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Blizzard [7]
3 years ago
8

Jafar will get $12400 more if his salary is increased by 31%. Jafar's salary is 20% less of his colleague Ali's salary. What is

Ali's salary?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

Ali's salary is $50000.

Step-by-step explanation:

Let Jafar's salary be x.

(31/100)*x = 12400

x = (12400*100)/31

x = 400*100

x = $40000

Let Ali's salary be y.

y-[(20/100)*y] = 40000

y-(y/5) = 40000

(5y-y)/5 = 40000

4y = 200000

y = $50000

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What two numbers multiply to get 7 and add to get -8
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-7 and -1

Step-by-step explanation:

-7x-1=7

-7-1=-6

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The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately 13.713.7degrees°. If skyscrap
Norma-Jean [14]

Answer:

  5956 ft

Step-by-step explanation:

If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.

The definition of the tangent function tells us ...

  tan(A) = BT/AB

Solving for AB, we find ...

  AB = BT/tan(A) = (1452 ft)/tan(13.7°)

  AB ≈ 5956 ft

The skyscrapers are about 5956 feet apart.

7 0
3 years ago
Assuming that the heights of college women are normally distributed with mean 64 inches and standard deviation 1.5 inches, what
professor190 [17]

Answer:

15.74% of women are between 65.5 inches and 68.5 inches.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 64, \sigma = 1.5

What percentage of women are between 65.5 inches and 68.5 inches?

This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.

X = 68.5

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

Z = \frac{68.5 - 64}{1.5}

Z = 3

Z = 3 has a pvalue of 0.9987

X = 65.5

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

Z = \frac{65.5 - 64}{1.5}

Z = 1

Z = 1 has a pvalue of 0.8413

So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.

8 0
3 years ago
-7 minus g is less than or equal to 6
Zanzabum

Answer:

g>_13

Step-by-step explanation

Add 7 to the 6

then divide by -g

5 0
3 years ago
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