You throw a dart at the region defined by the lines y = 0, y = 2x, and x = 1. Let X assign the x coordinate to the point at which the dart hits. Find E[X].
9. You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. What is the probability your dart lands in the yellow region? (TEKS G.13.B) 2 in. 2 in 2 in. F TT 36 G T 12 TT TT CH
Three lines are defined by the three equations: x + y = 0 x-y=0 2x+y=1 The three lines form a triangle with vertices at: O A. (0,0),(33), 1,-1) O B. (0,0), (17 2 ) (-1,-1) o C. (1,1), (1, -1), (2, 1) O D. (1,1),(3,-3), (-2,-1) THE CORRECT ANSWER IS: A y=-x y=x -2x + 1 y=-2x +1 intersection of y=x and y=-x is (0,0) intersection of y = x and y = -2x + 1 is x = -2x...
1. Bull's-Eye Bonanza. (Allotted Time 45 minutes) Suppose you want to throw a dart across a room at a wall-mounted target and hit the target exactly at its center point. We call this center point of the target its "bull's eye". The bull's-eye is a horizontal distance d from the dart's point of release and a height h above the dart's point of release. To hit the bul'seye, you have a choice of the speed s at which you throw...
Suppose you want to throw a dart across a room at a wall-mounted
target and hit the target exactly at its center point. We call this
center point of the target its “bull’s-eye”. The bull’s-eye is a
horizontal distance d from the dart’s point of release and a height
habove the dart’s point of release. To hit the bull’s-eye, you have
a choice of the speed v at which you throw the dart and a choice of
the angle θ...
Let R be the region bounded by y=x' and y=e" and vertical lines X= 0 and X=l as shown in the graph below. Which answer shows the correct integral to determine the volume of the solid when Ris revolved about the horizontal line y = 3? 0 218 xex-xlax or! [3–ex)2-(3-x2)?]dx . 163–x2)2-(3-em)?]dx 0215*3-vXV3 – Inw) ay o 2015 (57 - Incy)dy
Consider the region defined by the curves r = e, y=e, 2 = 0, and y = 0. HA pts Sketch the region defined above. HBS pts Find the exact volume of the solid generated by rotating the region about the y-axis. SOLUTION
differential equations proof please
Consider throwing a dart at the origin of the Cartesian plane. You are aiming at the origin, but random errors in your throw will produce varying results. We assume that: 1.) The errors do not depend on the orientation of the coordinate system. 2.) Errors in perpendicular directions are independent. This means that being too high doesn't alter the probability of being off to the right. 3.) Large errors are less likely than small errors. Let...
Please provide a brief but precise explanation of your
answers.
You throw a dart at a circular target of radius r. Let X be the distance of your dart's hit from the center of the target. Your aim is such that X is an exponential distribution with parameter 4/r (a) As a function of r, determine the value m such that P(X < m) = P(X > m). (b) What is the probability that you miss the target completely?
5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the region R (label lines, intercepts, axes and shade region) (b) SET UP the integral over this region (c) Assuming f(x.y)- xa is the density function for the lamina R given above, determine the mass for R
5) Given the function fix.y) - x2 and region R bounded by x 0, y x and 2x+y 6 (a) Sketch the...
Choose a point at random in the square with sides 0 <=x≤1 and ≤ y ≤ 1. This means that the probability that the point falls in any region within the square is the area of that region. Let X be the x coordinate and Y be the y coordinate of the point chosen. Find the conditional probability Pr(Y<1/3|Y>X). Hint Sketch the square and the events Y<1/3 and Y>X