Answer: -7/3
Step-by-step explanation: To find the slope of this line, we can use a few different methods but I will be showing you the <em>table method</em>.
So let's make a table for our ordered pairs with the <em>x values</em> in the left column and the <em>y values</em> in the right column.
Our first ordered pair is (8,1) so we put an 8 in the x column and a 1 in the y column. Our second ordered pair is (1,4) so we put a 1 in the x column and a 4 in the y column. Now, remember that the slope is always equal to the rate of change or the change in y<em>/</em>change in x.
Using the table, we can see that the values of <em>y</em> go from 1 to 4 so the change in y is 2 and the values of
x go from 8 to 7 so the change in x is -7.
Therefore, the rate of change or the change in y<em>/</em>change in x is 3/-7 which means that the slope is also equal to 3/-7 or -7/3.
Work is also provided in the image attached.
The probability of the sample is 0.5 or 50%
<u>Explanation:</u>
Given:
Mean, μ = 20
Standard deviation, δ = 1.3
Probability of sample being less than 20.1 = ?
P (x < 20.1) = 20.1 - μ / δ √n
P (x < 20.1) =
= 0.0098
P( x < 20.1) = P(z < 0.0098)
P (z < 0.0098) = 0.5
The value of P is found out using a z score table.
Therefore, probability of the sample is 0.5 or 50%