Answer:
The lower limit of 95% confidence interval is 99002.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $100,000
Sample mean,
= $111,000
Sample size, n = 36
Alpha, α = 0.05
Population standard deviation, σ = $36,730
First, we design the null and the alternate hypothesis

We have to find the lower limit of the 95% confidence interval.
95% Confidence interval:

Putting the values, we get,


The lower limit of 95% confidence interval is 99002.
A square is categorized as a regular quadrilateral. It consists of four equal angles and sides.
Answer:
Step-by-step explanation:
area of sector = {Ф ( in degrees)/360}πr²
Ф = 60
π=3.14
r=10
area = (60/360) x 3.14 x 10²
= (1/6)x3.14 x100 = (1/6)x314= 314/6 = 52.33
Answer:
Base = 26 in
Step-by-step explanation:
Recall the formula for the area of a triangle as:
Area = (Base x Height) / 2
In our case, this formula converts into:
546 in^2 = Base x 42 in /2
multiply both sides by 2 to get rid of fractions:
1092 in^2 = Base x 42 in
divide both sides by "42 in" to isolate the Base completely
1092 in^2 / 42 in = Base
Therefore Base = 26 in