it is possible for e(xy ) = e(x)e(y ) even though x and y are dependent

(a) The correlation coefficient between 1/2y1 and 3/4y2 is 0.2. (b) The correlation coefficient between 1/2y1 and 3/-4y2 is -0.2. (c) The correlation coefficient between 1/-2y1 and 3/-4y2 is 0.2.

The correlation coefficient measures the linear relationship between two variables and takes values between -1 and 1. If the correlation coefficient is positive, then the variables tend to increase or decrease together, while a negative correlation coefficient indicates that the variables tend to move in opposite directions. In this problem, the correlation coefficient between y1 and y2 is given as 0.2.

To find the correlation coefficient between the given combinations of variables, we use the formula r_xy = cov(x,y) / (s_x * s_y), where cov(x,y) is the covariance between x and y, and s_x and s_y are their respective standard deviations. We also use the properties of covariance and standard deviation to simplify the calculations.

For example, for part (a), we have cov(1/2y1, 3/4y2) = (1/2)(3/4)cov(y1,y2) = (3/8)(0.2)(5)(5) = 1.5, and s_x = (1/2)(5) = 2.5 and s_y = (3/4)(5) = 3.75, so r_xy = 1.5 / (2.5 * 3.75) = 0.2. Similarly, we can compute the correlation coefficients for parts (b) and (c).

To learn more about standard deviations click here

brainly.com/question/23907081

#SPJ11

Answer:

3a^2 - 6b + 2ab

Step-by-step explanation:

Put all the like terms together

(4a^2 - a^2) - (7b + b) + 2ab

then simplify

(4a^2 - a^2) = 3a^2

(-7b + b) = -6b

then rewrite

3a^2 - 6b + 2ab

Answer:

3a^2 - 6b + 2ab

Step-by-step explanation:

Add like terms together so shifting the equation a little to make it easier to add:

4a^2 - 7b + 2ab - a^2 + b

4a^2 - a^2 - 7b + b + 2ab

3a^2 - 6b + 2ab

Answer:

6

Step-by-step explanation:

All triangles equal 180 degrees to this is what I did:

8x + 2 + 70 + 60 = 180

8x + 2 + 130 = 180

8x + 132 = 180

subtract 132 from each side

8x = 48

now divide each side by 8 to isolate the x

x = 6.

Answer:

102

Step-by-step explanation:

12+12=24

24+3=27

27+50=77

77+25=102

Answer:

102, you can use a calculator

To find a he correct points, I counted the units each point was from the line of reflection. The. I took that same number of points and did it to find the new point. D’ is at (5,2)   E’ is at (10,2)   F’ is at (10,-5)   And C’ is at (5,-5)

Answer:

4

Step-by-step explanation:

This expression is a difference of squares.

(√3 + i)(√3 - i) = (√3)²-(i)², which is

3 - (-1)

= 3 + 1

= 4

According to the trigonometric functions, the answer is A. StartFraction 12 Over 13 EndFraction.

What are trigonometric functions?

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of its sides. There are six primary trigonometric functions:

Sine (sin): the ratio of the opposite side to the hypotenuse of a right triangle.

Cosine (cos): the ratio of the adjacent side to the hypotenuse of a right triangle.

Tangent (tan): the ratio of the opposite side to the adjacent side of a right triangle.

Cosecant (csc): the reciprocal of the sine function, i.e. the ratio of the hypotenuse to the opposite side of a right triangle.

Secant (sec): the reciprocal of the cosine function, i.e. the ratio of the hypotenuse to the adjacent side of a right triangle.

Cotangent (cot): the reciprocal of the tangent function, i.e. the ratio of the adjacent side to the opposite side of a right triangle.

To find sin(K), we need to use the definition of sine which is the opposite side over the hypotenuse:

sin(K) = opposite / hypotenuse

In this case, the opposite side is LM and the hypotenuse is KM. We are given that KM = 13 and LM = 12, so we can plug these values into the formula:

sin(K) = 12/13

Therefore, the answer is A. StartFraction 12 Over 13 EndFraction.

To know more about trigonometric functions visit:

brainly.com/question/14746686

#SPJ1

Depreciation is the accountant's estimate of the cost of a capital asset used in the production process, which is allocated over its useful life based on the benefits it generates.

Depreciation is a concept in accounting that recognizes the gradual reduction in value or usefulness of a capital asset over time. When a company purchases a capital asset, such as machinery, equipment, or vehicles, it incurs a cost that is expected to be spread over the asset's useful life. This cost is allocated as an expense called depreciation. The purpose of depreciation is to match the cost of the asset with the benefits it produces during its useful life. The estimation of depreciation involves considering factors like the initial cost of the asset, its expected useful life, and its residual value (the estimated value at the end of its useful life). By spreading the cost of the asset over its useful life, depreciation helps in accurately reflecting the consumption of the asset's value in the production process and provides a more accurate representation of the company's financial performance.

Learn more about cost here: https://brainly.com/question/19261126

#SPJ11

Answer: 100. Can I get a Brainlest.

100 is the answer

Multiply.....

