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2 years ago

Y= -4/3x - 5/2y-intercept:slope:

Mathematics

1 answer:

CaHeK987 [17]2 years ago

3 0

Answer:the answer is Y= -4/3x - 5/2

Step-by-step explanation:

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Which is an equation of a direct proportion? <br> A) y=13x−2<br> B) y=3x<br> C) y=−3x+4<br> D) y=−3x

Nonamiya [84]

Answer:

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Step-by-step explanation:

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3 years ago

In a class of 28 students, the teacher selects four people at random to participate in a geography contest. What is the probabil

mixer [17]

Using the hypergeometric distribution, it is found that there is a 0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.

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

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

The <em>formula </em>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 are 28 students in class, hence $N = 28$ .

Four people will be chosen at random, hence $n = 4$ .

The top three is composed by 3 people, hence $k = 3$ .

The probability that this group of four students includes at least two of the top three geography students in the class is:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which:

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

$P(X = 2) = h(2,28,4,3) = \frac{C_{3,2}C_{25,2}}{C_{28,4}} = 0.0440$

$P(X = 3) = h(3,28,4,3) = \frac{C_{3,3}C_{25,1}}{C_{28,4}} = 0.0012$

Then:

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.0440 + 0.0012 = 0.0452$

0.0452 = 4.52% probability that this group of four students includes at least two of the top three geography students in the class.

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

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2 years ago

Write 5 X 5 X 5 using exponents

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5^3 should be the answer. The answer would be 125.

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3 years ago

A jewelry box is in the shape of a rectangular prism with an area of 528 cubic inches. The length of the box is 12 inches and th

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2 years ago

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2 years ago

Y= -4/3x - 5/2y-intercept:slope:​

Y= -4/3x - 5/2y-intercept:slope: