Answer:
The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
Thank me here.... a irregular hexagon lol just need some points for helping
Using the probability (conditional) formula, where P is equals to the number of favorable outcomes over the total number of outcomes. Calculating using five and the thirty percent, 1.5 is the answer. But that cannot be the answer.
So we look for the probability using this formula derived from the original, (total outcomes) x (percentage) = (favorable outcomes), 5x=2. That gives us the answer of 0.4 or 40%.
To find the answer, we can use the Pythagoras theorem, where:

Where a and b is the side length and c is the diagonal.
In this case:

Therefore, the answer is 79.2cm
Hope it helps!
Answer:
24
Step-by-step explanation:
Let t represent the volume of the tank in gallons. Then we have ...
(1/8)t + 15 = (3/4)t . . . . . . . . . . . adding 15 gallons fills the tank to 3/4
15 = (6/8 -1/8)t = (5/8)t . . . . . . . subtract 1/8t
15(8/5) = (8/5)(5/8)t . . . . . . . . . multiply by 8/5 (the inverse of 5/8)
24 = t
The tank holds 24 gallons.