The school cafeteria sells 300 half-pints Of milk everyday. How many gallons of milk is that?

The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is

Hatshy [7]

Answer:

A. Normal

B. 30.1, 32.9

C. 95, 5

Step-by-step explanation:

A. The sampling distribution follows a normal distribution

Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem

B. The 95% confidence interval is given as follows;

$CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}$

The number of residents in the study, n = 120 residents

The sample mean, $\overline x$ = 31.5 pounds

The standard deviation, s = 7.8 pounds

The z-value for 95% confidence level, z = 1.96

Therefore, we get;

C.I. = 31.5 ± 1.96 × 7.8/√(120)

The 95% C.I. ≈ 30.1 ≤ $\overline x$ ≤ 32.9

Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9

C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.

8 0

3 years ago

Ms. Wendie puts 4 chocolate candies in a bag to give each of her students on the first day of class. She puts a total of 76 choc

Alchen [17]

This scenario is all about creating equal groups of 4 candies. Because we know the total number of candies that were used, the 4 is a part and we are missing the other part(groups). We can think of it as how many groups of 4 will result in 76. This is shown in Choice A.

8 0

3 years ago

Please help me!!!!!!!!!!!!!!!!!!!!

Neko [114]

The formula is SA = bh + (s1 + s2 + s3)H

The answer is 420m^2

I hope this helps! :)

~Ayden

4 0

3 years ago

How to solve -2y-4=4(y-1)

tangare [24]

-2y-4=4(y-1)

Always remove the pararentheses as your first step.

-2y-4 = 4y - 4

Combine like terms.

-2y - 4y = 4 - 4

-6y = 0

Divide both sides by -6 to find y.

-6y/-6 = 0/-6

y = 0

Done

6 0

3 years ago

Read 2 more answers

PLEASE HURRY AND ANSWER CORRECT ANSWER GETS 99 POINTS AND MARKED AS BRAINLIEST

Alexandra [31]

Answer:

The rate of change is 2

What is the Rate of Change?

A rate of change defines how one quantity changes in relation to another quantity. The rate of change can be either positive or negative. Since the slope of a line is the ratio of vertical and horizontal change between two points on the plane or a line, then the slope equals the ratio of the rise and the run.

Where, rise is the vertical change between two points and run is the horizontal change between two points.

Standard Formula

The standard form for the rate of change of slope, m is given by

Rate of change = Rise/ Run

= Δy / Δx

Therefore, the rate of change of slope =(y2 – y1) / (x2 – x1)

Where

Δ represents the rate of change

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

What is meant by slope?

The slope represents the gradient of the line. It is denoted by the symbol “m”. It defines the rate of change.

Can a slope be negative?

A slope can be either positive or negative. If a line has a positive slope (i.e., m > 0), then y always increases when x increases and y always decreases when x decreases. Also, if a line has a negative slope (i.e., m<0), then y always increases when x decreases and y always decreases when x increases.

What is the formula for the slope?

The formula to find the slope is

m = (y2 – y1) / (x2 – x1)

Where

(x1, x2) is the X coordinates

(y1, y2) is the Y coordinates

4 0

3 years ago