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densk [106]
2 years ago
11

Find the average of the following salaries: $38,750.00, $42,500.00, $44,500.00

Mathematics
1 answer:
sertanlavr [38]2 years ago
4 0
To find the average you add all three numbers together and then divide by three since you added three.
$38,750.00 + $42,500.00 + $42,500.00 = $123,750.00
$123,750.00 ÷ 3 = $41,250
So your answer is $41,250

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The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use 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 question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

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

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

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

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

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

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
If p=12 and q=24, evaluate the following expression:p+q/4​
Rus_ich [418]

Answer:

18

Step-by-step explanation:

12+24/4

12+6

18

jdndhdjd

7 0
2 years ago
What is the equivalent fraction of _<br> 0.7 ?
adell [148]
7/10 would be equivalent to 0.7


Hope this helped! :)
7 0
2 years ago
Read 2 more answers
Translate this sentence into an equation.
Anit [1.1K]

Answer:

Step-by-step explanation:

40-j=8

8 0
2 years ago
Someone please help! I’ll give brainliest!!
Lana71 [14]

Answer:

(1436.8cm³)  let me know if that helps

Step-by-step explanation:

-so if the diameter is a straight line and it's 15 cm

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-The radius is going to be r=7cm

-v = 4/3 π (7cm)³

-so you would type in 4/3 x 3.14 x 7 ³ =1,436

  - 3.14 or π

- you would round it to the nearest 10th (1436.8cm³)

3 0
2 years ago
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