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3 years ago

What is the volume of a sphere with a diameter of 5.4 ft, rounded to the nearest tenth of a cubic foot?

Mathematics

1 answer:

Lelechka [254]3 years ago

7 0

Answer:

82.4 ft^3

Step-by-step explanation:

Diameter=5.4ft

Radius=diameter/2

=5.4ft/2

=2.7ft

π=3.14

Volume of a sphere=4/3πr^3

=4/3×3.14×2.7^3

=4/3×3.14×19.683

=4/3×61.80462

=247.21848/3

=82.40616

Approximately

82.4 ft^3

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Step-by-step explanation:

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To understand what the variables are, you can take this :

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Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

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Step-by-step explanation:

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$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

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Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

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Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

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