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2 years ago

The box plot shows the number of sit-ups done by students in a gym class. What is the

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

The box plot shows the number of sit-ups done by students in a gym class. What is the range of the data?

A)15 is the answer.

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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

All of the following ratios are equivalent except _____. Answers

const2013 [10]

Divide all the ratios and compare:

8/12 = 0.666

15/10 = 1.5

2/3 = 0.666

6/9 = 0.666

The one that isn't equivalent is 15 over 10

3 0

3 years ago

Read 2 more answers

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to

Liula [17]

878/3 is 28 with a remainder of 10! The error is when they subtracted 258-248 wrong

3 0

3 years ago

Read 2 more answers

Juanita runs every third day and swims every fifth day. If Juanita runs and swims today, in how many days will she run and swim

Ber [7]

we know that

The least
common multiple (LCM) of two or more numbers is the least

number, other than zero, that is a multiple of all the numbers.

In this problem, we are looking for the least common multiple of $3$ and $5$

Multiply $3$ by $5$

$LCM=3*5\\ LCM=15$

therefore

On the $15th$ day after today, she will do both on the same day

the answer is

$15 days$

3 0

3 years ago

Read 2 more answers

Will give brainliest.

Dennis_Churaev [7]

Pretty sure it's A. (X times .5 equals Y)

8 0

2 years ago