Answer:
1). Option A
2). Option B
Step-by-step explanation:
Question 1
Rule for the dilation of a point by a scale factor 'k' is given by the rule,
(x, y) → (kx, ky)
By this rule image of point A when dilated by the scale factor = 1.25,
A(-12, -8) → A'[(-12 × 1.25), (-8 × 1.25)]
→ A'(-15, -10)
Option A will be the answer.
Question 2
Scale factor = 
From the figure attached,
Scale factor = 
= 
=
Therefore, rule for the dilation of ABC to form image triangle A'B'C' will be,
(x, y) → 
Option B will be the answer.
Answer:
yes
Step-by-step explanation:
Answer:
D i believe.
Step-by-step explanation:
P.S. if im wong im really sorry, its been awhile since ive had to do that. But honestly i think its D. also comment on this if im right or wrong pls, id like to know.
Formula for standard deviation sample calculation is:
SD = sqrt (( ∑( x - m)²) / ( n - 1 )),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = ( 10 + 11 + 11 + 12 +12 ) / 5 = 11.2
SD = sqrt (( 1.2² + 0.2² + 0.2² + 0.8² + 0.8² ) / ( 5 - 1 ))=
= sqrt ( 2.8 / 4 ) = √0.7 = 0.837