Evaluate f(x)=*when x = 6.

A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop is used to transfer molten st

eduard

Answer:

31.5 in

Step-by-step explanation:

Volume of a hemisphere = (2/3) $\pi$ r³
(where r is the radius)
Volume of a cylinder = $\pi$ r²h
(where r is the radius and h is the height)
radius r = (1/2) diameter

First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:

Volume = (2/3) $\pi$ x 21³ = 6174 $\pi$ in³

Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:

$\pi$ 14²h = 6174 $\pi$

196 $\pi$ h = 6174 $\pi$

Divide both sides by $\pi$ : 196h = 6174

Divide both sides by 196: h = 31.5

Therefore, the height of the molten steel in the storage tank is 31.5 in

3 0

2 years ago

An automobile insurance company divides customers into three categories: good risks, medium risks, and poor risks. Assume that o

Leokris [45]

Answer:

0.60

Step-by-step explanation:

Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk

Firstly, let’s calculate the probability of being a poor risk.

From the given data the number of poor risks = 14229-7362-1190 = 5677

So the probability of being a poor risk = 5677/14229 = 0.399

Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60

6 0

3 years ago

Find the population mean or sample mean as indicated. Sample: 17, 11, 8, 12, 22

Dominik [7]

Answer:

mean:12

Step-by-step explanation:

6 0

3 years ago

(3 + 8i) + (7 -- 2i) - (6 - 5i) AO 4+1 B.O4 + 117 c. 16 +1 D.O4 + 1143

Lubov Fominskaja [6]

Answer: (3 + 8i) + (7 -- 2i) - (6 - 5i) = 4 + 15i

_____________________________________________

Simplify the expression.

4 + 15i

_____________________________________________

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3 0

2 years ago

Write the definition of a function printarray, which has two parameters . the first parameter is an array of integers and the se

Lady bird [3.3K]

Using pseudocode:

printArray(arr[], integers)
DECLARE integers
integers = SizeOf(arr)
FOR i = 1 to integers // loop from 1 to the number of elements in arr[]
print(i)
print('')
i = i + 1
ENDFOR
END

7 0

3 years ago