Question
In: Math
Can you find two sets of vectors (2 red and 2 blue) in the xyxy-plane for...
Can you find two sets of vectors (2 red and 2 blue) in the xyxy-plane for which the cross product of one pair is in the positive zz-direction and the cross product of the other is in the negative zz-direction, but the angle between each pair of vectors is the same? (Give an example or explain why this is not possible).
Solutions
milcah answered 2 years agoRelated Solutions
Find Cartesian equation of a plane through the point a and parallel to the given vectors...
Find Cartesian equation of a plane through the point a and
parallel to the given vectors p and q.
a = (1, - 1, 3) , p= ‹2, -1, 0›, q= ‹2, 0, 6›.
(11 marks) In a box of 5 balls, 2 are red and 3 are blue. Two...
In a box of 5 balls, 2 are red and 3 are blue. Two
balls are randomly selected (without replacement). Let X be the
number of red balls in the two selected balls.
a. Find the probability distribution of X (i.e., list
all possible values of X and their corresponding
probabilities).
b. Find the expected value and the standard deviation
of X.
2. Suppose that a box is known to contain 50 red and 25 blue marbles. Two...
2. Suppose that a box is known to contain 50 red and 25 blue
marbles. Two marbles are to be drawn in succession. The first
marble is set aside and its color noted. It is not placed back into
the box before the second marble is drawn.
a. Sketch a probability tree which represents this
situation.
b. What is the probability that the second marble is red, if the
first marble is red?
c. If the second marble is blue,...
An urn has 2 red, 5 white, and 4 blue balls in an urn and two...
An urn has 2 red, 5 white, and 4 blue balls in an urn and two
are drawn one after another without replacement. What is the
probability that the two balls are both red given that they are the
same color?
You have 2 fair six-sided dice: one that is red and one that is blue. You...
You have 2 fair six-sided dice: one that is red and one that is
blue. You conduct a random experiment by rolling the red die first
and then rolling the blue die. Use this information and answer
questions 2a to 2e.
2a) Determine whether following statements are outcome or
event.
You roll a red 1 and blue 3.
You roll a red 2 and blue 5.
The sum of two dice is greater than 9.
2b) How many outcomes are there...
Find the mass of the solid bounded by the ??-plane, ??-plane, ??-plane, and the plane (?/2)+(?/4)+(?/8)=1,...
Find the mass of the solid bounded by the ??-plane, ??-plane,
??-plane, and the plane (?/2)+(?/4)+(?/8)=1, if the density of the
solid is given by ?(?,?,?)=?+3?.
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person
is asked to randomly pick 5 of them. Let X1 and
X2 denote the blue and red gemstones respectively, find
the following:
E[X1|X2]
E[3X12X2-X1X2]
Are X1 and X2
independent?
Let R be a region given by
(X1+X2≤3)
,
determineP(X1,X2
ϵ R]
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person
is asked to randomly pick 5 of them. Let X1 and
X2 denote the blue and red gemstones respectively, find
the following:
The joint probability mass function (PMF) of X1 and
X2, i.e.,
pX1X2(x1,x2)
Marginal PMFs of X1 and X2, i.e.,
pX1(x1)
and
pX2(x2)
Determine the first order moments of both X1 and
X2
E[X1|X2]
E[3X12X2-X1X2]
Are X1 and X2
independent?
Sam's Dog toys sells a Red toy and a Blue toy. The contribution margin for the Red toy is $2 and for the Blue toy is $3
Sam's Dog toys sells a Red toy and a Blue toy. The contribution
margin for the Red toy is $2 and for the Blue toy is $3. The
expected sales mix is 80% for Red toy and 20% for Blue toy. The
total fixed costs amount to $2,112 and the company desires to earn
a profit of $264. What is the sale volume in units necessary to
reach the desired profit?1,056 total units960 total units120 total units1,080 total units
What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?
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