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Ne4ueva [31]
3 years ago
6

Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x −

500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?
A) x(f(g))

B) x(g(f))

C) g(f(x))

D) f(g(x))
Mathematics
1 answer:
melisa1 [442]3 years ago
7 0

Answer:

C. g\,\circ \, f (x) =g(f(x))

Step-by-step explanation:

Let be f(x) = x-500000 the excedent on annual sales and g(x) = 0.2\cdot x the bonus factor, to determine the bonus amount a composition of f(x) is g(x) must be done. That is:

g\,\circ \, f (x) =g(f(x))

Hence, the right answer is C.

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The perimeter of a rectangular tray is 28 inches. The length of the tray is 2 inches longer the width of the tray. Determine the
sergeinik [125]

Step-by-step explanation:

perimeter=28

length=2x

width=x

28=2(x+2x)

28=2x+4x

28=6x

28/6=6x/6

4.67=x

width=4.67

length=2×4.67

=9.34

4 0
3 years ago
Use Word to documents your comparison of the two years and explain your findings in at least two paragraphs. Including: Explain
pickupchik [31]

In statistics, the standard deviation deviation may be a measure of the quantity of variation or dispersion of a group of values. The margin of error may be a statistic expressing the number of sampling error within the results of a survey. The correlation could be a statistical measure of the strength of the connection between the relative movements of two variables.

Given nothing and that we need to explain standard deviation. margin of error, correlation coefficient .

Standard deviation

In statistics, the standard deviation may be a measure of the number of variation or dispersion of a group of values. an occasional variance indicates that the values tend to be near the mean of the set, while a high variance indicates that the values are detached over a wider range.

Formula: \sqrt{(x-x bar)^{2}/N }

where x bar is mean and N is size of population.

Margin of error

The margin of error may be a statistic expressing the quantity of sampling error within the results of a survey. The larger the margin of error, the less confidence one should have that a poll result would reflect the results of a survey of the complete population.

Formula for M=z*s/\sqrt{n}

here z is z value of Z score , s is variance , n is that the sample size.

Correlation coefficient

In statistics, the Pearson parametric statistic ― also called Pearson's r, the Pearson product-moment parametric statistic, the bivariate correlation, or colloquially simply because the coefficient of correlation ― could be a measure of linear correlation between two sets of information.

Formula=∑(x_{i} -x bar)(y_{i} -y bar)/\sqrt{}∑(x_{i} -x bar)^{2}∑(y_{i}-ybar) ^{2}

Learn more about correlation coefficient at brainly.com/question/4219149

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4 0
2 years ago
A 2-column table with 5 rows. The first column is labeled time (weeks) with entries 1, 2, 3, 4, 5. The second column is labeled
Goshia [24]

Answer:

exponential

constant multiplicative rate of change

Step-by-step explanation:

5 0
3 years ago
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open
svet-max [94.6K]
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is  [(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours where n represents the number of days in the month

apros 501.429
8 0
3 years ago
PLEASE HELP ASAP
Leona [35]

Answer:

5-rl=5

Step-by-step explanation:

rl=5-5= and anawer is=0

7 0
3 years ago
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