The scale on a map is 1:320000

What is the actual distance represented by 1cm?

Give your answer in kilometres.

Answers

Answer 1

By answering the presented question, we may conclude that Therefore, 1  expressions cm on the map corresponds to a real distance of 3.2 km. 

what is expression ?

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Scale 1:

320000 means that 1 unit on the map represents his 320000 units in the real world.

To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.

1 kilometer = 100000 cm

So,

1 unit on the map = 320000 units in the real world

1 cm on the map = (1/100000) km in the real world

Multiplying both sides by 1 cm gives:

1 cm on the map = (1/100000) km * 320000

A simplification of this expression:

1 cm on the map = 3.2 km

Therefore, 1 cm on the map corresponds to a real distance of 3.2 km. 

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Related Questions

to enter their home the clayton family enters a 4 digit code how many codes are possible.

Answers

A Clayton family can therefore employ 10,000 different codes to access their house.

What makes fingers digits?

In actuality, the habit of numbering to ten on the fingers is what gave rise to the custom of calling numbers by their digits. The English term "number" is derived from the Latin word digits, which originally meant "finger or toe." If the code is made up of four digits, and each digit can be any number from 0 to 9, then there are 10 possible choices for each of the four digits.

Hence, there are a total of the following codes:

10 x 10 x 10 x 10 = 10,000

Hence, the Clayton family has 10,000 different possible entry codes.

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As a sound wave travels, what happens to the particles in the medium it travels through i need help​

Answers

As a sound wave travels, the particles in the medium it travels through vibrate back and forth in the same direction as the wave travels.

How to explain what happens to the medium

As a sound wave travels through a medium, such as air or water, the particles in the medium vibrate back and forth in the same direction as the wave travels.

However, the particles themselves do not actually move along with the wave. Instead, the wave causes a disturbance in the particles, which then passes from one particle to the next, resulting in a wave-like pattern of motion that travels through the medium.

In other words, the sound wave is a disturbance that travels through the medium, causing the particles in the medium to oscillate back and forth around their equilibrium positions.

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Which graph represents this equation?
= 3/2x^2 - 6x

Answers

The parabola is passing through (0, 0) and (9, 0).

What is the parabola?

The locus of a moving point is the location that maintains a constant distance between a stationary point and a predetermined line.

The directrix is a non-moving line, while the focus is a non-moving point.

As you can see, the quadratic variable is not, which modifies the figure's orientation.

This parabola doesn't actually represent a function because it will open horizontally, specifically toward negative infinity, as the graphic linked illustrates.

The vertical line test will reveal that the vertical line in question intercepts the figure in two places, proving that it is not a function.

According to our question-

The equation of the parabola is given below.

y = (3/2)x² - 6x

Then the factor of the equation will be

y = 3x (x / 2 - 3)

Then the zeroes of the function will be

y = 0

x = 0, 9

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Each interior angle of a regular polygon is 140 Celcius.How many sides does the polygon have?

Answers

Answer:

9 sides

Step-by-step explanation:

180 - 140 = 40

360 ÷ 40 = 9

all subnets exist in ospf area 0. which command, if issued on r3, would show all the lsas known by r3

Answers

The command that will allow you to set the interface link as preferred over another in OSPF is the "ip ospf cost 10" command. The correct answer is D).

The OSPF protocol uses the concept of cost to determine the best path for routing information to a remote network. The cost of a particular path is calculated based on the bandwidth of the interface and is inversely proportional to it. Therefore, the lower the cost, the more preferred the path is.

To set the preferred link, you can decrease the cost of the desired interface using the "ip ospf cost" command. For example, if you want to set the cost of interface GigabitEthernet0/0 to 10, you can use the following command:

ip ospf cost 10 interface GigabitEthernet0/0

This will make OSPF prefer the specified interface over other interfaces with a higher cost, ensuring that traffic is routed through the preferred link.

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____The given question is incomplete, the complete question is given below:

You need to setup a preferred link that OSPF will use to route information to a remote network. Which command will allow you to set the interface link as preferred over another?

A. ip ospf preferred 10

B. ip ospf priority 10

C. ospf bandwidth 10

D. ip ospf cost 10

Help please! I have no idea!!!! PLEASEE

Answers

To highlight the line y = 0 on the graph in black/grey, draw a straight line passing through all points whose y-coordinate is 0.

