34, 48, 52, 61, 76, 76, 61, 84, 61, 39, 83, 61, 79, 81, 56, and 88 the mean
1 answer:
The mean of the set of data is <u>65</u>.
<em><u>Given the following </u></em><em><u>data set:</u></em><em><u> </u></em>
34, 48, 52, 61, 76, 76, 61, 84, 61, 39, 83, 61, 79, 81, 56, and 88
<em><u>Recall</u></em>:
- The mean of any set of data is the average of all the data values in the given data set.
- It is calculated by summing all the data values in the data set divided by the number of data values in the data set
<em>Let's solve for the </em><em>mean</em>:
- Mean = sum of all data set / number of data set
<em>Thus</em>:
- sum of all data set =
- Number of data set = 16
Therefore, the mean of the data set given is 65.
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The complete question in the attached figure
we have that
f(x) = x²<span> + 1
g(x) = x – 4
step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17
step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37
the answer is 37
we have that
f(x) = x²<span> + 1
g(x) = x – 4
step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17
step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37
the answer is 37
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
we have
substitute
This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour