Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have


n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :





Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)
Answer:
Let the two supplementary angles be
we know sum of two supplementary angles is 180
2x + 3x = 180
5x = 180
x = 180/5
x = 36
2*36 = 72
3*36 = 108
Therefore the two supplementary angles are 72 and 108
To find a percent, you use this simple formula:
5000/62000 = x/100
In this case, x is going to be your percent of commission.
So, to find this, you first divide 5000 by 62000, which is about equal to 0.08.
Now your equation looks like this:
0.08 = x/100
Next, you multiply both sides by 100 to reverse the operation. Now, your equation will look like this:
8 = x
So, the answer is 8%.
2x-1 < x+3
5x-1 > 6-2x
x-5 < 0
solve the inequality for x.
x < 4
x > 1
X < 5
find the intersection
X ∑ {1,4}
Alternative form: {x I 1 < x < 4}
∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.
Answer:
answer is D) 0, -5
Step-by-step explanation: