Answer your answer and show all the steps that you used to solve this problem in the space provided use the 30° - 60° - 90° triangle theorem to find the answer

Answers

Answer 1

The value of x is 8 inches.

To find the value of x, we can use the property of similar triangles that states that the corresponding sides of similar triangles are in proportion. Specifically, we can set up the proportion:

4/10 = x/20

We can then cross-multiply to get:

4 * 20 = 10 * x

Simplifying this equation gives us:

80 = 10x

Dividing both sides by 10, we get:

x = 8

Therefore, the value of x is 8 inches.

In summary, we used the property of similar triangles and set up a proportion involving the corresponding sides of the two triangles. By cross-multiplying and simplifying, we were able to find the value of x.

Learn more about Triangles:

https://brainly.com/question/29789999

#SPJ4

Complete Question:

Enter your answer and show all the steps that you use to solve this problem in the space provided.

On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.

The two triangles above are similar. Find the value of x. Be sure to explain your steps.


Related Questions

Solve for x and y.
8
7
X
y

Answers

By answering the presented question, we may conclude that Therefore, the solution to the system of equations is: x = 36/31 and y = 57/31.

What is equation?

In mathematics, an equation is a statement stating the equivalence of two expressions. An equation generally made up of two sides delimited by a system of equations (=). For example, the argument "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The objective of equation solving is to identify the amount or amounts of the variables ( independent variables) that will allow this equation to really be true. Mathematics can be simple or complex, regular or quadratic, and contain one or more parts. In the equation "x2 + 2x - 3 = 0," for illustration, the variable x is elevated to the second power. Lines are employed in numerous different fields of mathematics, including arithmetic, calculus, and geometry.

From the given system of equations, we have:

[tex]8x + 7y = 17 ...(1)\\x - 3y = -5 ...(2)\\x = 3y - 5 ...(3)\\8(3y - 5) + 7y = 17\\24y - 40 + 7y = 17\\31y = 57\\y = 57/31\\x = 3(57/31) - 5\\x = 36/31[/tex]

Therefore, the solution to the system of equations is:

x = 36/31 and y = 57/31.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The solution to the system of equations is: x = 36/31 and y = 57/31.

What is equation?

In mathematics, an equation is a statement stating the equivalence of two expressions. An equation generally made up of two sides delimited by a system of equations (=). For example, the argument "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The objective of equation solving is to identify the amount or amounts of the variables ( independent variables) that will allow this equation to really be true. Mathematics can be simple or complex, regular or quadratic, and contain one or more parts. In the equation [tex]"x^2 + 2x - 3 = 0,[/tex]" for illustration, the variable x is elevated to the second power. Lines are employed in numerous different fields of mathematics, including arithmetic, calculus, and geometry.

From the given system of equations, we have:

[tex]$\begin{aligned} & 8 x+7 y=17 \ldots(1) \\ & x-3 y=-5 \ldots(2) \\ & x=3 y-5 \ldots(3) \\ & 8(3 y-5)+7 y=17 \\ & 24 y-40+7 y=17 \\ & 31 y=57 \\ & y=57 / 31 \\ & x=3(57 / 31)-5 \\ & x=36 / 31\end{aligned}$[/tex]

Therefore, the solution to the system of equations is:

x = 36/31 and y = 57/31.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

If Alyssa has 6 shirts, 4 skirts, and 10 pairs of shoes, how many possible outfits can she make?

Answers

Answer: 240

You multiply them. 6x4x10 :)

The number of different outfits made by Alyssa as per the given number of shirt , skirts and shoes is equal to 240 outfits.

To find the number of possible outfits Alyssa can make, you multiply the number of choices for each item of clothing:

Number of shirts = 6

Number of skirts = 4

Number of pairs of shoes = 10

Substitute the values and multiply with each other

Total number of possible outfits

= 6 (shirts) × 4 (skirts) × 10 (shoes)

= 240 outfits.

