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3 years ago

7

The ski club at a local school wants to hold a bake sale. They are selling cookies for five dollars a dozen. Their supplies cost

the club sixty dollars. Write an equation that models their fundraising efforts. Use y for their total amount of money they will ultimately earn for their club and the variable x for how many dozens of cookies they will sell during the fundraiser.
a) y=5x+60

b) y=60

c) y=5x

d) y=5x−60

1 answer:

vladimir1956 [14]3 years ago

4 0

Their costs are $60 and the earn $5 per dozen cookies sold, so their profit, or what this question says they earn is:

y=5x-60

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

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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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pashok25 [27]

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<h3>Further explanation</h3>

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<em>Let us tackle the problem!</em>

$\texttt{ }$

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<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

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3 years ago

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3 years ago