MATH QUIZ 3 - PART 2 Flashcards
From the following tabulation, calculate the correlation coefficient between X and Y:
X 81.5, 85.5, 89.1, 92.0, 98.4, 105.2
Y: 4.4, 8.0, 10.5, 8.7, 12.2, 14.9
0.9470
There are 100 random samples were taken from the large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows:
45 measurements were between 0.85 and 0.900
0.901 was observed once
0.902 was observed three times
0.903 was observed twice
0.904 was observed four times
The smallest value was 0.859 and the largest value was 0.958.
The Sum of all the 100 measurements was 91.170. Except for those noted, no measurements occurred more than twice.
What is the mean of the given problem above?
0.9117
From the following tabulation, calculate the correlation coefficient between X and Y:
X: 81.0, 84.9, 88.7, 92.8, 99.8, 105.3
Y: 4.9, 85, 10.5, 8.2, 12.0, 14.7
-0.2888
From the following tabulation, calculate the correlation coefficient between X and Y:
X: 80.6, 85.0, 88.3, 93.7, 98.9, 105.8
Y: 4.4, 8.2, 106, 8.3, 129, 14.5
0.2240
What is the sample variance of the following numbers? 2,4,6,8,10,12,14
18.7
If the variable X has a Poison distribution with parameter λ, what is the expected value of X?
λ
From the following tabulation, calculate the correlation coefficient between X and Y:
X 80, 84, 88, 92, 98, 104
Y: 4, 8, 10, 8, 12, 14
0.9217
If two random variables are independently distributed, what is their relationship?
They are uncorrelated
A block weighing 500 kN rests on a ramp inclined at 25 deg with horizontal. Determine the force tending to move the block down the ramp.
211 kN
A particle whose curvilinear motion is represented by the equation:
S = 20t + 4t2 - 3t3. (Please indicate the unit: m/s^2)
b. What is the particle’s acceleration at t = 0?
8.0 m/s^2
A stone is dropped down a well. 2.47 sec after the stone is released, a splash is heard. If the velocity of sound in air is 342 m/s, find the distance to the surface of the water in the well.
28 m
A Wheel with a radius of 80 cm rolls along a flat surface at 3 m/s. If arc AB on the wheel’s perimeter measures 90 deg, what is the velocity of point A when point B contact the ground?
3.75 m/s
A water reservoir of 24 m high and 12 m in diameter is to be completely filled with water. Find the minimum thickness of the reservoir plating if the stress is limited to 50 MPa.
28.25 mm
A particle whose curvilinear motion is represented by the equation:
S = 20t + 4t2 - 3t3. (Please indicate the unit: m/s)
c. What is the particle’s maximum speed?
21.8 m/s
A particle whose curvilinear motion is represented by the equation:
S = 20t + 4t2 - 3t3. (Please indicate the unit: m/s)
a. What is the particle’s initial velocity?
20 m/s
