A college student recently purchased a multiplayer video game. Before playing, the college student looked up statistics on how fast gamers were completing the full playthrough of the game. Of the 500 players that have completed the game, 331 of them completed the full game in less than 49 minutes. Use Excel to determine the probability that in a sample of 45 games, 30 or fewer of them were completed in less than 49 minutes. Round your answers to two decimal places.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

6 cm

step-by-step explanation:

you need to rotate this triangle about the origin 270 degrees clockwise to create the full square.

=

x=0.8898305 is the answer to that equation