Answer:
a = -6
Cov (2X+Y, 3X-4Z) = 30
Step-by-step explanation:
Key points:
Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
⇒ a = -6.
(c)
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.
Calculation of the value of a and cov:Since
Cov (aX, bY) = a·b·Cov (X, Y)
Cov (X, X) = V (X)
Cov (X, a) = 0
In the case when X and Y are independent so Cov (X, Y) = 0.
Now
Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
a = -6.
(c)
here
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.
V (X) = V (Y) = V (Z) = 5
So,
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
Learn more about variance here: https://brainly.com/question/24138432
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
r(x) = 0.05(x^2 + 1)(x - 6)
Consider the graph of function r.
Function r has (blank) and (blank). Based on the instantaneous growth rate, the population decreased (blank) hours and the population increased (blank) hours.
Answer:
Decreased 4 days-96 hours
Increased 6 days-144 hours
Step-by-step explanation:
In order to solve this you just have to look at the graph and after the start of the experiment which is basically the origin of the graph and as you can see immidiately goes down after the start and it reaches the turning point in the day four which is when the graph starts to go up in the Y axis, so that day it would start the increase, and it increases from day 4 to 10 that would be 6 days, and the decrease would be from the origin to day 4.
The following is the correct way to show the product for 0.297×7.1:
Answer:
2.1087
Step-by-step explanation:
0.297
7.1 +
2.1087
Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)
Answer:
You distribute then combine
your answer is -52u+16
Step-by-step explanation:
At Nancy's Newsstand, 3 magazines cost $18.00. How many magazines could you buy with $72.00?
Answer:
12
Step-by-step explanation:
if 3 magazines = $18
$72/$18 = 4 sets of 3
4 x 3 = 12 magazines
Please help, I'm not sure how to do this one!
The average teacher salary in a certain state is $52,300. If the standard deviation is $8,260, find the standard score for the following teacher salaries.
Teacher A: $56,236
Teacher B: $36,875
1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."
Answer:
3x+3
Step-by-step explanation:
The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."
Let the first integer is x.
Next consecutive integer of x = x+1
Other next consecutive integer of x+1 = x+1+1=x+2
ATQ,
The expression is :
=x+x+1+x+1+1
=3x+3
A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer:
42
Step-by-step explanation:
168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.
The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer:
(4, 7)
Step-by-step explanation:
Given that:
Midpoint of AB = M(3, 3)
Coordinate of A = (2, - 1)
Let coordinates of B = (x, y)
Recall :
Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]
Mx = (Ax + Bx) / 2
My = (Ay + By) / 2
Mx = 3
Mx = (Ax + Bx) / 2
3 = (2 + x) / 2
2*3 = 2 + x
6 = 2 + x
6 - 2 = x
4 = x
My = 3
My = (Ay + By) / 2
3 = (-1 + y) / 2
2*3 = - 1 + y
6 = - 1 + y
6 + 1 = y
7 = y
Hence,
B = (4, 7)
Write the equation of the line the that is parallel to 21x-7y=12 and goes through the point (1, -3).
1. Compare using >,<, or =. d. 24 tenths ______2.5
Answer:
<
Step-by-step explanation:
[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]
Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality
Answer:
Reflexive postulate of equality
Step-by-step explanation:
Given
[tex]5 = 5[/tex]
Required
Which option answers the question
From the list of given options, the correct answer is: reflexive postulate of equality
This is so, because:
Reflexive postulate of equality implies that: [tex]a = a[/tex]
So, take [tex]a = 5[/tex]
This gives:
[tex]a = a[/tex]
[tex]5 = 5[/tex]
Hence:
Reflexive postulate of equality answers the question
The function h is defined by h(x)= 2x^2+3. find h (3z).
h(3z) = 2(3z)^2 + 3 = 18z^2 + 3
h(3z) is equal to 18z² + 3
To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).
h(3z) = 2(3z)² + 3
Simplifying this expression, we have:
h(3z) = 2(9z²) + 3
h(3z) = 18z² + 3
So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.
