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3 years ago

13

Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes

this relationship?

1 answer:

ikadub [295]3 years ago

7 0

This means that Savannah is paid $7.25 for every hour she babysits, so the constant of proportionality is 7.25.

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3 * n + 2 = ?<br> 2 * n + 7 = ?

natali 33 [55]

Answer:

1.3n+2

2.2n+7

Step-by-step explanation:

for number 1.you are multiplying 3 and n which gives you 3n but 2 you cant because it dosent have a variable to times with it says plus instead of times.

and for number 2 it the same thing 2 times n equals 2n + 7 is 2n + 7 .

If this doesnt help then im sorry but this is how i know and yeah have a wonderful day.

8 0

3 years ago

Suppose it is known that 8 out of the 20 teams in the sample had a season winning percentage better than 0.500.

Ganezh [65]

Answer:

The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

8 out of the 20 teams in the sample had a season winning percentage better than 0.500. This means that $n = 20, \pi = \frac{8}{20} = 0.4$ .

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.6*0.4}{20}} = 0.1853$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.6*0.4}{20}} = 0.6147$

The 95% confidence interval for the true proportion of all teams that had a season winning percentage better than 0.500 is (0.1853, 0.6147).

3 0

4 years ago

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

levacccp [35]

Distance between (2, 5) and (8, 5) = 8 - 2 = 6
Distance between (8, 5) and (8, 3) = 5 - 3 = 2
Distance between (8, 3) and (2, 3) = 8 - 2 = 6
Distance between (2, 3) and (2, 5) = 5 - 3= 2

Total length of border = 6 + 2 + 6 + 2 = 16

5 0

3 years ago

What if x is 4 and y is 5?

Vanyuwa [196]

If you were going to write this as an equation it would be like this. 4*5. Of you are look for the answer the answer is 20. Hope that helped.

5 0

3 years ago

How to solve 2/3x-36>22

Sonja [21]

Answer:

Step-by-step explanation:

2/3x-36 > 22

Multiple each term by 3

3(2/3x-36) > 3(22)

2x - 108 > 66

Collecting like terms

2x > 66 + 108

2x > 174

x > 174/2

x > 87

8 0

3 years ago