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Vika [28.1K]
2 years ago
12

A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possib

le answers. If both questions are answered with random guesses, find the probability that both responses are correct.
Mathematics
1 answer:
Julli [10]2 years ago
4 0

Answer:

1/25

Step-by-step explanation:

P of both answers are correct =

P first question is answered correct and P second question is answered correct

in probability,  and = multiplication

P first question is answered correct =1 correct answer/5 possible answers =1/5

P second question is answered correct = 1/5

P of both answers are correct = (1/5) · (1/5) = 1/25

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If Koran and Mai start a bike trip at the same time, how far are they after 24 minutes?
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2 years ago
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Answer:

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3 years ago
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Use pascal's triangle to expand the following binomial expression <br>1.(2k-1/3)⁶​
Gwar [14]

9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

     15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6

  = 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

7 0
2 years ago
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