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Mila [183]
3 years ago
6

A man drove 5 miles directly east from his home, made a left turn at an intersection, and then traveled 11 miles duc north to hi

s place of work. If a road was made directly from his home to his place of work, what would its distance be?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
Answer: About 12.083



Explanation:
In order to solve this you would use Pythagorean theorem.

You are given the length of the two legs (5 and 11)

So by plugging in 5 and 11 into A Squared plus B Squared = C Squared, you get that C^2= 146.

By finding the square root of both sides you get square root of 146, which is approximately 12.803

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Step-by-step explanation:

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5x + 2y = 34<br> x= - 4y - 4
tiny-mole [99]

Answer:

y = -3

Step-by-step explanation:

So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.

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3 years ago
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the
Goshia [24]

Answer:

The passing score is 645.2

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 = 553, \sigma = 72

If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?

This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.

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

1.28 = \frac{X - 553}{72}

X - 553 = 1.28*72

X = 645.2

The passing score is 645.2

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2 years ago
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