Answer:
The First Image
Step-by-step explanation:
A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.
Answer:
the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
Step-by-step explanation:
From the five randomly selected students ; 160, 175, 163, 149, 153
mean average of the students = 160+175+163+149+153/5
= mean = x-bar = 800/5
mean x-bar = 160
from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]
P( Z>2.34) = from normal Z-distribution table
= 0.0096419
= 0.0096
hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096
where SD = standard deviation = 3.94 and Miu = 150.8
I believe the answer is b and e
Answer:

Step-by-step explanation:
Given: 
Initial value: y(1)=6
Let 

Variable separable

Integrate both sides


Initial condition, y(1)=6


Put C into equation
Solution:

or



Hence, The solution is
or 
Answer:
f(-6) = 72
Step-by-step explanation:
Input -6 for x :
2(-6)²
Complete with P.E.M.D.A.S :
2(36)
then :
72
so therefore :
f(-6) = 72
or
f of x equals 72