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FrozenT [24]
3 years ago
6

Find the value of x, rounded to the nearest tenth. Answer options: 4.2, 3.7, 4.4, 8.9

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

= 8.9 units

Step-by-step explanation:

When a chord intersects with a tangent outside a circle then we use the relationship;

X ² = AO × BO, Where A and are the points of intersection of the chord an the circle, while O is the point of intersection between the chord and the tangent.

Therefore;

x² = 4 × 20 or 8 × 10

x² = 80

x = √80

= 8.944

 ≈ 8.9

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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
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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.

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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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1. D

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Step-by-step explanation:

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