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brilliants [131]
3 years ago
13

What is the solution for this inequality? 8x ≤ -32

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

x≤-4

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. <u><em>Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.</em></u>

8x≤-32

1. Divide both sides by 8

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Which number has the the greatest absolute value?<br> -20<br> -10<br> 0<br> 10
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The answer to the question is-20

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A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than
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Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are 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 question, we have that:

\mu = 7.45, \sigma = 1.52

Probability that a customer takes more than 10 minutes:

This is 1 subtracted by the pvalue of Z when X = 10. So

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

Z = \frac{10 - 7.45}{1.52}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535

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4.65% probability that a randomly selected customer takes more than 10 minutes

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Answer: Last option

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Step-by-step explanation:

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If we want to know how many miles Mr. Roberts drove on Tuesday then we should divide 42÷2 to find half of 42.

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Then we know that in addition to the 21 miles he drove 5 more miles. Then we add 21 +5 = 26 miles.

So the expression that gives us the number of miles that Mr. Roberts drove on Tuesday is:

(42÷2) +5

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