Answer: (110.22, 125.78)
Step-by-step explanation:
The confidence interval for the population mean is given by :-
Given : Sample size = 463
Significance level : 
Critical value : 
We assume that the population is normally distributed.
Now, the 90% confidence interval for the population mean will be :-
Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)
Answer:
Rate of Pay is $11 per hour.
Step-by-step explanation:
Cost of 
of work = $ 82.50
To find: Rate of pay
Here Rate of Pay means Cost of 1 hour of work or we can say cost of per hour work.
⇒ Cost of 
of work = $ 82.50
Cost of 1 hr of work = 
= 
= 
= $ 11
Therefore, Rate of Pay is $11 per hour.
The answer should be J.15.
Answer:
Angle y and Angle x are complementary angles
Step-by-step explanation:
we know that
If
sin(y°)=cos(x°)
then
Angle y and Angle x are complementary angles
so
∠y+∠x=90°
∠x=90°-∠y
sin(y°)=cos(90°-y°)
therefore
The sine of an angle is equal to the cosine of its complementary angle
