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irina1246 [14]
3 years ago
14

What value of x is in the solution set of 4x - 12 <16 + 8x?

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Step-by-step explanation:

4x - 12 < 16 + 8x

Bringing like terms on one side

-12 - 16 < 8x - 4x

-28 < 4x

-28/4 < x

-7 < x

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2 years ago
A set of 200 test scores are normally distributed with a mean of 70 and a standard deviation of 5. Approximately how many studen
spin [16.1K]

Answer:  About 191 students scored between a 60 and an 80.

Step-by-step explanation:

Given : A set of 200 test scores are normally distributed with a mean of 70 and a standard deviation of 5.

i.e. \mu=70 and \sigma=5

let x be the random variable that denotes the test scores.

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P(60

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8 0
3 years ago
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m
Jobisdone [24]
<h3>Answer:  15.7 meters</h3>

========================================================

Work Shown:

s = sum of the heights of buildings A,B,C

s/3 = mean of the heights of buildings A,B,C

s/3 = 14.2

s = 3*14.2

s = 42.6

The buildings A,B,C have their heights add up to 42.6

--------------

r = sum of the heights of buildings A,B,C,D,E

r/5 = mean of the heights of buildings A,B,C,D,E

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r = 5*14.8

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--------------

r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)

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(r-s)/2 = mean height of buildings D and E

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(r-s)/2 = 15.7 meters is the average height of buildings D and E.

4 0
2 years ago
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