what is a negative coefficient and how do i work it out

The linear correlation coefficient (r) using the given table of values is approximately 0.968, indicating a strong positive correlation between x and y values. so, the correct option is A.

To calculate the linear correlation coefficient (r) using the given table of values, follow these steps

Calculate the mean (average) of both the x-values (X) and y-values (Y).

x-values: -20, 3, -7, 10, 6

Mean of x-values (X) = (-20 + 3 + (-7) + 10 + 6) / 5 = -8/5

y-values: -81, -9, 6, -5

Mean of y-values (Y) = (-81 + (-9) + 6 + (-5)) / 4 = -89/4

Calculate the difference between each x-value and the mean of x (x - X), and the difference between each y-value and the mean of y (y - Y).

x - X: -20 - (-8/5), 3 - (-8/5), -7 - (-8/5), 10 - (-8/5), 6 - (-8/5)

y - Y: -81 - (-89/4), -9 - (-89/4), 6 - (-89/4), -5 - (-89/4)

Simplify these differences

x - X: (-92/5), (43/5), (-27/5), (58/5), (46/5)

y - Y: (-305/4), (305/4), (425/4), (305/4)

Calculate the product of (x - X) and (y - Y) for each pair of values, and sum up these products.

(-92/5) * (-305/4) + (43/5) * (305/4) + (-27/5) * (425/4) + (58/5) * (305/4) + (46/5) * (305/4) = 12168/25

Calculate the standard deviation of x-values (σx) and y-values (σy).

σx = √[(Σ(x - X)²) / (n - 1)]

σy = √[(Σ(y - Y)²) / (n - 1)]

Σ(x - X)² = ((-92/5)² + (43/5)² + (-27/5)² + (58/5)² + (46/5)²) = 14008/25

Σ(y - Y)² = ((-305/4)² + (305/4)² + (425/4)² + (305/4)²) = 183625/16

σx = √[(14008/25) / (5 - 1)] = √(3502/25) = √(14008/100) = √140.08 ≈ 11.83

σy = √[(183625/16) / (4 - 1)] = √(61208.33/16) = √(3825.52) ≈ 61.91

Calculate the correlation coefficient (r)

r = Σ((x - X)(y - Y)) / (σx * σy)

r = (12168/25) / (11.83 * 61.91)

r ≈ 0.968

Therefore, the linear correlation coefficient (r) is approximately 0.968. so, the correct answer is A.

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--The given question is incomplete, the complete question is given below " Use the table of values to calculate the linear correlation coefficient r.

х  -20  3  -7  10  6

у  -81  -9  6  -5

choose the correct answer

a, r= 0.968

b, r=0.781

c, r=0.625

d, r=0.756

Would someone pls show steps to solving this "--

Answer:

y = -5

Step-by-step explanation:

The restriction for the value of y is the value of the variable that will make the function undefined

The function is undefined when the denominator is zero i.e when 5 + y is zero

5+y = 0

y = 0-5

y = -5

Hence the restrictions is at when y = -5

i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].

i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).

ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).

iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).

iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].

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Answer:

At least 8.333 km/hr

Step-by-step explanation:

Using the inequality setup, we have

5/r + 1.25 + .75 + .9 ≤ 3.5

5/r ≤ .6

5 ≤ .6r

r ≥ 25/3 = 8.333

Check the picture below.

Answer:

x =7       or              x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11    or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3    2x-3+3 = -11+3

2x = 14                 2x = -8

Divide each side by 2

2x/2 =14/2           2x/2 = -8/2

x =7                     x = -4

Answer:to find the coordinates of $P$ so that $AP$ to $PB$ is the given ratio, first look for the slope in rise over run form. Then, determine the ratio by thinking of it as dividing into segments.

Step-by-step explanation:

;)

The force readings from the right side of a sphere are inaccurate due to differences in diameters, as Coulomb's law states that force between charged objects is directly proportional to the product of their charges and inversely proportional to the square of their distance. To ensure even distribution of charges, spheres are coated with conductors, which distribute excess charges uniformly over their surfaces. This uniform distribution ensures a constant electric field and predictable and measurable forces.

