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Levart [38]
3 years ago
13

Find the volume of a right circular cone that has a height of 2.5 ft and a base with a diameter of 5.2 ft. Round your answer to

the nearest tenth of a cubic foot.
Mathematics
1 answer:
Allisa [31]3 years ago
7 0

Answer: volume of cone = 14.2 ft³

Step-by-step explanation:

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

h represents the height of the cone

r represents the radius of the cone

π is a constant whose value is 3.14

From the information given

Height = 2 feet

Diameter of circular base = 5.2 feet

Radius = diameter/2 = 5.2/2

Radius = 2.6 feet

Therefore,

Volume of cone = 1/3 × 3.14 × 2.6² × 2

Volume of cone = 14.2 ft³ to the nearest tenth of a cubic foot

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Answer:

1 : 2.3

Step-by-step explanation

7 0
2 years ago
Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s
notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

No-show rate of 10%.

This means that p = 0.1

Four travelers who have made hotel reservations in this study.

This means that n = 4

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561

P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0
3 years ago
What are the solutions of this equation? x^ - x - 56 = 0
NikAS [45]

Answer:

y = 0

Step-by-step explanation:

8 0
3 years ago
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I need to figure out what proportion I need to use to convert 3,600 feet into miles
katovenus [111]

There are 5280 feet in a mile:

5280ft/mi

When using proportions to solve for unknown quantities, you need to keep the same units on the same side. This means keep "ft" on the top side and "mi" on the bottom side.

I would go with the second choice.

4 0
3 years ago
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Another one the last one ASAP
kodGreya [7K]

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

6 0
2 years ago
Read 2 more answers
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