Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
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 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
First find the length of leg BC by using the Pythagorean theorem BC=132+52=12 ft if we find the midpoint of BC which is 6 ft we find where the angle bisector would touch the BC. From there we construct another triangle ANC where AC is equal to 5 ft and NC is equal to 6 ft where we can again use the Pythagorean theorem to find the length of the hypotenuse which is the angle bisector AN=Angle Bisector=62+52<span>=7.8102 ft.</span>
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Answer:
the original price would be <u>16.605.</u>
Step-by-step explanation:
Answer:
<u>f(x) = 50 + 25(x - 1)</u>
Step-by-step explanation:
Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:
Lifetime membership fee = $ 50
First video game is free
Then any video game purchased after = $ 25.
Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:
<u>f(x) = 50 + 25(x - 1)</u>
- If x = 1, then f(1) = 50 + 0 = 50
- If x = 2, then f(2) = 50 + 25 = 75
- If x = 5, then f(5) = 50 + 100 = 150
