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alexgriva [62]
2 years ago
11

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia

tion of $4,000. What is the z-score of a company employee who makes an annual salary of $54,000?
–5
–3
4
5
Mathematics
1 answer:
lora16 [44]2 years ago
8 0

z-score of a company is 5.

What is z- test?

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

Now, using z- score

z= (x-\mu)/\sigma

z= 54000- 34000/ 4000

z= 20000/4000

z=5.

Hence, z-score of a company is 5.

Learn more about this concept here:

brainly.com/question/1546834

#SPJ1

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nevsk [136]

6.2:

fraction: .2 = 0.20 = 20/100

fraction: 6 20/100

Word form: six point two

two and five hundredths

fraction: 2 5/100

decimal form 2.05

hope this helps

3 0
3 years ago
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Talja [164]

Answer:

x = - \frac{14}{3}

Step-by-step explanation:

Given

\frac{3}{4} (x + 5 \frac{1}{2} ) = \frac{5}{8}

Multiply both sides by 8 to clear the fractions

6(x + 5 \frac{1}{2} ) = 5 ← distribute parenthesis on left side

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x = \frac{-28}{6} = - \frac{14}{3}

3 0
3 years ago
A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
maw [93]

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

5 0
3 years ago
SOlve the equation <br><br> 0.25 r - 0.125 + 0.5 r = 0.5 +r
seropon [69]
You put all the numbers on one side of the equation and letters on another. 

0.25r + 0.5r - r = 0.5 +0.125 

-0.75r  = 0.625    divide both sides by -0.75

r = -0.125


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3 years ago
Use distribute property and simplify<br> Help me please​
stellarik [79]

Answer:

104

155

180

Step-by-step explanation:

an easy way is to solve what is in the parenthesis then multiply by the outside number

but if you need to use the distributive property:

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(4 x 20) - (4 x -6) = 80 - -24 = 80 + 24 = 104

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5 0
3 years ago
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