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.
Answer:
-3
Step-by-step explanation:
first distribute 5 to x and 2 =5x+10 then combine like terms to 5x+4x=9x so on one side u have 9x+10 then on the other side of the equation u have 6x+1 now get the whole numbers on one side of the equation and variables on the other.
9x+10=6x+1
-6x -6x
3x+10=1
-10. -10
<u>3x</u>=<u>-9</u>
3. 3
-3=x
Answer:
Neither of the graphs show a proportional relationship.
Step-by-step explanation:
A proportional relationship is also known as a linear relationship, where when the points are plotted on the graph, the points increase or decrease at a constant rate. This will appear as a straight line with NO change.
Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11