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2 years ago

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A cube had edge length 11 inches. Select all the expressions that could represent it’s volume. Two answers. A cube had edge leng

th 11 inches. Select all the expressions that could represent its surface area?

1 answer:

const2013 [10]2 years ago

6 0

Answer:

6(11 ⋅ 11) and 6(112) I think

Step-by-step explanation:

yea

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A sample of 100 is drawn from a population with a proportion equal to 0.50. Determine the probability of observing between 43 an

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Answer:

The probability of observing between 43 and 64 successes=0.93132

Step-by-step explanation:

We are given that

n=100

p=0.50

We have to find the probability of observing between 43 and 64 successes.

Let X be the random variable which represent the success of population.

It follows binomial distribution .

Therefore,

Mean, $\mu=np=100\times 0.50=50$

Standard deviation , $\sigma=\sqrt{np(1-p)}$

$\sigma=\sqrt{100\times 0.50(1-0.50)]$

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Now,

$P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)$

$P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})$

$=P(-1.5\leq Z\leq 2.9)$

$P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)$

$P(42.5\leq x\leq 64.5)=0.99813-0.06681$

$P(43\leq x\leq 64)=0.93132$

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Answer:

Step-by-step explanation:

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