Answer:
The answer to the question is
The probability that at least one of the next three customers purchases premium gas is the complement of the probability that none of the next three customers purchase premium gas = 1 - (1-P(A))³ = 0.834
Step-by-step explanation:
The probability that a customer would purchase premium grade = 45 %
That is P(A) = 0.45 and
The probability that the customer would purchase another grade = P(B) = 0.55
Therefore the probability of at least one of the next three customers purchase premium gas is
P(k=0) = (1 - P)ⁿ and the probability of at least one customer purchases premium gas is the compliment of the probability that the next three customers purchase another gas brand
that is (1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³ and the complement is 1 - 0.55³ = 0.834
Answer:
This really depends.
Step-by-step explanation:
If a walnut costs 10 cents, he can buy 2 walnuts.
If a walnut costs 5 cents, he can buy 4.
If a walnut costs 20 cents, he can buy 3.
Answer:

Step-by-step explanation:
We have been given that there are 4 red marbles and 7 blue marbles and 5 yellow marbles in a bag. Monica will randomly pick two marbles out of the bag replacing the first marble before picking the second marble.
Since Monica will replace the first marble before picking the second marble, therefore, probability of both events will be independent and probability of occurring one event will not affect the probability of second event's occurring.
Since the probability of two independent compound events is always the product of probabilities of both events.

Now let us find probability of picking a red marble out of 16 (4+7+5) marbles.

Probability of picking blue ball out of 16 (4+7+5) marbles:

Now let us find probability of Monica picking a red and then a blue marble.





Therefore, the probability of picking a red and then blue marble is
.
The correct answer is C.
The inverse property of multiplication states that a number multiplied by its reciprocal equals 1. The reciprocal of 1/2 is 2/1, or 2.
<u>Answer:</u>
The value of variable "m" in the equation 803 divided by 73 = m is equal to 11.
<u>Solution:</u>
Need to find the variable in the given equation 803 divided by 73 = m
That means need to solve below expression to determine value of variable m.

So let’s solve left hand side to get the value of m.
For sake of simplicity let’s do factorization of numerator and denominator and remove the common terms in numerator and denominator.

Hence value of variable m is equal to 11.