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Mila [183]
3 years ago
13

Which rational exponent represents a cube root? A. 3/2 B. 1/2 C. 1/4 D. 1/3

Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer:

1/3

verified on  a p e x

diamong [38]3 years ago
5 0

D. 1/3

A cube root can be written as an exponent: 1/3

\sqrt[3]{x} = x^{\frac{1}{3} }

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0.49 is the answer because that is <span>the approximate probability</span>
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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that \mu = 20, \sigma = 5

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

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

Z = \frac{28 - 20}{5}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0
3 years ago
The figure is made up of a cylinder, a cone, and a half sphere. The radius of the half sphere is 3 inches. What is the volume of
guajiro [1.7K]

Given.

Radius of the Half sphere is 3 inches.

From the figure;

Radius of half sphere= Radius of cylinder= Radius of cone=3inches

Height of cone= 4inches.

Height of cylinder=6inches.

Volume of cone=(πr²h)/3

=(π3²×4)/3

=(12π) inch³

volume of cylinder= πr²h=π3²6=54π inch³

Volume of half sphere= (4/3) π r³=π(4×3³)/3 (1/2)=π×4×9/2=18π inch³

Total area of Composite figure=(12π +54π +18π) inch³

=84π inch³

=(84)× 22/7inch³

=12×22 inch³

=264inch³

Hope it helps...

Regards;

Leukonov/Olegion.

6 0
3 years ago
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