Answer:
B. x = 15, m∠Q = 75°
Step-by-step explanation:
Given:
m∠P = 105°
m∠Q =
Angles P and Q are supplementary angles
To find value of and m∠Q.
Solution:
[Sum of supplementary angles =180°]
[Substitution ∵ m∠P = 105° and m∠Q =
]
Subtracting both sides by 105°.
Dividing both sides by 5.
∴
∴
Answer:
A sample size of at least 87 will be needed.
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.
In this problem, we have that:
So
A sample size of at least 87 will be needed.
