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3 years ago

If 9% of a number equals 5, find 36% of that number.

Mathematics

1 answer:

lakkis [162]3 years ago

8 0

Answer:

Step-by-step explanation:

You can set this up in an algebraic equation:
.09x=5 which translates to 9% times a variable or unknown number equals 5
Divide both sides by .09 which turns to 55.5
Multiply by .36 to find 36% of that number which equals 20

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A company that sells annuities must base the annual payout on the probability distribution of the length of life of the particip

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Answer:

Step-by-step explanation:

Let X be length of life of the participants in the plan.

Given that X is N(68,3.5)

We convert this to standard normal score z using

$z=\frac{x-68}{3.5}$

a) proportion of the plan recipients that would receive payments beyond age 75= $P(X\geq 75) = P(Z\geq 2)\\= 0.025$

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3 years ago

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Answer:

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3 years ago

Factor Completely:<br> x²+x+8

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Answer:

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Step-by-step explanation:

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3 years ago

Which expression represents h(x)?

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2 years ago

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q2+11q

Sedbober [7]

Answer:

$(q+\frac{11}{2})^2-\frac{121}{4}$

Step-by-step explanation:

We have been given an expression $q^2+11q$ . We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form $a^2+2ab+b^2$ .

To convert our given expression into perfect square trinomial, we need to add and subtract $(\frac{b}{2})^2$ from our given expression.

We can see that value of b is 11, so we need to add and subtract $(\frac{11}{2})^2$ to our expression as:

$q^2+11q+(\frac{11}{2})^2-(\frac{11}{2})^2$

Upon comparing our expression with $(a+b)^2=a^2+2ab+b^2$ , we can see that $a=q$ , $2ab=11q$ and $b=\frac{11}{2}$ .

Upon simplifying our expression, we will get:

$(q+\frac{11}{2})^2-\frac{11^2}{2^2}$

$(q+\frac{11}{2})^2-\frac{121}{4}$

Therefore, our perfect square would be $(q+\frac{11}{2})^2-\frac{121}{4}$ .

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2 years ago

Read 2 more answers