What is the product?

Suppose that Matthew can choose to get home from work by car or bus.

Verizon [17]

Answer:

B-91%

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: arriving home after 7 p.m.

Event B: getting home by bus.

When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.

This means that $P(A|B) = 0.25$

Because the bus is cheaper, he uses the bus 70 percent of the time.

This means that $P(B) = 0.7$

Probability of getting home after 7 p.m.

70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.

100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.

So

$P(A) = 0.7*0.25 + 0.3*0.06 = 0.193$

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

$P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067$

Rouding up, 91%.

So the correct answer is:

B-91%

7 0

4 years ago

What are the domain and range of f(x) = 2x - 4?

Anni [7]

Answer:

y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Find the measure of the numbered angles in rhombus ABCD

sasho [114]

Answer:

see the explanation

Step-by-step explanation:

we know that

In a Rhombus opposite angles are congruent and consecutive angles are supplementary

The diagonals are perpendicular and bisect the angles

so

step 1

Find the measure of angle 4

we know that

$m\angle 4=27^o$ --->by the diagonals bisect the angles

step 2

Find the measure of angle 1

we know that

$m\angle 1=27^o$ ----> by opposite angles are congruent

step 3

Find the measure of angle 2

we know that

$m\angle 1=m\angle 2$ ----> by the diagonals bisect the angles

so

$m\angle 2=27^o$

step 4

Find the measure of angle 3

we know that

$m\angle 3=90^o$ ----> by the diagonals are perpendicular

step 5

Find the measure of angle 5

we know that

$m\angle 5+27^o=90^o$ ----> by complementary angles

$m\angle 5=90^o-27^o=63^o$

step 6

Find the measure of angle 6

we know that

$m\angle 6=m\angle 5$ ----> by the diagonals bisect the angles

$m\angle 6=63^o$

3 0

3 years ago

I need help on 4, 5, and 6.

Ahat [919]

Answers and Explanations:

4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.

5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.

6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.

<em>I hope these help! Feel free to give me Brainliest, if you thought the explanations helped your understanding. :)</em>

6 0

4 years ago

Rafael received a $10 gift card for his birthday. He downloaded 3 songs which each cost $0.99 and 1 app which costs $1.29

DiKsa [7]

Answer:

$5.74

Step-by-step explanation:

10-0.99-0.99-0.99-1.29=$5.74

4 0

3 years ago

Read 2 more answers