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)
9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches
Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3
Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3
Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)
Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8
The equation is y = (1/3)x + 8
Answer:
240 a year which is 720 for 3 years
Answer:
90°
Step-by-step explanation:
X=180°-(45°+45°){being square property}
X=180°-90°
X=90°