A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places.

P(A) = 0.32, P(A and B) = 0.09, find P(B)

P(B) =

Answers

Answer 1

Answer:

.2813

Step-by-step explanation:

If two events are independent that means that

A*B= A and B

so

let p(b)= x

.09=.32*x

x= .28125

Round this to

.2813

Answer 2

Step-by-step explanation:

since p(a) and p(b) are independent events

p(a).p(b)= p(a and b)

0.32×p(b)=0.09

p(b)=0.09÷0.32

p(b)=0.28


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The area of a circle is pi times the radius squared (A = π r²).

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Answer:fafdafadfaf

Step-by-step explanation:

If l=10, b=5, h=2, find the values of 2h(l+b)​

Answers

Answer:

60

Step-by-step explanation:

given:

l = 10

b = 5

h = 2

to find:

2h(l + b)

substitute the given values of l , b and h

=2*2(10 + 5)

=4*15

=60

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2h(l + b)}[/tex]

[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]

[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]

[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]

[tex]\large\textsf{= 4(10 + 5)}[/tex]

[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]

[tex]\large\textsf{4(15)}[/tex]

[tex]\large\textsf{= \boxed{\bf 60}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Common ration of 54 and 72

Answers

Answer:

answer is 18 54 an 72 is 18

find the square root of 20 1/4​

Answers

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

Sara drives 72 miles on 3.2 gallons of gas. She uses this information to calculate how many miles per gallon she can drive. Using this result, how many miles can Sara drive on 12.3 gallons of gas? ​

Answers

Answer:

276.75 miles

Step-by-step explanation:

12.3/3.2 × 72 = 276.75 miles

Find the area of the composite figure.

Answers

Answer:

25m²

Step-by-step explanation:

it might be helpful for you

Find all solutions to the equation.

sin x = square root of three divided by two.

Answers

Answer:

x = 60°

Step-by-step explanation:

Special Angles :

sin = opposite divided by hypotenuse

opposite of angle 60° is square root of three

hypotenuse is two

Answer:

x=60+k.360 or x =120+k.360

Step-by-step explanation:

[tex]sin x = \frac{ \sqrt{3} }{2 \\ ?} [/tex][tex]ref \: angle = 60 \\ x = 120+ k.360 \\ x = 60 + k360[/tex]k€z

Forty-two cities provided information on vacancy rates (in percent) for local apartments in the following frequency distribution.
Vacancy Rate (in percent) Frequency
0 up to 3 10
3 up to 6 9
6 up to 9 8
9 up to 12 7
12 up to 15 8
a. What is the average vacancy rate?
b. What is the variance?
c. What is the Standard Deviation?

Answers

Answer:

[tex](a)\ \bar x = 7.07[/tex]

[tex](b)\ \sigma^2 = 18.67[/tex]

[tex](c)\ \sigma = 4.32[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Rate (\%)} & {f} & {0-3} & {10} & {3-6} & {9} & {6-9} & {8} & {9-12} & {7} & {12-15} & {8} \ \end{array}[/tex]

Solving (a): The average vacancy rate

First, we calculate the class midpoint (x). This is the mean of the class boundaries.

[tex]x = \frac{0+3}{2} = 1.5[/tex]     [tex]x = \frac{3+6}{2} = 4.5[/tex]    [tex]x = \frac{6+9}{2} = 7.5[/tex]

When done for the whole class, the frequency table becomes:

[tex]\begin{array}{ccc}{Rate (\%)} & {f} & {x} & {0-3} & {10} &{1.5}& {3-6} & {9} &{4.5}& {6-9} & {8} & {7.5}&{9-12} & {7} &{10.5}& {12-15} & {8} &{13.5}\ \end{array}[/tex]

The average rate is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{10*1.5 + 9*4.5+8*7.5+7*10.5+8*13.5}{10+9+8+7+8}[/tex]

[tex]\bar x = \frac{297}{42}[/tex]

[tex]\bar x = 7.07[/tex]

Solving (b): The variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum f(x -\bar x)^2}{\sum f}[/tex]

[tex]\sigma^2 = \frac{10(1.5-7.07)^2 + 9(4.5-7.07)^2+8(7.5-7.07)^2+7(10.5-7.07)^2+8(13.5-7.07)^2}{10+9+8+7+8}[/tex]

[tex]\sigma^2 = \frac{784.2858}{42}[/tex]

[tex]\sigma^2 = 18.67[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{18.67[/tex]

[tex]\sigma = 4.32[/tex]

You are making your schedule for next semester. You have 14 choices for your math class, 12 choices for your English
class, 7 choices for your communications class, and 6 choices for your elective. How many different schedules are
possible?
There are
different schedules possible

Answers

asking how many combinations are possible is answered by the following expression:

[tex]14 \times 12 \times 7 \times 6[/tex]

the first step alone offers 14 choices, the second step offers 12 choices. so with these two choices alone there can be 168 different scenarios to choose one from. we just need to keep multiplying for the number of choices we got at each decision to get the number of possible outcomes/configurations

that is

7056

6272 is the answer.

By the fundamental principle of counting, there are

8 * 8 * 7 * 14 = 6272 schedules possible

6272

What is the fundamental principle of counting?

In the above problem, we use the basic principle of counting to get the result. The principle of multiplication is that if event A can occur in different ways of x and another event B can occur in different ways of y, then there is an x ​​× y way in which both events occur at the same time. is showing. If

events occur in different ways in m, followed by other events in different ways in n, the total number of events in the specified order is m × n. The basic principle of multiplication.

counts helps you make your choice based on the available choices. ..

