2. the following values represent the scores from the midterm general statistics exam last summer. (the exam was worth 150 points.) 102 106.5 119.5 120 124.5 125 127.5 130 133 134 135 136 136 138.5 139.5 140 142.5 143.5 143.5 144 147.5 a. present these data in a frequency table with 5 classes. b. create the frequency table using letter grades as your classes. (refer to the syllabus for my grading scale.) c. would you consider this a successful exam

50

step-by-step explanation:

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

0.32

step-by-step explanation:

2.24/7

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°