Consider a 7 question multiple choice test with 5 possible answers for each question. Only one of the possibilities is correct. Assume that the student guesses without any knowledge of the questions or the answers.

Calculate the probability that the student guesses the correct answer to exactly four questions, at most four questions, and at least four questions using STATDISK

a. P(x) P(x or fewer) 4 0.1167984 0.9510727 P(x or greater) 0.1657257
b. X P(x) P(x or fewer) 4 0.0576782 0.9871216 P(x or greater) 0.0705566
c. P(x) P(x or fewer) P(x or gregter) 4 0.0660603 0.9894186 0.0856417
d. P(x) P(x or fewer). P(x or greater) 4 0.0057244 0.9994855 0.0062389
e. x P(x) 4 0.015778 P(x or fewer) P(x or greater) 0.9975177 0.0182602
f. X P(x) P(x or fewer) 4 0.028672 0.995328 P(x or greater) 0.033344

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

answer is  

a.

5.2 inches

hope you get this right.

2b2t

explanation:

2b2t

10 x 12 = 120 the tens to conte like 10,20,30,40 so i did that 12 times