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.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.