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3 years ago

9. An ice cream cone has a diameter

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

6 0

Answer:166.7 milliliters

Step-by-step explanation:

height(h)=13cm

Radius(r)=diameter ➗ 2

r=7 ➗ 2

r=3.5cm

π=3.14

Volume=(π x r^2 x h) ➗ 3

Volume=(3.14 x (3.5)^2 x 13) ➗ 3

Volume=(3.14x3.5x3.5x13) ➗ 3

Volume=500.045 ➗ 3

Volume=166.7cm^3

1 cm^3=1mL

Therefore 166.7cm^3=166.7mL

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1 year ago

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Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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0.3968 = 39.68% probability this shipment passes inspection.

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2 years ago