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Lelu [443]
3 years ago
5

Which is the area of a square with one side that measures 1 foot? A. 1 square inch B. 100 square inches C. 144 square inches D.

none of the above
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Option C. 144 square inches is the correct answer.

Step-by-step explanation:

We have been given a square with one side with a measurement of 1 foot and we have to calculate the area in square inches.

First we know that 1 foot of length = 12 inches on scale

Therefore side of the square is 12 inches

Now the area of the square will be = (Side×Side) = (Side)²

                                                          = (12)² = 144 square inches.

So the area of the square will be 144 square inches.

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The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
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3 years ago
Out of 460 students 60% have pets how many of the students have pets
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A new air scrubber project is being built in a field. 80% of the entire field will be developed. Leaving only 350 acres undevelo
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Answer:

  • field size: 1750 acres
  • developed area: 1400 acres

Step-by-step explanation:

If the developed area is 80% of the field, and the undeveloped area is 20%, then the developed area is 4 times the undeveloped area, so is ...

  developed area = 4 × 350 acres

  developed area = 1400 acres

Then the total area is ...

  total area = developed area + undeveloped area = (1400 +350) acres

  total area = 1750 acres

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