Inthe picture below, the blue and red crosspieces of the kite areperpendicular. The length...
In
the picture below, the blue and red crosspieces of the kite are
perpendicular. The length of the horizontal red crosspiece is 3/2
times the length of a side, or 3/2s. What is the length if the
vertical blue crosspiecein terms of s?
Fill out the table below. Be sure to use a
different font color (red or blue are great). Include the following
types of microbes: Algae, Archaea, Bacteria, Fungi, Helminths,
Protists, and Viruses.
Type of Microbe
Domain
Eukarya
Cell type
prokayotic
acellular
eukaryotic
Organization
unicellular
Multicellular (except yeast)
multicellular
Cell Wall (y/n)
Type of material
cell wall w/o peptidoglycan
No
Nutrition
Intracellular parasites
heterotrophic
Autotrophic
Example(s)
E. coli
Flatworms
Roundworms
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
A couple must decide between a blue house and a red house. To
purchase the red house they must tae a $155000 mortgage to be
repaid over 20 years, interest rate is given as j2 = 7.8%. To
purchase the blue house, they must take a mortgage to be repaid
over 25 years at interest rate given as j12 - 8%. Both of those two
mortgages have semi-annual payments and the semi annual mortgage
payments are equal.
(a) Determine the...
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 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?
Suppose that we have a red coin and a blue coin. The red coin
has probability pR = 0.1 of landing heads, and the blue coin has
probability pB = 0.2 of landing heads.
(a) Write R code to generate a sequence of coin tosses, starting
with the red coin, and switching coins every time a coin lands
heads.
(b) Generate 1000 such sequences, each consisting of 1000 coin
tosses, and use them to construct a plot of the 2.5%,...
A study of the effect of exposure to color (red or blue) on the
ability to solve puzzles used 42 subjects. Half the subjects (21)
were asked to solve a series of puzzles while in a red-colored
environment. The other half were asked to solve the same series of
puzzles while in a bluecolored environment. The time taken to solve
the puzzles was recorded for each subject. Due to the association
of urgency with red, researchers believe those exposed to...
A study of the effect of exposure to color ( red or blue) on the
ability to solve puzzles used 48 subjects. Half the subjects were
asked to solve a series of puzzles while in a red-colored
environment. The other half were asked to solve the same series of
puzzles while in a blue-colored environment. The 24 subjects in the
red-colored environment had a mean time for solving the puzzles of
9.65 seconds with standard deviation 3.47 ; the 24...