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3 years ago

What is the value of x?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

Step-by-step explanation:

YK=60 because of the angle bisector theorem. So x=34+60

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A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect

shtirl [24]

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

$P(A) = 0.8*0.01 + 0.1*0.99 = 0.107$

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

$P(A \cap B) = 0.01*0.8 = 0.008$

What is the probability that he is guilty?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748$

0.0748 = 7.48% probability that he is guilty

8 0

3 years ago

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for

creativ13 [48]

Answer:

WALT DISNEY BOIIII

Step-by-step explanation:

7 0

4 years ago

Since opening night, attendance at play A has increased steadily, while attendance at play B first rose and then fell. Equations

lina2011 [118]

The two lines intersect at the point (4, 214). This means that the attendance was 214 for both plays on the 4th night.

<span>B. The attendance was the same on day 4. The attendance was 214 at both plays that day.</span>

3 0

3 years ago

Read 2 more answers

A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H =

Nookie1986 [14]

Answer:

P(N) = 5/14

Step-by-step explanation:

Find P(N) by finding the probability of getting a noisemaker.

There are 42 items in total, and 15 are noisemakers. Find the probability by dividing 15 by 42:

15/42

Simplify:

5/14

So, P(N) = 5/14

8 0

3 years ago

The length of a rectangle is 5 times the width. If the area is 500 square feet, then what is the length of the rectangle, in fee

tester [92]

Answer:

The length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.

Step-by-step explanation:

Since the length of a rectangle is 5 times the width, to determine the length of the rectangle if the area is 500 square feet, the following calculation must be performed:

Area = Base x height

500 = X x 5X

500/5 = X x X

100 = X x X

100 = 10 x 10

X = 10

Thus, the length of the rectangle is 50 feet, while the width of the rectangle is 10 feet.

8 0

3 years ago