Answer:
D). 290 feet
Step-by-step explanation:
Length of the yard = 65 feet
Width of the yard = 80feet
The Perimeter of the yard = 2(l + b)
= 2 * (65 + 80)
= 2 * 145
= 290 feet
∵ Fencing required = 290 feet
Thus, <u>option A</u> is the correct answer.
Lets write the equation
x*1/56= 1/8
Lets do left side
1x/56=1/8
Now we see that in order to remove 56 and only be left with 1x on leftside we have to multipley by 56. If we do so on on side we have to do on the other side. So both sides multiplies by 56
1x/56*56= 1*56/8
From above you see that 1x= 7
x=7
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.
X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.
