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MrRa [10]
3 years ago
14

A rectangle has a height of 4x4x4, x and a width of 3x+13x+13, x, plus, 1. Express the area of the entire rectangle.

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

<u>Given</u>:

The rectangle has a height of 4x and the width of 3x+1

We need to determine the area of the entire rectangle.

<u>Area of the rectangle:</u>

Let us determine the area of the rectangle.

The area of the rectangle can be determined using the formula,

A=length \times width

Substituting the value length = 4x and width = 3x+1 in the above formula, we get;

A=4x(3x+1)

Let us remove the parenthesis by multiplying the term 4x within the bracket, we have;

A=12x^2+4x

Thus, the entire area of the rectangle is 12x^2+4x

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Answer:

0.1274

Step-by-step explanation:

Let X be the random variable that measures the number of children who get their own coat.

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The probability that a child gets her or his coat is

P(X=1) = 1/10

To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is

P(X=2) = 8!/10! = 1/(10*9)  and

2P(X=2) = 2/(10*9)

Similarly, we can see that the probability that 3 children get their own coat is

P(X=3) = 7!/10! = 1/(10*9*8) and  

3P(X=3) = 3/(10*9*8*7)

and the expected value of X would be

E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274

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2 years ago
6) A plane is preparing to land. It is at an altitude of
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Answer:

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4800-1400 because 200*7 equals 1400.

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The answer is D, 32pi

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