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3 years ago

What is the volume of this cylinder?

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Answer:

V =2344 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi (5.4)^2 ( 25.6)

V =746.496 pi

Let pi = 3.14

V = 746.496 (3.14)

V =2343.99744 in ^3

Rounding to the nearest tenth

V =2344 in ^3

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15% of applicants for a job possess the right skills. A company has three positions to fill, and they interview applicants one a

mamaluj [8]

Answer:

a) 0.0437

b) 0.6479

c) 0.3958

Step-by-step explanation:

This is a negative binomial distribution problem. A negative binomial distribution problem describes a sequence of trials, each of which can have two outcomes (success or failure). We continue the trials indefinitely until we get r succeses.

The probability of y trials before obtaining r successes is given as

P(y) = ʸ⁻¹Cᵣ₋₁ pʳ qʸ⁻ʳ

p = 0.15

q = 1 - p = 0.85

r = 3

y = 15, ≥15 and ≤15

a) Probability of interviewing exactly 15 applicants.

p = 0.15

q = 1 - p = 0.85

r = 3

y = 15,

P(y=15) = ¹⁵⁻¹C₃₋₁ (0.15)³ (0.85)¹⁵⁻³

P(y=15) = ¹⁴C₂ (0.15)³ (0.85)¹² = 0.0436859997 = 0.0437

b) Probability of interviewing at least 15 applicants = P(y ≥ 15)

P(y ≥ 15) = 1 - P(y < 15)

P(y < 15) = P(y=3) + P(y=4) + P(y=5) + P(y=6) + P(y=7) + P(y=8) + P(y=9) + P(y=10) + P(y=11) + P(y=12) + P(y=13) + P(y=14)

= 0.003375 + 0.00860625 + 0.014630625 + 0.0207267188 + 0.0264265664 + 0.031447614 + 0.0356406292 + 0.0389501162 + 0.0413844985 + 0.0429938957 + 0.0438537736 + 0.0440531089

P(y < 15) = 0.3520887963

P(y ≥ 15) = 1 - P(y < 15) = 1 - 0.3520887963 = 0.6479112037 = 0.6479

c) Probability of interviewing at most 15 applicants

P(y ≤ 15) = P(y=3) + P(y=4) + P(y=5) + P(y=6) + P(y=7) + P(y=8) + P(y=9) + P(y=10) + P(y=11) + P(y=12) + P(y=13) + P(y=14) + P(y=15)

(y ≤ 15) = 0.003375 + 0.00860625 + 0.014630625 + 0.0207267188 + 0.0264265664 + 0.031447614 + 0.0356406292 + 0.0389501162 + 0.0413844985 + 0.0429938957 + 0.0438537736 + 0.0440531089 + 0.0436859997 = 0.395774796 = 0.3958

Hope this Helps!!!

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3 years ago

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Answer:

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