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3 years ago

Please answer the question to the best of your ability.

Mathematics

1 answer:

nydimaria [60]3 years ago

7 0

Answer:

the answer is c.

Step-by-step explanation:

apply the rule of distributive property to check each of the options provided

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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

I got an answer, but I only got one mark help

kaheart [24]

Answer:

The answer 323.4 is pound.

Step-by-step explanation:

First 25% and 8% together which is 33%.Then find out 33% of 980.33/100×980=323.4 pound.

So he saved 323.4 pound.

8 0

3 years ago

Read 2 more answers

Find x 5x-7+8x-55 13 POINTS Show work please

Law Incorporation [45]

Combine like terms. The 5x is grouped to the 8x and the -7 isgrouped with the -55.

This means 5x + 8x = 13x and -7 - 55 = -62

The new expression is 13x - 62. We can't find the exact value of x because the expression wasn't set equal to anything.

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4 years ago

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Is 144 a perfect square or not

Rina8888 [55]

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.

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3 years ago

A box contains 10 genuine pearls and 5 artificial pearls. If you pick 3 pearls at random from the box. What is the probability t

Ivenika [448]

1/5th you take total amount over amount drawn

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3 years ago