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3 years ago

Find an equation for the inverse of the following relation. y=12x-3

Mathematics

1 answer:

vovikov84 [41]3 years ago

6 0

<h3>Answer:</h3>

<em>Your answer would be y=x+3/12</em>

<h3>Step-by-step explanation:</h3>

Firstly, you'll switch sides of the equation.

Next, add 3 to both sides.

Simplify it.

Then, divide both sides by 12.

Simplify once more.

12y/12 = x/12 + 3/12 --- y= x+3/12

<u>y=x+3/12 would be your answer.</u>

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3 years ago

Finn changes his mind and, from now on, decides to take the normal route to work everyday. On any given day, the time (in minute

Margaret [11]

Answer:

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

Step-by-step explanation:

This can be solved by the the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

Each z-score value has an equivalent p-value, that represents the percentile that the value X is:

The problem states that:

Mean = 35, so $\mu = 35$

Variance = 81. The standard deviation is the square root of the variance, so $\sigma = \sqrt{81} = 9$ .

Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.

Looking at the z-score table, $z = -0.44$ has a pvalue of 0.333. So what is the value of X when $z = -0.44$ .

$Z = \frac{X - \mu}{\sigma}$

$-0.44 = \frac{X - 35}{9}$

$X - 35 = -3.96$

$X = 31.04$

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

$P = P_{1} + P_{2}$

$P_{1}$ is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of $X = 40.5$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40.5 - 35}{9}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if $P_{1} = 100% - 72.91% = 27.09% = 0.2709$

$P_{2}$ is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of

$X = 38.5$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{38.5 - 35}{9}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if $P_{1} = 100% - 65.17% = 34.83% = 0.3483$

So:

$P = P_{1} + P_{2} = 0.2709 + 0.3483 = 0.6192$

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

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3 years ago

Both passages base their arguments on the unstated

Aleksandr-060686 [28]

The correct answer is option c) human cloning is a genuine possibility in the future.

Both passages base their arguments on the unstated assumption that human cloning is a genuine possibility in the future.

Both chapters describe cloning as if it is a foregone conclusion; as if it will occur in the near future. This is the implicit assumption in both paragraphs.

What is human cloning?

Human cloning is the process of creating a genetically identical replica of a human (or clone).

The phrase is most commonly used to refer to artificial human cloning, or the replication of human cells and tissue. It does not relate to identical twins being conceived and delivered naturally.

The prospect of human cloning has sparked debate. Because of these ethical considerations, numerous countries have passed laws prohibiting human cloning.

Therapeutic cloning and reproductive cloning are the two most widely discussed kinds of human cloning. Therapeutic cloning would include cloning human cells for use in medicine and transplantation.

Learn more about human cloning

brainly.com/question/4736686

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Correct Question

Both passages base their arguments on the unstated assumption that

(A) genetic distinctiveness is crucial to human survival as a species

(B) public concern about human cloning will eventually diminish

(D) individualism is less prized today than it has been in the past

(E) technological advances have had a mostly positive impact on society

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1 year ago