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3 years ago

Sonja bought a 14-inch pizza. How much crust is around its edge? (Use 3.14 for pi.)

2 answers:

8 0

The measure of the length of the edge, is given by the subsequent formula: <span>L=πD≅3.14D</span><span> where D is the diameter of your pizza, namely D= 14 inches
</span>
Answer: 3.14*14=43.96

goblinko [34]3 years ago

5 0

Answer:

43.96 inches.

Step-by-step explanation:

We have been given that Sonja bought a 14-inch pizza. We are asked to find the crust around edge of pizza.

We know that pizza is in form of circle. The crust around edge of pizza will be equal to circumference of pizza.

$\text{Circumference of circle}=\pi D$ , where D represents diameter of circle.

Upon substituting our given values in above formula, we will get:

$\text{Crust around edge of pizza}=3.14\times 14\text{ inch}$

$\text{Crust around edge of pizza}=43.96\text{ inch}$

Therefore, the crust around edge of pizza is 43.96 inches.

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3 years ago

To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an

kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

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a = 200 + 1.28 * 20 = 225.6

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Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

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For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

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Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

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And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.

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2 years ago

Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest.

antiseptic1488 [7]

Answer:

She is doing a mistake of calculating interest after 9 months in place of after 12 months.

Step-by-step explanation:

Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.

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