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jonny [76]
3 years ago
15

Margaret noticed some students in her class like to write with short pencils, while others were using long pencils. She measured

the lengths of each student's pencil and displayed the results in a line plot. If the lengths of the pencils were divided equally among the total number of pencils, what would be the length of each pencil?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0
I’m going to need a bit more information to offer help on this question. I’m sorry
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Suppose that the number of worker-hours required to distribute new telephone books to x% of the households in a certain rural co
Ad libitum [116K]

Answer:

a) Domain = (-\infty,400)\cup (400,\infty)

b) x \in [0,100]

c) 53.03 worker hours

d) 83.33 worker hours

e) 83.33 worker hours

Step-by-step explanation:

We are given the following in the question:

W(x) = \dfrac{250x}{(400-x)}

where W(x) is the number of worker-hours required to distribute new telephone books to x% of the households in a certain rural community.

a) Domain of function.

The domain is the all the possible values of x that the function can take.

Domain = (-\infty,400)\cup (400,\infty)

b) Values of x

Since x is a percentage in reference to context, it can only take value upto 100. Also it cannot take any negative value.

So domain n reference to context will be

x \in [0,100]

c) worker-hours were required to distribute new telephone books to the first 70% of the households

W(70) = \dfrac{250(70)}{(400-70)} = 53.03

53.03 worker hours were required to distribute new telephone books to the first 70% of the households.

d) Worker hour for entire community

For entire community, x = 100

W(100) = \dfrac{250(100)}{(400-100)} = 83.33

83.33 worker hours were required to distribute new telephone books to the entire households.

e) Percentage of the households in the community for 3 worker hours

3 = \dfrac{250x}{(400-x)}\\\\1200-3x = 250x\\253x = 1200\\\\x = \dfrac{1200}{253} = 4.74\%

Thus, 4.74% of the households in the community had received new telephone books by the time 3 worker-hours had been expended.

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3 years ago
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The circumference is asked

circumference

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  • 10π
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2 years ago
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