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Tomtit [17]
3 years ago
11

PLEASE HELP!!! asap

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

D. (2,-1,1)

Step-by-step explanation:

Use a Desmos calculator and put in each equation. Then add a slider for Z and where all three lines intersect are your coordinates.

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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
If the relative frequencies are 0.48 and 0.52, which
frosja888 [35]

Answer:The Last One

Step-by-step explanation:

3 0
3 years ago
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If Carly has 3 apples and she eats 2 of them how many apples does she have left
Alex_Xolod [135]
Carly will have one apple left, (3-2=1)
3 0
2 years ago
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5. and 6. Show work for full credit please.
Delvig [45]

Answer:

2. YWX

Step-by-step explanation:

<T and <Y are congruent

<W and <W are congruent

<Z and <X are congruent

8 0
3 years ago
Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming
riadik2000 [5.3K]

Answer: 9

Step-by-step explanation:

There are 8 equal sections which are meant to reflect the data Jasmine collected from surveying the students.

This means that each section represents;

= 36/8

= 4.5 students.

There are 2 sections that represent the number of students who said they would be traveling during the holiday break.

= 4.5 * 2

= 9 students

4 0
3 years ago
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