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Scilla [17]
3 years ago
10

Find the product. (4t+na) (t - 2na)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

4t^2 - 8tna + nat - 2 n^2 a^2

Step-by-step explanation:

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In right ∆ABC, m B = 90°, m C = 40°, and BC = 10. What are the other two side lengths of the triangle?
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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t
baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that p = 0.05

Fifty calculators are randomly selected from the production line and tested for defects.

This means that n = 50

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0
3 years ago
For a particular pickup truck the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800 for
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Answer:

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$15,800+$18,170= $33,970 total price

That is 115% x $15,800 = $18,170 markup price

Then add the original price to the markup price

That is $15,800 + $18,170 = $33,970

8 0
4 years ago
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