Answer:
The graph of y = 1/2f(x) is the graph y = x and y = -x for -4 ≤ y ≤ 0
Step-by-step explanation:
Here we note that when y = 0, x = 0
when y = -4, x = -2
The equation is therefore of the form y = m·x + c
m = slope
c = y intercept = 0
Hence the first line is y = 2·x
The second line on the right is the mirror of the first on the left with slope;
Hence the second line on the right is y = -2·x
Hence for y = 1/2 f(x) we have;
y = 1/2 × 2·x = x and y = 1/2 ×-2·x = -x
Graphing the functions, we have
Answer:
35 people
Step-by-step explanation:
The function we have is:
This is a linear function.
We can find the slope (the rate of change) of this function, by comparing it to the general slope-intercept equation:
Where m is the slope (rate of change) and b is the y-intercept of the line.
By comparison, we see that m an b are:
Since we are asked for the value of the rate of change, the answer is the value of m:
which is option A.
Answer:
A. 34.95
The 90% confidence interval for the true difference between the population proportions is [ - 0.0908, - 0.0092]
Given,
= 731
= 644
= 0.33
= 0.28
z score for 90% confidence interval = 1.645
Here, the confidence interval formula :
( 
) ± z 
Substituting the values, we get
(0.33 - 0.28) ± 1.645 
= 0.05 ± 1.645 
= 0.05 ± 1.645 
= 0.05 ± 1.645 × 0.0248093914
= 0. 05 ± 0.0408114489
Confidence interval:
- 0.05 - 0.0408114489 = - 0.0908114489 ≈ - 0.0908
- 0.05 + 0.0408114489 = - 0.0091885511 ≈ - 0.0092
The confidence interval for the true difference between the population proportions is [ - 0.0908, - 0.0092]
Learn more about confidence interval here:brainly.com/question/17421912
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