Answer:
See below
Step-by-step explanation:
<u>Check One Sample Z-Interval Conditions</u>
Simple Random Sample? √
np≥10? √
n(1-p)≥10? √
<u>One-Sample Z-Interval Information</u>
- Formula -->

- Sample Proportion -->

- Critical Value -->
(for a 85% confidence level) - Sample Size -->

- Margin of Error (MOE) -->

<u>Problem 1</u>
As stated previously, Anas should use the critical value
to construct the 85% confidence interval
<u>Problem 2</u>
Given our formula for the margin of error (MOE), the value is 
<u>Problem 3</u>
The 85% confidence interval would be
, which means that we are 85% confident that the true proportion of people that clicked on the advertisement is between 0.1786 (~45 people) and 0.2534 (~63 people)
<u>Problem 4</u>
Increasing the sample size to
is going to decrease the margin of error because it is a closer representation of the population, but, alas, requires more time, energy, and resources to observe.
Answer:
Answer is D
Step-by-step explanation:
Log8 2 = x
by the definition of logs, we can write
8^x = 2
8^(1/3) = 2
so x = 1/3
or we could solve it by using log to base 10 and use our calculator
log 8^x = log 2
x log 8 = log 2
x = log 2 / log 8 = 0.333.... = 1/3
Answer: The answer is B.
Step-by-step explanation: Multiply $15 times 5 shirts, which equals $75. Now multiply $20 times 4 shoes, which equals $80. Now add the two products, and you get $155.
Answer:
28.4 degrees
Step-by-step explanation:
In the diagram attached
Height of the cliff, AB=54 m
Distance of the raft to the base of the cliff, AC=100m
We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.