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Viefleur [7K]
3 years ago
10

Ashley is making $500 a week at her job . She receives a 20 percent pay raise. A year later she takes a 5 percent cut. How much

does she make per week now
Mathematics
2 answers:
MaRussiya [10]3 years ago
8 0

Answer:

$570

Step-by-step explanation:

500 * 1.2 = $600 after 20% pay raise

600 * .95 = $570 after 5% pay cut

Readme [11.4K]3 years ago
6 0

Answer: she makes $570 per week now.

Step-by-step explanation:

Ashley is making $500 a week at her job . She receives a 20 percent pay raise. The amount of raise that she received is

20/100 × 500 = 0.2 × 500 = 100

Her new pay per week becomes

500 + 100 = $600

A year later she takes a 5 percent cut. This means that her pay was reduced and the amount by which it was reduced is

5/100 × 600 = 0.05 × 600 = 30

The amount that she makes per week now would be

600 - 30 = $570

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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

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 = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

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

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
What are the solutions of the equation x^4 + 95x^2 - 500= 0? Use factoring to solve
Artist 52 [7]
1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

6) find the solutions:

x^2 + 100 = 0 => not possible

x + √5 = 0 => x = - √5

x - √5 = 0 => x = √5


Answer: x = √5 and x = - √5
4 0
3 years ago
What values of the variables highlighted would create an equation infinitely many solutions
Otrada [13]
A = -5
b = 2
I’m pretty sure
3 0
3 years ago
A worker's in a sliver mine descends 57 feet. Use an integer to represent to cahnge the worker's position
LenKa [72]
The change is -57 feet.
3 0
3 years ago
Finding Side Lengths
zheka24 [161]

Answer:

  • x = 2.5
  • y = 5

Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

  • x = 2.5
  • y = 5
6 0
3 years ago
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