The paper is 7 cm by (x + 8) cm.
A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.
The area of the border/space around the photo is 50 cm².
To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.
The area of the paper:
A = 7 · (x + 8)
The area of the photo:
A = 5 · (x + 6)
Your equation to find the area of the border around the photo is:
(7 · (x + 8)) - (5 · (x + 6)) = A
[area of paper - area of photo = area of border]
Since you know the area of the border, you can plug it in:
(7 · (x + 8)) - (5 · (x + 6)) = 50
Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)
(7x + 56) - (5x + 30) = 50
Distribute/multiply the - to (5x + 30)
7x + 56 - 5x - 30 = 50
Combine like terms
2x + 26 = 50
Subtract 26 on both sides
2x = 24
Divide 2 on both sides
x = 12
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which 
is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
<h3>The answer is: what</h3>
Step-by-step explanation:
It's simple really, once you start writing a sentence you gradually begin to formulate a thought that needs to be built upon with the end goal being an effective paragraph or piece of information.
If you take "mexico" in this context you will need to include a what, in order to make a who. by "who" you could mean what, but in reality it's likely that mexico can be, in this case a "what"
So, the answer we arrive to is "what"
Answer:
n 1932 DeBakey devised the “roller pump,” an essential component of the heart-lung machine that permitted open-heart surgery. He also developed an efficient method of correcting aortic aneurysms by grafting frozen blood vessels to replace diseased vessels.
Works written: The New Living Heart
Born: September 7, 1908, Lake Charles
Died: July 11, 2008
Step-by-step explanation:
