I need help for number 13-16 and I also need an explanation please help

Mathematics

2 answers:

mihalych1998 [28]3 years ago

6 0

In question 13 you must find the volume of the prism in 1/6 in. There are 13 1/6in in 2 1/6in, 7 1/6in in 1 1/6in, and 6 in 1in, so you multiply 13 * 7 * 6 = 546

Find the volume in Q14, 4 2/5 * 3 1/2 * 2 1/4

Convert

$\frac{12}{5}$ * $\frac{7}{2}$ * $\frac{9}{4}$ = 18.9

The answers on the third one are A, C, and F

The answers on the fourth one are B, D, and E

 Hopefully it helps!!

Natalka [10]3 years ago

3 0

For the first three you need to find volume, so the formula for volume is b*w*h. base*width*hight. so multiply all three numbers together and you will find your answer.

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Let n be a positive integer and define [n] to be the set of the first n positive integers. That is, [n] = {1, 2, 3, . . . , n}.

yaroslaw [1]

Answer: There are $2^{n-1}$ ways of doing this

Hi!

To solve this problem we can think in term of binary numbers. Let's start with an example:

n=5, A = {1, 2 ,3}, B = {4,5}

We can think of A as 11100, number 1 meaning "this element is in A" and number 0 meaning "this element is not in A"

And we can think of B as 00011.

Thinking like this, the empty set is 00000, and [n] =11111 (this is the case A=empty set, B=[n])

This representation is a 5 digit binary number. There are $2^5$ of these numbers. Each one of this is a possible selection of A and B. But there are repetitions: 11100 is the same selection as 00011. So we have to divide by two. The total number of ways of selecting A and B is the $2^{5-1} = 2^4$ .