Answer: c. 39.14 to 42.36
Step-by-step explanation:
We want to determine a 95% confidence interval for the average hourly wage (in $) of all information system managers
Number of sample, n = 75
Mean, u = $40.75
Standard deviation, s = $7.00
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
40.75 +/- 1.96 × 7/√75
= 40.75 ± 1.96 × 0.82
= 40.75 + 1.6072
The lower end of the confidence interval is 40.75 - 1.6072 =39.14
The upper end of the confidence interval is 40.75 + 1.6072 =42.36
Answer:
48°
Step-by-step explanation:
Given the trigonometry equation
sin(52)= cos(5x-2)...1
According to the quadrant:
Sin(θ) = cos(90-θ)
Sin52 = cos(90-52)
Sin52 = cos48... 2
Substituting 2 into 1:
Cos48 = cos(5x-2)
48 = 5x-2
5x = 48+2
5x = 50
x = 10°
The smallest of the angle will be angle 5x-2 = 5(10)-2
= 50-2
= 48°
Answer:
A = pi/3 = 1.05°
Step-by-step explanation:
if the cube's side equals 2 then it would be 2 x 2 x 2 = 8 or you could say 2 to the 3rd power or 2 cubed
To solve this problem follow the steps below.
Step 1:List out all of the factors for -36
-36: 1,2,3,4,6,9,12,18,36
-1,-2,-3,-4,-6,-9,-12,-18,-36
Step 2: Start going through a process of guessing and checking (basically take any two factors and add them together to see if they equal 13)
1 plus 12=13
9 plus 4=13
Step 3:Check your calculations and make sure you didn't make any errors
13-12=1 and 13-1=12
13-9=4 and 13-4=9
Answer: 1 and 12
4 and 9
I hope this helps and if any false information was given I apologize in advance.