What is graph?

In mathematics, a graph is a visual representation of a set of data, typically as a set of points or lines on a coordinate plane. Graphs are used to represent various types of data, such as numerical values, functions, relationships, and patterns.

Assuming that the graph is a coordinate plane with the x-axis and y-axis, do the following:

To highlight the point (9, 8) on the graph in red, locate the point (9, 8) on the coordinate plane and mark it with a red color.

To highlight the point (20, f(20)) on the graph in green, you need to know the value of f(20) first. Once you have that value, locate the point (20, f(20)) on the coordinate plane and mark it with a green color.

To highlight the line y = 5 on the graph in blue, draw a straight line passing through all points whose y-coordinate is 5. This line should be parallel to the x-axis and should be marked with a blue color.

Therefore To highlight the line y = 0 on the graph in black/grey, draw a straight line passing through all points whose y-coordinate is 0. This line should be parallel to the x-axis and should be marked with a black/grey color.

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PLEASE HELPPPP 30 POINTS!

Answers

Answer:

56

90

56

Step-by-step explanation:

easy easy lol.

aaaaa

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

To approximate the root of √5 with a precision of 0.0078125, the binary search method must be used. The process is repeated until the desired value is reached.

What is Intermediate Value Theorem?

The Intermediate Value Theorem states that if a continuous function takes on two different values at two different points, then it must take on a value in between those two points.

By using the function f(x) = x²-5, it can be seen that f(2) < 0 and f(3) > 0. This means that there must be a value, 2 < c < 3, such that f(c) = 0.

The next step is to determine if f(2.5) is less than or greater than 0. If it is the same sign as 2.5, the endpoint of the same sign must be used as the new endpoint of the interval.

By using the Intermediate Value Theorem, it was proven that there must be a value between 2 and 3 that satisfies the equation f(x) = x²-5. The midpoint of those two points was used as the first approximation, and by repeating the process of binary search, the desired precision was achieved.

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Pls help me! I only have 1 chances

Answers

Answer:

Neither parallel or perpendicular

Step-by-step explanation:

Parallel lines have the same slope.  Perpendicular slopes are the negative reciprocals of each other.

30y +25x = -180  Subtract 25x from both sides

30y + 25x - 25x = -25x - 180

30y = -25x - 180  Divide all the way through by 30

[tex]\frac{30y}{30}[/tex] = [tex]\frac{-25}{30}[/tex] - [tex]\frac{180}{30}[/tex]

y = [tex]\frac{-5}{6}[/tex] - 6

y = [tex]\frac{-6}{5}[/tex] x + 6

Comparing the 2 equations, we have slope of

[tex]\frac{-5}{6}[/tex] and [tex]\frac{-6}{5}[/tex]

These slopes are not the same so they are not parallel.

These slopes are not negative reciprocals. so they are not perpendicular.

Perpendicular slopes would be [tex]\frac{-5}{6}[/tex] and [tex]\frac{6}{5}[/tex] or [tex]\frac{-6}{5}[/tex] and [tex]\frac{5}{6}[/tex].  One slope would have to be negative and the other slope would have to be positive which they are not.

Helping in the name of Jesus.

I NEED HELP ASAP PLS!!!! WILL GIVE BRAINLY IF THE EXPLANATION IS GOOD

Copiers A, B, and C are used to produce 3n copies, n on each copier. Copier A makes 18 copies per minute and copier B makes 9 copies per minute. If the average copy speed is 15 copies per minute, what is the rate in copies per minute at which copier C makes copies? The answer is 30, but I do not understand how.

Answers

So we know that A+b+c=3n

A=18
B=9
Avg=15

27 and the average is 15
27+3=30
We add because all a b and c are used to create 3n copies in total n is the number on each copy machine, meaning we Can asume at least three copies are being made and tha C is a gr after amount than a and b combined

Converting from decimal to non-decimal bases. info About A number N is given below in decimal format. Compute the representation of N in the indicated base. (a) N = 217, binary. (b) N = 99, hex. (c) N = 344, hex. (d) N =136, base 7. (e) N = 542, base 5. (f) N = 727, base 8. (g) N = 171, hex. (h) N = 91, base 3. (i) N = 840, base 9.

Answers

Hence the conversion of given numbers according to given demand is

a) N=217 in binary = 11011001

b) N=99 in hexadecimal = 63

c) N= 344 in hexadecimal = 158

d) N= 136 in base 7 = 253.

e) N= 542 in base 5 = 4132.

f) N= 727 in base 8= 1327

g) N= 171 in hexa =1011

h) N=91 in base 3=10101.

i) N= 840 in base 9 =  1133

a) A good method to convert a decimal number to binary is dividing it by 2 and using the remainder of the division as the converted number, starting by the most significant bit (the right one). We can't divide anymore. So we have:

217÷2 = 108 + 1

108÷2 = 54 + 0

54÷2 = 27 + 0

27÷2 = 13 + 1

13÷2 = 6 + 1

6÷2 = 3 + 0

3÷2 = 2 +1

2÷2 = 1

The binary equivalent to 217 is 11011001

b) To convert a number from decimal to hex we can divide the number by 16, taking out the decimal part and multiplying it by 16 using that as our most significant number while using the result of the original division to continue our conversion. So we have:

99÷16 = 6.1875

The decimal part is 0.1875, we multiply it by 16 and obtain 3 as our most significant number. Since we can't divide 6 by 16 we have that as our least significant number then the hexadecimal equivalent is 63.

c) We follow the same steps as in item b:

344÷16 = 21.5

The most significant number is 0.5*16 = 8

21÷16 = 1.3125

The next number is 0.3125*16 = 5

Since we can't divide it anymore we have our result which is 158 in hex.

d) To convert from decimal to base 7 we'll use the same method as to hex, but this time dividing and multiplying by 7.

136÷7 = 19.428571

The most significant number is 0.428571 * 7 = 3

19÷7 = 2.71428571

The next number is 0.71428571*7 = 5

Since we can't divide it anymore we have our result which is 253.

e) To convert from decimal to a base 5 we'll use the same method as before but dividing and multiplying by 5.

542÷5 = 108.4

The most significant number is 0.4*5 = 2

108÷5 = 21.6

The next number is 0.6*5 = 3

21÷5 = 4.2

The next number is 0.2*5 = 1

Since we can't divide it anymore we have our result which is 4132.

f) To convert from decimal to a base 8 we'll use the same method as before but dividing and multiplying by 8.

727÷8 = 90.875

The most significant number is 0.875*8 = 7

90÷8 = 11.25

The next number is 0.25*8 = 2

11÷8 = 1.375

The next number is 0.375*8 = 3

Since we can't divide anymore we have our result which is 1327

g) Following the same steps as before:

171÷16 = 10.6875

The most significant number is 0.6875*16 = 11

Since we can't divide anymore we have our result which is 1011

h) Following the same steps as before:

91÷3 = 30.333333333

The most significant number is 0.333333*3 = 1

30÷3 = 10

The next number is 0

10÷3 = 3.3333333333

The next number is 0.333333*3 = 1

3÷3 = 1

Since we have the final value remainder as 0 the least significant number is 1

Since we can't divide anymore we have our result which is 10101.

i) Following the same steps as before:

840÷9 = 93.333333

The most significant number is 0.33333*9 = 3

93÷9 =  10.3333333

The next number is 0.333333*9 = 3

10÷9 = 1.11111111

The next number is 0.11111111*9 = 1

Since we can't divide anymore we have our result which is 1133

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Find the standard normal area for each of the following: round your answers to 4 decimal places

Answers

The answers to 4 decimal places are=

(a) 0.0884

(b) 0.0190

(c) 0.9596

(d) 0.2921

What is area?

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.

According to our question-

a= 2.25-1.25

0.0884

b= 3.04-2.04

0.0190

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Use the product of powers property to simplify the numeric expression. 2^2/5/2^1/10

Answers

Answer:

[tex] 2^\frac{3}{10} [/tex]

Step-by-step explanation:

[tex] \dfrac{2^\frac{2}{5}}{2^\frac{1}{10}} = [/tex]

[tex]= 2^{\frac{2}{5} - \frac{1}{10}}[/tex]

[tex]= 2^{\frac{4}{10} - \frac{1}{10}}[/tex]

[tex] = 2^\frac{3}{10} [/tex]

-51+((-5+(-4)) all calculation​

Answers

Answer:

the answer to that is -31

A zoo charges $15 for an adult tickets and $11 for children’s tickets. One day a total of $11,920 was collected from the sale of 960 tickets. How many of each were sold?

