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11111nata11111 [884]
3 years ago
9

Simplify. 5x2 – 8x + 4x2 + 10x

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0

Answer:

2x + 18

Step-by-step explanation:

5(2) - 8x + 4(2) + 10x

10 - 8x + 8 + 10x

18 + 2x

2x + 18

Andru [333]3 years ago
3 0

Answer:

10-8x+8+10x

18+2x

2(9+x)

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Using the binomial distribution, it is found that the probability she will hit at least one balloon with her five darts is:

(1) 41%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

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

In this problem, we have that:

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  • She will throw five darts, hence n = 5.

The probability of hitting at least one is given by:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{5,0}.(0.1)^{0}.(0.9)^{5} = 0.59

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.59 = 0.41

Which means that option 1 is correct.

More can be learned about the binomial distribution at brainly.com/question/24863377

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