The following dot plot summarizes the distance Roger ran in each of his tennis matches last month. Each dot represents one game. A dot plot has a horizontal axis labeled, Number of kilometers, marked from 3 to 7, in increments of 1. The number of dots above each value is as follows. 3,1; 4,2; 5,4; 6,0; 7,2. Based on this data, what is a reasonable estimate of the probability that Roger runs less than 5 km in his next tennis match? Get tutor help
In order to keep a malfunctioning satellite from falling into the earth, space agency officials decide to use a powerful rocket. At the time the rocket is attached, the satellite will be traveling with an initial velocity, v0, and for every second that the rocket fires, it will add approximately a meters per second (m/s2) to this velocity. In order to ensure safety on earth, the velocity must be increased to at least vf. Also, the rocket can fire for no more than tmax seconds. For the initial velocity of the satellite, v0, which of the following systems of inequalities best models this situation, where t is time, in seconds, after the rocket is first fired? Get tutor helpOn her way out of the toy store, Janelle stops to get 2 gumballs from the giant gumball machine. Her favorite flavor is blue raspberry, but only about 30% of the gumballs in the machine are blue. How likely is it that both of the gumballs Janelle gets will be blue? Janelle simulates the situation by putting 3 blue marbles and 7 yellow marbles in a bag. She picks a marble, then returns it to the bag, 2 times. Each time a blue marble appears, it represents a blue gumball. Janelle records the results by writing ＂B＂ for a blue marble and ＂Y＂ for a yellow marble. Here are the results of 20 trials: YY, YB, YY, YY, BY, YB, YY, BB, BY, YY, YY, YB, YY, YY, BY, YY, BY, YY, BY, YY Based on Janelle's results, what is the probability that both of the gumballs will be blue? Get tutor help
