Answer:
Step-by-step explanation:
let ????=g
g(x)=x|x|
if x<0,then |x|=-x
-67<0
|-67|=-(-67)=67
g(-67)=-67(67)=-67²
f(-67)=(-67)²=67²
f(-67)+g(-67)=67²-67²=0
Line A, because it is the most vertical
Answer:
0.35 pounds in each cheesecake
Step-by-step explanation:
Number of individual blueberry cheesecakes = 15
Pounds of blueberries = 5 1/4 pounds
How many pounds of blueberries will be in each cheesecake if 5 1/4 pounds of blueberries are divided equally among them?
= 5 1/4 ÷ 15
= 21/4 ÷ 15
= 21/4 × 1/15
= (21*1)/(4*15)
= 21/60 pounds
Equivalent to 0.35 pounds in each cheesecake
Answer:
Required probability equals 0.18%
Step-by-step explanation:
The probability that the primary and one auxiliary computer fails equals
1) Probability that A and B fails
2)Probability that A and C fails
Thus required probability equals

Answer:
0.173 probability that she gets exactly three questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. 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.
Seven questions:
This means that 
Each question has four choices.
Abby guesses, which means that 
Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.
This is P(X = 3).

