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Svet_ta [14]
3 years ago
14

What is the answer to X^3-4x^2+7=x+2

Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Answer:

x=+ or -1

4

5

Step-by-step explanation:

i wonna see your steps

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Answer:

A

Step-by-step explanation:

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A chip used in the production of particleboard (Question 4) has a 15% chance of containing excessive bark. What is the probabili
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Answer:

0.2

Step-by-step explanation:

Given that:

P(particleboard with excessive bark) = 0.15

The P(that particleboard do not have excessive bark) = 1 - 0.15

i.e the population proportion number of success p = 0.85

The sample size (n) is given to be = 1000

To find the P(X ≥ 860)

Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.

The population mean \mu = n \times p

\mu = 1000 \times 0.85

\mu =850

The population standard deviation \sigma = \sqrt{n*p(1-p)

\sigma = \sqrt{1000*0.85*(1-0.85)}

\sigma = \sqrt{1000*0.85*(0.15)}

\sigma = \sqrt{127.5}

\sigma = 11.2916

Let X be the random variable which obeys a normal distribution;

Then;

P(X \ge 860) = P(Z\ge \dfrac{x- \mu}{\sigma})

P(X \ge 860) = P(Z\ge \dfrac{860- 850}{11.2916})

P(X \ge 860) = P(Z\ge \dfrac{10}{11.2916})

P(X ≥ 860) = P(Z ≥ 0.8856)

P(X ≥ 860) = 1 - P(Z ≤ 0.8856)

From  z table

P(X ≥ 860) = 1 - 0.8122

P(X ≥ 860) = 0.1878

P(X ≥ 860) \simeq 0.2

Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2

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