Therefore, Alyssa can make 240 different outfits using her 6 shirts, 4 skirts, and 10 pairs of shoes.

learn more about outfits here

brainly.com/question/34263619

#SPJ2

Question
Find the value of y
for the given value of x
.

y=1−2x;x=9

Answers

Answer:

y=-17

Step-by-step explanation:

1-2(9)=1-18=-17

Answer: y = -17

Step-by-step explanation:

Using PEMDAS, you need to do the multiplication first. 2 times x is 18, because the value of x is 9. You will then get 1 - 18. This is -17, so y = -17. I hope that this helped! :)

Which equation could represent the shown graph below

Oy=√x-2
O y = √x+2
O y = -√x+2
O y = -√x-2

Answers

Answer: y = -√x+2 (very last option)

Reasoning:

The function has a parent function of a square root function, and it is translated 2 units right. A horizontal translation is stated in the opposite direction, so even though the function shifted +2 units left, it is expressed as -2, hence x-2. The function then had all y-values reflected over the c-axis, hence the negative in front of the square root radical. This results in the transformed function of y = - √x-2

Between which consecutive integer does the square root of 138 lie

Answers

The square root of 138 is between 11 and 12. We can determine this by observing that 11 squared is 121, which is less than 138, and 12 squared is 144, which is greater than 138.

Therefore, the square root of 138 must lie between 11 and 12. Another way to approach this problem is to use estimation. We can start with the closest perfect square to 138, which is 12 squared (144).

Then we can divide the difference between 138 and 144 by twice 12, which gives us (144-138)/(2*12) = 6/24 = 1/4. This means that the square root of 138 is approximately 12 - 1/4 = 11.75, which is between 11 and 12.

In summary, the square root of 138 lies between 11 and 12, as 11 squared is less than 138 and 12 squared is greater than 138. Alternatively, we can estimate the square root of 138 as 11.75, which is also between 11 and 12.

Learn more about square root here:

https://brainly.com/question/1387049

#SPJ4

The number 2 is the first even counting number,4 is the second even number, 6 is the third even number, and so forth. What is the sum of the first 25th even counting numbers

Answers

The number 2 is the first even counting number,4 is the second even number, 6 is the third even number, and so forth. the sum of the first 25th even counting numbers is 650.

Since we are given that the first even counting number is 2 and each subsequent even counting number can be obtained by adding 2 to the previous one. so  by using the formula for finding the 25th term of an arithmetic series  which :

an=a+(n-1)d, where the nth term d is a common difference and a is the first term so, the  25th term is 2 + (25-1)*2 = 2 + 48 = 50. Now for finding the sum of the first 25 even counting numbers, we use the formula which is Sn = n /2 * (a1 + an),  where Sn is the sum of the first n terms of the series, a1 is the first term, and an is the nth term. since in this  n=25, a1=2 and an=50, so  after substituting the  values we get  S25 = 25/2 * (2 + 50) = 25/2 * 52 = 650

To know more about arithmetic series refer to the link  brainly.com/question/16415816

#SPJ4

what is -0.33333333333 as a fraction

Answers

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

Find the probability of
drawing a spade, then
drawing a face card out of a
deck

Answers

The likelihood of pulling a spade followed by a face card from a deck is 3/52, or roughly 0.0588. (rounded to four decimal places).

What is the probability?

The probability of drawing a spade from a deck of 52 cards is 13/52, or 1/4, since there are 13 spades in the deck.

Once a spade has been drawn and not returned to the deck, there are now 51 cards left in the deck, of which 12 are face cards (the Jack, Queen, and King of each suit). Therefore, the probability of drawing a face card given that a spade has already been drawn is 12/51.

To find the probability of both events happening together (drawing a spade and then a face card), we can multiply the probabilities of each event:

P(drawing a spade, then drawing a face card) = P(drawing a spade) x P(drawing a face card given that a spade has been drawn)

= (1/4) x (12/51)

= 3/52

Therefore, the probability of drawing a spade, then drawing a face card out of a deck is [tex]3/52[/tex]  , or approximately [tex]0.0588[/tex] (rounded to four decimal places).

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

The research department at the home office of automobile accidents,the characterstics of the driver, and so an. A random sample 400 police written on single persons revealed 120 had at least one accident in previous three year period

Answers

 The study collected data from a random sample of 400 police reports on single persons. The data revealed that 120 individuals in the sample had been involved in at least one automobile accident in the previous three-year period.                

The research department at the home office of automobile accidents has conducted a study to understand the characteristics of drivers who are more likely to be involved in automobile accidents.

The study collected data from a random sample of 400 police reports on single persons. The data revealed that 120 individuals in the sample had been involved in at least one automobile accident in the previous three-year period. This finding is significant because it suggests that a significant proportion of drivers are at risk of being involved in accidents. The study provides valuable insights into the factors that may contribute to automobile accidents, such as driver behavior, age, and experience.

