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3 years ago

In the diagram below Bd is parallel to XY . what is the value of x

Mathematics

2 answers:

Bad White [126]3 years ago

6 0

B. 60 Alternate angles are equal

Sliva [168]3 years ago

3 0

Answer: The correct option is (B) 60.

Step-by-step explanation: Given that the line BD is parallel ti the line XY.

We are to find the value of x.

We know that

if two parallel lines are cut by a transversal, then the measures of the alternate interior angles are equal.

In the given figure, BD is parallel to XY and they are cut by a transversal.

So, the angles with measures x° and 60° are alternate interior angles.

Therefore, we must have

$x^\circ=60^\circ\\\\\Rightarrow x=60.$

Thus, the value of x is 60.

Option (B) is CORRECT.

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

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3 years ago

Can you help me out on this question?

astra-53 [7]

Answer:

4. x= 18

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We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

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3 years ago

Paul answer 2 out of 5 questions correctly Jan answered 43% of her questions correctly and Juan answered 13 correctly and 6 inco

nika2105 [10]

2/5 = 40%
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3 years ago

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Answer:

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Step-by-step explanation:

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Equation :

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