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3 years ago

The circumference of a circle is equal to π times its diameter.

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

Answer:

75.36 ft (not estimated)

Step-by-step explanation:

Use the formula D = d(pi)

24*3.14=75.36

Hope this helps! Have a nice day!

You might be interested in

In a company, 37% of 1500 employees are females.work out the number of males in the company.

a_sh-v [17]

Formula:

$y = p\% \times x$
$p = 37\% \div 100 = 0.37$
$y = 0.37 \times 1500 = 555$
so there are 555 woman working.
$1500 - 555 = 945$
there are 945 men working

6 0

3 years ago

Find the approximate area of a circle that has a diameter of 11 inches. Round your answer to the nearest hundredth

OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

Use the formula, A= pi r^2 and D=2r

A=1/4pi d^2=1/4 times pi time 11 squared

4 0

2 years ago

How to subrtact a negative from a negative?

Kamila [148]

Here, this website explains it perfectly

Step-by-step explanation:

https://www.k5learning.com/blog/subtracting-positive-and-negative-numbers

8 0

4 years ago

Read 2 more answers

Taylor and Layla go to the movie theater and purchase refreshments for their friends.

zhenek [66]

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

The price of a drink is $8.50

Step-by-step explanation:

Taylor and Layla go to the movie theater and purchase refreshments

for their friends

Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn
Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

We need to write a system of equations that can be used to find the

price of one drink and the price of one bag of popcorn

Assume that the price of each drink is $x and the price of each bag

of popcorn is $y

∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn

∴ 4 x + 9 y = 43 ⇒ (1)

∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

∴ 2 x + 8 y = 25 ⇒ (2)

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

Multiply equation (2) by -2 to eliminate x

∵ -2(2 x) + -2(8 y) = -2(25)

∴ -4 x - 16 y = -50 ⇒ (3)

- Add equations (1) and (3)

∴ -7 y = -7

- Divide both sides by -7

∴ y = 1

- Substitute y in equation (1) to find x

∵ 4 x + 9(1) = 43

∴ 4 x + 9 = 43

- Subtract 9 from both sides

∴ 4 x = 34

- Divide both sides by 4

∴ x = 8.5

∵ x is the price of each drink

∴ The price of a drink = $8.50

The price of a drink is $8.50

Learn more:

You can learn more about system of equation in brainly.com/question/6075514

#LearnwithBrainly

6 0

3 years ago

4. A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean

Ede4ka [16]

Adding 2 to each value of the random variable $X$ makes a new random variable $X+2$ . Its mean would be

$E[X+2]=E[X]+E[2]=E[X]+2$

since expectation is linear, and the expected value of a constant is that constant. $E[X]$ is the mean of $X$ , so the new mean would be

$E[X+2]=10+2=12$

The variance of a random variable $X$ is

$V[X]=E[X^2]-E[X]^2$

so the variance of $X+2$ would be

$V[X+2]=E[(X+2)^2]-E[X+2]^2$

We already know $E[X+2]=12$ , so simplifying above, we get

$V[X+2]=E[X^2+4X+4]-12^2$

$V[X+2]=E[X^2]+4E[X]+4-12^2$

$V[X+2]=(V[X]+E[X]^2)+4E[X]-140$

Standard deviation is the square root of variance, so $V[X]=3^2=9$ .

$\implies V[X+2]=(9+10^2)+4(10)-140=9$

so the standard deviation remains unchanged at 3.

NB: More generally, the variance of $aX+b$ for $a,b\in\mathbb R$ is

$V[aX+b]=a^2V[X]+b^2V[1]$

but the variance of a constant is 0. In this case, $a=1$ , so we're left with $V[X+2]=V[X]$ , as expected.

5 0

4 years ago