Answer: 0.965
Step-by-step explanation:
Given : Water use in the summer is normally distributed with
Let X be the random variable that represents the quantity of water required on a particular day.
Z-score :
Now, the probability that a day requires more water than is stored in city reservoirs is given by:-
We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.
Part 1: The equation of the line is
Part 2: The equation of the line in slope intercept form is
Explanation:
Part 1: It is given that the point A is and the line B is
To determine the line passing through the point A and parallel to line B, let us first determine the slope and y-intercept.
From the equation of line B, the slope is
Substituting the point and
in slope intercept form
, we have,
Thus, the y-intercept is
Let us substitute the values and
in the slope intercept form
, we get,
Thus, the equation of the line passing though point A and parallel to line B is
Part 2: The given two coordinates are and
To determine the equation of line in slope intercept form, first we shall find the slope and y-intercept.
From the graph, we can see that the line touches the y-axis at -1.
Hence, the y-intercept is
The formula for slope is
Substituting the coordinates and
, we have,
Thus, the slope is
Substituting the values and
in the slope intercept formula
, we get,
Thus, the equation of the line in slope intercept form is