Answer:
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5
The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5
The 95% confidence interval for the population mean is between 61.5 and 68.5.
Answer:
120 + 10x
or
10(12 + x)
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
The sum equals 80 80/2=40
Answer:
The average rate of change of the function over the given interval is -6
Step-by-step explanation:
The function we want to find its average rate of change is;
F(x) = 17 - x^2
Mathematically, the average rate of change of a function F(x) over an interval (a,b) can be calculated as;
{F(b) - F(a)}/(b-a)
According to this question, a = 1 and b = 5
F(a) = F(1) = 17 -(1)^2 = 17 -1 = 16
F(b) = F(5) = 17 - 5^2 = 17-25 = -8
So making the substitution; we have
(-8)-16/(5-1) = -24/4 = -6
<em>You can get the graph of function g by taking the graph of function f and shifting it 7 units to the left, and by shifting it 7 units up.</em>
<h2>
Explanation:</h2>
We have the following functions:
But we can rewrite this functions as:
Or:
Recall that for vertical shifts:
From this, we know that:
- <em>We can get g(x) by </em><em>shifting the graph of f(x) 7 units upward</em>
Recall that for horizontal shifts:
From this, we know that:
- <em>We can get g(x) by </em><em>shifting the graph of f(x) 7 units to the left</em>
<em></em>
<h2>
Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
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