psych1001 if variables variable c and variable d are significantly correlated, which of the following is also true? group of answer choices a. variable a causes variable b variable d causes variable c variable c and variable d are related,
b. but we do not know whether changes in one variable caused changes in the other variable. c. none of the options

Answer:

19.79 ft

Step-by-step explanation:

Given data

We are given that the dimension of the room is

Length= 14ft

Width= 14ft

Required

The Diagonal of the room

Applying the Pythagoras theorem we have

D^2= L^2+W^2

substitute

D^2= 14^2+14^2

D^2= 196+196

D^2= 392

D= √392

D= 19.79 ft

Hence the distance from one corner to the other is 19.79 ft

Simple

Step-by-step explanation:

State 3 or more details why and where you want to go on the plane ride. Use full sentences and good punctuation. Hope you get an A+!

Answer:

Here's the new and improved essay. I made sure to add the literary devices.

Step-by-step explanation:

My mom said that this is the last time I can help you because she needs me to focus on my own priorities even if I say I want to do it on my freetime  shes saying that I can't do homework for people, because she says I'm helping them cheat and I'm giving them a bad example. I'm really sorry. I hope this essay works out for you.

Answer:

GF = 11

GE = 28

DF = 28

HF = 14

DG = √(663)

Step-by-step explanation:

We have that for a rectangle;

1) The opposite sides are equal

Therefore, GF = DE = 11

2) The diagonals of a rectangle are equal and they bisect each other

Therefore;

HE = HF = GH = 14

∴ HF = 14

HE = 14

GE = GH + HE = 14 + 14 = 28

GE = 28

DF = GE = 28

DF = 28

3) The sides of a rectangle are perpendicular

Therefore, by Pythagoras's theorem, DG = √(DF² - GF²) = √(28² - 11²) = √663 ≈ 25.75

The answer is that condition (D) assures that g has an inverse function.

The second derivative of a function tells us about its concavity, or the direction of its curvature. If the second derivative is always positive, the function is always concave up, meaning it is always increasing at an increasing rate. This guarantees that the function is one-to-one, meaning that every output has a unique input. Therefore, an inverse function exists. The other conditions do not guarantee this, as (A) and (B) only tell us about the slope of the function, and (C) only tells us about the concavity at specific points.

it is important to understand the reasoning behind the solution.

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By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Answer:

Because is said

Step-by-step explanation:

C

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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The multiplication rule is used to calculate joint probability.

Joint probability is the probability of two events happening simultaneously. The multiplication rule states that the probability of two independent events happening together is equal to the product of their individual probabilities.

The formula can be expressed as: P(A and B) = P(A) x P(B). For example, if the probability of event A is 0.3 and the probability of event B is 0.4, then the joint probability of both events happening together is 0.3 x 0.4 = 0.12. The multiplication rule is only applicable for independent events, meaning that the occurrence of one event does not affect the probability of the other event.

When events are dependent, the calculation of joint probability is more complicated and may involve conditional probability.

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Answer:

1,436.8

Step-by-step explanation:

We know that 77 rainy days out of 140 days means that on a total of 55% of days, the rain was recorded using percentages.

(Is is represented on the double number line below)

A relative number called a percentage is used to represent hundredths of any quantity.

One percent is represented by the symbol 1%; as a result, 100 percent denotes the entire amount, and 200 percent indicates double the quantity given.

A ratio or fraction can be changed into a percentage by multiplying by 100 and adding the "percentage sign"%.

So, the total period is of 140 days.

We know that in a total of 77 days, rain was recorded.

So, the percentage of 77 days in 140 days will be:

77/140 * 100

d = 55%

Represent it on the double number line as follows:

(Refer to the attached number line below)

Therefore, we know that 77 rainy days out of 140 days means that on a total of 55% of days, the rain was recorded using percentages.

(Is is represented on the double number line below)

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Answer:

4 as a fraction is 2/5. Here you can submit another decimal number for us to convert to a fraction. Check out the next decimal number on our list that we converted to a fraction.

Step-by-step explanation:

pls mark me brainless to feed my frogs

Answer:

2/5

Step-by-step explanation:

The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 36x² - 25.

We know that

\(\rm a^2 - b^2 = (a+b)(a-b)\)

(6x)² − 5²

(6x + 5)(6x − 5)

The complete factor of the polynomial 36x² - 25 is (6x + 5)(6x − 5). Then the correct option is D.

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Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

The correct option is: 1 = ∫∫∫r dz dr dθ

By converting the given expression into an equivalent triple integral in cylindrical coordinates, we obtain:

1 = ∫∫∫r dz dr dθ

This option represents the correct conversion of the integral into cylindrical coordinates. The integral is taken over the region defined by the limits of integration for z, r, and θ, which are not provided in the given question.

