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lana66690 [7]
3 years ago
11

John is a computer salesman. He makes 8% commission on all sales. If John’s sales for the week are $24,300, how much did he earn

in commission?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

He made $1 944 in commission

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if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
2 years ago
Find the value of x.
AnnyKZ [126]

Answer: 69

Step-by-step explanation: a triangle adds up to 180 degrees. It is an isosceles triangle (2 sides are the same angle) 180-42=138 then do 138/2=69

5 0
2 years ago
James has read 1/8 of a book eric has read 1/3 of the same book what fraction more of the book has eric read than james
BARSIC [14]

1/3 = 8/24

1/8 = 3/24

use 24 since it's the LCM of 8 and 3

8-3/24 = 5/24

3 0
3 years ago
Answer my math pleaseeeeeeeee
PilotLPTM [1.2K]

Answer:

Are ni =)

Step-by-step explanation:

OK are no the picture

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8 0
3 years ago
Read 2 more answers
Lucas compared the prices of some books. He wrote down the prices of the books rounded to the nearest dollar as shown.6, 6, 7, 7
Anon25 [30]

Answer:

The third plot.

Step-by-step explanation:

Use the process of elimination:

The first 4 numbers are 6,6,7,7

The first plot shows 6,6,6,7,7,7 which is not the answer.

Next , the numbers are 9, 10, 10, 10, 10, 10, 10

THERE ARE 6 Tens, ONLY ANSWER CHOICE C HAS 6 TENS

THAT IS THE ANSWER!!!

<h3><u><em>Please rate this and please give brainliest. Thanks!!! </em></u></h3><h3><u><em>Appreciate it! : ) </em></u></h3><h3><u><em>And always, </em></u></h3><h3><u><em>SIMPLIFY BANANAS          : )      Hope this helps!!! </em></u></h3>

<u><em></em></u>

3 0
3 years ago
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