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4 years ago

A 125-inch pipe is cut into two pieces. one piece is four times the length of the other. find the lengths of the two pieces.

1 answer:

4 0

Total length of the pipe = 125 inches

Let the shorter piece be x inch.

Thus, the longer piece is 4x.

4x + x = 125

5x = 125

x = 25

Therefore, the lengths of the two pieces are 25 inches and 100 inches.

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stira [4]

Answer:

Step-by-step explanation:

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3 years ago

Find the 6th term in the expansion of (x + 2)9.

Masja [62]

Answer:

$4032x^4$

Step-by-step explanation:

Use the 10th row of Pascal's Triangle to get you where you need to be. You need 10 rows because any polynomial raised to the 9th power has 10 terms. Those 10 terms are, in order:

1, 9, 36, 84, 126, 126, 84, 36, 9, 1

Setting up for the first 6 terms:

$1(x^9)(2^0)+9(x^8)(2^1)+36(x^7)(2^2)+84(x^6)(2^3)+126(x^5)(2^4)+126(x^4)(2^5)+...$

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3 years ago

In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the

andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

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P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

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P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

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3 years ago

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So if its 1-10, and you can either roll a 1 or 2, it would be 2/10, then simplified to 1/5, and in order to get the answer you need to multiply it by 60

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3 years ago

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Scilla [17]

Answer:

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Step-by-step explanation:

A^2 + B^2 = C^2 soo 10^ + B^ = 26^2 so 100 + B^2 = 676 subtract 100 from 676. Then take the square root of 576 and you’ll get 24. So B = 24cm

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3 years ago

A 125​-inch pipe is cut into two pieces. one piece is four times the length of the other. find the lengths of the two pieces.

A 125-inch pipe is cut into two pieces. one piece is four times the length of the other. find the lengths of the two pieces.