Question: A χ2-curve, looking at the relationship between hours spent watching TV per week and hours of exercise per week, has 10 degrees of freedom.

Answer:

18.65%

Step-by-step explanation:

We know

The regular price of each song is $0.89

0.89 x 15 = $13.35

Using a special discount, you download 15 songs for $10.86

What is the percentage of the discount​?

We Take

13.35 - 10.86 = $2.49

Then we take

2.49 divided by 13.35, time 100 = 18.65%

So, the percent of the discount is 18.65%

The interest for the first payment is $30.00

Interest is how much is paid for the use of money.

Therefore, you  take a $4,500 loan to pay for trip to the Amazon rainforest to photograph wild animals.

The  loan's interest rate is 8% for 1 year.

Therefore, the interest for the first payment can be calculated as follows:

Interest for the first payment = 8% of 4500 × 1 / 12

Interest for the first payment = 8 / 100 × 4500 × 1 / 12

Interest for the first payment = 8 × 45 × 1 / 12

Interest for the first payment = 360 / 12

Interest for the first payment = $30

Therefore,

interest = $30

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Answer:

35√(7)

Step-by-step explanation:

I think if it's wrong I'm sorry

Answer:

u=1

u=2

u=3

u=4

Step-by-step explanation:

trust me i am in 8th grade

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

answer:

9

explanation:

9*9=81

81 sqrt= 9

Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

The area and perimeter of the figure be 562.08 m² and 123.68 m.

The figure referred to is made out of a parallelogram and a crescent. The area of the parallelogram can be determined by utilizing the equation base x level, bringing about an area of 336 m².

The area of the crescent is determined utilizing the formula (π x r²)/2, calculating an area of 226.08 m². Thus, the complete area of the figure is 562.08 m².

The perimeter of the parallelogram is 86 m, while the border of the half circle is 37.68 m, giving an all-out perimeter of 123.68 m.

The area of the figure is 562.08 m², while the perimeter is 123.68 m.

This can be additionally separated into the area and perimeter of the parallelogram and half circle, which are 336 m² and 226.08 m² for the area, and 86 m and 37.68 m for the border, individually.

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Answer:

The amount of salt

Step-by-step explanation:

The more salt added to the mixture, the colder the ice cream gets

Answer:

1755

Step-by-step explanation:

When finding area, you want to multply the length, 45, by the width, 39. This yields the answer to the total area: 1755

Answer:

answer it yourself

Step-by-step explanation:

named width in java with a value of 1.55.

double length = 3.5; double width = 1.55;

Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly  ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.

For example:

double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.

3.5 double length, 1.55 double width;

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Answer:

x=3

Step-by-step explanation:

The equation here is x=3. If it were y=3, then it would be a horizontal line.

Answer:

2

Step-by-step explanation:

Answer:

1.03% of 0.054=0.0005562

Answer: 1517.54

Step-by-step explanation:

So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.

We know that the compound interest equations is A = P(1+r/n)^nt where:

A is final amount

P is principal (initial) amount

r is interest rate

n is number times interest compounded

t is number of time periods

Given this, in the 2% compound we know:

A = ?

P = 1200

r = 2%

n = 1 (because it didn't say how many times compounded so we assume 1)

t = 2

This becomes:

A = 1200 (1 + (0.02/1))^ 1 * 2

A = 1248.48

Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:

A = ?

P = 1248.48

r = 5%

n = 1

t = 4 (because there were 6 years in total and we used 2 years for 2%)

This becomes:

A = 1248.48 (1 + (0.05/1))^ 1 * 4

A = 1517.54

Answer:

18ft

Step-by-step explanation:

if the car moves 2 ft per second, and you are trying to find how many feet the car traveled in 9 seconds. so you would have to do 2x9 to get your answer of 18. hope this helps!

Given statement solution is :-Time cannot be negative in this context, we discard the solution t = -1,  the book will hit the ground after approximately 2.5 seconds.

To find the time when the book hits the ground, we need to determine when the height (h) becomes zero. We can set up the equation and solve for t.

The equation given is:

h = -\(16t^2 + 24t + 40\)

Setting h = 0, we have:

0 = \(-16t^2 + 24t + 40\)

Now we can solve this quadratic equation. There are a few methods to solve quadratic equations, such as factoring, completing the square, or using the quadratic formula. In this case, we'll use the quadratic formula:

t = \((-b ± √(b^2 - 4ac)) / (2a)\)

For our equation, a = -16, b = 24, and c = 40. Plugging these values into the quadratic formula, we get:

t = \((-24 ± √(24^2 - 4*(-16)40)) / (2(-16))\)

t = \((-24 ± √(576 + 2560)) / (-32)\)

t = (-24 ± √3136) / (-32)

t = (-24 ± 56) / (-32)

Now we have two possible solutions:

t = (-24 + 56) / (-32) = 32 / (-32) = -1

t = (-24 - 56) / (-32) = -80 / (-32) = 2.5

Since time cannot be negative in this context, we discard the solution t = -1. Therefore, the book will hit the ground after approximately 2.5 seconds.

