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Y_Kistochka [10]
3 years ago
8

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The com

pany uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth
Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.

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The probability that at least one of the calculators is defective is : 0.725

<h3>What is probability?</h3>

Probability is the likelihood of an event happening or not.

if there is certainty that the event would happen probability is 1.

Analysis:

probability = required outcome/possible outcome

for 33 good calculators and 12 defective calculators, total calculators = 45

4 calculators were chosen, possible outcome = 45C4 = 148995

Required outcome = 33C3 . 12C1 + 33C2 . 12C2 + 33C1 . 12C3 + 33C0 . 12C4

= 65472 + 34848 + 7260 + 495 = 108075

Probability = 108075/148995 = 0.725

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7 0
2 years ago
3 red balls, 4 white balls, and 1 green ball are in a bag. Balls are drawn without replacement. Find the probability that the re
jolli1 [7]

The probability that the red balls can be drawn before the green ball is drawn is 3/8.

<h3>What is Probability?</h3>

The probability is the measure of the likelihood of an event to happen.

Given:

red balls= 3

white balls = 4

green balls = 1

So, Probability of red balls

=3/8

Probability of green balls

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7 0
2 years ago
HOW DO I SOLVE THIS PLEASE HELP
malfutka [58]

Answer:

  x = 15

Step-by-step explanation:

We assume you want to find the value of x.

Know (or prove) that in this geometry, all of the right triangles are similar. That means the ratios of corresponding sides are proportional.

  short side / hypotenuse = 9/x = x/25

  x^2 = (9)(25) . . . . . . . . . . multiply by 25x ("cross multiply")

  x = √((9)(25)) = (3)(5) . . . take the square root

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3 years ago
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A, 2 5/8 cups

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Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.

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3 years ago
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