Use the Distributive Property to rewrite the expression 5ax + 5ay as an equivalent expression.

An apple-juice container has a tiny hole in it, so it is slowly leaking. If the container leaks three

Elena L [17]

Answer:

101.33333 minutes

Step-by-step explanation:

Given :

Leakage rate = 3 ounces per 19 minutes

Time it'll take for 16 ounces of juice in the container to leak out

The leakage rate on ounce per minute :

3 ounces / 19 minutes = 0.1578947 ounce per min

1f 0.1578947 ounces leak out in 1 minutes

16 ounces will leak out in x minutes

Hence ;

0.1578947x = 16 ounces

x = 16 / 0.1578947

x = 101.33335 minutes

OR :

3 ounces = 19 minutes

1 ounce = (19 / 3) = 6.333333 minutes

16 ounces = (15 + 1) ounce

15 ounces = 3 * 5

Hence, 15 ounces will leak in (19 minutes * 5) = 95 minutes

1 ounce = 6.33333 minutes

Hence,

16 ounces will leak in (95 minutes + 6.33333 ounces) = 101.33333 minutes

HENCE, All 16 ounces will leak out in 101.33333 minutes

8 0

3 years ago

A rectangle has an area of 183.6 square miles and a base of 10.2 miles. What is the height?

aalyn [17]

18 miles

183.6 divided by 10.2 = 18, and to check the answer if we multiply 18 and 10.2 it equals 183.6

3 0

3 years ago

Michael's bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be,including the tip?

Novosadov [1.4K]

$7.87+$46.32=$54.19. If you multiply 46.32 by 0.17, 17%, it is 7.87 so you just add that to the original bill, 46.32

5 0

3 years ago

Listed below are the number of years it took for a random sample of college students to earn bachelor's degrees (based on data f

schepotkina [342]

Answer:

a) Mean = 6.5, sample standard deviation = 3.50

b) Standard error = 0.7826

c) Point estimate = 6.5

d) Confidence interval: (5.1469 ,7.8531)

Step-by-step explanation:

We are given the following data set for students to earn bachelor's degrees.

4, 4, 4, 4, 4, 4, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 6, 6, 8, 9, 9, 13, 13, 15

a) Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{130}{20} = 6.5$

Sum of squares of differences = 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 4 + 4 + 4 + 4 + 4 + 4 + 0.25 + 0.25 + 2.25 + 6.25 + 6.25 + 42.25 + 42.25 + 72.25 = 233.5

$S.D = \sqrt{\frac{233.5}{19}} = 3.50$

b) Standard Error

$= \displaystyle\frac{s}{\sqrt{n}} = \frac{3.50}{\sqrt{20}} = 0.7826$

c) Point estimate for the mean time required for all college is given by the sample mean.

$\bar{x} = 6.5$

d) 90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729$

$6.5 \pm 1.729(\frac{3.50}{\sqrt{20}} ) = 6.5 \pm 1.3531 = (5.1469 ,7.8531)$

e) No, the confidence interval does not contain the value of 4 years. Thus, confidence interval is not a good estimator as most of the value in the sample is of 4 years. Most of the sample does not lie in the given confidence interval.

5 0

4 years ago

Man borrows 26,000 for 3 years with simple interest 1.7 percent determine the amount of money repay after three years

Naya [18.7K]

Answer:

$1,326

Step-by-step explanation:

You are going to want to use the simple interest formula for this.

$I=Prt$