We use the following reflection rule:
(x, y) = (x + 1, y)
We have then:
M (-3, 1) ---> M '(- 2, 1)
O (1, 4) ---> O '(2, 4)
P (3, -1) ----> P '(4, -1)
Answer:
The new vertices are
M '(- 2, 1)
O '(2, 4)
P '(4, -1)
Graph five (last from left to right) is the correct one.
The Mode is 10 as it is the most repeated number.
Answer:
(-4,1)
Step-by-step explanation:
The given parabola is

When we rewrite in vertex form, we get;

Or

When we compare to:

We have 4p=-4
This means p=-1
But the vertex is at:
(-4,2)
Since it is a vertical parabola that opens down, the focus is one unit(|p|=1) below the vertex.
Hence the focus is (-4,1)
Answer:
Step-by-step explanation:
Answer: 0.1699
Step-by-step explanation:
Given: The proportion of all workers employed by the university belong to the workers' union = 0.96
Sample size : n= 5
Binomial probability distribution formula :

The probability that exactly 4 of the workers interviewed are union members :-

Required probability = 0.1699