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blsea [12.9K]
2 years ago
7

Pls help extra points and mark brainlist

Mathematics
2 answers:
diamong [38]2 years ago
7 0

Answer:

y=2x

Step-by-step explanation:

Hey!

This is a direct variation problem:

Direct variation describes a simple relationship between two variables . We say y varies directly with x.

y=kx, where k is the constant of variation or constant of proportionality.

==================================================================

We can <u>substitute x and y</u> in the given equation.

40=k20

<u>Divide by 20</u> on both sides.

40/20=k

k=2

<u>Substitute k</u> in the Direct variation Equation:

y = 2x

==================================================================

<em>Hope I helped, feel free to ask any questions to clarify :)</em>

<em>Have a great day!</em>

<em>                      -Aadi x</em>

Mashutka [201]2 years ago
5 0

Answer:

B. y = 2x

Step-by-step explanation:

every y value is the value of x multiplied by 2

so that means y=2x

hope this helps luv <3

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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

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.

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)!}

Sampling with replacement:

I consider a success choosing a black ball, so p = \frac{50}{150+50} = \frac{50}{200} = 0.25

We want 2 black balls and 2 white, 2 + 2 = 4, so n = 4, and we want P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so N = 200

Sample of 4, so n = 4

50 are black, so k = 50

We want P(X = 2).

P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

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2 years ago
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Answer:

Step-by-step explanation:

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3 years ago
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Brrunno [24]

a. Answer:  D: (∞, ∞)

                   R: (-∞, ∞)

<u>Step-by-step explanation:</u>

Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).

Theoretical range is the range of the equation given the domain.

c(p) = 25p

There are no restrictions on the p so the theoretical domain is All Real Numbers.

Multiplying 25 by All Real Numbers results in the range being All Real Numbers.

a) D: (∞, ∞)

   R: (-∞, ∞)

*********************************************************************************

b. Answer:  D: (0, 200)

                    R: (0, 5000)

<u>Step-by-step explanation:</u>

Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.

Practical range is the range of the equation given the practical values of the domain.

The problem states that p represents the number of cups.  Since we can't have a negative amount of cups, p ≥ 0.  The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200

The range is 25p →  (25)0 ≤ (25)p ≤ (25)200

                             →      0   ≤  25p  ≤  5000

b) D: (0, 200)

   R: (0, 5000)

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sertanlavr [38]
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3 years ago
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