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3 years ago

Algebra about ages please help

Mathematics

1 answer:

valentinak56 [21]3 years ago

3 0

To solve this problem, we need to recognize that Harry's age is given as "n". We can use this value and the given information to write expressions representing each person's age.

For Example, Jo is 2 years older than Harry and Harry's age is represented by the variable n. This means that n (Harry's age) plus 2 would equal Jo's age. This can be represented by the expression: n +2.

Next, we know that Kate is twice as old as Jo, and Jo's age is represented by the expression n+2. This means that 2 times Jo's age would be equal to Kate's age, or Kate's age = 2(n+2) or 2n +4.

Therefore, your answer is that Jo's age is n + 2 and Kate's age is 2n + 4.

Hope this helps!

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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:

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By the same logic, we have that:

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

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This means that $A \cap B = 0.5$

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This means that $B = 0.6$

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$0.7 = a + 0.5$

$a = 0.2$

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.

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