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svlad2 [7]
3 years ago
7

Cody Summer sells tires for tractor trailers. He earns 4.5 percent commission on the first $6,000, 8 percent on the next $6,000,

and 12 percent on sales over $12,000. Last month he sold $18,000 worth of tires. What was his total commission?
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
The Answer is  $1,470.
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ira [324]

a. Suppose you bid $11,500. What is the probability that your bid will be accepted?

b. Suppose you bid $13,500. What is the probability that your bid will be accepted?

Answer:

a. 0.392

b. 0.784

Step-by-step explanation:

Given

a = 9,500 , b = 14,600

The probability density function is given by 1 divided by the interval between a and b.

f(x) = 1/(b - a)

f(x) = 1/(14,600 - 9,500)

f(x) = 1/5100

f(x) = 0.000196

a. Suppose you bid $11,500. What is the probability that your bid will be accepted?

This is given by the integration of f(x) over the interval in the probability

I.e.

P(x < 11,500) = Integral of 0.000196dx, where upper bound = 11,500 and lower bound = 9,500

Integrating 0.000196dx gives

0.000196x introducing the upper and lower bound.

We get

0.000196(11,500 - 9,500)

= 0.392

b. Suppose you bid $13,500. What is the probability that your bid will be accepted?

This is given by the integration of f(x) over the interval in the probability

I.e.

P(x < 13,500) = Integral of 0.000196dx, where upper bound = 13,500 and lower bound = 9,500

Integrating 0.000196dx gives

0.000196x introducing the upper and lower bound.

We get

0.000196(13,500 - 9,500)

= 0.784

8 0
3 years ago
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