What is the value of x? Enter your answer in the box. x =
2 answers:
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Answer:
1) Please find attached the distance and speed time graphs
2) Please find attached the distance time tables
3) The fastest runner is Jason, as shown by the topmost line in the graphs
4) On the tables Jason is seen to have covered 400 meters in one minute, while Patti covered 300 meters and Quincy covered in the same one minute time interval
Step-by-step explanation:
The given speed of the runners are;
The rate at which Patti ran = 300 meters in 60 seconds
The rate at which Jason ran = 500 meters in 1.25 minutes
The rate at which Quincy ran = 600 meters in 2 minutes and 30 seconds
The formula for speed is given as follows;
Speed = Distance ran/(Time to cover the distance)
Therefore, the speed of each of the runners are;
Patti's speed = 300 m/(60 seconds) = 300 m/(1 minute) = 300 m/min
Jason's speed = 500 m/(1.25 minute) = 400 m/min
Quincy's speed = 600 m/(2 minutes and 30 seconds) = 600 m/(2.5 minutes)
∴ Quincy's speed = 240 m/min
Therefore, we have
1) The distance and speed time graphs are attached
2) The distance time tables are attached
3) The fastest runner is Jason, as shown by the topmost line in the graphs
4) The fastest runner is Jason as seen by the covered distance of 400 meters in one minute.
Let P be the proportion of people who order coffee with their dinner . Let n be the sample size
P=0.9 and n=144
P follows Normal distribution .
a. The expected value is E(p) = P =0.9
Standard deviation =
=
Standard deviation = 0.025
The shape of sampling distribution is bell shaped symmetric about mean.
b. The probability that the proportion of people who will order coffee with their meal is between 0.85 and 0.875
P(0.85 < p < 0.875) =
= P(-2 < Z < -1)
= P(Z < -1) - P(Z < -2)
= 0.1587 - 0.0228
P(0.85 < p < 0.875) = 0.1359
The probability that the proportion of people who will order coffee with their meal is between 0.85 and 0.875 is 0.1359
c. the probability that the proportion of people who will order coffee with their meal is at least 0.945
P(p > 0.945) =
= P(z > 1.8)
= 1 - P(z < 1.8)
= 1 -0.9641
P(p > 0.945) = 0.0359
the probability that the proportion of people who will order coffee with their meal is at least 0.945 is 0.0359
