Answer:
Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $127,000
Sample mean, = $126,092
Sample size, n = 160
Alpha, α = 0.10
Sample standard deviation, σ = $8,509
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Now,
Since,
The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.
Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.
Using the future value annuity to solve the question we proceed as follows:
FV of annuity=P{[(1+r)^n-1]/r}
P=periodic Payment
r=rate per period
n=number of periods
from the question:'
P=$3,800
r=8.5%
n=5 years
hence:
A=3800{[(1+0.085)^5-1]/0.085}
A=$22,516.42
A costume designer has 36 bat buttons and 18 black cat buttons she must use to create costumes
To find the largest number of costumes we take GCF
GCF gives the largest and greatest number of grouping
WE find GCF of 36 and 18
1, 2, 3, 6, 9, 18 are the factors of 18
1, 2, 3, 4, 6, 9, 12, 18, 36 are the factors of 36
Greatest common factor GCF is 18
So , 18 is the largest number of costumes she can make.
Answer:
C
Step-by-step explanation:
The answer is: (z - 6)(z + 15)
z² + 9z - 90 = z*z + 15z - 6z - 6*15 =
= (z*z + 15z) - (6z + 6*15) =
= z(z + 15) - 6(z + 15) =
= (z - 6)(z + 15)