Find the rate of change demonstrated in the graph below.

Answers

Answer 1

Answer:

Rate of change = $(9)/(2) = 4.5$ .

Step-by-step explanation:

Rate of change = $(y_2 - y_1)/(x_2 - x_1)$ .

Use the coordinates of two points on the graph. (Any point can be chosen. We will still arrive at the same rate of change).

Using (2, 9) and (4, 18),

Let,

$(2, 9) = (x_1, y_1)$

$(4, 18) = (x_2, y_2)$

Rate of change = $(18 - 9)/(4 - 2) = (9)/(2) = 4.5$ .

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Which of the following equations represents the graph shown?

Answers

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

b = y-intercept

Cost of Health Care ~ Have you or a member of your immediate family put off medical treatment due to cost during the past year? In 2016, a survey asked 967 randomly selected American adults this question and 184 said yes. In 2019, another survey asked the same question to 1015 randomly selected American adults and 253 said yes. We want to determine if there is a difference between the proportion of Year 2016 American adults and Year 2019 American adults, who put off medical treatment due to cost.

Answers

Answer:

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

Step-by-step explanation:

Hello!

You have two variables of interest:

X₁: Number of that had to put off medical treatment due to cost during 2016.

n₁= 967 people surveyed

x₁= 184 answered "yes"

sample proportion p'₁= 184/967= 0.19

X₂: Number of that had to put off medical treatment due to cost during 2019.

n₂= 1015 people surveyed

x₂= 253 answered "yes"

p'₂= 253/1015= 0.25

The pooled sample proportion is $p'= (x_1+x_2)/(n_1+n_2) = (184+253)/(967+1015)= 0.22$

To study the population proportion you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal, the conditions for a valid approximation are:

Sample size n ≥ 30

n₁= 967

n₂= 1015

n*p'≥10 (each sample contains at least 10 successes)

n₁*p'₁= 967*0.19= 183.73

n₂*p'₂= 1015*0.25= 253.75

n*(1-p')≥10 (each sample contains at least 10 failures)

n₁*(1-p'₁)= 967*0.81= 783.27

n₂*(1-p'₂)= 1015*0.75= 761.25

The correct answers are

1) There must be at least 10 observed successes and 10 observed failures in the sample from population 1.

3) There must be at least 10 observed successes and 10 observed failures in the sample from population 2.

I hope it helps!

Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?

Answers

Answer:

12,280

Step-by-step explanation:

just do 1456×5 :))

2x+y=7 for y neeedd help

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

Solve for y:

2x + y = 7

Add - 2x to both sides

2x + y - 2x = 7 - 2x
y = 7 - 2x

y = -2x + 7

By what factor is z multiplied to get z1?

Answers

Answer:

The correct answer is -2.

Step-by-step explanation:

"z" = 3+2i, which is (3, 2i) on the graph. You must multiply -2 by 3 and 6, which will give you the plot points for z1, (-6, -4i).

A negative number multiplied into a positive number will result in a negative number.

Therefore, -2 is the correct answer.

Answer:

-2

Step-by-step explanation:

just did it

In the diagram below, AB | CD, AD || BC, mZCDE = 45° andmZC = 73º. Find mZADE.
450
B
E
А

Answers

Answer:

The measure of angle ADE is equal to 62 degrees.

Step-by-step explanation:

Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:

2x + 2(73) = 360

2x + 146 = 360

2x = 214

x = 107 = B = D

Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:

ADE = 107 - 45

ADE = 62

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Ella has 164 ounces of lemonade. She fills glasses with8 ounces of lemonade each until all the lemonade is gone.The last glass is not full. How much lemonade is in thelast glass?

Based on the scatterplot of the transformed data and the residual plot, which type of model is appropriate for estimating print publication each year? A linear model is appropriate because the residual plot does not show a clear pattern. A power model is appropriate because the scatterplot of years and the log of circulation is roughly linear. An exponential model is appropriate because the scatterplot of years and the log of circulation is roughly linear and the residual plot shows no distinct pattern. Both an exponential and a power model would be appropriate because the log of circulation was used to develop the model.

What is nearest tenth of 0.273