Answer: 99% confidence interval would be (45.74,54.26).
Step-by-step explanation:
Since we have given that
N = 18
Mean = $50
Standard deviation = $7
At 99% confidence level, z = 2.58
So, Interval would be

Hence, 99% confidence interval would be (45.74,54.26).
Answer:
Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.
The reverse is true.
Variance = Budgeted Amount - Actual amount
= 255 - 225
= $30
Percentage = Variance / Budgeted amount
= 30/255
= 11.76%
The variance is <u>FAVORABLE</u> because the actual amount was less than the budgeted amount.
Answer:
51.
Step-by-step explanation:
f(x) = x^2 + 2x + 3 and g(x) = x + 4.
f(g(x)) = (x + 4)^2 + 2(x + 4) + 3
= x^2 + 4x + 4x + 16 + 2x + 8 + 3
= x^2 + 8x + 16 + 2x + 11
= x^2 + 10x + 27.
x = 2.
f(g(2)) = 2^2 + 10 * 2 + 27
= 4 + 20 + 27
= 31 + 20
= 51.
Hope this helps!
My GUESS would be a year and 3/4 so almost two years in it would be 25% covered. Just a guess though.
I know this but I don’t have a paper with me !! Omg