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oksian1 [2.3K]
3 years ago
10

How much is left after 24,815.00 in taxes is deducted from an annual salary of 83,500.00

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

$58,685 would be the amount left over.

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The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s
storchak [24]

The value of z score for the history class test of Opal’s test score is negative one (-1).

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The z score for the normal distributed data can be given as,

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

The mean value of the scores of history class is,

\mu=79

The standard deviation value of the scores of history class is,

\sigma=7

Here, the test score of the Opal’s is 72. Thus the z score for her test score can be given as,

z=\dfrac{72-79}{7}\\z=-1

Hence, the value of z score for the history class test of Opal’s test score is negative one (-1).

Learn more about the normally distributed data here;

brainly.com/question/6587992

6 0
3 years ago
Evaluate f(x) =1/3x for x = 4.
slava [35]

Answer: 1 1/3 or 4/3

Step-by-step explanation: f(4) =1/3(4) = 4/3  = 1 1/3

7 0
3 years ago
Read 2 more answers
What is the area of a regular pentagon with a side of 7.2 and an apothem of 7
timofeeve [1]
The area of a regular polygon<span> is given by the formula which is expressed as:

</span>area = (½)(apothem<span>)(perimeter)
</span>
We calculate as follows:

area = (½)(7<span>)(7.2 x 5)
</span>area = 126 square units

Hope this answers the question.
5 0
4 years ago
Find the median of the data.
kipiarov [429]

Answer:

  • 92.5

Step-by-step explanation:

<u>The data given:</u>

  • 93, 81, 94, 71, 89, 92, 94, 99

<u>Put the data in the ascending order:</u>

  • 71, 81, 89, 92, 93, 94, 94, 99

<u>Since the data size is even, the median is the average of middle two:</u>

  • median = (92 + 93)/2 = 92.5

4 0
2 years ago
) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of
Sloan [31]

9514 1404 393

Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

  d = 9 +4 = 13

  q = 2(9) +5 = 23

The value of the collection is ...

  23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

5 0
3 years ago
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