3 units down would be subtracting 3 from the Y values and 4 units left would be subtracting 4 from the X values
Point A is at (2,-1)
The new point would be at (2-4, -1 -3) = (-2,-4)
Point B is at (1,-4)
The new point would be at (1-4, -4 -3) = (-3,-7)
Point C is at (3,-5)
The new point would be at (3-4, -5-3) = (-1,-8)
Point D is at (5,-3)
The new point would be (5-4, -3-3) = (1,-6)
So the new location would be:
A' (-2,-4)
B' (-3,-7)
C' (-1,-8)
D' (1,-6)
Step-by-step explanation:
4 pictures correlate to 1/3 page.
how many 1/3 pages do we need to get 1 full page ?
3, as 3 × 1/3 = 3/3 = 1.
so, to keep the ratio, we need to multiply also the pictures by 3 and get
4×3 = 12 pictures per page
#1 is x3
Bc x goes up 3 each time and y goes up 2 each time
There are ones, tens, hundreds, thousands, etc. so 4 in 24,567 would be in the thousands place.
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and
be the sample proportion .
As per given question , we have

z-score : 

The required probability ( using z-table ):-

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643