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3 years ago

7

How do I find n for this problem ?

1 answer:

Anna007 [38]3 years ago

4 0

Tan(x) = opp/adj

tan(30°) = 9/n

n x √3/3 = 9

3n x √3 = 27

3√3n = 27

√3n = 9

n = 9/√3

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Answer:

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Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

<em>I hope this helps you!</em>

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3 years ago

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Answer:

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Step-by-step explanation:

Part a

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$V = \int {9 * \sqrt{t} } \, dt\\V = {\frac{9*2}{3}*t^(1.5) = \frac{18}{3}*t^(1.5)\\\\V = \frac{18}{3}*105^(1.5)\\\\\\V = 6,455L$

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