1) There would indeed be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different. This is because Coulomb's law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In the case of spheres, if the diameters are different, the distances between the right side of each sphere and the point of measurement would not be the same. As a result, the force readings obtained from the right side of each sphere would not accurately reflect the interaction between the charges, leading to inaccurate results.

2) The spheres are coated with a conductor to ensure that the charges applied to them are evenly distributed on their surfaces. A conductor is a material that allows the easy flow of electric charges. When a conductor is used to coat the spheres, any excess charge applied to them will distribute itself uniformly over the surface of the spheres. This uniform distribution of charge ensures that the electric field surrounding the spheres is constant and that the electric forces acting on the charges are predictable and measurable. Coating the spheres with a conductor eliminates any localized charge concentrations and provides a controlled environment for conducting accurate experiments based on Coulomb's law.

3) Charge tends to 'leak' away from the charged conducting spheres due to a phenomenon known as electrical discharge or leakage. Conducting materials, such as the coating on the spheres, allow the movement of charges through them. When the spheres are charged, the excess charges on their surfaces experience a repulsive force, leading to a tendency for these charges to move away from each other. This movement can result in the charges gradually dissipating or leaking away from the spheres. The leakage can occur due to various factors, such as the presence of moisture, impurities on the surface of the conductor, or the influence of external electric fields. To minimize this effect, it is important to conduct experiments in a controlled environment and ensure that the conducting spheres are properly insulated to reduce the chances of charge leakage.

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Answer:

is A

Step-by-step explanation:

Answer:

The height of the parallelogram is 12 cm.

Step-by-step explanation:

We are given that a triangle and a parallelogram have the same base and same area.

The sides of the triangle measure 26 cm, 28 cm, and 30 cm.

We are given that the base of the parallelogram is 28 cm, and we want to determine its height.

Find the area of the triangle. Since we are given the three sides, we can consider using Heron's Formula:

\(\displaystyle A = \sqrt{s(s-a)(s-b)(s-c)}\)

Where a, b, and c are the sides and s is half of the perimeter.

The perimeter is:

\(P = (26) + (28) + (30) = 84\)

Hence, s = 42.

Then the area of the triangle is:

\(\displaystyle \begin{aligned} A&= \sqrt{42(42-26)(42-28)(42-30)} \\ &= \sqrt{112896} \\ &= 336\text{ cm}^2 \end{aligned}\)

The area of a parallelogram is given by:

\(\displaystyle A = bh\)

We are given that the base is 28 cm:

\(\displaystyle A = 28 h\)

Its area is equivalent to the area of the given triangle. Hence:

\(\displaystyle 336 = 28h\)

Divide:

\(\displaystyle h = \frac{336}{28} = 12\text{ cm}\)

In conclusion, the height of the parallelogram is 12 cm.

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

m=4

b=-3

I hope i could help! :)

y = mx+b

m=4

b=3

Hope this helps :)

The probability that more than 20% of the sample are from poverty households is approximately 0.8365.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

We can use the normal approximation to the binomial distribution to solve this problem, given that the sample size is relatively large (n=300) and the probability of success (p=0.22) is not too close to 0 or 1.

Let X be the number of children in the sample who live in poverty households. Then X follows a binomial distribution with parameters n=300 and p=0.22.

The mean of X is given by μ = np = 300 x 0.22 = 66, and the standard deviation is σ = sqrt(np(1-p)) = sqrt(300 x 0.22 x 0.78) ≈ 6.23.

We want to find the probability that more than 20% of the sample are from poverty households, which is equivalent to finding P(X > 0.2n) = P(X > 60).

