Answer:
Step-by-step explanation:
I think it is 22
Answer:
a)
, in which z is related to the confidence level.
b) A sample size of 991 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
.
The margin of error is:

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent
This means that 
a. 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 0.03 (round up to the next whole number).
This is n for which
. So





, in which z is related to the confidence level.
Question b:
99% confidence level,
So
, z is the value of Z that has a pvalue of
, so
.



Rounding up
A sample size of 991 is needed.
The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,
3 / √13 = 100 / x
The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,
t = 120 / √13 = 33.33 s
Answer:
D
Step-by-step explanation:
The slope = 4/2 = 2
and one point on the graph ( point B) is (5, 6) so point-slope equation is
y - 6 = 2(x - 5)
20,000, so that his interest rate will be lower and he will overall save $$$