Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
Answer:
120
Step-by-step explanation:
We can do 90*(100/60) to figure out which number is 90 when it is only 60 percent. This means the original number was 150. Now we just do 150/5 which equals 30. Then we can multiply 30*4 = 120.
This would be no solution , there is none
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:

In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Unable to provide a definitive answer due to lack of diagram.
Answer: 1/4
Step-by-step explanation:
Multiples of 6:
Multiples of 6 are numbers obtained when 6 is multiplied by an integer. Such as
(6*1) = 6, (6*2)=12, (6*3) = 18..... and so on.
Probability is calculated by finding the ratio of the required outcome and total possible outcomes.
Probability = required outcome / Total possible outcomes
P(multiple of 6) = number of multiples of 6 / total number of possible outcomes
If number of 6 multiples = 5 and
Total number of faces in the spinner = 20
Then :
P(multiple of 6) = 5/20 = 1/4