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Kitty [74]
2 years ago
14

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the c

ircle was 14 feet.Which expression best represents the value of x?

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

Answer:

A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?

The expression which represents the value of π is option C from the attachment that is π = 43.96/14

Step-by-step explanation:

Given:

Circumference of the circle = 43.96 feet

Diameter f the circle = 14 feet

So,

We know that :

Circumference of the circle = 2(\pi )r or (\pi)d

Re-arranging the formula:

⇒ (\pi)d = Circumference\ (C)  

⇒ (\pi )d =C

⇒ \frac{\pi\times d}{d}=\frac{C}{d}

⇒ \pi =\frac{C}{d}

Plugging the numeric values:

⇒ \pi =\frac{43.96}{14}

So the expression for π is 43.96/ 14,and option C is the correct choice.

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The answer to this question would be:
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After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
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If you put X=2 and X=4 the result would be: 
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The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
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There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

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Second Way:

Let's find the area of the actual room.

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Just need to check these answers
amid [387]
Great Job! they are all correct.  :)


Good luck in your next tests.
3 0
2 years ago
3. Tom, Sam and Matt are counting drum beats.
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Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

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12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0
2 years ago
Meeting at least one person with the flu in thirteen random encounters on campus when the infection rate is 2% (2 in 100 people
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Answer:

23.1% probability of meeting at least one person with the flu

Step-by-step explanation:

For each encounter, there are only two possible outcomes. Either the person has the flu, or the person does not. The probability of a person having the flu is independent of any other person. So we use the binomial probability distribution 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.

Infection rate of 2%

This means that p = 0.02

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Either you meet none, or you meet at least one. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

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In which

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P(X = 0) = C_{13,0}.(0.02)^{0}.(0.98)^{13} = 0.7690

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23.1% probability of meeting at least one person with the flu

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