The slope of the line given the points is calculated through the equation,
m = (y2 - y1) / (x2 - x1)
Substituting the known values,
m = (6 - 6) / (-2 - 4) = 0
The slope of the given line is equal to 0 which means that it is a horizontal line.
If you would like to know the equation for the above expression, you can calculate this using the following steps:
x ... the number
x * 1/3 inches = 5/6 inches
x * 1/3 = 5/6 /*3/1
x = 5/6 * 3
x = 5/2 = 2 1/2
The correct result would be x * 1/3 inches = 5/6 inches
This is the concept of probability, we are required to calculate for the probability of rolling a 4 with a single die four times in a row;
To solve this we proceed as follows;
The probability space of a die is x={1,2,3,4,5,6}
The probability of a die falling on any of this number is:
P(x)=1/6
Thus the probability of rolling a 4 with a single die four times which makes up mutually exclusive events will be:
1/6*1/6*1/6*1/6
=(1/6)^4
=1/1296
The answer is B] 1/1296
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
