Discoverand Master Vectors Solutions
Write in words how to read each of the following:
{x∈I ├|0<x<1┤}
{x∈R├|x≤0 or x≥1┤}
Write in words how to read each of the following:
{x∈I ├|0<x<1┤}
{x∈R├|x≤0 or x≥1┤}
The symmetric difference of A and B, denoted by A B, is the set containing those elements in
either A or B, but not in both A and B.
a) Find the symmetric difference o f { 1, 3 , 5 } and { 1, 2, 3 } .
b) Determine whether the symmetric difference is associative; that is, if A, B, and C are sets, does it follow that
A (B C) = (A B) C?
The symmetric difference of A and B, denoted by A B, is the set containing those elements in
either A or B, but not in both A and B.
a) Find the symmetric difference o f { 1, 3 , 5 } and { 1, 2, 3 } .
b) Determine whether the symmetric difference is associative; that is, if A, B, and C are sets, does it follow that
A (B C) = (A B) C?
describe the motion of the particle if normal component of acceleration is 0
vv
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car.
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car.
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car
vv
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car.
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car.
A second hand car dealer has ten cars for sale. He decides to investigate the link between the
ages of the cars, x years and the mileage, y thousand miles. The data collected from the cars
are shown in the table below.
Age, x years
2 2.5 3 4 4.5 4.5 5 3 6 6.5
Mileage, y thousand miles
22 34 33 37 40 45 49 30 58 58
(a) Construct a well labeled scatter diagram in the graph paper provided to present the
information. (3 marks)
(b) Find Sxx and Sxy. (3 marks)
(c) Find the regression equation in the form y = α + βx. (4 marks)
(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line
appropriately. (2 marks)
(e) Give a practical interpretation of the slope β. (1 mark)
(f) Using your answer in (c), fifind the mileage for a 6 year old car
the failure of certain electronic device is suspected to increase linearly with its temp .Fit atleast regression line throgh the following data Temp 55 65 75 85 95 105Failure Rate 1.90 1.93 1.97 2.00 2.01. 2.01
Identify each of the following functions as exponential growth or decay y=39(0.98)^t
Find the expected count and the contribution to the chi-square statistic for the (Treatment, Disagree) cell in the two-way table below.
Strongly Agree
Agree
Neutral
Disagree
Strongly Disagree
Control
35
48
3
14
9
Treatment
56
43
11
5
0
Find the expected count and the contribution to the chi-square statistic for the (Treatment, Disagree) cell in the two-way table below.
| Strongly Agree | Agree | Neutral | Disagree | Strongly Disagree | |
|---|---|---|---|---|---|
| Control | 35 | 48 | 3 | 14 | 9 |
| Treatment | 56 | 43 | 11 | 5 | 0 |
The Smithson family is going to visit family in California for spring break. They plan to spend 1/3 of their time fishing, 1/4 of their time swimming. 1/4 of their time just relaxing, and the rest of their time at an amusement park. Approximately what fraction of time will the Smithson family spend at the amusement park?
What percentage of time will the Smithson family spend doing water sports? Round to the nearest whole number.
If the Smithson family wanted to spend 50% of their time relaxing, which activity or activities should they give up? List all possible choices and/or combinations, including those that would allow for nearly 50% relaxation.
a 5kg block rest on the 30degree incline. the coefficient of static friction between the block and the incline is 0.2 . how large a holizontal force must push on the block if the block is to be on the verge of sliding (a) up the incline ,(b) down the incline
Find the Laplace transform of the following function using the properties and table of laplace f(t) = 2δ(t − 1)
Convert the following readings of pressure to kPa assuming that
barometer reads 760 mm of Hg. Assuming density of Hg, ρHg= 13.596 × 1000 kg/ m3
1. 80 cm of Hg
2. 30 cm Hg vacuum
3. 1.35 m H2O gauge
4. 4.2 bar.
In Exercises 3–12, determine whether each set equipped with the given operations is a vector space. For those that are not vector spaces identify the vector space axioms that fail.
The set of all pairs of real numbers of the form (x, y), where , with the standard operations on .
Excellent website by the way, but my only issue, is when i try calculating with the square root its give me a different value. And it is physic .
Suppose that U and W are subspaces of a vector space V . Prove that if W is subset of U, then
U +W = U.
A local university football team has ordera national power to next yerar’s schedule.the order team has agreed to play the game guaranteed fee of $100000 .plus 25 percent of the gate receipts .assume the ticket price is $ 12 . (a) determine the number od tickets which must be sold to recover the $ 100000 guarantee. (b) if college official hope to net a profit of $2400000 from the game how many tickets must be sold .(c) if a sellout of 50000 fans is assured , what ticket price would allow the university to earn the desired profit of $ 240000. ( d) assuming a total sell out , what would total profit equal if the the $ 12price is charged.
elbluffz1 2022-01-24Let say K and L are two different subspace real vector space
V. If given