Answers

Answer:

Let's denote the number of adult tickets sold by "x" and the number of children's tickets sold by "y".

We know that the total number of tickets sold is 960, so:

x + y = 960

We also know the total amount collected, which is $11,920:

15x + 11y = 11,920

Now we have two equations with two unknowns, and we can solve for x and y. One way to do this is by using substitution. We can solve the first equation for x:

x = 960 - y

Then substitute this expression for x into the second equation:

15(960 - y) + 11y = 11,920

Expanding the brackets gives:

14,400 - 15y + 11y = 11,920

Simplifying:

4y = 2,480

y = 620

Now we can use this value of y to find x:

x = 960 - y = 960 - 620 = 340

Therefore, 340 adult tickets and 620 children's tickets were sold.

Answer:

Let's use a system of equations to solve the problem.

Let x be the number of adult tickets sold and y be the number of children's tickets sold.

We know that the total number of tickets sold is 960, so we can write:

x + y = 960

We also know that the total revenue from the ticket sales was $11,920. The revenue from the adult tickets is $15 times the number of adult tickets sold, and the revenue from the children's tickets is $11 times the number of children's tickets sold. So we can write:

15x + 11y = 11,920

We now have two equations with two unknowns, which we can solve using substitution or elimination. Let's use elimination:

Multiply the first equation by 11 to get 11x + 11y = 10,560

Subtract the second equation from the first to get:

15x + 11y - 15x - 11y = 11,920 - 10,560

Simplifying, we get:

4x = 1,360

Dividing both sides by 4, we get:

x = 340

So 340 adult tickets were sold.

Substituting this value back into the first equation, we get:

340 + y = 960

Solving for y, we get:

y = 620

So 620 children's tickets were sold.

Therefore, there were 340 adult tickets sold and 620 children's tickets sold.

Let S be the universal set, where:
S={1,2,3,...,23,24,25}
Let sets A and B be subsets of S, where:

Answers

The answer to this question according to given information is 10. The intersection of the sets A and C, denoted as (A∩C), is the set of all elements present in both A and C.

What is intersection?

Intersection is a term used to describe the common elements between two or more sets. A set is called as a collection of distinct objects, usually represented by a list, table, or diagram.  In other words, it is the overlap between the two sets. For example, the intersection of the set of even numbers and the set of prime numbers would be the set of all even prime numbers.

This is calculated by finding the common elements in the two sets. In this case, (A∩C) = {10, 13, 17, 23}.

Next, the intersection of (A∩C) and B, denoted as (A∩C)∩B, is the set of all elements which are common to all three sets. This is calculated by finding the common elements in (A∩C) and B. In this case, (A∩C)∩B = {10, 17}.

Finally, the number of elements in the set (A∩C)∩B is 10, since there are 10 elements in the set. To summarize, the number of elements in the set (A∩C)∩B is 10.

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The number of elements in the set (A∩C)∩B is 10. The intersection of the sets A and C, denoted as (A∩C), is the set of all elements present in both A and C.

What is intersection?

Intersection is a term used to describe the common elements between two or more sets. A set is called as a collection of distinct objects, usually represented by a list, table, or diagram.  

This is calculated by finding the common elements in the two sets.

In this case, (A∩C) = {10, 13, 17, 23}.

Next, the intersection of (A∩C) and B, denoted as (A∩C)∩B, is the set of all elements which are common to all three sets.

This can be calculated by finding the common elements in (A∩C) and B.

In this case, (A∩C)∩B = {10, 17}.

Finally, the number of elements in the set (A∩C)∩B is 10, since there are 10 elements in the set.

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Raul's favorite gummy bear colors are yellow and red. He bought a package of gummy bears that only had his favorite colors. When he counted the gummy bears, he had 20 red and 23 yellow. What is the ratio of red gummy bears to yellow gummy bears?

Question 2 options:

23/20

23/43

20/23

20/43

Answers

The ratio between the number of red gummy bears to the number of yellow gummy bears is of:

20/23.