The study may help policy makers and law enforcement agencies develop targeted interventions to reduce the incidence of automobile accidents. For example, the study may suggest that more targeted driver education programs or increased enforcement of traffic laws may be necessary to improve road safety.   Overall, the study conducted by the research department at the home office of automobile accidents provides valuable insights into the incidence and causes of automobile accidents. The findings may inform policies and interventions that can help reduce the risk of accidents and improve road safety.

To know more about sample click here:    

brainly.com/question/17098675

#SPJ4

find the long leg: b =

Answers

Answer:

b ≈ 12.1

Step-by-step explanation:

using the tangent ratio in the right triangle

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{7}[/tex] ( multiply both sides by 7 )

7 × tan60° = b , then

b ≈ 12.1 ( to the nearest tenth )

What is the probability of
drawing a face card, then
drawing a heart with
replacement

Answers

Answer:

n(s) =52. n(f) = 12 n(h) = 13

p (f)= 13/52. p(f)= 12/52

The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with their respective prices in 1983 and today.ItemPrice in 1983 ($)Current Price ($)Pair of boots67.45126.85Hair dryer15.2529.95Box of tissues1.152.25Toaster22.8544.25Using the prices shown on this chart, which of the following is a reasonable estimate of the current CPI?a. 208b. 195c. 180d. 173

Answers

None of the given options (i.e. a, b, c, or d) is correct.

Given the prices of consumer items, we can find the estimate of the current CPI.

The percentage change in the price of the consumer item over time can be given as:

Percentage change = (Current Price − Price in 1983)/Price in 1983 × 100%

Now, using the percentage change we can find the average percentage change (increase or decrease) in prices. We calculate the average percentage change by finding the sum of the percentage change in prices of all items and then dividing it by the number of items.

Thus, we have:

Average percentage change = [(126.85−67.45)/67.45 + (29.95−15.25)/15.25 + (2.25−1.15)/1.15 + (44.25−22.85)/22.85]/4Average percentage change = 4.4188%

Now, the current CPI can be found using the following formula:

Current CPI = CPI in 1983 × [1 + (Average percentage change)/100]Current CPI = 100 × [1 + 4.4188/100] ≈ 104.42 ≈ 104

Therefore, the reasonable estimate of the current CPI is 104.

None of the given options (i.e. a, b, c, or d) is correct.

To learn more about “ CPI” refer to the https://brainly.com/question/8416975

#SPJ11

Without dividing how can you decide which quotient is greater: 51 +31 or 5 1/4÷2 1/2​

Answers

Answer:

51 + 31

Step-by-step explanation:

To compare which quotient is greater between 51+31 and 5 1/4 ÷ 2 1/2, we can use estimation.

First, we can estimate 51+31 to be around 80.

Then, for the second quotient 5 1/4 ÷ 2 1/2, we can convert the mixed numbers to improper fractions to get 21/4 ÷ 5/2. We can then multiply the divisor (5/2) by 2/2 to get a common denominator of 10. This gives us 21/4 ÷ 5/2 = 21/4 ÷ 5/10. We can then invert the divisor and multiply to get 21/4 x 10/5 = 21/2 or 10.5.

Since 80 is greater than 10.5, we can conclude that 51+31 is greater than 5 1/4 ÷ 2 1/2.

Use the following points to find the slope.
(1, -1)
(4, 8)



Use the slope and one of the points to find the y-intercept.



Write the final formula.

*

Answers

Answer:

the formula is -xcomma y because I there is y intercept then there x will be negative. not y

Ben knows that a line passes through the point (-3, 8) and has a slope of -3/4, but he needs to find the equation of the line. Therefore, he should substitute 8 for_______
and he should substitute -3 for _________, and he should substitute -3/4 for __________ into the Point-Slope Formula. He will need to __________ and simplify before solving for y = mx + b form.

Answers

Answer:

Ben knows that a line passes through the point (-3, 8) and has a slope of -3/4, but he needs to find the equation of the line. Therefore, he should substitute 8 for_______

and he should substitute -3 for _________, and he should substitute -3/4 for __________ into the Point-Slope Formula. He will need to __________ and simplify before solving for y = mx + b form.

Step-by-step explanation:

To use the Point-Slope formula to find the equation of the line, Ben should substitute the following values:

Substitute 8 for y, since the point (-3, 8) has a y-coordinate of 8.

Substitute -3 for x, since the point (-3, 8) has an x-coordinate of -3.

Substitute -3/4 for m, since the line has a slope of -3/4.

