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Vladimir79 [104]
3 years ago
12

What is the coefficient of the second term of the trinomial? (4a+5)2=16a2+Ba+25 Enter your answer in the box. B =

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

B=40

Step-by-step explanation:

we know that

(a+b)^{2}=a^{2}+2ab+b^{2}

In this problem we have

(4a+5)^{2}=16a^{2}+Ba+25

The second term of the trinomial is equal to

2(4a)(5)=40a

therefore

B=40

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Answer:

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

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Normal probability distribution

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When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 300, p = 0.2

So

\mu = E(X) = np = 300*0.2 = 60

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.2*0.8} = 6.9282

What is the approximate probability of observing 51 or fewer vapers in a random sample of 300?

Using continuity corrections, this is P(X \leq 51 + 0.5) = P(X \leq 51.5), which is the pvalue of Z when X = 51.5 So

Z = \frac{X - \mu}{\sigma}

Z = \frac{51.5 - 60}{6.9282}

Z = -1.23

Z = -1.23 has a pvalue of 0.1093.

10.93% probability of observing 51 or fewer vapers in a random sample of 300

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