How to obtain the ratio?

The ratio between the number of red gummy bears and the number of yellow gummy bears is obtained applying the proportions in the context of the problem.

To obtain the ratio between two amounts A and B, you need to divide the first amount by the second amount. The result of this division will give you the ratio of the two amounts.

The amounts for this problem are given as follows:

Amount A: 20 red gummy bears.Amount B: 23 yellow gummy bears.

Hence the ratio between these two amounts is given as follows:

20/23.

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( [9(1) g(n) = g(n − 1) (-4) Find an explicit formula for g(n). g(n): g(1) = -29 1​

Answers

Answer:

To find an explicit formula for g(n), we can start by using the recursive formula to generate some terms of the sequence:

g(1) = -29

g(2) = g(1) * (-4) = -29 * (-4) = 116

g(3) = g(2) * (-4) = 116 * (-4) = -464

g(4) = g(3) * (-4) = -464 * (-4) = 1856

We can see that each term in the sequence is obtained by multiplying the previous term by -4. More generally, we can write:

g(n) = (-4)^(n-1) * g(1)

Substituting g(1) = -29 and simplifying, we get:

g(n) = (-4)^(n-1) * (-29)

Thus, the explicit formula for g(n) is:

g(n) = -29 * (-4)^(n-1)

Note that this formula gives the same values as the recursive formula for all positive integers n.

(please mark my answer as brainliest)

A researcher tests whether cocaine use increases impulsive behavior in a sample of cocaine-dependent and cocaine-inexperienced mice.
Independent Variable: ________
Quasi-Independent Variable: ________
Dependent Variable: ________

Answers

Answer:

Independent variable: Cocaine Use

Quasi-Independent Variable: Cocaine-dependent and cocaine-inexperienced mice

Dependent variable: Increase in impulsive behavior

Answer:

Independent Variable: Cocaine use

Quasi-Independent Variable: Cocaine-dependent and cocaine-inexperienced mice (this is a quasi-independent variable because the researcher cannot manipulate whether a mouse is cocaine-dependent or not)

Dependent Variable: Impulsive behavior

What is the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x2 - 3x and y = x about the horizontal line y = 6? * 18 (6 - x2 + 3x)2-(6- x)?dx o Tejo (6-x2+3x)2 - (6 - x)?dx OTS (6 - 12 - (6 - x2 + 3xPdx Orla (6 - XP2 – (6-x2 + 3x)

Answers

The integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x₂ - 3x and y = x about the horizontal line y = 6 is  2πx(6 - x² + 3x)dx, which is integrated from x=0 to x=3, which gives us   81π/2.

To find the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y=x² - 3x and y=x about the horizontal line y=6, we can use the method of cylindrical shells.

First, we need to find the limits of integration, The graphs of y = x² - 3x  and y=x intersect at x=0 and x=3. Therefore, we integrate from x=0 to x=3.

Next, we consider a vertical strip of width dx at a distance x from the y- boxes. the height of the strip is the difference between the height of the curve y=  x² - 3x and the line y=6, which is   6 - (x² - 3x) = 6 - x² + 3x. the circumference of the shell is 2π times the distance x from the y-axis, and the thickness of the shell is dx. the volume of the shell is the product of the height, circumference, and thickness which is

dV = 2πx(6 - x² + 3x)dx

To find the total volume, we integrate this expression from x=0 to x=3.

V = ∫₀³ 2πx(6 - x² + 3x)dx, after simplifying the integrand we get :

V = 2π ∫₀³ (6x - x³ + 3x²)dx, integrating term by term we get :

V = 2π [(3x²/2) - (x⁴/4) + (x^3)] from 0 to 3, now  evaluation at the limits of integration we get:

V = 2π [(3(3)²/2) - ((3)⁴/4) + (3)³] - 2π [(0)^2/2 - ((0)⁴/4) + (0)^3]=  2π [(27/2) - (27/4) + 27] - 0 = 81π/2

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The weight of a miniature Tootsie Roll is normally distributed with a mean of 3.30 grams and standard deviation of .13 gram
A. Within what weight range will the middle 95% of all miniature tootsie rolls fall hint use the empirical rule
B. What is the probability that a randomly chosen miniature tootsie roll will weigh more than 3.50 grams(round your answer to 4 decimal places)
Answer all questions please URGENT

Answers

Answer:

a) The middle 95 percent of all miniature Tootsie Rolls will fall between 3.04 grams and 3.56 grams.

b) 6.18% probability that a randomly chosen miniature Tootsie Roll will weigh more than 3.50 grams.

c) 52.29% probability that a randomly chosen miniature Tootsie Roll will weigh between 3.25 and 3.45 grams

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule is also used to solve this question. It states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

[tex]\mu=3.30,\sigma=0.13[/tex]

(a) Within what weight range will the middle 95 percent of all miniature Tootsie Rolls fall?

