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3 years ago

In circle S, what is the value of x? Enter your answer in the box. x = °

Mathematics

1 answer:

nevsk [136]3 years ago

5 0

We are asked to solve for the value of "x" in the problem. In the circle property, assuming that S is the diameter of the circle, we can say that the angle facing the diameter is 90°.

We have the summation of all angles in a triangle equal to 180°. Solving for x, we have:
180 ° = x + 90° + 39°
x = 180° - 90° -39°
x = 51°

The answer for "x" value is 51°.

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4 years ago

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

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Answer:

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

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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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4 years ago

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Hope this helps!! If u want me to answer any more questions just ask! Have a nice day!

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