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Evgesh-ka [11]
4 years ago
5

15 POINTS! + BRAINLIEST.

Mathematics
1 answer:
bezimeni [28]4 years ago
8 0

Answer:

x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18

Step-by-step explanation:

f(x) = x^2 +2x-6

g(x) =x^4+3

We want to find f*g

(f*g)(x) = (x^2 +2x-6)(x^4+3)

Distribute

          =x^2*x^4 +3x^2 +2x*x^4 +2x*3 +-6x^4 -6*3

         = x^6 +3x^ +2x^5 +2x^3 -6x^4 -18

Combine like terms

         =x^6 + 2 x^5 - 6 x^4 + 3 x^2 + 6 x - 18

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A production process produces 2% defective parts. A sample of nine parts from the production process is selected. What is the pr
Natasha_Volkova [10]

Answer:

a. .0125

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. This 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.

2% defective parts.

This means that p = 0.02

A sample of nine parts from the production process is selected.

This means that n = 9

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2).

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

P(X = 2) = C_{9,2}.(0.02)^{2}.(0.98)^{7} = 0.0125

0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.

8 0
3 years ago
I HAVE FINAL EXAMS AFTER HALF AN BHOUR, PLS SOMONE EXPLAIN THIS, PLSSSS
jarptica [38.1K]

Answer:

see below

Step-by-step explanation:

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3 0
4 years ago
Round 117.22666 to the nearest tenths
zzz [600]

Answer:

117.2

Step-by-step explanation:

Rounding a number to the nearest tenth:

A number rounded to the nearest tenth will have one decimal place.

To do this, we look at the second decimal digit.

If it is less than 5, the first decimal digit is kept.

Otherwise, one is added to the first decimal digit.

In this question:

117.22666

The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.

So, the number rounded to the nearest tenth is 117.2.

6 0
3 years ago
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5 0
3 years ago
Show all work to factor x4 − 17x2 + 16 completely.
Triss [41]

Answer:

Step-by-step explanation:

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