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2 years ago

What is the formula for calculating the area of a circle.

Mathematics

1 answer:

Tom [10]2 years ago

6 0

Answer:

$A=\pi\times r^2$

Step-by-step explanation:

In order to find the area of a circle we multiply π by the radius, and to find the radius of a circle we have to look at the line that stops directly in the middle of the circle.

$\pi\times r$

Once we then have the radius, we simply multiply the radius, (with an exponent of 2) by π and then we will have our answer. Of course, round if needed.

$A=\pi\times r^2$

Hope this helps.

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A grocery store’s receipts show that Sunday customer purchases have a skewed distribution with a mean of 27$ and a standard devi

34kurt

Answer:

(a) The probability that the store’s revenues were at least $9,000 is 0.0233.

(b) The revenue of the store on the worst 1% of such days is $7,631.57.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{X}=n\mu$

And the standard deviation of the distribution of the sum of values of X is given by,

$\sigma_{X}=\sqrt{n}\sigma$

It is provided that:

$\mu=\$27\\\sigma=\$18\\n=310$

As the sample size is quite large, i.e. n = 310 > 30, the central limit theorem can be applied to approximate the sampling distribution of the store’s revenues for Sundays by a normal distribution.

(a)

Compute the probability that the store’s revenues were at least $9,000 as follows:

$P(S\geq 9000)=P(\frac{S-\mu_{X}}{\sigma_{X}}\geq \frac{9000-(27\times310)}{\sqrt{310}\times 18})\\\\=P(Z\geq 1.99)\\\\=1-P(Z$

Thus, the probability that the store’s revenues were at least $9,000 is 0.0233.

(b)

Let s denote the revenue of the store on the worst 1% of such days.

Then, P (S < s) = 0.01.

The corresponding z-value is, -2.33.

Compute the value of s as follows:

$z=\frac{s-\mu_{X}}{\sigma_{X}}\\\\-2.33=\frac{s-8370}{316.923}\\\\s=8370-(2.33\times 316.923)\\\\s=7631.56941\\\\s\approx \$7,631.57$

Thus, the revenue of the store on the worst 1% of such days is $7,631.57.

5 0

2 years ago

I really need help and fast llease

Solnce55 [7]

A unit rate means for one, so in this case they mean for one pound of the horse feed which brand sells the highest. You would divide the cost into the number of pounds for each brand. Now, compare all the brands and see which one is highest.

4 0

3 years ago

Read 2 more answers

It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cos

Svetlanka [38]

Answer:

Sandwich sells for $4.76 .

Step-by-step explanation:

As given

It costs $2.80 to make a sandwich at the local deli shop.

To make a profit, the deli sells it at a price that is 170% of the cost.

170% is written in the decimal form

$= \frac{170}{100}$

= 1.7

Thus

Sandwich selling cost = 1.7 × Cost of making

Put all the values in the above

Sandwich selling cost = 1.7 × $ 2.80

= $4.76

Therefore the Sandwich sells for $4.76 .

7 0

3 years ago

Read 2 more answers

Neil has 3 partially full cans of white paint. They cantain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain

Marianna [84]

Answer:

1 1/30 gallons, or 31/30 gallons of paint

Step-by-step explanation:

Before these fractions can be added together they have to have a common denominator. The Least Common Multiple of 2, 3, and 5 is 30, so

1/3 = 10/30 1/5 = 6/30 1/2 = 15/30

10/30 + 6/30 + 15/30 = 31/30, or 1 1/30

6 0

3 years ago

molly shot 20 baskets in 4 minutes Nico shot 42 baskets in 6 minuets how many more baskets did nico shoot per minuete did

Lorico [155]

Nico shot more baskets. Molly shot 5 baskets per minute. 20/4=5 Nico shot 7 baskets per minute. 42/6=7

8 0

3 years ago