By the Empirical Rule the weight range of the middle 95% of all miniature Tootsie Rolls fall within two standard deviations of the mean. So

3.30 - 2 x 0.13 = 3.04

3.30 + 2 x 0.13 = 3.56

The middle 95 percent of all miniature Tootsie Rolls will fall between 3.04 grams and 3.56 grams.

(b) What is the probability that a randomly chosen miniature Tootsie Roll will weigh more than 3.50 grams?

This probability is 1 subtracted by the p-value of Z when X = 3.50. So

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{3.50-3.30}{0.13}[/tex]

[tex]Z=1.54[/tex]

[tex]Z=1.54[/tex] has a p-value of 0.9382.

1 - 0.9382 = 0.0618

6.18% probability that a randomly chosen miniature Tootsie Roll will weigh more than 3.50 grams.

c) What is the probability that a randomly chosen miniature Tootsie Roll will weigh between 3.25 and 3.45 grams?

This is the p-value of Z when X = 3.45 subtracted by the p-value of Z when X = 3.25. So

X = 3.45

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{3.45-3.30}{0.13}[/tex]

[tex]Z=1.15[/tex]

[tex]Z=1.15[/tex] has a p-value of 0.8749.

X = 3.25

[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]

[tex]Z=\dfrac{3.25-3.30}{0.13}[/tex]

[tex]Z=-0.38[/tex]

[tex]Z=-0.38[/tex] has a p-value of 0.3520

0.8749 - 0.3520 = 0.5229

52.29% probability that a randomly chosen miniature Tootsie Roll will weigh between 3.25 and 3.45 grams.

x±Z./
x±t./
A highway safety researcher is studying the design of a freeway sign and is interested
in the mean maximum distance at which drivers are able to read the sign. The
maximum distances (in feet) at which a random sample of 9 drivers can read the sign are as follows:
400 600 600 600 650 500 345 500 440
The mean of the sample of 9 distances is 512 feet with a standard deviation of 105
feet.
(a) What assumption must you make before constructing a confidence interval?
•The population distribution is Uniform.
•The population distribution is Normal.
(b) At the 90% confidence level what is the margin of error on your estimate of the true mean maximum distance at which drivers can read the sign.
Answer= feet (round to the nearest whole number)
(c) Construct a 90% confidence interval estimate of the true mean maximum
distance at which drivers can read the sign.
Lower value= feet (round to the nearest whole number)
Upper value= feet (round to the nearest whole number)
(d) There is a 10% chance the error on the estimate is bigger than what value?
Answer= feet (round to the nearest whole number)
(e) The researcher wants to reduce the margin of error to only 15 feet at the 90% confidence level. How many additional drivers need to be sampled? Assume the sample standard deviation is a close estimate of the population standard deviation.
Answer=

Answers

In response to the stated question, we may state that The margin of error function is equal to the highest mistake on the estimate.

what is function?

In mathematics, a function is a connection between two sets of numbers in which each member of the first set (known as the domain) corresponds to a single element in the second set (called the range). In other words, a function takes inputs from one set and produces outputs from another. Inputs are commonly represented by the variable x, whereas outputs are represented by the variable y. A function can be described using an equation or a graph. The equation y = 2x + 1 represents a linear function in which each value of x yields a distinct value of y.v

(a) The population distribution must be assumed to be normal before generating a confidence interval.

(b) The margin of error with 90% confidence is provided by:

Error Margin = Z (/2) * (/n)

Where Z (/2) is the confidence level/2 crucial value, is the population standard deviation (unknown), and n is the sample size.

