According to the Fundamental Theorem of Algebra, the number of roots of a polynomial is equal to the degree of the polynomial. The degree of the polynomial is the highest exponent of a term in the polynomial.
Looking at the function, the term with the highest exponent is 8x7. The exponent is 7; therefore, the function has 7 roots.
Answer:
P(B|Y)=0.4
Step-by-step explanation:
We are given with a Venn diagram of a universe with 26 elements and two different outcomes: B and Y
And we are asked to find P(B|Y)
The formula for P(B|Y)= 
From Venn diagram, 
And P(Y)=
Hence P(B|Y)=
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Probability of winning:
Desired outcomes:
The 6 correct numbers, so 
Total outcomes:
6 numbers from a set of 21. So

Probability:

Expected value
probability of earning 40,000.
probability of losing 1. So

The expected value of this game is -$0.26.
Answer:
120
Step-by-step explanation:
If (-5) = x then the anwser should be
-234