Answer:
Step-by-step explanation:
You have to first enter these values into a table. You find that table on your calculator at "stat" then "edit". In L1, enter all the x values, hitting "enter" after each entry. Then arrow over to L2 and enter all the y values. When you are done, hit "stat" again, then "calc" and choose 4 LinReg, then hit enter. If you do not see the r and r-squared values, then you need to turn on your diagnostics. To do this, hit 2nd, then 0 to pull up your catalog. Hit the 
button and that brings up all the D's in your catalog. Arrow down til you see "DiagnosticsOn" and hit enter. Then hit enter again. Go back to "stat", "calc", "4 LinReg" and hit either enter or calculate (it depends upon which calculator you have. The TI 83 just needs the "enter" button, while the TI84 family requires that you scroll down to the word "calculate" and hit "enter"). Then when the linear regression equation comes up, you will see underneath it both the correlation coefficient (r) and the coefficient of determination (r-squared). You should see that your r value is .84 for this data set. Just so you know, r can be negative, but r-squared never will be.
Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
They are about 27 percent that are not seniors
Answer: 480 in^3
Step-by-step explanation:
v= l * w*h
v = 12 * 8 * 5
v= 480
