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Illusion [34]
3 years ago
11

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

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

Hypergeometric distribution:

The probability of x sucesses 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 sucesses.

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)!}

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that N = 8 + 10 = 18

We want 3 boys, so k = 8

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that n = 8

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

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

P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

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The area and the circumference of the circle are 530.93 square ft and 81.68 ft. If fertilizer will be applied to the lawn. Then the area is used. If the lawn will be surrounded by tape. Then the circumference is used.

<h3>What is a circle?</h3>

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The figure below shows a circular lawn. Its diameter is 26 ft.

Then the area of the circle will be

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Then the circumference of the circle will be

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Circumference = π × 26

Circumference = 81.68 ft

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If the lawn will be surrounded by tape. Then the circumference is used.

More about the circle link is given below.

brainly.com/question/11833983

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ruslelena [56]

Considering the given graph, it is found that the numeric value of the function r(x) at x = -3 is of 2.

<h3>How to find the numeric value of a function given it's graph?</h3>

The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.

In this problem, when the horizontal axis is of x = -3, the vertical axis is of y = 2, hence the numeric value of the function r(x) at x = -3 is of 2.

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Janie bought a shirt at American Eagle and spent a total of $36.04, paying 6% in sales tax. The shirt was marked down 15% and wa
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Answer:

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or

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3 years ago
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Answer:

(-1, -6)

Step-by-step explanation:

f(x -5) is another way to say f(x) - 5

And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)

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Alex_Xolod [135]

Answer:

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