The Point-Slope formula is:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 8 = (-3/4)(x - (-3))

Simplifying the right-hand side, we get:

y - 8 = (-3/4)(x + 3)

To get the equation in y = mx + b form, we can start by distributing the (-3/4) to the x and the 3:

y - 8 = (-3/4)x - 9/4

Adding 8 to both sides, we get:

y = (-3/4)x + 23/4

So the equation of the line is y = (-3/4)x + 23/4.

A company that chipe crystal bowis claims that bowls anive undamaged in 95 percent of the shipments. Let the randomi variable represent the number of shipments with undamaged bowis in 25 randomly elected shipments, Fandom variable Grotows a binomial distribution with a mean of 23.75 shipments and a standard deviation of approximately 1.09 shipments. Which of the following is the best interpretation of the mean?A. Every shipment of 25 bowls will have 23.75 undamaged bowlsB. Every slypment of 25 bowls will have 23.75 damaged bowl.C. On average the company receives 23.25 is before receiving the first her with a damaged bowlD. For possible shipments of 25 average number of damaged shipment equal to 23.75E. for all possible shipment of size 25 the average number of undamaged shipment equal to 23.75

Answers

The best interpretation of the mean is A) "Every shipment of 25 bowls will have 23.75 undamaged bowls."

The question states that the company claims that 95% of their shipments arrive undamaged. This implies that the probability of a bowl being damaged in a shipment is 0.05.

Since the random variable G follows a binomial distribution with n=25 (number of shipments) and p=0.05 (probability of a shipment having a damaged bowl), the mean of G is given by np = 25 x 0.05 = 1.25.

However, the question asks about the number of undamaged bowls in a shipment, which is simply the number of bowls in a shipment minus the number of damaged bowls.

Therefore, the mean number of undamaged bowls in a shipment is 25 - 1.25 = 23.75. This means that on average, a shipment of 25 bowls will have 23.75 undamaged bowls.

For more questions like Random variable click the link below:

https://brainly.com/question/17344045

#SPJ11

P(A) = 1/2 P(B) = 3/4 and P(A U B) = 3/8 Find P(A n B)

Answers

Answer:

P(A n B) = 1/4

Step-by-step explanation:

We know that:

P(A U B) = P(A) + P(B) - P(A n B)

Substituting the given values, we get:

3/8 = 1/2 + 3/4 - P(A n B)

Simplifying, we get:

P(A n B) = 1/4

Answer: P ( A n B ) = 7/8

                                   

Step-by-step explanation:  P ( A U B ) = P(A) + P(B) - P( A n B )

                                                         3/8   =   1/2  + 3/4 - P( A n B )

                                                         3/8   =   5/4 - P ( A n B )

                                               P ( A n B )  =  5/4 - 3/8

                                               P ( A n B )  =   7/8

an aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. the aquarium is filled with water to a depth of 37 cm. a rock with volume $1000 \text{cm}^3$ is then placed in the aquarium and completely submerged. by how many centimeters does the water level rise? express your answer as a decimal to the nearest 100th.

Answers

The water level in the aquarium rises by (A) 0.25.

The volume of water in the aquarium before the rock is added is:

100 cm x 40 cm x 37 cm = 148000 cm^3

When the rock is added, its volume is 1000 cm^3, so the total volume of water and the rock is:

148000 cm^3 + 1000 cm^3 = 149000 cm^3

To find the new water level, we need to divide the total volume by the base area of the aquarium:

149000 cm^3 ÷ (100 cm x 40 cm) = 37.25 cm

Therefore, the water level rises by:

37.25 cm - 37 cm = 0.25 cm

So the answer is (A) 0.25.

Learn more about geometry and volume:https://brainly.com/question/27710307

#SPJ11

Your question is incomplete, but probably the complete question is :

An aquarium has a rectangular base that measures 100 cm by 40cm and has a height of 50cm. The aquarium is filled with water to a depth of 37 cm. A rock with volume 1000cm^3 is then placed in the aquarium and completely submerged. By how many centimeters does the water level rise?

(A) 0.25

(B) 0.5

(C)

(D)1.25

(E) 2.5

Find the product of (7-8x)(3x^3-2x^2+x)

Answers

Answer:

Step-by-step explanation:

To find the product of (7-8x)(3x^3-2x^2+x), we need to use the distributive property of multiplication over addition/subtraction.

