Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while others are long rectangles. He also notices that some of the tiles are bright white, while others are off-white. He makes detailed notes on how often each of these tiles occurs. Tragically, Tyler crumpled up his notes when the teacher looked in his direction, and now he can't read all the numbers. The absolute and relative frequency tables below show the numbers that Tyler is able to read. Can you help him figure out the rest? Fill in the missing values from each table. Fill in the missing values from each table.
SquareRectangleRow total
Bright white252525101010353535
Off-white
101010
Column total
202020
SquareRectangleRow total
Bright whiteRow %Column %Total %\begin{aligned} &\text{71.43} \\ &\text{52.08} \\ &\text{36.76} \end{aligned}

71.43
52.08
36.76

\begin{aligned} &\text{28.57} \\ &\text{50.00} \\ &\text{14.71} \end{aligned}

28.57
50.00
14.71

\begin{aligned} &\text{100} \\ &\text{} \\ &\text{51.47} \end{aligned}

100
——
51.47

Off-whiteRow %Column %Total %\begin{aligned} &\text{69.70} \\ &\text{47.92} \\ &\text{33.83} \end{aligned}

69.70
47.92
33.83

\begin{aligned} &\text{30.30} \\ &\text{50.00} \\ &\text{14.71} \end{aligned}

30.30
50.00
14.71

\begin{aligned} &\text{100} \\ &\text{} \\ &\text{48.53} \end{aligned}

100
—–
48.53

Column totalRow %Column %Total %\begin{aligned} &\text{} \\ &\text{100} \\ &\large \text{$x$} \end{aligned}

—–
100
x

\begin{aligned} &\text{} \\ &\text{100} \\ &{\text{29.41}} \end{aligned}

—–
100
29.41

\begin{aligned} &\text{100} \\ &\text{100} \\ &\text{100} \end{aligned}

100
100
100

x=x=x, equals

The complete tables are shown below.

The value of x is 70.59%.

Step-by-step explanation:

Absolute frequency table:

         Square   RectangleRow Total

Bright            25         10              35

Off White    23         10              33

Column Total    48         20              68

Relative frequency table

                                   SquareRectangleRow total

                 Row%      71.43%  28.57%          100.00%

BrightColumn%     52.08%  50.00%             ____

                 Total%      36.76%    14.71%            51.47%

                   Row%      69.70%  30.30%          100.00%

Off White  Column%   47.92%  50.00%              ___

                   Total%      33.83%    14.71%           48.53%

                   Row%          ____                  ____            100.00%

Column  Column%       100.00%           100.00%  100.00%

                  Total%       x  = 70.59%     29.41%  100.00%

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )

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