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Rainbow [258]
3 years ago
14

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t

hat fits exactly inside the cylinder?
(3.14)(52)(8)
1 over 3(3.14)(52)(8)
(3.14)(82)(5)
1 over 3(3.14)(82)(5)
Mathematics
2 answers:
Lilit [14]3 years ago
6 0
The answer is 1 over 3(3.14)(5²)(8) 

The volume of the cylinder (V1) is:
V1 = π · r² · h                (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h         (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8   which is the same as 1 over 3(3.14)(5²)(8). 

IceJOKER [234]3 years ago
4 0

Answer:

1 over 3(3.14)(5²)(8)

Step-by-step explanation:

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Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A
gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

  • Dependent events in probability are generally real-life events that depend on another event to occur.
  • Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
  • When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

           P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

           P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

           P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

           P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

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8 0
1 year ago
Please help me with this if you can? thanks alot :)))​
Lynna [10]

The probabilities are:

  • P(red) = 5/24
  • P(orange) =  0
  • P(blue) =  1/3
  • P(not green)= 17/24
  • P(green or black) = 11/24
  • P(not yellow)  = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

  • 5 red marbles.
  • 7 green marbles.
  • 4 black marbles.
  • 8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

  • P(red) = 5/24
  • P(orange) = 0/24 = 0  (because there are 0 orange marbles).
  • P(blue) = 8/24 = 1/3
  • P(not green) = (24 - 7)/24 = 17/24
  • P(green or black) = (4 + 7)/24 = 11/24
  • P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

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5 0
2 years ago
Multiply (5x^2 + x-4(x+2)
bagirrra123 [75]

Answer:

5x^2-3x-8

Step-by-step explanation:

So you will want this to be simplified.

expanding brackets is a great way of doing this

one you have expanded all brackets u get the answer above

:)

4 0
3 years ago
What is 5 2/9 plus 7 5/15
alina1380 [7]
47/9+110/15=705/135+990/135=1695/135=12 15/27
7 0
3 years ago
Read 2 more answers
A hair dryer has a resistance of 11. 5. What current does it conduct when it is plugged into a wall outlet that provides 120 V?
Nata [24]

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

<h3>Ohms law</h3>

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

Learn more on ohms law here:brainly.com/question/14296509

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6 0
2 years ago
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