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3 years ago

Simplify Help me please

Mathematics

1 answer:

Reika [66]3 years ago

6 0

Answer:

$\frac{-27b^{6}}{c^{18}}$

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have $-27b^{6}c^{-18}$ . Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18= $\frac{1}{c^{18}}$ , plug it in and you get $\frac{-27b^{6}}{c^{18}}$

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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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3 years ago

Scores for a common standardized college aptitude test are normally distributed with a mean of 493 and a standard deviation of 9

Tomtit [17]

Answer:

34.01% probability that his score is at least 532.1.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

$\mu = 493, \sigma = 95$

If 1 of the men is randomly selected, find the probability that his score is at least 532.1.

This is 1 subtracted by the pvalue of Z when X = 532.1. So

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

$Z = \frac{532.1 - 493}{95}$

$Z = 0.41$

$Z = 0.41$ has a pvalue of 0.6591

1 - 0.6591 = 0.3409

34.01% probability that his score is at least 532.1.

3 0

3 years ago

What is the ratio of the calories Robyn

Elina [12.6K]

Question isn't complete but we make assumptions in order to complete the question and explain

Answer and explanation:

If we are given a table on calories burned by Robyn on weekdays from Monday to Friday and on this table Robyn burnt 500 calories on Monday and burnt 400 calories on Wednesday, then we are required to determine the ratio of calories burnt on Wednesday to calories burnt on Monday:

Calories burnt on Wednesday = 400

Calories burnt on Monday =500

Ratio of calories burnt on Wednesday to calories burnt on Monday =400/500=4/5

Ratio =4:5

5 0

3 years ago

Where might you see the double of 5 in real life

ira [324]

Answer:

Your eyes: 1+1, Legs of a dog: 2+2, Your fingers: 5+5, Etc.

Step-by-step explanation:

4 0

3 years ago

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worty [1.4K]

Answer:

7.2% increase (rounded up to the nearest tenth of a percent)

Step-by-step explanation:

The price of the notebook today is $3.70

The price of the same notebook (original price) yesterday was $3.45

Increase in price = $3.70 - $3.45 = $0.25

Percentage increase = (Increase ÷ original price) × 100

Percentage increase = $\frac{0.25}{3.45}$ × 100 = 7.2% (rounded up to the nearest tenth of a percent)

4 0

3 years ago