Error Margin = t (/2, n-1) * (s/n)

Where t (/2, n-1) is the critical value for the degrees of freedom /2 and n-1, and s is the sample standard deviation.

(d) The margin of error is equal to the highest mistake on the estimate.

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g suppose x and y are two random variables. you don't know their distribution, but someone tells you e[x]

Answers

When x and y are independent variables with x having uniform distribution (0,1) and y having exponential distribution respectively, then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3, and e (x2 e24) is -1/3 22etyx u (0,1) > Independent y exp (1) > Independent

The exponential distribution is a continuous probability distribution used in probability theory and statistics that frequently addresses the amount of time until a given event occurs. Events occur continually, independently, and at a steady average pace during this process.

E (x) = 0+1/2 = 1/2

v (x) = [1 – 0]2 / 12 = 1/12

E x2 = v (x) + [Ex]2

      = 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3

E (y) = 1  v(y)=1  

E y2= 1+1= 2

Eety = ∫0etye-ydy  

Eety  =  ∫0e-y (1 – t)dy  

a : E (x+y) = E (x) + E(y)

      E (x+y) = 1/2+1 = 3/2

b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2

c: E (x+y)2 = E (x2 - 2xy+ y2)

 =  1/3 - 2 x 1/2 + 2

  = 1/3 + 1 = 4/3

d. E x2e24

= 1/3 x -1 = - 1/3

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LOOK AT THE PHOTO PLS

Answers

Answer: 0.27272727 or 0.27 (with a dash on top of 27)

Step-by-step explanation:

Mary is 21 years old. She buys 50/100/25 liability insurance, and collision and
comprehensive insurance, each with $500 deductibles. What is her total annual
premium? Round to the nearest dollar. Do not state the units. Be sure to show work.

Liability Insurance
Type Amount Premium
25/50 $240
50/100 $385
100/300 $450

Property damage 25 $210
50 $150
100 $140


Collision and comprehensive premiums

$250 $172 $112
$500 $102 $87
$750 $85 $52

Rating factor
Age

17-20 male Female

3.1 1.64

21-24. 2.53. 1.22


25-29 1.73 1.0

Answers

According to the given information, Mary's total annual premium is $574 (rounded to the nearest dollar).

What is multiplication ?

In mathematics, multiplication is an arithmetic operation that combines two or more numbers to produce a product. It is represented by the symbol "×" or "*", or by placing the numbers next to each other with no symbol between them.

According to the given information:

Mary is 21 years old, so according to the rating factor table, her rating factor is 1.22 for a female.

For liability insurance, Mary has chosen the 50/100/25 coverage, which means $50,000 for bodily injury per person, $100,000 for bodily injury per accident, and $25,000 for property damage per accident. The premium for this coverage is $385.

For collision and comprehensive insurance, Mary has chosen a $500 deductible, so her premiums are $102 for collision and $87 for comprehensive.

To find the total annual premium, we add up the premiums for liability insurance and collision/comprehensive insurance:

Total premium = Liability premium + Collision premium + Comprehensive premium

Total premium = $385 + $102 + $87

Total premium = $574

Therefore, according to the given information, Mary's total annual premium is $574 (rounded to the nearest dollar).

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Which of the following shows the correct evaluation for the exponential expression 1 over 5 to the power of 3 ? (2 points) a 1 over 5 times 3 equals 3 over 5 b 1 over 5 times 1 over 5 times 1 over 5 equals 1 over 125 c 1 over 5 plus 3 equals 3 and 1 over 5 d 1 over 5 divided by 3 equals 1 over 15

Answers

Answer:

b 1 over 5 times 1 over 5 times 1 over 5 equals 1 over 125

a. Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval
b. interpret the confidence interval
c. verify the results by computing a 95% confidence interval with the information provided
d. why is the margin of error for this confidence interval so small?A study asked respondents, "If ever married, how old were you when you first married? The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Variable N Mean StDev SE Mean 99.0% CI AGEWED 26920 21.890 4.787 0.029 (21.815, 21.965) L attention and maintarhaan Hansen

Answers

The point estimate for the population mean age at first marriage is 21.89, the true population mean age at first marriage falls between 21.815 and 21.965 years with a small margin of error due to a large sample size. A 99% confidence interval is (21.836, 21.944).

The point estimate at first marriage is 21.89.

