Nthe arcade game skee ball, players roll a ball up a ramp and receive 10 to 50 points based on where the ball lands. players will attempt to aim the ball to receive higher scores, which are more difficult to achieve based on size and location. however, if a ball is rolled randomly up the ramp, the probabilities of the ball landing in different scoring areas are not equal. assume the following probabilities for each possible score:
score 10 points 20 points 30 points 40 points 50 points
probability 0.50 0.25 0.15 0.07
0.03
assume that a player rolls three balls at random.
a) what is the probability of a total score of at least 100 points?
b) if the first ball scores 30 points, what is the probability of a total score of at least 100 points?
c) are the events "the first ball scores 30". and the "total score is at least 100" independent?
why or why not? ?
d) what is the expected total score? what is the variance of the score on one roll?

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

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

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step-by-step explanation:

exactly you go it

step-by-step explanation: