Use the distributive property to find an expression equivalent to 24 + 64.

Paul, Colin and Brian are waiters.

Reptile [31]

Paul receives 2 portions, which equals to 7.9 * 2 = 15.8

Colin receives 3 portions , this equals to 7.9 * 3 = 23.7

the difference between the 2 portions is 23.7 - 15.8 = 7.9

hence, Colin receives £7.9 over Paul

5 0

3 years ago

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

7 0

2 years ago

the sum of two numbers is 49.Twice the smaller number is 97 less than 3 times the larger number.What are the numbers. help mee I

kondaur [170]

Answer:

smaller number is 10

larger number is 39

Step-by-step explanation:

a = small number

b = larger number

a + b = 49

2a = 3b - 97

substitute 49-a into second equation for b

2a = 3(49-a) - 97

2a = 147 - 3a - 97

5a = 50

a = 10

b = 39

7 0

3 years ago

CAN SOMEONE PLEASE HELL ME WITH THIS PROBLEM? THANK YOU!!!

Verizon [17]

Answer:

71

Step-by-step explanation:

The reference angle is always the smallest angle with the x-axis.

The nearest x axis is at 0 or another name for 0 is 360

360 -289 = 71

The reference angle is 71

8 0

2 years ago

Jacob is mixing salt with

77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, $a \div b = a$ divided in b equal parts.

Also, we can write: $a \div b = a \times \dfrac{1}{b}$

(it is since $a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a$ )

The given table is:

Tablespoons of salt Cups of water

8 2

16 4

24 6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

#SPJ1

4 0

2 years ago