Learn more about  fundamental principle of counting here:https://brainly.com/question/10275154

#SPJ2

The Table below shows the number of hours ten students spent studying for a test and their svores​

Answers

Answer:

Step-by-step explanation:

By using linear regression calculator,

Linear regression equation representing the data set will be,

y = 7.79x + 34.27

Correlation coefficient of the line will be,

R = 0.98

Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.

That means hours spent studying has the strong relation with test scores obtained.

What is the distance between T(9, −5) and the center of the circle with equation (x – 6)2 + (y + 1)2 =10?

Answers

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

During the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month. State whether this increase was linear or exponential. If your food bill was $130 in one month during this period, what was it three months later?

Answers

Answer:

After three months the value of the food bill will be $ 224.64.

Step-by-step explanation:

Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:

A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:

130 x 1.20 ^ 3 = X

130 x 1.728 = X

224.64 = X

Therefore, after three months the value of the food bill will be $ 224.64.

College credits. A college counselor is interested in estimating how many credits a student typically enrolls in each semester. The counselor decides to randomly sample 100 students by using the registrar's database of students. The histogram below shows the distribution of the number of credits taken by these students. Sample statistics for this distribution are also provided. 25 20 8 15 10- Min Q1 Median Mean SD Q3 Max 13 14 13.65 1.91 15 18 5 5 0 00 10 12 14 16 18 Number of credits (a) What is the point estimate for the average number of credits taken per semester by students at this college

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Answer:

[tex]\bar x = 13.65[/tex]

Step-by-step explanation:

Given

See attachment for graph and table

Required

Point estimate of the mean

From the attachment, we have:

[tex]\mu = 13.65[/tex]

So, the point estimate of the mean (i.e. the sample mean) is:

[tex]\bar x =\mu[/tex]

[tex]\bar x = 13.65[/tex]

Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………

Answers

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Find the angle formed between the ladder and the ground

Answers

ii think it’s t’s 55 degree, use cos

PLEASE HURRY!! I WILL MARK BRAINIEST!

The pentagons JKLMN and PQRST are similar.
Find the length x of QR.

Answers

Answer:

x=2.8

Step-by-step explanation:

If JKLMN and PQRST are similar then you can look the to other sides to find the ratio that relates the two. For this specific one you are able to fin 0.4 is the relationship.

NJ is related to TP by a factor of 1.4. -> NJ*1.4=TP -> 4*1.4=5.6

The rest can be said to relate all the other sides together.

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the wind) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt.

Answers

Answer:

x=12 mile/hour(the speed of the boat)

y=6 mile/hour(the speed of the current)

Step-by-step explanation:

According to the Question,

let, x be the speed of the boat in miles per hour and y be the speed of the current in miles per hour.

Given That, A motorboat travels 9 miles downstream (with the current) in 30 minutes. Thus, x+y = 0.3 mile/minute ⇒ 0.3×60 ⇒ 18mile/hour

x+y=18 ---- Equation 1

& The return trip upstream (against the wind) takes 90 minutes. Thus, x-y = 0.1 mile/minute ⇒ 0.1×60 ⇒ 6mile/hour

x-y=6 ---- Equation 2

On Adding both above Equations We get,

2x=24  ⇔ x=12 mile/hour(the speed of the boat)

& x+y=18 put Value of x=12 we get  ⇔ y=6 mile/hour(the speed of the current)

odd number less than 5​

Answers

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

A cylinder with a radius of 3 cm and height h cm. If the volume is 75cm³ what is the value of h?​

Answers

Answer:

h≈2.65cm

r Radius

3

cm

V Volume

75

cm³

Using the formula

V=πr2h

Solving forh

h=V

πr2=75

π·32≈2.65258cm

hope it's help ful

3 points If you have the following experimental running times in seconds for some program, mark the one word hypothesis on the order of growth of the running time that best explains the given experimental evidence​

Answers

Answer:

Logarithmic

linearithmic

linear

Answer:

express the following equation as two statement each using the word varies and proportional i) v(rl=4/3

Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
.

Round your answer to the nearest hundredth.

Answers

Answer:

Answer = 3053.63

Step-by-step explanation:

The formula for finding the volume of a sphere is : V = 4/3 πr³

V = 4/3· π · [tex]9^{3}[/tex]

≈ 3053. 62806

Rounded to the hundreths place is 3053.63.

answer is 3053.6 I think not to sure
the other answer might be better
explanation

Katy spent $2834 on a washing machine and a dryer. The dryer cost $875 less than the washing machine. How much did the dryer cost ?​

Answers

Answer:

the answer is 1959

Step-by-step explanation:

2834-875=1959

express the standard form53630000​

Answers

Answer:

5.363×10^8pls mark me as brainliest

Answer:

5.363×10^8

Step-by-step explanation:


Help please !!! I will mark brainlist!!

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Answer:

x= -0.182 and +4

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have a nice day

Erin has 5 cans of juice and drinks 1/3 of a can daily. in how many days will she empty all the cans she has? I think it's 1/15 I'm not sure though. ​

Answers

The correct answer to your question is 15 days because if she drinks 1/3 of a can a day it will take 3 days to drink one can. Now multiple the 3 days for one can by the 5 cans and you get 15 days to finish all of the cans.

Find the greatest common factor of the
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22x5
34x6

Answers

Answer:

22x5 = 1

34x6 = 2

Step-by-step explanation:

This might be the answer

Answer:

2x^5

Step-by-step explanation:what equals 22 is 2,11

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Khusbu needs 650 gm flour and 30 gm sugar to bake a cake. How much
flour and sugar does he need to bake same size of 6 cakes?​

Answers

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

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Khan Academy
Dependent probability
In a class of 7, there are 4 students who play soccer.
If the teacher chooses 3 students, what is the probability that none of the three of them play soccer?

Answers

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.

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