To use the normal approximation, we can standardize X as follows:

Z = (X - μ) / σ

Then, we have:

P(X > 60) = P(Z > (60 - 66) / 6.23) ≈ P(Z > -0.96)

Using a standard normal table or calculator, we can find that the probability of Z being greater than -0.96 is approximately 0.8365.

Therefore, the probability that more than 20% of the sample are from poverty households is approximately 0.8365.

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Answer:

99

Step-by-step explanation:

(40+49)+10=89+10=99

Answer:

#carry on learning

Mark me as brainliest

(f + g)(x) = f(x) + g(x), where x is in the domain of both f and g. = 2x3 + x2 + 2. The domain of (f + g)(x) consists of all x-values that are in the domain of both f and g.

The area of the composite figure is 136 square feet.

The correct option is B.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A composite figure is shown in the attached image.

The triangle's dimensions are;

the height = 13 - 7 = 6 feet.

the length of the base = 16 - 8 = 8 feet.

The area of the composite figure,

= the area of the triangle ABD + the area of the rectangle BECF

= 1/2 x 8 x 6 + (16 x 7)

= 24 + 112

= 136 square centimeters.

Hence, the area is 136 square centimeters.

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Answer:

Logan is making bigger cookies

Step-by-step explanation:

1.25 > 1.12

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The probability is that this is least 2 collisions within the next 3 insertions using linear probing is 0.7.

Required probability

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We see that the measure of angle ORP is 80 degrees and the measure of angle ORN is (3x10) degrees. The statement that could be used in step 2 when proving x = 30 is "80 = 3x 10".

In step 2 of the proof, we need a statement that supports the claim that x is equal to 30. Looking at the given table, we see that the measure of angle ORP is 80 degrees and the measure of angle ORN is (3x10) degrees.

To prove that x is equal to 30, we can set up an equation based on the information provided:

80 = 3x 10

By simplifying the equation, we can solve for x:

80 = 30x

Dividing both sides of the equation by 30, we get:

x = 80/30

x = 8/3

x ≈ 2.67

However, the equation x = 30 is not satisfied by this value of x. Therefore, the given statement "80 = 3x 10" is incorrect or incomplete, and it cannot be used as a valid step in proving x = 30.

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Answer:

slope is 2

y-intercept is (0,4)

yk i got u

Answer: x=

2

y−4

​−2x+y=4

Subtract y from both sides.

−2x=4−y

Divide both sides by −2.

−2

−2x

​

=

−2

4−y

​

Dividing by −2 undoes the multiplication by −2.

x=

−2

4−y

​

Divide 4−y by −2.

x=

2

y

​

−2

Step-by-step explanation:

PLEASE GIVE ME BRAINLIEST

Answer: The LCM of 3 and 8 is 24.

Step-by-step explanation:

So far, the given two numbers are 3 and 8. We have to find the LCM ( Least Common Multiple ) of 3 and 8, not the GCF ( Greatest Common Factor). That means, we have to find the smallest multiple of 3 and 8.

Let's try it out.

3 times 1 = 3. Is that a multiple of eight? No.

3 times 2 = 6. Is that a multiple of eight? No.

3 times 3 = 9. Is that a multiple of eight? No.

3 times 4 = 12. Is that a multiple of eight? No.

3 times 5 = 15. Is that a multiple of eight? No.

3 times 6 = 18. Is that a multiple of eight? No.

3 times 7 = 21. Is that a multiple of eight? No.

3 times 8 = 24. Is that a multiple of eight? YES!

Now try it out for 8.

8 times 1 = 8. Is that a multiple of three? No.

8 times 2 = 16. Is that a multiple of three? No.

8 times 3 = 24. Is that a multiple of three? YES!

So now that 24 occurs in the list for both of them, it is the LCM because there are no other numbers that come before it that are multiples of both 3 and 8.

The LCM of 3 and 8 is 24.

The LCM (Least Common Multiple) of two numbers is the smallest number that is a multiple of both numbers.

