Which of these equations is in POINT-SLOPE form?

Each serving of fruit punch that Will makes has 2/3 cup of pineapple juice and 1/2 cup of cranberry juice. How many cups of frui

Sindrei [870]

Answer:

$\frac{56}{3}$ cups

Step-by-step explanation:

There will be $\frac{2}{3}$ *16= $\frac{32}{3}$ cups of pineapple juice in 16 servings of punch

There will be $\frac{1}{2}$ *16= $8$ cups of cranberry juice in 16 servings of punch

In total there will be $\frac{32}{3}$ +8= $\frac{56}{3}$ cups of juice in 16 servings of punch

6 0

3 years ago

15. Express 2/5 as a percentage

blsea [12.9K]

Answer:

$40\%$

Step-by-step explanation:

$\frac{2}{5} \times 100 = 40\%$

7 0

2 years ago

Read 2 more answers

J is 14 less than 22 as an equation<br> with what j=

Olegator [25]

22 - 14 = 8

so i think j = 8

4 0

3 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

$M = z\frac{\sigma}{\sqrt{n}}$

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

She needs to sample 189 trees.

3 0

3 years ago

The weekly salaries (in dollars) for

kompoz [17]

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean = $\frac{679+715+799+844+891+917+938+1002+1027}{9} =868$

When the salary is changed from $1027 to $946,

Mean= $\frac{679+715+799+844+891+917+938+1002+946}{9} =859$

Therefor we can see that Mean has decreased by $9.

8 0

3 years ago