Find two numbers whose sum is 15 and whose product is as large as possible.

1 answer:

6 0

If one number is x the other is 15-x so their product is 15x-x².
This can be written -(x²-15x+225/4)+225/4=(15/2)²-(x-15/2)².
The largest value of this expression is when x=15/2=7.5 so the other number is also 7.5.
Let’s pick two other numbers and check their product: 7 and 8, product=56 but the product of 7.5 and 7.5=56.25 which is larger, therefore the two numbers are 7.5 and 7.5.

You might be interested in

9x-6=4x+19 I don't understand this please help 10 points

Hunter-Best [27]

5x+25 final answer is x=5

3 0

3 years ago

According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$