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Snezhnost [94]
3 years ago
12

​3x-2≤5(x+2) . show all steps please.

Mathematics
2 answers:
Alla [95]3 years ago
5 0

Answer:

Step-by-step explanation:

You have to first use the distributive property of 5(x+2)

That would be 5x+10.

So it would be all together

3x-2\leq 5x+2

to see if it is true

x=2

6-2

6-2\leq 10+2\\4\leq 12

it is true

Natasha_Volkova [10]3 years ago
3 0

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

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3 years ago
How do I work this out?
pentagon [3]
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8 0
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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
emmasim [6.3K]

Answer:

Tera had the higher z-score, so she should be offered the job.

Step-by-step explanation:

Z- score:

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:

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Brittany:

Scored 88.3, mean 63.1, standard deviation 14. So

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

Z = \frac{88.3 - 63.1}{14}

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Alissa:

Scored 236.5, mean 219, standard deviation 25. So

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

Z = \frac{236.5 - 219}{25}

Z = 0.7

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Scored 7.75, mean 6.66, standard deviation 0.5. So

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

Z = \frac{7.75 - 6.66}{0.5}

Z = 2.18

Tera had the higher z-score, so she should be offered the job.

3 0
4 years ago
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