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Norma-Jean [14]
2 years ago
9

The salaries of three employees are listed below. Each employee was recently given a raise.

Mathematics
1 answer:
Katena32 [7]2 years ago
6 0
Firstly we need to count how much did the employees earn after the raises:

4% from $41,000 =
= 4/100 * 41,000 =
= 4 * 410 =
= 1644

4,5% from 43,700 =
= 45/1000 * 43,700 =
= 45 * 43,7 =
= 1966,5

3% from 39,700 =
= 3/100 * 39,700 =
= 3 * 397 =
= 1191

Now we need to sum up all the raises:

1644 + 1966,5 + 1191 = 4801,5

So now we can clearly see that answer A ($4,802) is the closest one to the total of all three raises.
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Suppose that the average and standard deviation of the fine for speeding on a particular highway are 111.12 and 13.04, respectiv
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Answer:

3) (98.08, 124.16)

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 111.12

Standard deviation = 13.04

Calculate an interval that is symmetric around the mean such that it contains approximately 68% of fines.

68% of the fines are within 1 standard deviation of the mean speed. So

From 111.12 - 13.04 = 98.08 to 111.12 + 13.04 = 124.16

The interval notation in the smallest value before the highest value.

So the correct answer is:

3) (98.08, 124.16)

8 0
3 years ago
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*115*

do the parentheses in the parentheses first, then the outer parentheses, then the stuff outside the parentheses.


PEMDAS

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3 0
2 years ago
Given f(x) = x2 + 4x − 1 and g(x) = 5x − 7, identify (fg)(x).
8_murik_8 [283]
<span> f(x) = x^2 + 4x − 1 and g(x) = 5x − 7
</span>(fg)(x) =  (x^2 + 4x − 1)(5x − 7)
(fg)(x) = 5x^3 + 20x^2 - 5x - 7x^2 - 28x + 7
(fg)(x) =  5x^3 + 13x^2 - 33x + 7

answer is C. third choice

(fg)(x) =  5x^3 + 13x^2 - 33x + 7

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3 years ago
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Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

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6 0
3 years ago
How many different triangles can you make if you are given the measurements for two angles and the length of a shared side?
Ainat [17]

Answer:

1

Step-by-step explanation:

5 0
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