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: 9 m + 7 n - 6 mn + 4 m
Step-by-step explanation:
m + 3 n + 6 mn - 4 .... for this expression , it is already in its simplified form as we can not add any term together because they are not have the same variables.
9 m + 7 n - 6 mn + 4 ..... this also is already simplified
7 m - 9 n - 6 mn + 4 ..... the same thing with this
9 m + 7 n - 6 mn + 4 m .... this particular can still be further simplified because we have 9m and 4m having the same variable and we can therefore add them together , the simplified form of the expression will be
13m + 7n - 6mn
Answer:
4 crayons
Step-by-step explanation:
The box has 8 crayons, 8 times 1/2 is 4. The other way is dividing. 8/2 is also 4.
She will use 4 crayons.
Answer:
88°
Step-by-step explanation:
Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.
Since angle 2 is corresponding to the 92° angle,
angle 2 = 92°
Now we know that angle 1 and angle 2 are supplementary.
This means:
angle 1 + angle 2 = 180°
<em>(substitute known values)</em>
angle 1 + 92 = 180
<em>(subtract 92 on both sides)</em>
<h2>
angle 1 = 88°</h2><h2>
</h2>
Hope this helps, please say thanks if it does!
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
