Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is
Hence, option C is the correct answer.
Answer:
a) 60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.
b) 70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters
c) 50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
The probability of X being higher than x is:
The probability of X being between c and d is:
For this problem, we have that:
(a) at most 8.8 liters;
60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.
(b) more than 7.4 liters but less than 9.5 liters;
70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters
(c) at least 8.5 liters.
50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters