A can has a volume of 791.28 cubic inches and a height of 7 inches. What is the radius of the can to the nearest whole inches?
1. A can is typically cylinder shaped so we can use the equation of the volume of a cylinder to fill in what we know. The volume of a cylinder = πr^2h. (r is radius, h is height) 2. Now, we can fill in what we know. V = 791.28. h = 7. So the equation is applied to the question would be 791.28 = πr^2(7). 3. Divide 791.28 by 7π to isolate the r^2. 4. Results should be about r^2 = 36. 5. The square root of 36 is 6. So r, the radius, equals 6 inches.
Explain the hindsight bias.
The tendency for people to exaggerate their ability to foresee past outcomes. Ex: People might say that they already knew who the winner of the election was gonna be AFTER the election ended and results have been revealed.
The area of a rectangle is x^2-x-2. If one side of the rectangle has a length of x+1 meters, give the second side in terms of x, where x is a positive number.
1. We know the equation to the area of a rectangle is one side multiplied by its perpendicular side. We can use that information to find the second side of this rectangle. 2. I placed another variable in substitute of the second side (I called it "n"). So the first side would be x+1 as given by the question and the second side would be n. 3. Therefore, x+1 times n would equal the area of the rectangle, which is x^2 - x - 2. 4. In order to find n, the second side, we would divide x+1 from x^2 -x -2 using long division. 5. The result should be x - 2 which is the second side of the rectangle.