A university financial aid office polled a random sample of 528 male undergraduate students and 651 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 295 of the male students and 463 of the female students said that they had worked during the previous summer. Give a 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer.A) Find the values of the two sample proportions (round to three decimals)B) Find the critical value that should be used in constructing the confidence interval.C) Find the value of the standard error. Round your answer to three decimal places.D) Construct the 95% confidence interval. Round your answers to three decimal places.

Answer:

36 pi or 113.04

Step-by-step explanation:

The volume of a sphere is given by

V= 4/3 pi r^3

we know the diameter so we need to find the radius

r =d/2

r = 6/2 = 3

V = 4/3 pi (3)^3

V =36 pi

We can approximate pi by 3.14

V is approximately 36 *3.14 or 113.04

Answer:

113.1 (113.0973355...)

Step-by-step explanation:

1. Use the sphere volume formula of π.

2. Divide 6 by 2 in order to get a radius of 3.

3. Substitute 3 in for r.

4. Cube the 3, you'll get 27.

5. Multiply 27 by Pi and 4/3.

6. You get 113.1 as a rough estimate, or 113.0973355... for a more exact number. If you leave it in Pi terms, it's 36π.

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the and are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Final answer:

Event pairs A and B, and B and C are mutually exclusive. Event pairs B and D and C and D are not mutually exclusive.

Explanation:

In order to determine whether two events are mutually exclusive, we need to check if they can both occur at the same time. If the occurrence of one event necessarily means that the other event cannot occur, then the events are mutually exclusive. Let's analyze each pair of events:

a. A and B: These events are mutually exclusive because if all the bolts are torqued correctly (event A), then it is not possible for the #3 bolt to be not torqued correctly (event B) at the same time.

b. B and D: These events are not mutually exclusive because it is possible for the #3 bolt to be not torqued correctly (event B) while the bolts #5 and #8 are torqued correctly (event D).

c. C and D: These events are not mutually exclusive because it is possible for exactly one bolt to not be torqued correctly (event C) while the bolts #5 and #8 are torqued correctly (event D).

d. B and C: These events are mutually exclusive because if exactly one bolt is not torqued correctly (event C), then it is not possible for the #3 bolt to be not torqued correctly (event B) at the same time.

Learn more about Mutually exclusive events here:

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Answer:

360 Employees

Step-by-step explanation:

Number of employees who chose gift card / Number of total employees

= 90 / 150

Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.

90 / 150, x / 600

-> cross multiply

54,000 = 150x

Therefore 360 = x.

another way:

(multiply the total number of employees in both ratios) 600 / 150 = 4

Now we multiply 4 by 90 (number of employees choosing gift card)

4*90 = 360

Final answer:

Based on the proportion of employees who chose a gift card in the provided data (60%), you could expect about 360 out of 600 employees to choose a gift card if the same proportion holds.

Explanation:

The given data details that out of 150 employees, 90 have chosen a gift card as a gift. This means that around 60% of the employees have chosen a gift card (90/150 = 0.6 or 60%). To determine how many out of 600 employees might choose a gift card, given the same proportion, one would need to multiply 600 by 60%.

Step 1: Calculate the proportion of employees that chose a gift card. This is 90 out of 150, or 90/150 = 0.6 (60%).

Step 2: Multiply the total number of employees by the proportion who chose a gift card. This is 600 * 0.6 = 360.

Therefore, you could reasonably expect that about 360 out of 600 employees might choose a gift card as their gift if the same proportion holds.

Learn more about Proportion Calculation here:

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9514 1404 393

Answer:

  560 m

Step-by-step explanation:

Jill's distance is given as 250 m.

John's distance can be computed as ...

  distance = speed × time = (70 m/min)(3 min) = 210 m

Suzy's distance is given as 100 m.

Then the total distance is ...

  250 m + 210 m + 100 m = 560 m

The distance traveled is 560 m in this relay.

Answers:

1) 18x - 6x + 2x = 14x

Combine like terms by subtracting 6 from 18 and adding 2

2) 4b - 7 - 15b + 3 = - 11b - 4

Combine like terms add 4b and - 15b ; add -7 and 3

3) 15(6-g) = 90 - 15g

Distribute the 15 to both terms

4) -24 + 2(y - 9) = 2y - 42

Distribute the 2 to (y-9) and combine like terms