First, let's distribute the 7 across the second factor:

(7)(3x^3) - (7)(2x^2) + (7)(x)

This simplifies to:

21x^3 - 14x^2 + 7x

Next, we need to distribute the -8x across the second factor:

(-8x)(3x^3) + (-8x)(-2x^2) + (-8x)(x)

This simplifies to:

-24x^4 + 16x^3 - 8x^2

Now, we can combine the two simplifications:

(7-8x)(3x^3-2x^2+x) = 21x^3 - 14x^2 + 7x - 24x^4 + 16x^3 - 8x^2

Finally, we can combine like terms to simplify the expression:

-24x^4 + 37x^3 - 22x^2 + 7x

Therefore, the product of (7-8x)(3x^3-2x^2+x) is -24x^4 + 37x^3 - 22x^2 + 7x.

Please help it’s for tmr, I only have 0 minute left
Leo has a number of toy soldiers between 27 and 54. If he wants to group them four by four, there are none left, seven by seven, 6 remain, five by five, 3 remain. How many toy soldiers are there?
The answer is 48 but I need step by step explanation

Answers

Leo has 48 toy soldiers.

What is the key concept is used to solve the question ?

This problem involves finding a number that satisfies certain conditions related to division with remainders. Specifically, the number must be divisible by 4 with no remainder, must leave a remainder of 6 when divided by 7, and must leave a remainder of 3 when divided by 5.

Calculating the number of toy soldiers :

Let's start by using the first condition to narrow down the possibilities for the number of toy soldiers. We know that the number must be divisible by 4 with no remainder, and it must be between 27 and 54. The multiples of 4 in this range are 28, 32, 36, 40, 44, 48, and 52.

Next, we can use the second condition to eliminate some of these possibilities. If we divide each of these numbers by 7, we get the following remainders:

28 ÷ 7 = 4 remainder 0

32 ÷ 7 = 4 remainder 4

36 ÷ 7 = 5 remainder 1

40 ÷ 7 = 5 remainder 5

44 ÷ 7 = 6 remainder 2

48 ÷ 7 = 6 remainder 6

52 ÷ 7 = 7 remainder 3

The only number in our list that leaves a remainder of 6 when divided by 7 is 48, so we can tentatively conclude that this is the number of toy soldiers.

Finally, we can check the third condition to make sure that 48 leaves a remainder of 3 when divided by 5. Indeed, 48 ÷ 5 = 9 remainder 3, so all of the conditions are satisfied.

Therefore, we can confidently say that Leo has 48 toy soldiers.

To know more about remainder visit :

brainly.com/question/23148931

#SPJ1

Consider the circuit depicted in the diagram. Part (a) Write the equation which results from applying the loop rule to loop akledcba. Part (b) If the current going through the center of the loop is 65 A, what is the current going through the top, in amps?ξ = 24.0ν b 0.10Ω Β, 5.0Ω ε2, 48.0ν RS 20 Ω a τη: R w- 40 Ω e 0.50 Ω ΓΑ *0.20 Ω R 78 Ω 36.0V ξ: 6.0ν 9 10.05 Ω h

Answers

The equation which results from applying the loop rule to loop akledcba is Ia + Ik + Il + Ie + Id + Ic + Ib + Ia

The current going through the top is 2.71 A.

Itop = 65 A - (24.0 V/0.10 Ω) - (5.0 Ω * 2) - (48.0 V/20 Ω) - (40 Ω * 0.50 Ω) - (36.0 V/6.0 Ω) - (10.05 Ω * 0.20 Ω) - (78 Ω * 0.20 Ω) = 2.71 A.


For Part (a), the equation resulting from applying the loop rule to loop akledcba is:


Iakledcba = Ia + Ik + Il + Ie + Id + Ic + Ib + Ia


For Part (b), if the current going through the centre of the loop is 65 A, then the current going through the top in amps is:2.71 A.

For such more questions on Itop loop

https://brainly.com/question/13720505

#SPJ11

Let be a random variable with the following probability distribution:
Value (P(X=x)
x of X
10) (0.05)
20) (0.65)
30) (0.05)
40) (0.20
50) (0.05)
Find the expectation E (X) and variance Var (X) of X.

Answers

Answer:Let be a random variable with the following probability distribution

Value x of X / P (X=x)

20 / 0.05

30 / 0.05

40 / 0.35

50 / 0.20

60 / 0.35

Find the expectation of E(X) and variance Var (X) of X.

(A) E (x) = ?

(B) Var (X) =?

Step-by-step explanation:

Describe the relationship between n and 4 that makes the equation 7 x n/4 greater that 7

Answers

An Inequality is a relationship between two expressions or values that aren't equal. The relationship between n and 4 is given by the inequality n> 4.

