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Question 1161504: A bicyclist is competing in a tournament. He is currently in a very hilly part of the tournaments cour. For his current hill, his height in meters over time in minutes is modelled by the function f(x)=-0.00075x^2 - 0.5825x + 17.269 determine the bicyclists instantaeous rate of change at x = 100 round you answer to 3 significant figures.
Click here to see answer by MathLover1(20849)  |
Question 1161504: A bicyclist is competing in a tournament. He is currently in a very hilly part of the tournaments cour. For his current hill, his height in meters over time in minutes is modelled by the function f(x)=-0.00075x^2 - 0.5825x + 17.269 determine the bicyclists instantaeous rate of change at x = 100 round you answer to 3 significant figures.
Click here to see answer by ikleyn(52747)  |
Question 1161511: Which set of values for x should be tested to determine the possible zeros of
x^3 - 2x^2 + 3x - 12
a) 1, 2, 3, 4, 6, and 12
b) ±2, ±3, ±4, ±6, and ±12
c) ±1, ±2, ±3, ±4, and ±6
d) ±1, ±2, ±3, ±4, ±6, and ±12
Click here to see answer by ikleyn(52747)  |
Question 1161613: A ball of mass 0.440 kg moving east (+x direction) with a speed of 3.80 m/s collides head-on with a 0.220 kg ball at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision?
Show full work
Click here to see answer by solver91311(24713)  |
Question 1161889: You just have received your score in a language aptitude test. If your score was 82 and the mean score on the test was 73 and a standard deviation of 5,What is your standard score? Assume that the test are normally distributed, how does your score compare with the distribution of all test scores? If you also scored 82 in math aptitude test but mean score of 75 with standard of 7, in which course you perform better?
Click here to see answer by solver91311(24713)  |
Question 1162208: Daniel does a cannonball into the water. He hits the water with a speed of 12.0 m/s. The buoyant force of the water causes a constant acceleration of 8.00 (m/s)/s. This slows him down until he stops. Then, it pushes him back to the surface. How long is he under the water?
Click here to see answer by Alan3354(69443)  |
Question 1162208: Daniel does a cannonball into the water. He hits the water with a speed of 12.0 m/s. The buoyant force of the water causes a constant acceleration of 8.00 (m/s)/s. This slows him down until he stops. Then, it pushes him back to the surface. How long is he under the water?
Click here to see answer by ikleyn(52747)  |
Question 1162199: Crystal is taking out an amortized loan for $16,000 to remodel parts of her home. Find the monthly payment if the loan is taken at 4% interest compounded monthly and she has agreed to pay it back over 8 years.
Click here to see answer by Theo(13342)  |
Question 1162283: A quality-control procedure for testing digital cameras consists of drawing two cameras at random
from a lot of 100 without replacing the first camera before drawing the second. If both are defective,
the entire lot is rejected. If the lot contains 10 defective cameras, assume that each camera in the
lot has an equal chance of being drawn. Answer the following questions.
a) Find the probability of getting a defective camera on the first draw. (2 marks)
b) List TWO possible events from the experiment. (4 marks)
c) Draw a well-labelled tree diagram to show the all the joint probabilities. (10 marks)
d) Are the event “first camera drawn is defective” and the event “second camera drawn is
defective” mutually exclusive? Justify your answer. (3 marks)
e) Are the event “first camera drawn is defective” and the event “second camera drawn is
defective” independent or not? Justify your answer. (5 marks)
f) Use the appropriate multiplication rule to obtain the probability that the entire lot being
rejected. (3 marks)
g) If one of the cameras drawn is defective, then another two cameras will be drawn from the
second lot. Find the probability that the two cameras will be drawn from second lot of 100
cameras. (3 marks)
Click here to see answer by Boreal(15235)  |
Question 1162207: One fine winter morning, you are walking your dog,Tootsie, in the park. Tootsie sees a cat. For the first 10.0 seconds, you hold the leash as tight as you can, and you manage to keep Tootsie in one spot. Then, Tootsie gets loose. He accelerates at 4.21 (m/s)/s. He reaches his maximum speed of 421.7 m/min. Then, Tootsie collides with the cat. The collision causes him to slow down at a rate of 3.50 (m/s)/s until he finally stops. Calculate the distance travelled by Tootsie from the time he saw the cat to the time he finally stopped. (Assume acceleration is constant.)
Click here to see answer by Alan3354(69443)  |
Question 1162327: The following information was obtained from a survey of 500 undergraduates in the School of
Business Studies at a college.
-----------------------------Major--------------------------
Gender/-------Accounting(A)--Management(Ma)-Finance(Fi)
Male(M)-------------80----------150---------------------30
Female(F)----------120-----------50---------------------70
a) What is the probability that a randomly selected student is male? (3 marks)
Click here to see answer by solver91311(24713)  |
Question 1162427: Sketch the situation if necessary and use related rates to solve.
A 5 ft tall person walks toward a wall at a rate of 4 ft/s. A spotlight is located on the ground 40 ft from the wall.
a) How fast (in ft/s) does the height of the person's shadow on the wall change when the person is 5 ft from the wall?
b) What is the rate (in ft/s) at which the shadow changes when the person is 5 ft from the wall, if the person is walking away from the wall at a rate of 4 ft/s?
Note: part b is the hardest for me, would you please explain it to me. Thank you!
Click here to see answer by KMST(5328)  |
Question 1162448: A sailor is sailing around three islands. She travels 2.6 km from Island A to Island B. She then turns 55 º and travels 2.9 km to island C. How long is the last leg of the trip from Island C to Island A?
a. 8.5 km
b. 2.6 km
c. 2.9 km
d. 1.3 km
Click here to see answer by Alan3354(69443)  |
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