Hence, the answer is 15.
8.) Squaring each expression gives the solution: .
10.) From the text you can derive the proportion: .
13.) Since the mean GPA of the initial 24 student is 3.10, the sum of all their GPA’s must be (24)(3.10). Adding another student with a GPA of 3.60 would make the average:
The question asked for the difference between the old and new average GPA’s which is .
14.) We must first calculate x:
Since the data set has an even number of points, the median is the mean of the middle two points:
16.) First calculate: , then substitute MHR and RHR into the equation to solve for THR:
17.) Plug all the values into the equation to get:
Which means, on average, you would expect to lose $12.50 from this bet.
29.) Perpendicular lines have slopes that are inverses with opposite signs. If we first convert the given equation into slope intercept form, , we can see the slope of the perpendicular line will be .
30.) We must first calculate the slope:
The first point, , is the y-intercept, so using slope intercept form the equation of the line is: