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3 years ago

Choose the point-slope form of the line passing through (3.5) with a slope of -3.

Mathematics

1 answer:

FrozenT [24]3 years ago

7 0

Answer:

y-5=-3(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-3(x-3)

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suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0

3 years ago

200 feet in 5 minutes

aleksandrvk [35]

Answer:

Step-by-step explanation:

Feet per minute is a unit of Speed or Velocity in both US Customary Units as well as the Imperial System. It measures the number of feet traveled in a minute. The symbol for feet per minute is ft/m.

4 0

3 years ago

The __________ states that as a procedure is repeated again and again and again and again, the probability tends to approach the

dybincka [34]

The Law of large numbers.

<h3>What is the Law of natural numbers?</h3>

The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.

An example of the Law of Large Numbers:

Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.

So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.

It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.

Learn more on the law of large numbers here:

brainly.com/question/13730477

#SPJ4

6 0

2 years ago

Read 2 more answers

Which best describes the transformation that occurs from

Law Incorporation [45]

Answer:

right 2 , up 3.

Step-by-step explanation:

The -2 moves 2 to the right and the + 3 means 3 up.