Answer: (45.79, 51.21)
Step-by-step explanation:
Given : Significance level :
Sample size : n= 51 , which is a large sample (n>30), so we use z-test.
Critical value:
Sample mean :
Standard deviation :
The confidence interval for population means is given by :-
i.e.
i.e.
Hence, 99% confidence interval for the standard deviation of the number of hours this firm’s employees spend on work-related activities in a typical week = (45.79, 51.21)
For this case, the first thing we must do is define variables.
We have then:
m: original quantity of merchandise sold (in $)
We then have the following idea:
(original amount) (percent) = new amount
The new amount is the amount that Jacqueline earns for 12% of the commission on sales.
We have then:
Clearing m we have:
Answer:
The equation that solves the problem is:
The amount she sold is:
we have
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Divide both sides by
Rewrite as perfect squares
Taking the square roots of both sides (square root property of equality)
Remember that
<u>the answer is</u>
The solutions are