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ANTONII [103]
3 years ago
10

Beth’s annual salary is $20,000. She also earns a variable percent commission on her sales over $500. The percent commission var

ies on the amount of her sales. If p(x) represents Beth’s percent commission, and f(x) = x − 500, is her amount of sales, which expression represents the commission she earns?
A) p(f(x))
B) f(p(x))
C) p(x) + f(x)
D) p(x) − f(x)
Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Here, we want to select the option that best describes the commission earned;

In the question, we are told that the commission is a certain percentage variable on the amount of her sales;

Thus , mathematically to get the percentage commission, we simply need to have;

p(x) of f(x)

This simply refer to placing f(x) into p(x) which can be rewritten as ;

p o f(x)

The closest answer to this is the first option A

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The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab
Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let \sigma_1^2 represents the variance for 16 OZ bottles and \sigma_2^2 represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be  :-

H_0:\sigma_1^2\geq\sigma_2^2

H_1:\sigma_1^2, since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

z_{\alpha}=z_{0.05}=1.645

6 0
3 years ago
Read 2 more answers
Please do my all question​
Kryger [21]

The factorization of the numbers is obtained as

(a) 36 = 2² x 3²,

(b) 60 = 2² x 3 x 5,

(c) 84 = 2² x 3 x 7,

(d) 99 = 3² x 11 and

(d) 180 = 2² x 3² x 5

<h3>Factor of the numbers</h3>

To factorize the numbers we use their factors as show below;

<h3>Factors of 36</h3>

36 = 2² x 3²

<h3>Factors of 60</h3>

60 = 2² x 3 x 5

<h3>Factors of 84</h3>

84 = 2² x 3 x 7

<h3>Factors of 99</h3>

99 = 3² x 11

<h3>Factors of 180</h3>

180 = 2² x 3² x 5

Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.

Learn more about factorization here: brainly.com/question/25829061

#SPJ1

6 0
1 year ago
Approximate the value of positive square root 5 to the nearest hundredth
Mila [183]

Answer:

2.2

Step-by-step explanation:

8 0
3 years ago
Sasha invests $200 at 5% after 6 months
Umnica [9.8K]
5% of 200 is 10, after six months, so total of $60? not sure though.

8 0
3 years ago
solve each equation. Round your answers to the nearest ten-thousandth. Show your work please. Part 2A​
Reika [66]

Answer:

16. x = 3.0822, -3.0822

17. x = 1.6432, -1.6432

18. x = 1, -1

Step-by-step explanation:

16. log5[(4x²+2)/8] = 1

(4x²+2)/8 = 5¹

4x² + 2 = 40

4x² = 38

x² = 38/4

x² = 19/2

x = +/- sqrt(19/2)

x = 3.0822, -3.0822

17. log7[(2x²-4)(5)] = 1

10x² - 20 = 7¹

10x² = 27

x² = 2.7

x = +/- sqrt(2.7)

x = 1.6432, -1.6432

18. log5[(2x²+8)/2] = 1

x² + 4 = 5¹

x² = 1

x = +/-1

4 0
3 years ago
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