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Answer:

no solution

Step-by-step explanation:

hope this helps =)

The given equation has no solution.

What is equation?

Equation is a statement that show the equality of two expressions connecting by equal sign. for example, 3x - 5 = 20. In this case, 3x - 5 and 20 both are expressions which are connected by equal sign. The two expressions are written on the left side of equal and right side of equal. There are different types of equations such as linear equation, quadatic equation, etc.

The equation is given in the question is 4(x - 8) + 12 = 2(2x -9).

when we find out the solution,

4(x - 8) + 12 = 2(2x -9)

Multiply x with 4 and 2 according to the equation.

4x - 32 + 12 = 4x - 18

4x - 20 = 4x - 18

now, you can see this equation has no solution as the value of x cannot be determined.

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Answer:

The area of a circle can be calculated using the formula `A = πr^2`, where `A` is the area and `r` is the radius. In this case, the radius is given as **53 yards**. Using the approximation of pi as **22/7**, we can calculate the area as follows:

`A = (22/7) * 53^2`

This simplifies to approximately **8,828 square yards** when rounded to the nearest square yard.

So, among the options you provided, **8,828 square yards** would be the correct answer.

Th Area of circle is 8,828.28 yd².

The correct option is B.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Radius of circle= 53 yards

So, area of Circle

=πr²

= 22/7 x 53 x 53

=  8,828.28 yd²

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Answer:

The answer for Acellus people is x=12.2

Step-by-step explanation:

The other legs of the right-angle triangle will be 12.23 units and 11.81 units.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right angle triangle is shown with the angle of 44° and the length of the hypotenuse is 17 units.

Then the measure of the length of x will be given by a cosine angle of 44°.

cos 44° = x / 17

x = 12.23 units

Then the measure of the length of y will be given by a sine angle of 44°.

sin 44° = y / 17

y = 11.81 units

Thus, the other legs of the right-angle triangle will be 12.23 units and 11.81 units.

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Assuming you're trying to find the value of r...

Answer:

r = 1

Step-by-step explanation:

Take your starting equation:

16 = 16r

Since r is multiplied by 16, divide both sides by 16 to isolate r.

16 / 16 = 1

16r / 16 = r

The result is 1 = r, which can be written as:

r = 1

Since x and y are both real, we can group the terms into two separate polynomials: (a0 + a2ix - a4y^2 + ani(y^n)) + (a1x + a3x^2 + a5xy + ··· + anx^n) = 0

If z ∈ C is a solution to a real polynomial equation, then we have

a0 + a1 z + ··· + anz^n = 0

where ai ∈ R for i = 0, 1, …, n.

Since z ∈ C, we can write z = x + iy, where x and y are real numbers. Then we have

a0 + a1(x + iy) + ··· + an(x + iy)^n = 0

Expanding the terms using the binomial theorem, we get

a0 + a1x + a2ix + a3x^2 - a4y^2 + (a5 + a6i)xy + ··· + an(x + iy)^n = 0

Since the coefficients are all real, we have that the imaginary parts of the terms involving i must sum to zero. So, the equation simplifies to:

a0 + a1x + a2ix + a3x^2 - a4y^2 + a5xy + ··· + anx^n + ani(y^n) = 0

Now, since x and y are both real, we can group the terms into two separate polynomials:

(a0 + a2ix - a4y^2 + ani(y^n)) + (a1x + a3x^2 + a5xy + ··· + anx^n) = 0

Note that the first polynomial has only real coefficients, so if z is a root of the original polynomial, it must also be a root of this first polynomial. Since the imaginary part of the second polynomial sums to zero, it follows that the second polynomial also has x = z as a root. Therefore, x = z is a solution to the same equation.

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Option (a) is the correct answer.  10−6 s

An algorithm using 250 operations needs time if each operation takes 10^-6 s.

Option (a) 10^-6 s is correct. In order to calculate the total time required for an algorithm to perform n operations, we must know the time required to perform a single operation and the number of operations.

We have been given these two pieces of information in the problem statement.

Using the formula, we can find the total time required for the algorithm:

Total time = number of operations × time per operation total time

                 = 250 × 10^-6 s total time = 0.00025 s

                 = 250 microseconds.

Therefore, an algorithm using 250 operations needs 0.00025 s (250 microseconds) if each operation takes 10^-6 s. Option (a) is the correct answer.

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Answer:

plz explain ?

Step-by-step explanation:

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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