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The rectangular plot has an area that is the product of its length and width. We are given the width as 12 feet, and the area as 240 ft², so we can find the length from ...

... A = L×W

... 240 ft² = L×(12 ft)

... 240 ft²/(12 ft) = L = 20 ft

Opposite sides of the rectangle are the same length, so the cost of fence for a side of a given length will be the sum of the costs of the opposites sides.

The 12 ft side has one segment that is $18 per foot, and one that is $15 per foot. For the 20 ft sides, both are $15 per foot. Then the total cost can be figured from ...

... (12 ft)·($18/ft + $15/ft) + (20 ft)·($15/ft +$15/ft) = 12·$33 +20·$30 = $996

5 0

3 years ago

forty percent of 25 students in the class are boys. write 40% as a reduced fraction. then find the ratio of girls to boys in the

Dafna11 [192]

25/10x4=10 boys

100%-40%=60%

25/10x6= 15

boys:girls
10:15

5 0

4 years ago

Read 2 more answers

"In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-

creativ13 [48]

Answer:

For this case we want to find this probability:

$P(10$

And we can use the z score formula to see how many deviation we are within the mean and we got:

$z = \frac{10-37}{9}=-3$

$z = \frac{64-37}{9}=3$

And for this case we know that within 3 deviation from the mean we have 99.7% of the values and that's the answer for this case.

Step-by-step explanation:

Previous concepts

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the number of phone calls answered.

From the problem we have the mean and the standard deviation for the random variable X. $E(X)=37, Sd(X)=9$

So we can assume $\mu=37 , \sigma=9$

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

Solution to the problem