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Aliun [14]
3 years ago
14

What is the volume if thr cone in cubic inches​

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

  27π in³ ≈ 84.8 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

where r represents the radius of the base of the cone, and h represents its height perpendicular to the base.

The diagram shows r = 3 in, and h = 9 in. Putting these numbers into the formula, we get ...

  V = (1/3)π·(3 in)²·(9 in) = 27π in³

The volume is 27π in³, about 84.8 cubic inches.

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The addition law is potentially helpful when we are interested in computing the probability of
AleksandrR [38]

Answer:

The union of two event

Step-by-step explanation:

Addition law of probability  define that probability of two event  is total sum of probability of any event subtract the probability of both events

There are two rules  in addition law:

Addition law 1 -  when both event are mutually exclusive, then probability of either event is the sum of each event probability.

P( A or B) = P(A) +P(B)

Addition law 2 -  when both events are non mutually exclusive then there in addition to the individual probability there is some overlap .

P( A or B) = P(A) +P(B) - P(A and B)

4 0
2 years ago
Complete the proof for me please, I need help
Naya [18.7K]

Answer:

See explanation for answers

Step-by-step explanation:

Reason 1) Given from the problem statement(because it says that B is the midpoint of AC)

Reason 2) Because B is the midpoint of AC

Reason 3) Given frome the problem statement(because it says that AB/cong CD)

Reason 4) Because two lines congruent to each other have the same length

Reason 5(You didn't explain well)) BC=AB=CD, so BC=CD(Specific reason: Transitivity of equality)

And we're done!

4 0
3 years ago
Which is the area of a rectangle with a length of 21 feet and a width of 15 feet
muminat

Answer:

315 ft^2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
The store paid $2. 70 for a book and sold it for $6. 20. What is the profit as a percent?.
bogdanovich [222]

Answer:

profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book

Step-by-step explanation:

Use the percentage change formula:

percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100

= [ (6.20 - 2.70) ÷ 2.70 ] x 100

= [ 3.5 ÷ 2.70 ] x 100

= 37/27  x 100

= 129.6296296...

= 129.63% (to the nearest hundredth)

5 0
2 years ago
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