We want to find a relation between n and 4 similar that

7 *( n/ 4)> 7

still, we get

If we now divide both sides of the former inequality by 7.

7 *( n/ 4)/ 7>7/7

n/ 4> 1

So n/ 4 must be lesser than 1.

A better way to show the relationship is to multiply both sides of the inequality by 4.

4 *( n/ 4)> 4 * 1

n> 4

So the relationship between n and 4 is that n must be lesser than 4.

In mathematics, an inequality is a relationship that results in an unstable comparison of two figures or other fine expressions. It's frequently used to compare two figures on a number line grounded on their size.

To know more about Inequality,

brainly.com/question/25944814

#SPJ4

For each of the following elementary matrices, describe the corresponding elementary row operation and write the inverse.
a. E = 1 0 3
0 1 0
0 0 1
b. E = 0 0 1
0 1 0
1 0 0
c. E = 1 0 0
0 1/2 0
0 0 1
d. E = 1 0 0
-2 1 0
0 0 1
e. E = 0 1 0
1 0 0
0 0 1
f. E = 1 0 0
0 1 0
0 0 5

Answers

In the given elementary matrix, the corresponding elementary row operation is multiplication of the second row of a given matrix with a scalar of 5. The given matrix is an elementary matrix because it can be obtained by multiplying an identity matrix by an elementary matrix. The inverse of the given matrix can be obtained by multiplying a scalar of 1/5 to the second row of the identity matrix.

The given elementary matrix is:
[1 0 0]
[0 0 5]
[0 1 0]

The corresponding elementary row operation for this matrix is multiplication of the second row of a given matrix with a scalar of 5. This means that if we have a matrix A and we multiply the second row of A with a scalar of 5, we get a new matrix B which is represented by the above elementary matrix.

The inverse of the given matrix is:
[1 0 0]
[0 1/5 0]
[0 0 1]

The inverse of a given elementary matrix can be obtained by applying the inverse of the corresponding elementary row operation to an identity matrix. In this case, the inverse of the given elementary matrix can be obtained by multiplying a scalar of 1/5 to the second row of the identity matrix. This gives us the above inverse matrix.

Therefore, the corresponding elementary row operation for the given matrix is multiplication of the second row of a given matrix with a scalar of 5 and the inverse of the given matrix is:
[1 0 0]
[0 1/5 0]
[0 0 1]

for such more questions on inverse matrix.

https://brainly.com/question/12442362

#SPJ11

A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males (Boston Globe, August 16, 2010). Suppose 250 females and 200 males responded to the study.
Let p1 represent the population proportion of females with asthma and p2 the population proportion of males with asthma. Let females and males represent population 1 and population 2, respectively.
a. Develop the appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males.
H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
b. Calculate the value of the test statistic and its associated p-value. (Round intermediate calculations to 4 decimal places, "test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
Test statistic p-value c. At the 5% significance level, what is the conclusion? Do the data suggest that females suffer more from asthma than males?
No, since we reject H0
No, since we do not reject H0
Yes, since we reject H0
Yes, since we do not reject H0

Answers

The data suggest that females suffer more from asthma than males.

The null and alternative hypotheses for this problem are:
H0: p1 - p2 = 0; HA: p1 - p2 ≠ 0
The value of the test statistic is 3.7775 and its associated p-value is 0.0002. At the 5% significance level, the conclusion is that we reject the null hypothesis, and therefore we can say that the data suggest that females suffer more from asthma than males.

Learn more about Suffer

brainly.com/question/26395294

#SPJ11

A system of equations is graphed on the coordinate plane.
A student concludes that the solution of the system is (-0.5, 1.5).
Is this correct? Justify your response.

Answers

The correctness of the student's solution, we need to have the equations of the system.

A system of equations is graphed on the coordinate plane. A student concludes that the solution of the system is (-0.5, 1.5). Is this correct? Justify your response.To conclude that a system of equations has a solution in the coordinate plane, a set of ordered pairs (x, y) should satisfy both equations in the system of equations. That is, the system of equations should have a point (x, y) that is a solution of both equations.Only by testing the solution in the given system of equations can we know if the student's conclusion is correct. If the solution is satisfied by the system of equations, then the answer is true. Otherwise, it is false. However, since no system of equations is provided in the question, we cannot test the student's solution.To justify the correctness of the student's solution, we need to have the equations of the system.

