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lawyer [7]
1 year ago
6

A chain weighs 8 pounds per foot. How many ounces will 5 inches weigh? Round your answer to the nearest tenth as needed.

Mathematics
1 answer:
Butoxors [25]1 year ago
7 0

Given that a chain weighs 8 pounds per foot.

We to find the weight in ounces per 5 inches.

It is known that 1 foot is equal to 12 inches and 1 pound is equal to 16 ounces.

Given that the weight is 8 pounds per foot.

\begin{gathered} 8\text{pounds per foot}=8\text{ pounds per 12 inches} \\ =16\times8\text{ ounces per 12 inches} \\ =128\text{ ounces per 12 inches} \\ =10.6\text{ ounces per inch} \\ =10.6\times5\text{ ounces per 5 inches} \\ =53\text{ ounces per 5 inches} \end{gathered}

Thus, the answer is 53 ounces in 5 inches.

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Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads).
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Answer:

The standard deviation for this distribution is 0.8660.

Step-by-step explanation:

For each coin toss, there are only two possible outcomes. Either it is heads, or it is tails. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

In each toss, heads or tails are equally as likely, since the coin is fair. So p = \frac{1}{2} = 0.5

Three throws, so n = 3

What is the standard deviation for this distribution?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3*0.5*0.5} = 0.8660

The standard deviation for this distribution is 0.8660.

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