If a number is chosen randomly from the set of numbers {1,2,3,4,..., 17), find the probability of getting a composite number.

Explanation:

The set of primes in that given list is {2,3,5,7,11,13,17}

The set of composites is {4,6,8,9,10,12,14,15,16}. So it's basically everything but the prime numbers. We don't include the value 1 in either list since 1 is neither prime nor composite.

Counting the number of items in the list {4,6,8,9,10,12,14,15,16} leads to 9 items. This is out of 17 values total in the original list

The probability of getting a composite value is therefore 9/17

26x+8

Step-by-step explanation:

9x-x+8(x+1)+10x

I just distributed the negative sign in -(x-8)

9x-x+8x+8+10x

Now I distributed the 8 in (x+1)

26x+8

Now I added like terms

I Hope It's Helpful :)