We can interpret the 99% confidence interval as follows: we are 99% confident that the true population mean age at first marriage falls between 21.815 and 21.965 years.

To compute a 95% confidence interval, we can use the formula:

Margin of error = z*(SE)

where z is the z-score corresponding to the desired confidence level (1.96 for 95% confidence), and SE is the standard error of the mean, which is equal to the standard deviation divided by the square root of the sample size.

Thus, for the given data:

Margin of error = 1.96*(4.787/sqrt(26920)) = 0.054

The 95% confidence interval can be computed as:

21.89 ± 0.054

which gives us a range of (21.836, 21.944).

The margin of error for this confidence interval is small because the sample size is very large (n=26920). As the sample size increases, the standard error of the mean decreases, which in turn reduces the margin of error.

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_____The given question is incomplete, the complete qustion is given below:

a. Use the summary to determine the point estimate of the population mean and margin of error for the confidence interval

b. interpret the confidence interval

c. verify the results by computing a 95% confidence interval with the information provided

d. why is the margin of error for this confidence interval so small? A study asked respondents, "If ever married, how old were you when you first married? The results are summarized in the technology excerpt that follows. Complete parts (a) through (d) below. One-Sample T: AGEWED Variable N Mean StDev SE Mean 99.0% CI AGEWED 26920 21.890 4.787 0.029 (21.815, 21.965) L attention and maintarhaan Hansen

g suppose that x and y are i.i.d. bernoulli(p) random variables (i.e., with the same value of p, 0

Answers

The product of expected value of xy is  p^2.

If x and y are i.i.d. Bernoulli(p) random variables, then the probability mass function of each variable is:

P(x=1) = p

P(x=0) = 1-p

P(y=1) = p

P(y=0) = 1-p

To find the expected value of the product xy, we can use the definition of expected value:

E[xy] = Σ Σ xy P(x,y)

where the summation is over all possible values of x and y.

Since x and y can only take on the values of 0 or 1, there are only four possible outcomes:

x=0, y=0

x=0, y=1

x=1, y=0

x=1, y=1

We can calculate the probability of each outcome using the probability mass function:

P(x=0, y=0) = P(x=0)P(y=0) = (1-p)(1-p)

P(x=0, y=1) = P(x=0)P(y=1) = (1-p)p

P(x=1, y=0) = P(x=1)P(y=0) = p(1-p)

P(x=1, y=1) = P(x=1)P(y=1) = p^2

Therefore, we have:

E[xy] = (0)(0)(1-p)(1-p) + (0)(1)(1-p)p + (1)(0)p(1-p) + (1)(1)p^2

E[xy] = 0 + 0 + 0 + p^2

E[xy] = p^2

So the expected value of xy is p^2.

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____The given question is incomplete, the complete question is given below:

g suppose that x and y are i.i.d. bernoulli(p) random variables (i.e., with the same value of p, 0. find the product of expected value of xy.

mr.woodstock has a plot of land 36 meter long and 16 meters wide. he uses the land for mixed farming- rearing animals and growing crop? what length of wire does mr woodstock need to fence his land​

Answers

To calculate the amount of wire needed to fence Mr. Woodstock's land, you will need to use the formula for the perimeter of a rectangular shape. The formula for perimeter is Length + Width x 2.

Plugging in the given dimensions for Length (36 meters) and Width (16 meters) will give us the following calculation:

36 + 16 x 2 = 88 meters

Therefore, Mr. Woodstock will need 88 meters of wire to fence his land.

They did not explain why that was right. What kind of explanation is that?

Answers

Not a good answer / explaination

An explanation without explaining why that was right is called

dogmatic explanation.

What is a dogmatic statement?

An explanation without a reason why it is true is called a dogmatic statement.

We have,

Dogmatic statement:

This is a statement that is presented as true without providing any evidence or logical reasoning to support it.

It is often based on personal beliefs, opinions, or assumptions rather than objective facts or evidence.

Dogmatic statements can be problematic in academic or scientific contexts, where claims must be supported by evidence and logical reasoning.

It is important to be critical and skeptical of dogmatic statements and to seek out evidence and logical reasoning before accepting any claim as true.

Thus,

An explanation without explaining why that was right is called

dogmatic ex[planation.

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