Learn more about Correctness

brainly.com/question/20858106

#SPJ11

To save for retirement, Ed is investing 14.286 thousand dollars this year. Write the function R(t) that shows the stream of money flowing into Ed's investment account under each of the following circumstances. Assume a continuous income stream. Do NOT round any values (a) Ed continues to invest the same amount each year for the next 20 years. R(t)-14.286thousand dollars per year (b) Ed increases his investment by 3.75 thousand dollars per year over the next 20 years. A(t)-18.036 | X thousand dollars per year (c) Ed increases his investment by 3.75% each year over the next 20 years. R(t)- thousand dollars per year

Answers

(a) Since Ed continues to invest the same amount each year for the next 20 years, the function R(t) will be constant and equal to 14.286 thousand dollars per year:

R(t) = 14.286

(b) Since Ed increases his investment by 3.75 thousand dollars per year over the next 20 years, the function R(t) will be a linear function of time, with a slope of 3.75 and an initial value of 14.286:

R(t) = 14.286 + 3.75t

(c) Since Ed increases his investment by 3.75% each year over the next 20 years, the function R(t) will be a geometric sequence, with a common ratio of 1.0375 and an initial value of 14.286:

R(t) = 14.286 * (1.0375)^t

Note that since the function is continuous, we could also use the continuous growth formula [tex]R(t) = 14.286 * e^{0.0375t}[/tex] to model the investment stream.

You can learn more about function R(t) at

https://brainly.com/question/30390177

#SPJ11

Solve for x in a triangle

Answers

In a right triangle, the trigonometric ratio x must be positive. There isn't an x solution that meets the requirements. The cosine and sine function values given are incompatible with a correct right triangle. x = -0.40

Which triangle is on the right?

A right triangle is one with a 90 degree inner angle. The two arms of a right angle are made up of height and base.

The sum of the angles B and C's measurements in a right triangle is 90 degrees (since angle A is 90 degrees).

So we have:

B + C = 90

And since sin C = 3x + 0.31, we know that:

C = sin⁻¹(3x + 0.31)

B + sin⁻¹(3x + 0.31) = 90

Subtracting sin⁻¹(3x + 0.31) from both sides, we get:

B = 90 - sin⁻¹(3x + 0.31)

Now we can use the fact that cos B = x - 0.49:

cos(90 - sin⁻¹(3x + 0.31)) = x - 0.49

Using the identity cos(90 - θ) = sin(θ), we can rewrite this as:

sin(sin⁻¹(3x + 0.31)) = x - 0.49

Simplifying the left side using the inverse sine function, we get:

3x + 0.31 = x - 0.49

Subtracting x and 0.31 from both sides, we get:

2x = -0.80

Dividing both sides by 2, we get:

x = -0.40

To know more about right triangle visit:-

https://brainly.com/question/6322314

#SPJ1

Solve each inequality (show work)

Answers

Answer:

5 less than or equal to x

Step-by-step explanation:

make x subject

Use the quadratic formula to solve. Show work describe solution.

Answers

Answer:

Use the quadratic formula to solve. Show work describe solution.

Step-by-step explanation:

The quadratic formula is used to find the solutions (or roots) of a quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are constants.

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

To use the quadratic formula, we need to plug in the values of a, b, and c from the given equation and solve for x.

For example, let's say we have the equation 2x^2 + 5x - 3 = 0.

Here, a = 2, b = 5, and c = -3.

Plugging these values into the quadratic formula, we get:

x = (-5 ± sqrt(5^2 - 4(2)(-3))) / 2(2)

Simplifying the expression inside the square root:

x = (-5 ± sqrt(49)) / 4

x = (-5 ± 7) / 4

We get two solutions:

x = (-5 + 7) / 4 = 1/2

x = (-5 - 7) / 4 = -3

So the solutions to the equation 2x^2 + 5x - 3 = 0 are x = 1/2 and x = -3.

These solutions represent the points where the quadratic curve intersects the x-axis. They can also be used to factor the quadratic equation or graph the quadratic function.

