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Consider a population consisting of the values (1, 3, 8), n= 2 with replacement.

  1. Identify the probability of each sample

The time taken to assemble a car in a certain plant is a random variable having a normal


distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a


car can be assembled at this plant in a period of time less than 19.5 hours?

x>0, n>=1, prove that 1 + x + x2 + .....+ x2n >= (2n+1)xn

Consequences of Unemployment and then respond to the following:

Based on your own life observations, identify one personal and one social consequence of unemployment in your country or society. What role, if any, do you believe the government should play to reduce negative consequences


1. If a population has a mean of 5.7, what is the mean of the sampling distribution of its means?

Implement a class that realizes linked lists consisting of nodes with integer values.a) bool isEmpty(); b) int length(); returns the number of nodes in the list, which is 0 for the empty list. c) void print(); print the content of all nodes. d) void addAsHead(int i); creates a new node with the integer and adds it to the beginning of the list. e) void addAsTail(int i); creates a new node with the integer and adds it to the end of the list. f) Node find(int i); returns the first node with val i. g) void reverse(); reverses the list. h) int popHead(); returns the value of the head of the list and removes the node, if the list is nonempty, otherwise returns NULL. i) void removeFirst(int i); removes the first node with val i. j) void removeAll(int i); removes all nodes with val i. k) void addAll(List l); appends the list l to the last element of the current list, if the current list is nonempty, or lets the head of the current list point to the first element of l if the current list is empty.


You are standing on a sheet of ice on a skating rink and your mass is 68.00 kg. Your 70.0 kg friend throws you a 0.450 kg ball that is travelling horizontally at 9.00 m/s. (a) If you catch the ball, with what speed do you and the ball move afterward? (b) If the ball hits you and bounces of your chest that it moves 7.50 m/s horizontally in the opposite direction, what is your speed after the collision?


Cars are equipped with flexble bumpers, so that they will bounce off each other during low-speed collisions. In one particular accident, an 1800 kg car traveling at 1.60 m/s to the left collides with a 1300 kg car that is moving at 1.25 m/s to the right. If the lighter car moves at 0.520 m/s to the left just after the collision and ignoring any road friction, (a) what is the speed of the heavier car just after the collision? (b) What is the change in the combined kinetic energy of the two-car system during this collision?

A 65.0 kg astronaut is doing a repair in space on the orbiting space station. The astronaut throws a what 2.50 kg toolbox away from him at 3.50 m/s to the space station. (a) With what speed and in direction will he begin to move? (b) How much kinetic energy does the astronaut create by this maneuver?

Write a program to enter a number that should be less than 100 and greater than 9.



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