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To test the hypothesis H0: μ = 0 against Ha: μ ≠ 0 based on an SRS of 6 observations from a Normal population, we can use the t statistic. At the α = 0.001 level, the values of the t statistic that are statistically significant are t > 3.707 or t < -3.707.

In hypothesis testing, the t statistic is used to determine the significance of the difference between the sample mean and the hypothesized population mean. The t statistic follows a t-distribution with n-1 degrees of freedom, where n is the sample size.

To determine the values of the t statistic that are statistically significant at the α = 0.001 level, we need to find the critical values corresponding to the two-tailed test. Since the alternative hypothesis Ha: μ ≠ 0 is a two-tailed test, we divide the significance level α by 2 to obtain α/2 = 0.001/2 = 0.0005 for each tail.

Using a t-distribution table or statistical software, we can find the critical values corresponding to a tail area of 0.0005. For a sample size of 6, the critical values are t > 3.707 and t < -3.707.

Therefore, if the calculated t statistic falls outside the range of t > 3.707 or t < -3.707, we can reject the null hypothesis H0: μ = 0 at the α = 0.001 level and conclude that there is evidence of a statistically significant difference between the sample mean and the hypothesized population mean.

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The matrix A of the linear transformation T is:  A = |  cos(π/3)  sin(π/3) |, |  sin(π/3) -cos(π/3) |. To find the matrix A of the linear transformation T from R2 to R2 that rotates any vector through an angle of 60° in the clockwise direction and then reflects the vector about the x-axis.

we can follow these steps:
1. Rotation matrix R(θ): The clockwise rotation by an angle θ is given by the following matrix:
  R(θ) = | cos(θ)   sin(θ) |
         | -sin(θ)  cos(θ) |
2. Reflection matrix F: The reflection about the x-axis is given by the following matrix:
  F = | 1  0 |
      | 0 -1 |
3. Combine the transformations: To combine the rotation and reflection transformations, we multiply the matrices:
  A = F × R(θ)
4. Apply the angle: Since the angle is 60° (in radians, θ = π/3), we plug in the values into the rotation matrix:
  R(θ) = | cos(π/3)   sin(π/3) |
         | -sin(π/3)  cos(π/3) |
5. Compute the result: Now, we multiply the reflection matrix F by the rotation matrix R(θ) to obtain the final transformation matrix A:
A = | 1  0 | × | cos(π/3)   sin(π/3) |
      | 0 -1 |   | -sin(π/3)  cos(π/3) |
A = | cos(π/3)  sin(π/3) |
      | sin(π/3) -cos(π/3) |
Thus, the matrix A of the linear transformation T is A = |  cos(π/3)  sin(π/3) |
|  sin(π/3) -cos(π/3) |

To find the matrix and of the given linear transformation t, we need to first find the matrix of the rotation and reflection separately, and then multiply them to get the matrix of the combined transformation. Let's start with the rotation of a vector through an angle of 60∘ in the clockwise direction. We know that this transformation can be represented by the following matrix:
R = [cos(60°)  sin(60°)
   -sin(60°)  cos(60°)]
Using the values of cosine and sine of 60°, we get:
R = [1/2   sqrt(3)/2
   -sqrt(3)/2  1/2]
Next, we need to find the matrix of the reflection about the x-axis. This transformation can be represented by the following matrix:
F = [1  0
    0 -1]
Now, to get the matrix a of the combined transformation, we multiply the matrices R and F in the order of reflection followed by rotation:

a = RF = [1/2   -sqrt(3)/2
        0    -1/2] [1/2   sqrt(3)/2
                       -sqrt(3)/2  1/2]
On simplifying this product, we get:
a = [1/4  3/4
    -sqrt(3)/4  -1/4]
Therefore, the matrix a of the given linear transformation t from r2 to r2 that rotates any vector through an angle of 60∘ in the clockwise direction and reflects the vector about the x-axis is:
a = [1/4  3/4
    -sqrt(3)/4  -1/4]

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Using the discriminant the quadratic equation 4x² + 20x + 25 = 0 has a repeated real solution.

To determine the nature of the solutions of the quadratic equation 4x² + 20x + 25 = 0 using the discriminant, we need to calculate the discriminant value and analyze its relationship to the nature of the solutions.

The discriminant (D) is given by the formula: D = b² - 4ac

In the quadratic equation, 4x² + 20x + 25 = 0, we have:

a = 4

b = 20

c = 25

Calculating the discriminant:

D = (20)² - 4(4)(25)

D = 400 - 400

D = 0

Now, let's analyze the value of the discriminant (D):

If the discriminant (D) is greater than 0, the quadratic equation has two unequal real solutions.

If the discriminant (D) is equal to 0, the quadratic equation has a repeated real solution.

If the discriminant (D) is less than 0, the quadratic equation has no real solutions.

In this case, the discriminant (D) is equal to 0.

Therefore, the quadratic equation 4x² + 20x + 25 = 0 has a repeated real solution.

