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3 years ago

Which ordered pair is a solution of the equation? 3x-y=13

Mathematics

1 answer:

Papessa [141]3 years ago

5 0

Answer:

$(\frac{13}{3},0)$ and

Step-by-step explanation:

$3x-y=13 \\ \\ -y=-3x+13 \\ \\ y =3x-13$

Any point on this line will do.

For this example, let's find the x and y intercepts by plugging in 0 for x and y.

You'll get $(\frac{13}{3},0)$ and $(0,-13)$ $(0,-13)$

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Suppose that only 25% of all drivers come to a complete stop at an intersection having flashing red lights in all directions whe

Juliette [100K]

Answer:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.25)$

For this case we can use the probability mass function and we got:

$P(X= 5) = (15C5) (0.25)^{5} (1-0.25)^{15-5}= 0.165$

5 0

3 years ago

What is the answer to 2(x-3)-4(x+3)

Lyrx [107]

Step-by-step explanation:

2 (x-3)-4 (x+3)

2x-6-4x-12
-2x-18
-2(x+9)

7 0

3 years ago

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danielle did not complete 15 of her 200 assignments last year. Kim said that is 0.075 of her assignments and Kelly said it is 0.

Alona [7]

Answer:

Kim

is correct

Step-by-step explanation:

Here, we want to know who is correct between Kim and Danielle

From the question, what is not completed is 15 out of 200

To find what is not completed, we divide 15 by 200

Thus, we have;

15/200 = 0.075

This mean Kim is correct

3 0

2 years ago

Part of a W-2 is shown.

sweet-ann [11.9K]

Answer:

$ 4466.83

Step-by-step explanation:

It says "Federal tax withhold" with the amount.

7 0

3 years ago

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I need an answer quick. I am trying to finish this fast.

inessss [21]

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

8 0

3 years ago

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