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4 years ago

6

Walter buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and

$24 was deducted from the value of the pass. How much does each bus ride cost?

1 answer:

Elenna [48]4 years ago

4 0

50cent, 6 divided by 12 is 0.5

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s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

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

In which:

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.

Combinations formula:

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

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

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

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

$P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}$

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The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

According to the statement

We have to find that the comparison of the running time of the parker.

So, For this purpose, we know that the

Perimeter is the distance around the edge of a shape.

From the given information:

Katherine can run the perimeter of Kiker Park in 5.0 minutes and It takes Marin 1.45 minutes longer.

Marin takes 6.45 minutes and the Parker can run the perimeter of the park in 6.50 minutes.

Then from the statement it is clear that the

Time taken by Katherine = 5.0 minutes

Time taken by Parker = 6.50 minutes

Time taken by Marin = 5.0 minutes + 1.45 minutes

Time taken by Marin = 6.45 minutes.

from the timing we can say that the Marin's running time to Parker's running time is compared and the Parker takes 5 seconds more than the Marin.

So, The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

Learn more about Perimeter here

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