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ASHA 777 [7]
2 years ago
13

HELP 4 - x = 3x - 8 + 2x

Mathematics
1 answer:
USPshnik [31]2 years ago
6 0

The answer is x=2 :) ✨

Hope it helps

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An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the
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B. x<27

Step-by-step explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less  than 300, so

165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27

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-1

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-5-15+4+15

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3 years ago
A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
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Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

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Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

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Due to the higher z-score, he did better on the SAT.

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