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3 years ago

Find the value of 5x-10 given that - 2x +7=3.

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

Step-by-step explanation:

-2x+7=3

First you want to get the variable alone. To do that you need to subtract 7 from both sides

-2x+7(-7)=3(-7)

-2x=-4

Next you need to divide -2 on both sides to isolate the variable.

-2x/-2=-4/-2

-2/-2 is 0 and -4/-2 is positive 2 because a negative divided by a negative is positive.

x=2

Since x=2 you can plug in 2 into 5x-10 to get the final answer.

5(2)-10

10-10

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3 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

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 problem, we have that:

$\mu = 16.3, \sigma = 4.2$

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

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

$Z = \frac{15 - 16.3}{4.2}$

$Z = -0.31$

$Z = -0.31$ has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0

3 years ago

A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe

frutty [35]

Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
Total 550 450 1,000

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

0.55 x 0.87 = 0.4785

Probability of being male and earning over $50,000: 485/550 = 0.8818

C) No, P(being male | the person earns over $50,000) ≠ P(being male)

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3 years ago

Read 2 more answers

What is 9 times -11 + 17 times 11 in factored form

Rama09 [41]

Answer:

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

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3 years ago

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