An article measured speeds of vehicles on several roads in the state of kansas. on south cedar niles, 73 vehicles were observed, and 49 of them were exceeding the speed limit. can you conclude that more than half of the vehicles on south cedar niles exceed the speed limit? find the p-value and state a conclusion.

The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.

p-value = 0.00092

Step-by-step explanation:

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis

Sample size (n) = 73

Sample proportion (p) = 49/73 = 0.6712

H0:

Ha:

Test statistic =

Calculated statistic =

p-value = 0.00092

Since, p - value is less than or equal to 0.05, the null hypothesis must be rejected. The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.

on friday there were 15 birds

(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