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2 years ago

C) The ratio between an exterior angle and an interior angle of a polygon is 1:5.

Mathematics

1 answer:

Bingel [31]2 years ago

5 0

Answer:

30° and 12

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12

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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

$P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}$

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

$P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25$

We can calculate the probability of getting one non-conforming units (k=1) as:

$P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51$

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