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Musya8 [376]
3 years ago
9

A sphere has a diameter of 14 units. what is the volume of the sphere in cubic units ? If a cylinder have the same radius as th

e spear and a height of 14 units what is the volume of the cylinder
Mathematics
2 answers:
Dimas [21]3 years ago
8 0

Answer:

Therefore, the volume of sphere is 1436.03 cubic units.

Step-by-step explanation:

professor190 [17]3 years ago
4 0

V≈1436.76 units cube (sphere)

V=πr^2h (cylinder)

r=7

h=14

V≈2155.13 units cube (cylinder)

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Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma
Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with \mu = 112 inches and \sigma = 14 inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - \mu = 112 inches

Standard deviation - \sigma = 14 inches

The z-score formula is given by, Z=\frac{x-\mu}{\sigma}

Now,

P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})

P(X>140)=P(Z>\frac{140-112}{14})

P(X>140)=P(Z>\frac{28}{14})

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The Z-score value we get is from the Z-table,

P(X>140)=1-0.9772

P(X>140)=0.0228

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

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7nadin3 [17]

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Step-by-step explanation:

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