Other Questions
5. There are 12 drinks in a pack. Sally Took 3/4 of these drinks for her party How many did she take? Are the languages, Limos Kalinga and Lubugan Kalinga both starting to die out? If yes, explain why Categorize the following exercises as being isometric or isotonic.Pushing constantly against a concrete wallRunning up a hillSwimming freestylePedaling a bicycle on a flat surfaceHolding a bench-press bar in the same positionDoing a plank exercise (holding a push-up position)Balancing on tiptoesDoing bicep curls select all of the reasons that gene regulation is advantageous in multicellular eukaryotic organisms. an investor deposits $50 on the first day of each month in an account that pays 3% interest, compounded monthly. what is the balance at the end of 2 years ? Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 137 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)-state the null hypothesis-state the alternative hypothesis- In words state what random variable P' represents- State the distribution for the test: P'~-what is the test statistics? z or t distribution-What is the P value- Explain what the P value means- Sketch picture of the situation- construct 95% construction interval for the true proportion How does the New Space pioneers testing of supersonic retropropulsion technology support the authors claim? How does it add to your understanding of the argument? kin selection theory is based on the idea that as a species, we try to maximize the passing on of genes of my species, even if it may mean that i, personally, do not survive. this is an evolutionary theory known as: indicated for patients with generalized symptoms. A client with rheumatoid arthritis has experienced increasing pain and progressing inflammation of the hands and feet. What would be the expected goal of the likely prescribed treatment regimen? A.Minimizing damage B. Eradicating pain C.Eliminating deformities D.Promoting sleep Im a bit stuck please help me out g company xyz know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 17 years and a standard deviation of 1.7 years. find the probability that a randomly selected quartz time piece will have a replacement time less than 13.3 years? FILL IN THE BLANK. ______ is the process by which experienced members of the organization provide guidance and advice to newer members. In atrial fibrillation, the atria do not properly contract: Howv would this be apparent on an ECG? P waves would be reduced or absent T waves would be recluced or absent ORS waves would be reduced or absent Splish Brothers Hardware Store completed the following merchandising transactions in the month of May. At the beginning of May, the ledger of Splish Brothers showed Cash of $8,000 and Common Stock of $8,800.May 1Purchased merchandise on account from Black Wholesale Supply for $7,300, terms 1/10, n/30.2Sold merchandise on account $4,800, terms 2/10, n/30. The cost of the merchandise sold was $3,600.5Received credit from Black Wholesale Supply for merchandise returned $200.9Received collections in full, less discounts, from customers billed on May 2.10Paid Black Wholesale Supply in full, less discount.11Purchased supplies for cash $800.12Purchased merchandise for cash $3,100.15Received $210 refund for return of poor quality merchandise from supplier on cash purchase.17Purchased merchandise on account from Wilhelm Distributors for $2,400, terms 2/10, n/30, FOB shipping point.19Paid freight on May 17 purchase $250.24Sold merchandise for cash $5,500. The merchandise sold had a cost of $3,900.25Purchased merchandise on account from Clasps, Inc. for $800, terms 3/10, n/30.27Paid Wilhelm Distributors in full, less discount.29Made refunds to cash customers for returned merchandise $124. The returned merchandise cost $8.31Sold merchandise on account for $1,360 terms n/30. The cost of the merchandise sold was $840.Splish Brothers Hardwares chart of accounts includes the following: No. 101 Cash, No. 112 Accounts Receivable, No. 120 Inventory, No. 126 Supplies, No. 201 Accounts Payable, No. 311 Common Stock, No. 401 Sales Revenue, No. 412 Sales Returns and Allowances, No. 414 Sales Discounts, and No. 505 Cost of Goods Sold.A.Journalize the transactions using a perpetual inventory system.B. Post the transactions to T-accounts. Be sure to enter the beginning cash and common stock balancesC. Prepare an income statement, through Gross Profit for the month of May 2015D. Calculate the Profit Margina and Gross Profit Rate assuming operating expenses were $1,400. sulfur (s) belongs to the: select the correct answer below: halogens noble gases alkali metals chalcogens BRAINLIST! PLEASE HELP What do you think when you see this quote For these women in the U.S. who were born with a right, grew up knowing this was their right, to wake up one day and say you cant anymore is a gut-punch to morale The end point for a titration can be determined graphically. The end point volume for a second derivative plot corresponds to: . A) the volume titrant added where the second derivative curve crosses the x-axis. B) the volume titrant added where the second derivative curve has maximum slope. C) the volume titrant added where the second derivative curve crosses the y-axis. D) the volume titrant added where the second derivative curve has minimum slope. E) the volume titrant added where the second derivative curve has a maximum negative slope. why is respiration a better method than fermentation for extracting energy from glucose? draw the structure of an alkene with one double bond that would give the following compound as the only product after ozonolysis followed by h2o2 . Ignacio makes a display shelf from 4 wooden boards. All angles formed by theboards are right angles. Ignacio plans to stain all faces of the shelf, except theback face, which will be against the wall. What is the total area Ignacio willstain? Show your work.5127 in.1232 in.30 in.7217569 in.4 in.51224A329-30.772