God Bless

The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

Learn more about pyramid

brainly.com/question/13057463

#SPJ11

2×6×15=180

Step-by-step explanation:

2×6=12

12×15=180

Answer:

3×6×10=180

Step-by-step explanation:

.............. there can be more than one right answer for this

Answer:

Step-by-step explanation:

The point-slope form of the equation of the line passing point (x₁, y₁) and with the slope of m is:  y - y₁ = m(x - x₁)

m = -⁶/₅

Y-Intercept = 2  ⇒  point (0, 2)  ⇒  x₁ = 0,  y₁ = 2

Point-Slope Form:    y - 2 = -⁶/₅(x - 0)

Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x

Answer:

A corp this ridiculous with constant vigor of-a lungul unui plan inclinat care formeaza with orizontala unghiul alfa pentru la tangenta de alfa = 1.8. Randamentul planului inclinat are evalarea eta = 80

Step-by-step explanation:

May I know what language it is?

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

To learn more about probability click on,

https://brainly.com/question/11994012

#SPJ4

In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

Read more about speed

https://brainly.com/question/13590103

#SPJ1

complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

Answer:

$568.16

Step-by-step explanation:

Answer: The answer to your problem is $568.16

Answer:

C

Step-by-step explanation:

I did 7,300 - 5,500 to get 1800 and 1800 divided by 300 is 6.

So, 6 workers will earn $7,300 and any more workers will earn more than that.

Answer:

D

Step-by-step explanation:

if the circle is open that means that it is either equal to or bigger/smaller and since the company needs 6 or more then it has to be D

Laplace transform of  L[(t²-t+1)δ(t - 2)] is  \(e^{-2s}\)(2/s³ - 1/s² + 1)

Given function,

L(t²-t+1) δ(t - 2)}

Here,

Laplace transform formula,

L{f(t)s(t - \(t_{0}\))} = \(e^{-st_{0} }\) F(s)

L{\(t^{n}\)} = n!/\(s^{n+1}\)

L{1} = 1

Now,

L(t²-t+1) δ(t - 2)} = L{t²δ(t-2) tδ(t-2) +δ(t-2)}

= (2/s³) \(e^{-2s}\) - (1/s²)\(e^{-2s}\) + \(e^{-2s}\)

= \(e^{-2s}\)(2/s³ - 1/s² + 1)

Know more about laplace transform,

https://brainly.com/question/14487937

#SPJ4

The likelihood of rejecting the null hypothesis and the value for cohen's d a larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

b. A larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

When other factors are held constant, increasing the sample size generally leads to a more precise estimate of the population parameters.

This increased precision can result in a higher likelihood of rejecting the null hypothesis if the effect being studied is real and present in the population.

However, the value of Cohen's d, which is a measure of effect size, remains the same regardless of the sample size. Cohen's d is calculated based on the difference between group means and the standard deviation of the data.

Increasing the sample size does not affect the difference between group means or the standard deviation, so the value of Cohen's d remains constant.

In summary, a larger sample size increases the likelihood of rejecting the null hypothesis but does not change the value of Cohen's d.

To know more about hypothesis refer here:

https://brainly.com/question/32562440#

#SPJ11

After 4 years, you would have approximately $6,356.25 in your savings account.

To calculate the amount of money you would have after 4 years in a savings account with continuous compounding at an annual interest rate of 6%, we can use the formula:

\(A = P \times e^(rt)\)

Where:

A = the future amount (final balance)

P = the principal amount (initial deposit)

e = the mathematical constant approximately equal to 2.71828

r = the annual interest rate (as a decimal)

t = the time period in years

Let's plug in the values into the formula:

P = $5,000

r = 0.06 (6% expressed as a decimal)

t = 4 years

A = 5000 * e^(0.06 * 4)

Using a calculator, we can evaluate the expression inside the parentheses:

\(A \approx 5000 \times e^{(0.24)}\)

\(A \approx 5000 \times 1.2712491\)

\(A \approx 6356.25\)

Therefore, after 4 years, you would have approximately $6,356.25 in your savings account.

For such more questions on

https://brainly.com/question/25787382

#SPJ8

Answer:

-195.34

Step-by-step explanation:

Given data :

-49(4)+\(\frac{2}{3}\)

It can be calculated as :

-196+0.66

-195.34

Therefore, given expression is equivalent to -195.34

Answer:

c

Step-by-step explanation:

Answer:

c) divide both sides by 8

hope this helps!

Answer:

Its the 3 option

Answer:

Human coastal development has also helped jellyfish thrive. The structures and construction that we have placed in the water, such as piers, marinas, oil platforms, artificial reefs, refuse, rubble, aquaculture pens and structures, etc. provide an abundance of habitats for polyps to settle on.

1. Everyone has a carrying capacity

     carrying capacity means is the total frequency of individuals within a    community a habitat can sustain.

2. Limiting factor are biotic or abiotic factors which limit the carrying capacity.

complete question:

When living conditions in an area are good, a population will generally grow. But eventually some environmental factors will cause the population to stop growing. A limiting factor is an environmental factor that causes a population to decrease. Some limiting factors for populations are food and water, space, and weather conditions.

1. Everyone has _____________

2.What is a limiting factor? please answer in a complete sentence by restating the question​

Answer:  

    1. Everyone has a carrying capacity

     carrying capacity means is the total frequency of individuals within a    community a habitat can sustain.

2. Limiting factor are biotic or abiotic factors which limit the carrying capacity.

The maximum population size that an ecosystem can support is called carrying capacity. Limiting factors determine carrying capacity. The availability of abiotic factors (such as water, oxygen, and space) and biotic factors (such as food) dictates how many organisms can live in an ecosystem. Carrying capacity is also impacted by the availability of decomposers. Decomposers breakdown and recycle dead organisms and organic matter. They prevent dead matter from accumulating and taking up space in an ecosystem.

To learn more about Limiting factors:

https://brainly.com/question/6996113

#SPJ4