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anygoal [31]
3 years ago
15

Find the volume of the composite figure

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

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ANSWER: x = 130°

EXPLANATION: You must add given angles and then subtract from 180°.
8 0
3 years ago
JK Rowling is autographing some of the new Harry Potter books.A store sells 56 books and she is able to autograph 5/8 of the boo
Andru [333]
56/8 = 7
7x5 = 35 books
7 0
3 years ago
Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w
MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

42% of Americans voted in the previous national election.

This means that p = 0.42

Three Americans are randomly selected

This means that n = 3

What is the probability that none of them voted in the last election

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951

19.51% probability that none of them voted in the last election

6 0
3 years ago
What fraction of 3 is 2 2/5
Yuki888 [10]

Answer: 2 2/5 is 4/5 of 3

Step-by-step explanation:

We can view that as what do we multiply 3 by to get 2 2/5 and call that value x

3x = 2 2/5

x = (2 2/5)/3

Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5

So we have

x = (12/5)/3 = (12/5)(1/3) = 4/5

Thus 2 2/5 is 4/5 of 3

Verify:  3(4/5) = 12/5 = 2 2/5

5 0
2 years ago
Which of the following could be an example of a function with a domain (-infinity, infinity) and a range (2,infinity) ? Check al
frosja888 [35]

Answer:

1234

Step-by-step explanation:

8 0
2 years ago
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