Answer:
The sample size needed is 2401.
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 of the interval is:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.
We have to find n, for which M = 0.02.
There is no estimate of p available, so we use
The sample size needed is 2401.
Answer:
3.8
Step-by-step explanation:
"Let the art prints be p
Cost function is 38 + 2p
Revenue function is 12p
Set cost equal to revenue
12p = 38 + 2p
Subtract 2p from each side
10p = 38"
(7)The area of triangle = 0.5 * height * base // height = 6 ft //base = 10 ft //Area = 0.5 * 6 * 10 = 30 ft²===========================================================================
(16)length of the square = 2 * √7 = 2√7 //
Area of the square = (2√7)² = 28 //
==========================================================================================================
(29) If the length of regular hexagon = a //
Apothem of regular hexagon = a sin 60 //
apothem = 6 //
∴ the length of hexagon = apothem/ sin 60 = (12√3)/3 //
perimeter = 6 * the length of hexagon = 24√3 //
Area = 0.5 * perimeter * apothem = 0.5 * 24√3 * 6 = 72√3 //
=====================================================(39) The length of the arc = radius * inscribed angels in radian // ∴ The length of the arc = 4 * 110 * π/180 = 22π/9 ≈ 7.68 in // =======================================================
(45)The shaded area = half the area of the circle - Area of the triangle // Area of triangle = 0.5 * r² * sin 120 = 0.5 * 6² * sin 120 = 15.588 // Area of the circle = π r² = 3.14 * 6² = 113.04 // The shaded area = 0.5 * 113.04 - 15.588 = 40.96 ≈ 41
Answer:
x=13.6
Step-by-step explanation:
These are vertical angles, so they are equal
8x+16 = 3x+84
Subtract 3x from each side
8x-3x+16 = 3x-3x+84
5x+16 = 84
Subtract 16 from each side
5x+16-16 = 84-16
5x = 68
Divide by 5
5x/5 =68/5
x = 13.6
Answer:
a. f(n)=3(to the power of n)+1
n is the number of days, day one being when the student sent it to 3 others
the plus one is the one student