The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.
Learn more about function here
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Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Evaluate 9sigma n=5 3n+2
Answer:
17
Step-by-step explanation:
make me as brienliest
what is the sum of all even integers between 9 and 39?
Answer:
360
Step-by-step explanation:
10+12+14+16+18+20+22+24+26+28+30+32+34+36+38=360
it is very easy
hope it helps you
(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)
Answer:
If i´m correct and read the answer correct it should be:
-18x³+80x²+65x+5
Step-by-step explanation:
Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.
PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X
Answer:
(x + y)/x is greater than x/(x + y)
Step-by-step explanation:
Given.
x > y
y > 0
Required
Which is greater?
x/(x + y) or (x + y)/x
Since x is greater than y & y > 0
Then definitely,
x + y > x
By the above analysis:
(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)
While
x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.
All improper fractions are greater than all proper fractions,
Hence:
(x + y)/x is greater than x/(x + y)
To further explain this:
Take
x = 3 and y = 2
x/(x + y) = 3/(3 + 2) = 3/5 = 0.6
(x + y)/x = (3 + 2)/3 = 5/3 = 1.67
See that (x + y)/x is greater than x/(x + y)
And this is so for all values of x and y
Where x > y and y > 0
Answer:
is less than
Step-by-step explanation:
Which type of data would be BEST displayed in a dot plot?
Answer:
Fourth Option
Step-by-step explanation:
multiply
97.062x12.5
Answer:
1213.275
or
48,531/40
One lap around the track at Kathleen’s school is 0.4 kilometer. If Kathleen ran 3.5 laps, how many kilometers did she run?
Answer:
Kathleen ran 2 3/16miles
Answer:
The correct answer is option B
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answer:
P[2qp] = 0,467 or 46,7 %
Step-by-step explanation:
The probability of two of seven chemistry professors is equal to:
P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore
The total quantity of combinations is:
3 statistics professors + 7 chemistry professors taken in groups of 2 that is:
Te = (3 + 7) ! / 2!*(10-2)!
Te = 9!/ 2!*5! ⇒ Te = 9*8*7*6*5!/2!*8! ⇒ Te = 9*8!/2*8!
Te = 45
And successful events are:
C₇,₂ = 7!/2!*(7-2)!
C₇,₂ = 21
Finally, the probability that both professors are chemistry professors is:
P[2qp] = 21/45
P[2qp] = 0,467 or 46,7 %
The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Three statistics professors and seven chemistry professors are available to be advisors to a student organization.
The student organization needs two of the professors to be advisors.
If each professor has an equal chance of being selected.
The probability that both professors are chemistry professors will be
The total quantity of combinations will be
[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]
And successfull events will be
[tex]\rm F = \ ^7C_2 = 21[/tex]
Then the probability will be
[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist
Answer:
18
Step-by-step explanation:
You would divide 48 by 8 and multiply it by 3. Otherwise, you could do
3/8 = x/48
x * 8 = 3 * 48
x * 8 = 144
/8 /8
x = 18
the average or the blank is the blank divided by the blank or the amount of numbers being divided is what
Answer:
Numerrator is the denominator divieded by the other equations is the sum.
Step-by-step explanation:
Hope I helped
what is 20 1/6% as a fraction
Answer:
1.6
Step-by-step explanation:
1 x 20
6 x 1
=
20
6
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.
We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.
20/2 = 10
6/2 = 3
10/3
The complete and simplified answer to the question what is 1/6 of 20 is:
3 1/3 = 1.6
so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6
why are these similar or not similar
Answer:
not similar
Step-by-step explanation:
PLS HELP MARKING BRAINLY ASAP!!!!!!!!!!!!!!!!!!
first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.
next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.
Can you help me please
Find the exponential function evaluate of
Y=2.5x
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2.52.5
y-intercept: (0,0)
x y
0 0
1 2.5
丼
Question:
7x^2 + 8x = x^2
Answer:
x1= -4/3 and x2= 0
Step-by-step explanation:
