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3 years ago

What is area of circle that has circumference of 12pi

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

36pi

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.

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Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0

3 years ago

Rachel is considering moving into a one-bedroom apartment in Glen Gardens. The apartment has a monthly rent of $1,300. Below are

TiliK225 [7]

She is expected to pay $4508 up front.

Application fee: 2% of 1300 = 0.02(1300) = 26
Credit application fee: 10
Security deposit: 1300
Last month's rent: 1300
Broker fee: 12% of year's rent = 0.12(1300)(12) = 1872

26+10+1300+1300+1872 = 4508

8 0

3 years ago

Brian was thinking of a number. Brian adds 3 then divides by 5 to get an answer of 18. Form an equation with x from the informat

maks197457 [2]

Answer:

$\frac{x + 3}{5} = 18$

6 0

3 years ago

Plz help ill give you brainlyest

Firlakuza [10]

Answer:

psst whats wrong??

Step-by-step explanation:

6 0

3 years ago

The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?

ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

The conversion rule is:

1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

= 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

Learn more about Conversion of units at:

#learnwithBrainly

5 0

3 years ago