ANSWER
EXPLANATION
The given expression is
The greatest common factor is 2.
We factor 2 to obtain:
The expression in the parenthesis is prime.
This means that the quadratic expression in the parenthesis cannot be factored.
Hence the completely factored form is:
Answer:
The expected loss is $6980
Step-by-step explanation:
From the question we are told that
The chance that a customer survives another year is p =0.96
The rate at which the policy is sold is r = $85 per month
The rate at which the policy is sold per year is R = $85 * 12 per year
= $1020 per year
The amount paid the the beneficiaries is $200,000
The expected value of profit/loss for this company is mathematically represented as
substituting values
- $6980
The negative sign shows that it is a loss
Answer:
16c² + 32cd + 16d²
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients. For example, is an example of a cubic polynomial.
Area of a square = side length x side length
Therefore, given the side length of this square is 4c + 4d, then the area can be expressed as:
area = (4c + 4d) x (4c x 4d) = (4c + 4d)²
If we expand the brackets we get:
area = 16c² + 32cd + 16d²
Answer:
There is a 90.32% probability that the cake was baked by Doug.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that Doug bakes the cake.
A 30% probability that Jeremy bakes the cake.
A 40% probability that a cake baked by Doug gets a thumbs up.
A 10% that a cake baked by Jeremy gets a thumbs up.
One cake was selected at random on 10/01/2014 and got a "thumbs up".
1. Find the probability that the cake was baked by Doug.
The probability that a baked cake gets a thumbs up is:
Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:
There is a 90.32% probability that the cake was baked by Doug.