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Wittaler [7]
3 years ago
14

A cylinder has a diameter of 20cm.

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

  • V = πr²h

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

  • 20 * 3/5 = 60/5 = 12 cm

The radius is 1/2 of the diameter, so:

  • 20 * 1/2 = 20/2 = 10 cm

Substitute 12 for h and 10 for r into the volume formula.

  • V = π(10)²(12)

Simplify.

  • V = π * 100(12)  
  • V = π * 1200

The volume of a cylinder, in terms of π, is V = 1200π.

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Answer:

since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

Step-by-step explanation:

Given that the data in the question;

p" = 13/20 = 0.65

Now  the test hypothesis;

H₀ : p = 0.9

Hₐ : p < 0.9

Now lets determine the test statistic;

Z = (p" - p ) / √[p×(1-p)/n]

= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]  

= -0.25 / √[0.9 × 0.1 / 20 ]

= -0.25 / √0.0045

= -0.25 / 0.067

= - 3.73

Now given that a = 0.05,

the critical value is Z(0.05) = 1.645 (form standard normal table)

Now since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

3 0
3 years ago
5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6
lara31 [8.8K]

Answer:

Step-by-step explanation:

distance flown in 5.4 hours = 245.6 miles

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No

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Two cylindrical containers, C and D, with different capacities are shown below. What is the total volume of liquid held in these
Zielflug [23.3K]

Answer:

Option D. (x + 4)(x + 1)

Step-by-step explanation:

From the question given above, the following data were obtained:

C = (6x + 2) L

D = (3x² + 6x + 9) L

Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:

Volume in C = ½C

Volume in C = ½(6x + 2)

Volume in C = (3x + 1) L

Volume in D = ⅓D

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Volume in D = (x² + 2x + 3) L

Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:

Volume in C = (3x + 1) L

Volume in D = (x² + 2x + 3) L

Total volume =?

Total volume = Volume in C + Volume in D

Total volume = (3x + 1) + (x² + 2x + 3)

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Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.

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3 years ago
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