Answer:
12 units right
17 1/2 units up
Step-by-step explanation:
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
we know that
The formula to calculate the slope m between two points is equal to

Step 
<u>Find the slope of the function f(x)</u>
Let

substitute the values in the formula above


<u>the slope of the function f(x) is
</u>
Step 
<u>Find the slope of the function g(x)</u>
Let

substitute the values in the formula above



the slope of the function g(x) is 
therefore
slope f(x) > slope g(x)
or
slope g(x) < slope f(x)
<u>the answer is the option </u>
B.The slope of g(x) is less than the slope of f(x).
Answer:
<h3>The standard error of the mean is <u>15</u></h3>
Step-by-step explanation:
Given that a simple random sample of 64 observations was taken from a large population.
Hence it can be written as n=64
The population standard deviation is 120.
It can be written as 
The sample mean was determined to be 320.
It can be written as 
<h3>To find the standard error of the mean :</h3>
The formula for the standard error of the mean is given by

Now substitute the values in the formula we get




<h3>∴ The standard error of the mean is 15</h3>
Answer:
D.
Step-by-step explanation:
Hi there! You’re correct.
Twice the difference of nine and a number squared would look like

I hope this helped! :)