From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
<span>Choose another point on the line, such as (1, 3)
step 3:
</span><span>Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
(5-3)/(2-1)=2/2=1
step 4:
</span><span> Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
</span><span>Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form</span>
(a) Data with the eight day's measurement.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
(b) Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Answers:
1. The average is the same with or without the 8th day's data. FALSE
2. The median is the same with or without the 8th day's data. FALSE
3. The IQR decreases when the 8th day is included. FALSE
4. The IQR increases when the 8th day is included. TRUE
5. The median is higher when the 8th day is included. TRUE
Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps 
to 
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
There are 4 squares having a side corresponding to a side of square abcd.
There are 4 squares having a side corresponding to the diagonals of square abcd.
And then the original square
Therefore, there are 4 + 4 + 1 = 9 squares <span>having two or more vertices in the set {a, b, c, d}.</span>
