"Given that he is male" is an important phrase here. The "given" in any probability problem is often important. This tells us "only focus on the males" because we know 100% that whoever we picked, the person is a male.
So we only focus on the "male" column. Use a highlighter to mark this column or cover up the other values if they are too distracting. There are 51 males total (bottom row) and 39 males had a flu shot (top row)
Divide the two values: 39/51 = (13*3)/(17*3) = 13/17
Answer: 13/17
Hundred thousands
ten thousands
thousands
hundreds
tens
ones
Answer:
The answer is D
Step-by-step explanation:
All you have to do is distribute.
x^2(5x-4)+4(5x-4) =
5x^3-4x^2+20x-16
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
