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just olya [345]

3 years ago

7

Maya visits the movie rental store. On on wall, therear 6 DVDs on each of 5 shelves. On other wall, there are 4 DVDs on each of

4 shelves. How many dvds are there all?

1 answer:

Brrunno [24]3 years ago

5 0

All together there are 46 dvds

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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

Can cointegrated variables have different differencing functions

Bess [88]

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3 years ago

fredd [130]

The ratio of bananas to apples is 2:5

8 0

3 years ago

Read 2 more answers

4x+10=-26 two-step equation

Nana76 [90]

Answer:

x = -9

Step-by-step explanation:

4x+10=-26

Subtract 10 from each side

4x+10-10=-26-10

4x = -36

Divide each side by 4

4x/4 = -36/4

x = -9

7 0

2 years ago

What is the answer to this equation? (picture attached)

SashulF [63]

Answer:

x = $\frac{42}{5}$

Step-by-step explanation:

Given

19 - $\frac{5x+6}{4}$ = 7 ( subtract 19 from both sides )

- $\frac{5x+6}{4}$ = - 12

Multiply both sides by - 4 to clear the fraction and the negative signs

5x + 6 = 48 ( subtract 6 from both sides )

5x = 42 ( divide both sides by 5 )

x = $\frac{42}{5}$

6 0

4 years ago