Answer: (30.49 years, 42.31 years)
Step-by-step explanation:
The formula to find the confidence interval is given by :-

, where
= Sample mean
z* = Critical value.
= Population standard deviation.
n= Sample size.
As per given , we have
n= 40
We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)
A 99 percent confidence interval for µ, the true mean age of guests will be :

∴ a 99 percent confidence interval for µ, the true mean age of guests = (30.49 years, 42.31 years)
Answer:
4
Step-by-step explanation:
Always do parentheses first!
-4x+9=-5x
8x-2x=6x
-5x-6x+3=
x+3=4
Answer:
Option A) Inside the circle
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The radius is equal to the distance from the center to any point on the circle
the formula to calculate the distance between two points is equal to

we have
A(-5,-8),M(-1,-3)
substitute the values



step 2
Find the distance from the center to point V
we know that
If the distance from the center to point V is equal to the radius, then the point V lie on the circle
If the distance from the center to point V is less than the radius, then the point V lie inside the circle
If the distance from the center to point V is greater than the radius, then the point V lie outside the circle
we have
A(-5,-8),V(-11,-6)
substitute in the formula



so

The distance from the center to point V is less than the radius
therefore
The point V lie inside the circle
Hope that helped :)
Answer:
D)x = 4∕3y – 4
Step-by-step explanation:




