Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new
1 answer:
Answer:
90050+10x; At least 85 hours
Step-by-step explanation:
Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.
50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.
To solve, subtract 50 from each side.
85010x
Divide by 10 to solve for x:
85x
Nick must work at least 85 hours.
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Answer:
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.
Step-by-step explanation:
For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used 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.
The brand name of Mrs. Fields (cookies) has a 90% recognition rate.
This means that .
Sample of 10
This means that
Find the probability that exactly 9 of the 10 consumers recognize her brand name.
This is P(X = 9). So
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
Also, find the probability that the number who recognize her brand name is not nine.
1(100%) subtracted by those who recognize. So
1 - 0.3874 = 0.6126
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.