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zmey [24]
3 years ago
13

Amita wants to make a mold for a candle. She wants the shape of the candle to be a rectangular prism with a volume of exactly 28

cubic centimeters. She wants the sides to be in whole centimeters. How many different molds can she make?
Mathematics
1 answer:
forsale [732]3 years ago
4 0
The volume of a rectangular prism is L * W * H.

We are looking for whole numbers that multiply to 28.

There are 10 possible molds.

L,  W,  H
-------------

28, 1, 1

1, 1, 28

14, 2, 1

1, 14, 2

1, 2, 14

7, 4, 1

4, 1, 7

7, 1, 4

7, 2, 2

2, 2, 7



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The total number of shares of stock in a corporation is 950,000. Carlos owns 25,000 shares. What percent of the shares of stock
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Let U1, ..., Un be i.i.d. Unif(0, 1), and X = max(U1, ..., Un). What is the PDF of X? What is EX? Hint: Find the CDF of X first,
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Answer:

E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

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If we select a value x \in (0,1) we want this:

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And we can express this like that:

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E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

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3 years ago
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