Answer:
Due to;
<u>Sampling</u> <u>variability</u>
Step-by-step explanation:
From the question, we have;
The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%
The number of adults in the sample of the survey = 1,501 adults
The number of adults that responded that it is more enjoyable to be married than single = 1,126
According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion
The vertex would be at (-2,7)
Answer:
The function given in the question isg(x) = 4x - 5When x = 2, theng(2) = (4 * 2) - 5 = 8 -5 ...
Step-by-step explanation:.
Answer: Surface area is equal to 200
Volume is equal to 333.33
Step-by-step explanation:
First, let's do surface area.
The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base
The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.
The lateral height is given as 5 cm.
The area of the base is 10(10) = 100.
We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200
.
Now for volume.
The volume of a pyramid is equal to 1/3(area of the base)(height).
We already have the area of the base, which is 100.
The height is given as 10 cm.
Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33
.
Hope this helps!