To find the LCM of 3 and 8, we can use the following steps:

1. List out the multiples of 3 until we reach a number that is divisible by 8.

2. List out the multiples of 8 until we reach a number that is divisible by 3.

3. The smallest number that appears in both lists is the LCM of 3 and 8.

The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27...

The multiples of 8 are 8, 16, 24, 32 ...

The smallest number that appears in both lists is 24. Therefore, the LCM of 3 and 8 is 24.

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Answer: C. 242

Step-by-step explanation:

So first you need to know the formulas for the shapes (trapezoid and rectangle) to solve it.

Trapezoid- A= 1/2(b1+b2)h

Rectangle- L x W.

So to plug in numbers for trapezoid should look like: 1/2(13+24) (4)

1/2 (37) (4)

(18.5) (4)

=74.

For rectangle: 7 x 24= 168.

So add them together and you should have your answer. 168+74=242 in.

I hope this helped!!! :)

So the cosine of the angle between the two planes is 8sqrt(78) / 78.

To find the cosine of the angle between two planes, we need to find the normal vectors of each plane and then use the dot product formula.

The normal vector of the first plane is <1, 1, 1>, and the normal vector of the second plane is <1, 3, 4>.

The dot product of these two vectors is:

<1, 1, 1> · <1, 3, 4> = 1(1) + 1(3) + 1(4) = 8

The magnitude of the normal vector of the first plane is:

|<1, 1, 1>| = sqrt(1^2 + 1^2 + 1^2) = sqrt(3)

The magnitude of the normal vector of the second plane is:

|<1, 3, 4>| = sqrt(1^2 + 3^2 + 4^2) = sqrt(26)

Therefore, the cosine of the angle between the two planes is:

cosθ = (normal vector of plane 1) · (normal vector of plane 2) / (magnitude of normal vector of plane 1) * (magnitude of normal vector of plane 2)

= 8 / (sqrt(3) * sqrt(26))

= 8 / (sqrt(78))

= 8sqrt(78) / 78

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The state tax will be equal to $1204.15.

What is state tax?

State tax is computed by first subtracting the number of exemptions from annual income and then multiplying it by the state tax.

Given that:-

Robert has a yearly income of 32,008 including three exemptions the amount allowed for each exemption is 1225 tax rate is 4 1/4%.

The exemptions will be calculated as:-

E = 3 x 1225 = $3675

The difference will be = 32008 - 3675 = $28333

State tax will be calculated as:-

State tax = 28333 x ( 4.25 / 100)

State tax = $1204.15

Therefore the state tax will be equal to $1204.15.

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Given parametric equations are: $x=5 \tan \theta, y=4 \sec \theta$ The corresponding rectangular equation is found by eliminating the parameter $\theta.$.

First, square the given parametric equations:  Differentiating both the parametric equations .

$x^2 = 25 \tan^2 \theta, y^2 = 16 \sec^2 \theta$

Note that $\sec^2 \theta = \tan^2 \theta + 1.$

This allows us to write the equation:$y^2 - 16 = \frac{16}{25} x^2.$

Simplifying the equation the graph of the curve represented by the parametric equations is shown below: The slope of the graph at can be found using the formula: Differentiating both the parametric equations .

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Answer:

1.3

Step-by-step explanation:

Just divide the top by the bottom.

Answer:

1.3

Step-by-step explanation:

If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.

The probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

The die has 8 equally likely possible outcomes, which are the numbers 1 through 8. The probability of rolling a number greater than 6 is the same as the probability of rolling a 7 or 8.

Since each of these two outcomes is equally likely, the probability of rolling a number greater than 6 is:

P(rolling a number greater than 6) = P(rolling a 7) + P(rolling an 8)

The probability of rolling a 7 is 1/8, and the probability of rolling an 8 is also 1/8. Therefore:

P(rolling a number greater than 6) = 1/8 + 1/8 = 2/8 = 1/4

So the probability of rolling a number greater than 6 is 1/4, or 0.25 as a decimal, or 25% as a percentage.

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