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In 16years, Ben will be 3 times as old as he is right now.

dedylja [7]

Answer:

Don't quote me on this but I believe the answer is that he is 8 years old right now if that's what you're looking for

Step-by-step explanation:

8 + 16 = 24

8 × 3 = 24

That's what I thought

5 0

3 years ago

A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th

NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

$A = a + (A \cap B)$

In which a is the probability that he wins the first race but not the second and $A \cap B$ is the probability that he wins both these races.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that he wins both races is 0.5.

This means that $A \cap B = 0.5$

The probability that he wins the second race is 0.6

This means that $B = 0.6$

$B = b + (A \cap B)$

$0.6 = b + 0.5$

$b = 0.1$

The probability that he wins the first race is 0.7.

This means that $A = 0.6$

$A = a + (A \cap B)$

$0.7 = a + 0.5$

$a = 0.2$

A) he wins at least one race.

This is

$P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8$

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

$P = a + b = 0.2 + 0.1 = 0.3$

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

6 0

3 years ago

Justin is paid $7.00 an hour and also earns a 20% commission on any sales he makes. In one week, if he worked 40 hours and had $

nignag [31]

Answer:

380

Step-by-step explanation:

7 x 40 = 280 + C = 380

C = Commision

500 x .2 = 100

C = 100

6 0

3 years ago

Find the area of each figure

kotegsom [21]

8x10 = 80
4x4 = 16
2x4 divided 2 = 4
80+16+ 4 = 100

5 0

2 years ago

The Lotta Chocolate Factory makes CHEWY CHERRY CHOCOLATES. The chocolates are shipped out in cases. Each case contains 9 boxes.

babunello [35]

Answer:

324

Step-by-step explanation:

One case has 9 boxes.

One box has 36 chocolates.

This equation would answer the amount in a case, case = chocolate*boxes

So there would be 36*9 chocolates, and that equals 324 in one case

8 0

3 years ago

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