A bullet will hit a target which is a circle with radius of 20 meter. If...

A bullet will hit a target which is a circle with radius of 20 meter. If the bullet assumed hit the circle and the probabilty of it to hit all points in the circle is the same. What is the probability of the bullet to hit the target at the area with the distance of 2 meter from the center of the circle to the west and east AND 3 meter from the center of the circle to the north and south?

Expert Solution

Figure below shows the circle of radius 20 metres and the elliptical region where the bullet has to hit. The hitting region forms an ellipse with major axis 3+3 = 6 metres and minor axis 2+2 = 4 metres.
The area of elliptical region: , where a = 2, and b = 3
Area of elliptical region =
Area of circle = , where r = 20
Area of circle =
So, probability of bullet hitting the elliptical region =

orchestra answered 2 years ago

Alvin throws darts at a circular target of radius r and is equally likely to hit...

Alvin throws darts at a circular target of radius r and is equally likely to hit any point in the target. Let X be the distance of Alvin's hit from the center. (a) Find the PDF, the mean. and the variance of X. (b) The target has an inner circle of radius t. If X ? t, Alvin gets a score of S = 1/ X. Otherwise his score is S = O. Find the CDF of S. Is S...

A bullet is fired horizontally at a stationary 7.0 kg target. The target sits on a...

A bullet is fired horizontally at a stationary 7.0 kg target. The target sits on a frictionless horizontal surface and is connected to a spring on the backside of the target. The spring has a spring constant of 5000 N/m. The 11.0 g bullet is traveling horizontally at 675 m/s the moment before it strikes the target. After 1 ms, the bullet is embedded into the target and begins to oscillate. Ignore air resistance. (a) Determine the speed of the...

If a circle C with radius 1 rolls along the outside of the circle x2 +...

If a circle C with radius 1 rolls along the outside of the circle x2 + y2 = 36, a fixed point P on C traces out a curve called an epicycloid, with parametric equations x = 7 cos(t) − cos(7t), y = 7 sin(t) − sin(7t). Graph the epicycloid. Find the area it encloses.

A circle of radius r has area A = πr2. If a random circle has a...

A circle of radius r has area A = πr2. If a random circle has a radius that is uniformly distributed on the interval (0, 1), what are the mean and variance of the area of the circle? Change the distribution of the radius to an exponential distribution with paramter β = 2. Also find the probability that the area of the circle exceeds 3, if it is known that the area exceeds 2.

1) A circle of radius r has area A = π r2. If a random circle...

1) A circle of radius r has area A = π r2. If a random circle has a radius that is evenly distributed in the interval (0, 1), what are the mean and variance of the area of the circle? choose the correct answer A) 1/3 and 1/12 B) Pi/3 and 1/12 C) Pi/3 and 1/5 D) Pi/3 and (4/45)*Pi^2

Write c code program for the following Write a function, circle, which takes the radius of...

Write c code program for the following Write a function, circle, which takes the radius of a circle from the main function and assign the area of the circle to the variable, area, and the perimeter of the circle to the variable, perimeter. Hint: The function should have three variables as input. Since the contents of the variables are to be modified by a function, it is necessary to use pointers. Please type out the full usable program. Thank you.

a- If the radius r of a circle is measured to be r  0.325 +\-...

a- If the radius r of a circle is measured to be r  0.325 +\- 0.001 m, then calculate the area of the circle A =  3.14r 2 , as well as the uncertainty in the area. b-Explain the difference between precision and accuracy. c-Do systematic errors affect precision or accuracy? Do random errors affect precision or accuracy?

A ball is hit east from a 10 meter elevated platform with an initial velocity of...

A ball is hit east from a 10 meter elevated platform with an initial velocity of <50, 0, 30> m/s. A wind blowing to the south produces an acceleration on the ball of -1.2 m/s^2. a. Find the velocity and position vectors for t ≥0. b. Determine the time of flight and range of the ball. c. Determine the maximum height. d. If you want the ball to land due east of your initial position, determine the correction angle.

Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a...

Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a picture.

Circle Class Write a Circle class that has the following member variables: • radius: a double...

Circle Class Write a Circle class that has the following member variables: • radius: a double • pi: a double initialized with the value 3.14159 The class should have the following member functions: • Default Constructor. A default constructor that sets radius to 0.0. • Constructor. Accepts the radius of the circle as an argument. • setRadius. A mutator function for the radius variable. • getRadius. An accessor function for the radius variable. • getArea. Returns the area of the...

Question