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g100num [7]
3 years ago
9

Judith drove h hours at a rate of 55 mi/h. She did not reach her goal of driving 385 miles for the day. How long did she drive?

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

Judith drove h<7

Step-by-step explanation:

The first thing you would want to do is write your problem out like this 55h<385.Second thing would be to divide by 55 from both sides and that's how you get h<7.

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There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
WHY DOES SOLVING RADICAL EQUATIONS NEED A DIFFERENT PROCESS? HOW DO EXTRANEOUS SOLUTIONS ARISE FROM RADICAL EQUATIONS?
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Solving radical equations are different because you would want to get everything in the equation to rational numbers.
Extraneous solutions arise when you manipulate the equation. After manipulating if a solution is found that can not satisfy the original equation(s).
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What is the value of 3/5+2/7
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Answer:

0.8 is your answer

Step-by-step explanation:

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Simplify the expression<br><br> 3+2x(8-3)<br><br> A.25<br> B.37<br> C.13<br> D.16
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C. 13

3+2x(8-3) 13
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Which describes the range of the parent absolute value function?
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Answer:

yly ls an integer that is the answer

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