Hurry I need the answer on how u got it and ill give u the brainlest if its correct 1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?

Group of answer choices

There are 3.7 minutes for every 1 shingle put on the roof.

For every 3 minutes, there are 11 shingles put up.

There is 1 minute for every 0.27 of a shingle.

It takes 3.7 minutes to put up 22 shingles.

2..A researcher decides to study study frogs in a local forest. Funding for his project says:

2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.

Which of the following is the correct ratio of forest to office time?

Group of answer choices

4.8

0.2083

12.5

0.08

3.Which of the following is equivalent to the ratio 5?

You don't have to show work for this problem.

Group of answer choices

1:5

5 to 1

1/5

0.2

4.Consider the number: 105,279,083,000

Which digit is in the ten billions place?

You don't have to show work for this problem.

Group of answer choices

7

5

9

0

5.Write the following number in correct scientific notation: 13.8 billion

You don't need to show work for this problem, but it's a good idea.

Group of answer choices

1.38 x 10^-10

1.38 x 10^10

13.8 x 10^9

1.38 x 10^7

Jobs and productivity! how do retail stores rate? one way to answer this question is to examine annual profits per employee. the following data give annual profits per employee (in units of 1 thousand dollars per employee) for companies in retail sales. assume σ ≈ 4.0 thousand dollars. 3.7 6.7 3.6 8.5 7.5 5.9 8.7 6.4 2.6 2.9 8.1 −1.9 11.9 8.2 6.4 4.7 5.5 4.8 3.0 4.3 −6.0 1.5 2.9 4.8 −1.7 9.4 5.5 5.8 4.7 6.2 15.0 4.1 3.7 5.1 4.2 (a) use a calculator or appropriate computer software to find x for the preceding data. (round your answer to two decimal places.) thousand dollars per employee (b) let us say that the preceding data are representative of the entire sector of retail sales companies. find an 80% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit -- thousand dollars upper limit -- thousand dollars (c) let us say that you are the manager of a retail store with a large number of employees. suppose the annual profits are less than 3 thousand dollars per employee. do you think this might be low compared with other retail stores? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are less than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. correct: your answer is correct. (d) suppose the annual profits are more than 6.5 thousand dollars per employee. as store manager, would you feel somewhat better? explain by referring to the confidence interval you computed in part (b). yes. this confidence interval suggests that the profits per employee are greater than those of other retail stores. no. this confidence interval suggests that the profits per employee do not differ from those of other retail stores. (e) find an 95% confidence interval for μ, the average annual profit per employee for retail sales. (round your answers to two decimal places.) lower limit 3.75 incorrect: your answer is incorrect. thousand dollars upper limit 6.41 incorrect: your answer is incorrect. thousand dollars