1/3b = 4/5
Do the cross multiplication
1(5) = 3b(4)
5=12b
<span>b=5/12</span>
Center is at (h,k) in standard form:
(x-h)2 + (y-k)2 = r2
Center: (-8, -3)
Radius (r): sr49 = 7
12 *12 = 144
Therefore 12^2 = 144
Answer:
A sample size of 79 is needed.
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:

The margin of error is:
95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?
A sample size of n is needed.
n is found when M = 0.09. So






Rounding up to the nearest whole number.
A sample size of 79 is needed.