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Answer:

-3y+4x+4

Step-by-step explanation:

if you need the step-by-step explanation I can work it out for you just let me know

The  the coordinate of point B is (6, -8)

The formula for calculating the midpoint of AB is expressed as;

M(x, y) = {(x1+x2)/2, (y1+y2)/2}

Given the following coordinate points

M(7, -7)

A(8, -6)

Required

Coordinate of S

Substitute

8+x2/2= 7

8+x2 = 14

x2 = 6

Similarly;

-6+y2/2 = -7

-6+y2 = -14

y2 = -8

Hence the coordinate of point B is (6, -8)

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The length of the golden rectangle, to the nearest inch, when the width is 24 inches, should be 39 inches.

To find the length of the golden rectangle, we need to multiply the width by the golden ratio, which is approximately 1.618.

Length = Width × Golden Ratio

Length = 24 in × 1.618

Length ≈ 38.832

Rounding this value to the nearest inch gives us 39 inches. Therefore, the correct answer is C: 39 in. Or 15 in.

The golden ratio is a mathematical proportion that has been used in art and architecture for centuries. It is believed to create aesthetically pleasing and harmonious designs. In a golden rectangle, the ratio of the longer side to the shorter side is approximately 1.618. So, by multiplying the given width by the golden ratio, we can determine the corresponding length of the rectangle.

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Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

The meaning of the word "poor" According to the vocabulary is a weak. Thus option A is a correct option.

According to the statement

We have to find the meaning of the word "poor" which is used in the given line.

So, For this purpose, we know that the

The given word is a "poor".

And we find the meaning of the word with the help of the vocabulary.

Vocabulary is an important focus of literacy teaching and refers to the knowledge, meanings etc.

The meaning of the given word "poor" in this line is a optimistic about.

The meaning of this line becomes that the there is a weak innovation in the market but advance innovation is continues.

So, The meaning of the word "poor" According to the vocabulary is a weak. Thus option A is a correct option.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Solar panel installations continue to grow quickly,but the solar panel manufacturing industry is in the doldrums because supply far exceeds demand. The poor market may be slowing innovation, but advances continue; judging by the mood this week at the IEEE Photovoltaics Specialists Conference in Tampa, Florida, people in the industry remain optimistic about its long-term prospects.

As used in line 4, "poor" most nearly means

line 4: The poor market may be slowing innovation, but advances continue.

A) weak

B) humble

C) pitiable

D) obsolate

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Answer:

A

Step-by-step explanation:

Plug the values into the equation

Option A is the correct answer.

If you look at the x and y values in table D, you’ll see that the change in y values is +2, while the change in x values is +1. Thus, the slope is 2/1 or 2.

Another way to look at it is by solving for the slope:

Using coordinates: (3, 5) (4 ,7):

Let x1 = 3

x2 = 4

y1 = 5

y2 = 7

\(m = \frac{(y_{2} - y_{1}) }{(x_{2} - x_{1}) }\)

\(m = \frac{7 - 5}{4 - 3} = \frac{2}{1} = 2\)

Therefore, the slope (m) = 2.

For the y-intercept, (b): it is the value of y when x = 0.

Let x = 0:

y = mx + b

y = 2(0) -1

y = -1

Therefore, the y-intercept is -1, which is also included in the given equation.

Answer:

-500

Step-by-step explanation:

since 501 has a negative sign,add 1 to to the number,the next number will be -500

-501 +1 = -500

successor in this case means a number that succeeds another

Answer:

The correct answer is - 17.

Step-by-step explanation:

Given:

total students = 219

in chemistry = 112

in physics = 45

not enrolled in either of these = 79

solution:

The number of students in both classes can be calculated by

P ( A or B) = P (A) + P (B) - P (A and B)

then putting and solving the given vaues in formula

=> (219-79) = 112+45-x

=> 140 = 157 -x

=> 17 = x

Answer:

3627

Step-by-step explanation:

assuming it is 13*(-32.48-14.02)*6

Answer:

Step-by-step explanation:

35*27%=9.45 mark up

35+9.45= 44.45 total cost

Answer:

The answer is $44.45

Step-by-step explanation:

You change the percent into a decimal so it would be .27 then multiply the .27 to the $35 and you will get $9.45. Then you add the $9.45 to the $35 and you will get the answer.

By the definition of inverse functions, we will get:

\(arcsin(-1) = -pi/2\)

The function arcsin(x) is the inverse of the sine function, such that, if:

\(sin(x) = y\\\\arcsin(y) = x\)

Now, we know that:

\(sin( -pi/2) = -1\)

Where pi = 3.14

Then, using the above rule:

\(arcsin(-1) = -pi/2\)

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X+X+X+X+X+X+X/7=82

X+X+X+X+X+X+X+X/8=85

X+X+X+X+X+X+X=574

X+X+X+X+X+X+X+X=680

X=106

You need to score 106

Hope this helps :D