Assume that random guesses are made for 15 multiple chioce questions on an sat test and that there are 5 choices on each question with the probability of success 0.20. find the probability that the number of correct answers is at most 6 (this problem meets all the requirements of a binomial situation.)

The probability is:

                          0.9818

Step-by-step explanation:

We need to use the binomial theorem in order to find the probability.

We know that when there are r successes out of n total experiments such that p denote the probability of success then the probability of r successes is given by the formula:

Here we khave:

n=15

p=0.20

Hence,

1-p=1-0.20=0.80

Also, we are asked to find the probability that the number of correct answers is at most 6 i.e.

Hence,

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle