is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero?

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▹ Answer

(-2, 1)

▹ Step-by-Step Explanation

4x + 3y = -5

-2x + 2y = 6

4x + 3y = -5

x = -3 + y

4(-3 + y) + 3y = -5

y = 1

x = -3 + 1

x = -2

(x, y) = (-2, 1)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

x = -2

y = 1

Step-by-step explanation:

Solve for x in the second equation.

-2x = 6 - 2y

x = 6/-2 - 2/-2y

x = -3 + y

Put x as -3+y in the first equation and solve for y.

4(-3 + y) + 3y = -5

-12 + 4y + 3y = -5

-12 + 7y = -5

7y = -5 + 12

7y = 7

7/7y = 7/7

y = 1

Put y as 1 in the second equation and solve for x.

x = -3 + (1)

x = -2

The approximate eigenvalue after one iteration using the Power method is approximately √29.

To find the approximate eigenvalue using the Power method after one iteration, we need to follow these steps:

Choose an initial non-zero vector as the starting vector. Let's take the vector Z₀ = [1 0 0]ᵀ (a column vector).

Multiply the matrix A with the starting vector Z₀: A * Z₀.

Normalize the resulting vector to have a magnitude of 1. Let's call this normalized vector Z₁.

Repeat steps 2 and 3 iteratively.

Given the matrix A:

A = [4 3 2; 3 4 -2; 2 -3 10]

After performing the calculations for one iteration, we have:

Z₀ = [1 0 0]ᵀ

Z₁ = A * Z₀ = [4 3 2]ᵀ = [4; 3; 2]

Z₁ normalized = [4/√29; 3/√29; 2/√29]

Therefore, after one iteration, the approximate eigenvalue is approximately equal to the magnitude of the normalized vector Z₁, which is √29.

So, the approximate eigenvalue after one iteration using the Power method is approximately √29.

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Answer:

900,000 That's Your Answer UwU

Step-by-step explanation:

Step-by-step explanation:

45+45

90

I guess is the answer

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

When repeatedly drawing numbers from a hat containing slips labeled 1, 2, 3, 4, and 5, we would expect the results to form a uniform distribution.

This means that each number has an equal chance of being drawn, resulting in a roughly flat or rectangular-shaped graph. In this scenario, since each slip of paper has an equal probability of being drawn, the distribution of the results would be uniform. A uniform distribution is characterized by a constant probability for each possible outcome.

The graph representing this distribution would be a flat rectangle, with equal heights for each number. The x-axis would represent the possible numbers (1, 2, 3, 4, 5), and the y-axis would represent the frequency or probability of each number being drawn.

The graph would have uniform or constant height across all the numbers, indicating an equal chance of drawing any of the numbers. This type of distribution is commonly observed in situations where each outcome has the same probability of occurring, such as when selecting items randomly from a fixed set or conducting fair games of chance.

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10 candies treats is Kayla still keeping for herself when Kayla had twenty candies. Kayla gave her sister one-fifth of the candies.

Given that,

Kayla had twenty candies. Kayla gave her sister one-fifth of the sweets. She gave her pal 3/8 of the remaining funds.

We have to find how many treats is Kayla still keeping for herself.

We know that,

20 candies are in Kayla's candy collection.

The amount Kayla gave her sister was equal to 1/5 of 20.

= 1/5 ×20

= 4 candies

The number of sweets Kayla has left over after sharing them with her sister = 20-4 = 16 candies

From the leftover candies, the friend received 3/8 of 16 candies.

= 3/8 × 16

= 6 candies

Kayla has 16 candies left after subtracting 6 for herself.

= 10 candies.

Therefore, 10 candies treats is Kayla still keeping for herself when Kayla had twenty sweets. Kayla gave her sister one-fifth of the sweets.

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Answer:

x = 4

Step-by-step explanation:

\(5^{9x} =25^{4x+2}\)

First you need to get a common base as your number.

\(5^{9x} =5^{2(4x+2)}\)

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

\(5^{9x} =5^{8x+4}\)

Now we can use this statement:

\(A^{m} =A^{n}\) if \(m=n\)

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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Answer:

10.6666666667

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Slope of the given line is ~

\( \boxed{3}\)

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

Let's find the slope of the shown line, using coordinates of points (0 , 2) and (2 , 8) through which the line passes ~

that is ~

Solving the equations for the total number of adults and children and respective ticket costs, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

It is given to us that -

A total of 19 people attended the movie theater which was a mix of adults and children

Each adult ticket was $9

Each child’s ticket was $5.50.

Total cost for the party was $150

We have to find out the number of adults and children that attended the movie theater.

Let us assume that the number of adults and children that attended the movie theater be \(x\) and \(y\) respectively.

Since, a total of 19 people attended the movie theater including both adults and children, we can say that -

\(x+y=19\) ------ (1)

It is also given that each adult ticket was $9 and each child’s ticket was $5.50. So,

For \(x\) adults, the ticket price = \(9x\), and

For \(y\) children, the ticket price = \(5.5y\)

It is given that the total cost for the party was $150

\(= > 9x+5.5y=150\) ------- (2)

From equation (1), we have

\(x+y=19\\= > y =19-x\) ------ (3)

Substituting this value of \(y\) in equation (2),

\(= > 9x+5.5y=150\\= > 9x+5.5(19-x)=150\\= > 9x +104.5-5.5x=150\\= > 3.5x=45.5\\= > x=13\)------ (4)

Substituting this value of \(x\) from equation (4) in equation (3), we get

\(y=19-x\\= > y=19-13\\= > y=6\)

Thus, solving the equations, we find out that the number of adults and children that attended the movie theater are 13 adults and 6 children.

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Answer:

7. m^21n^27

8. a^21b^28

Step-by-step explanation:

7. since m^7 raised to the 3rd power = m^( 7 * 3 ) = m^21

then  n^9 raised to the 3rd power = n^( 9 * 3 ) = n^27

your answer is m^21n^27

8. a^3 raised to the 7th power = a( 3 * 7 ) = a^21

b^4 raised to the 7th power = b( 4 * 7 ) = b^28

your answer is a^21b^28

hope this helps:)

Answer:

A) \(\displaystyle \frac{1}{21}\)

Step-by-step explanation:

\(\displaystyle \frac{1}{21} = \frac{1}{3} \times \frac{1}{7}\)

I am joyous to assist you at any time

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Step-by-step explanation:

In order to solve this equation, you will need to use the following steps:

First, simplify the left side of the equation by performing the operation of multiplying 0.5 and (2x-8) to get 0.5(2x-8)=x-4.

Then, subtract 3 from both sides of the equation to get x-4=3x+28.

Next, subtract 3x from both sides of the equation to get -3x+x-4=28.

Combine the like terms on the left side of the equation to get -2x-4=28.

Add 4 to both sides of the equation to get -2x=32.

Finally, divide both sides of the equation by -2 to get x=16.

Therefore, the value of x that makes the equation 3-0.5(2x-8)=(3x+28) true is 16.

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)

The initial height is \(h(0) = 15\), hence, one turn is completed when h(t) = 15.

\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)

\(15 = 15\cos{\left(\frac{\pi}{20}t\right)}\)

\(\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}\)

\(\cos{\left(\frac{\pi}{20}t\right)} = 1\)

The length of one turn is of \(2\pi\), and \(\cos{(2\pi)} = 1\), hence, the solution is found according to:

\(\frac{\pi}{20}t = 2\pi\)

\(t = \frac{40\pi}{\pi}\)

\(t = 40\)

It takes 40 seconds to complete one turn.

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Answer:

D. 40 seconds!! Props to guy above.

Answer:

3.4

Step-by-step explanation:

cosx = adj/hyp

cos61° = x/7

x= cos61° * 7

*degree mode

3.39

In mile there are 63360 inches.

The number of inches in a mile is equal to the number of inches in a foot times the number of feet in a mile

We multiply 528 by 12 and add one zero to the right of the result.

Use vertical form to perform the multiplication.

So. 12 × 5280=63360

  ∴ 5280/6336

  = 1056

The number of inches in a mile = 12 × 5280

We multiply 528 by 12 and add one zero to the right of the result.

Use vertical form to perform the multiplication:

  528 × 12 = 1056

1056 + 5280 = 6336

So, 12 × 5280 = 63360 miles

Therefore, in mile there are 63360 inches.

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Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°

The variance of each random variable is given as follows:

a) Var(2x - y) = 10.4165.

b) Var(x + 3y - 5) = 20.833.

The number that occurs when each dice is thrown is represented by an uniform variable, with bounds a = 1 and b = 6, hence the variance of each variable is calculated as follows:

Var(x) = Var(y) = (6 - 1)²/12 = 2.0833.

When two variables are added, the variance is calculated as follows:

Var(aX + bY) = a²Var(X) + b²Var(Y)

Hence, for item a, the variance is calculated as follows:

Var(2x - y) = 2²Var(x) + (-1)²Var(y) = 4Var(x) + Var(y)

The variances were calculated before, which are both of 2.0833, hence:

4Var(x) + Var(y) = 4 x 2.0833 + 2.0833 = 10.4165.

For item b, the variance is calculated as follows:

Var(x + 3y - 5) = Var(x) + 3²Var(y) + (-1)²Var(-5).

The variance of a constant is of zero, hence Var(-5) = 0, and then:

Var(x + 3y - 5) = Var(x) + 3²Var(y) + (-1)²Var(-5) = 2.0833 + 9(2.0833) = 20.833.

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The correct statement regarding the proportional relationships is given as follows:

B. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10, compared to 1/12 for Andrew.

To obtain the person who runs faster, we need to look at their rates, as the time and the distance form a proportional relationship.

Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes, hence his rate is given as follows:

k = 1.5/18 = 2/24 = 1/12 = 12 minutes per mile.

Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes, hence her rate is given as follows:

k = 3/30 = 4/40 = 1/10 = 10 minutes per mile.

Due to the lower number of minutes per mile, Karleigh ran faster, and the correct option is given by option B.

Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes.

Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes.

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Answer:

k

Step-by-step explanation:

-3k minus -3k

-2k-(-3k)

-2k+3k

k

To translate the quadrilateral using the given vector, we will add the vector coordinates to the coordinates of the vertices of the shape.

The vertices of ABCD have the following coordinates:

If we add the vector (0, 1) to the vertices, we have:

Therefore, the correct option is OPTION C.

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

\(\mathbf{7x^3+3.5x^2}\);

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

\(\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}\)

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Answer:

14

Step-by-step explanation:

3x-8y

(3*10)-(8*2)

30-16

14

Answer:

30-16

Step-by-step explanation:

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

The value of lambda, the parameter for a Poisson random variable representing the number of pumpkins Steven carves in an hour, is 42.

In a Poisson distribution, lambda represents the average rate or average number of events occurring in a given time interval. In this case, Steven Clarke, the fastest pumpkin-carver on record, carved 42 pumpkins per hour on average, according to the Guinness Book of World Records.

The Poisson distribution is often used to model events that occur randomly over a fixed interval of time or space. It assumes that the events occur independently and at a constant average rate. In this context, lambda represents the average rate of pumpkin carving per hour.

So, in Steven Clarke's case, lambda is equal to 42, indicating that on average, he carves 42 pumpkins per hour based on his record-setting performance.

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