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slamgirl [31]
3 years ago
5

Which of the following best defines 4 to the power of 2 over 3?. . A. Square root of 16. . B. Cube root of 4. . C. Square root o

f 4. . D. Cube root of 16.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
x^{m/n}  =  \sqrt[n]{ x^{m} }
4 ^{2/3} =  \sqrt[3]{4 ^{2} }  =  \sqrt[3]{16}
Answer: D ) Cube root of 16
Thank you.
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Marqualyn needs help...
Fynjy0 [20]

Answer:

20mins

Step-by-step explanation:

3/4 * 60 = 45 mins

1/4 * 60 = 15mins

15mins + 10mins = 25 mins

45 - 25 = 20mins

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The two cities Midway and Union are 40 km from each other. How far apart would the cities be on a map that has a
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4cm

Step-by-step explanation:

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Answer:

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3 0
3 years ago
Read 2 more answers
The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.
Ber [7]

Answer:

Part 1) The volume of the object is 32\pi\ cm^{3}  or 100.48\ cm^{3}

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1)  What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=3\ cm

substitute the values

V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=(10-3)=7\ cm

substitute the values

V=\pi (2^{2})(7)=28\pi\ cm^{3}

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

7 0
3 years ago
Read 2 more answers
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

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<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
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