Answer:
Step-by-step explanation:
A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:
A.
In this case we have 4 terms, so we can use Grouping:
Part a:
We're going to use Greatest common factor:
Part b:
In this part we also use greatest common factor:
Then,
This polynomial is not prime.
B.
This polynomial cannot be factorized then it's prime.
C.
In this polynomial we can use grouping too:
Part a:
Part b:
Then,
This polynomial isn't prime.
D.
First we're going to use Greatest common factor:
Now we're going to apply grouping on the terms inside of the parenthesis:
Part a:
Part b:
Then,
Remember that at the beginning we use Greatest common factor:
This polynomial isn't prime.
Answer:
B not C 9x^3 + 11x^2 + 3x - 33
Step-by-step explanation:
The probability that Emma has heart disease and the test predicts heart disease is:
48%
Let A denote the event that Emma has a heart disease.
and B denote the event that the test predicts accurate.
Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.
From the given equation we have:
P(A)=0.6
and P(B)=80%=0.8
As we know that event A and event B are independent.
Hence, we have:
P(A∩B)=P(A)×P(B)
⇒ P(A∩B)=0.6×0.8
⇒ P(A∩B)=0.48=48%
Hence, the probability is:
48%
Answer: 3.47
Step-by-step explanation:
Absolute value is distance from zero.