Helen is currently is 8 years old.
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How to solve world problem ?</h3>
Endeavor to understand the question, analyze it and interpret it into equation.
Given that Helen's age is multiples of 4. Next year it'll be a multiple of 3. Helen's older brother is now 19.
This means Helen current age is multiple of 4 and next year it will be a multiple of 3. Also, Helen's age is less than 19
The two available numbers that fit this analysis and less than 19 are 8 and 9. 8 is multiple of 4. 8 + 1 = 9 which is multiple of 3
Therefore, Helen is 8 years old now
Learn more about Arithmetic here: brainly.com/question/6561461
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Step-by-step explanation:

<h3>Answer:</h3>

Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve
, use inverse operations by squaring both sides of the equal sign.

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

and
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Answer:x=8
Step-by-step explanation: