Rotation counterclockwise 90 degrees has the rule
(x,y) -> (-y,x)
So the image is obtained, according to the rule,
(2,3) -> (-3,2)
The best thing to do is to divide by 2 until this cannot happen any further.
36/2= 18
18/2= 9
80/4= 20
Therefore, 36/80 expressed in the lowest terms is 9/20
Hope this helps :)
Answer:
Step-by-step explanation:
Given
The above table
Required
The standard deviation
First, calculate the class mid-point. This is the average of the class interval.
The mid-point x is:
So, we have:
Calculate mean
The standard deviation is:
Answer:
look below
Step-by-step explanation:
2:5
44:110
66:165
Answer:
The probability that the spinner will land on a number that is not between 3 and 8, inclusive is 59/65.
Step-by-step explanation:
Numbers between 3 and 8 inclusive are ; 3,4,5,6,7 & 8. Those are 6 in total.
This means that 59 numbers are not within that range and therefore the probability that the spinner will land on a number outside that range becomes <u>59/65</u>