Answer:
For x∈ {-∞,-3} y<0, below x-axis
x∈ {-3,-1} y>0, above x-axis
x∈ {-1,4} y<0, below x-axis
x∈ {4,∞} y>0, above x-axis
Step-by-step explanation:
f(x)=
=0



For x∈ {-∞,-3} y<0, below x-axis
x∈ {-3,-1} y>0, above x-axis
x∈ {-1,4} y<0, below x-axis
x∈ {4,∞} y>0, above x-axis
First, Michelle exercises for thirty minutes every day.
If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.
30 × 5 = 150 minutes
Answer:
13
Step-by-step explanation:
The GCF of 36, 48, and 72 is 12 so there will be 36 / 12 = 3 stacks of English books, 48 / 12 = 4 stacks of science books and 72 / 12 = 6 stacks of math books for a total of 3 + 4 + 6 = 13 stacks.
Answer:
0.006% probability that the final vote count is unanimous.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Random voting:
So 50% of voting yes, 50% no, so 
15 members:
This means that 
What is the probability that the final vote count is unanimous?
Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

In which



So

0.006% probability that the final vote count is unanimous.