we know that
If 
is a factor of the function 
then
is a root of the function f(x)
therefore
For the value of the function must be zero
Verify
Substitute the value of in the function
therefore
<u>the answer is</u>
Yes, is a factor of the function f(x)
Answer:
a) 16.66%
b) 5%
Step-by-step explanation:
a)
Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.
In this case the probability that you traveled to school that day by car would be
50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%
b)
In this case, the teacher would assume
90% ride on bicycle
0% take the bus
10% travel by car
So, in this case the probability would be
50% of 10% = (0.5)(0.1) = 0.05 = 5%
Answer:
1/4
Step-by-step explanation:
Let's denote the probabilities as following:
Probability that a teenager has a sister:
P(A) = 12/28
Probability that a teenager has a brother:
P(B) = 7/28
Probability that a teenager has both a sister and a brother:
P(A⋂B) = 3/28
Probability that a selected teenager has a sister also has a brother, or in other words, he/she has a brother, given he/she had a sister:
P(B|A)
Let's apply the formula of conditional probability to work out P(B|A)
P(B|A) = P(A⋂B)/P(A) = (3/28)/(12/28) = (3*28)/(12*28) = 3/12 = 1/4
=> Option C is correct
Hope this helps!
Answer: -1/3
Step-by-step explanation:
The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.
