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3 years ago

What is x? 3(x - 4) - 14 = 2(x - 7) + 6

2 answers:

8 0

3(x - 4) - 14 = 2(x - 7) + 6
⇒ 3x+ 3(-4) -14= 2x+ 2*7+ 6 (distributive property)
⇒ 3x -12 -14= 2x -14+ 6
⇒ 3x+ (-12 -14)= 2x+ (-14+ 6) (combine like terms)
⇒ 3x -26= 2x -8
⇒ 3x -2x= -8+ 26 (inverse operation)
⇒ x= 18

Final answer: x= 18.

ValentinkaMS [17]3 years ago

4 0

$3(x - 4) - 14 = 2(x - 7) + 6 \\ \\ 3x - 12 - 14 = 2x - 14 + 6 \ / \ expand \\ \\ 3x - 26 = 2x - 14 + 6 \ / \ simplify \\ \\ 3x - 26 = 2x - 8 \ / \ simplify \\ \\ 3x = 2x - 8 + 26 \ / \ add \ 26 \ to \ each \ side \\ \\ 3x = 2x + 18 \ / \ simplify \\ \\ 3x - 2x = 18 \ / \ subtract \ 2x \ from \ each \ side \\ \\ x = 18 \ / \ simplify \\ \\$

The final result is x = 18.

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The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation

Paraphin [41]

Answer:

0.13% of students have scored less than 45 points

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 60, \sigma = 5$

About what percent of students have scored less than 45 points?

This is the pvalue of Z when X = 45. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 60}{5}$

$Z = -3$

$Z = -3$ has a pvalue of 0.0013

0.13% of students have scored less than 45 points

3 0

4 years ago

G(x) = x - 2x^2 g(-1)

Goshia [24]

(-3).
We plug (-1) for x in g(x) and we get:
(-1) - 2(-1)^2.
To simplify, (-1)^2 turns to just 1. since a negative times a negative gives a positive.
Then, we have (-1) - 2(1) or (-1) - 2 or -1 - 2.
This is then -3

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Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gall

stealth61 [152]

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