The correlation coefficient, r, is a number between 0 and 1 O and on O-o and o 0-10 and 10 0 and 10 0 and 100 0-1 and 1

That would just be 2x(1-y2)^(1/2)

Step-by-step explanation:

you dont need any steps because i told you the answer :/

Answer: The form of payment that Courtney can lose and not get back would be cash.

Step-by-step explanation:

The reason why cash couldn't be returned back because it doesn't have a piece of U.S money wouldn't have a specific certified owner that they can be returned to.

Other forms of payment like credit cards, debit cards, and checks have specific bank information with the card holder's name on it so if Courtney actually lost one of those, she would be most likely to receive it back without any complicated  verification process.

Therefore, Courtney would not be able to receive her cash back if she accidentally loses it. Hope this helps you with your Imagine Math homework or assignment!

-From Certified 5th Grade Honors Student

The volume of the solid is 4/5π.

The volume of a solid generated by revolving a region around a line is given by V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region, respectively, and y is a function of x.

In this case, the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Therefore, the volume of the solid generated when the region is revolved about the y-axis is given by

V = ∫0 1 π(y)2dy

= ∫0 1 πx6dx

= π/7

= 4/5π

The volume of the solid is calculated using the formula V = ∫a b π(y)2dy, where a and b are the lower and upper limits of the region and y is a function of x. In this case, the lower limit is a=0 and the upper limit is b=1, since the region is bounded by the graph of y=x3, the y-axis, and the horizontal line y=1. Integrating from a=0 to b=1 gives the volume of the solid as V = ∫0 1 πx6dx = π/7 = 4/5π.

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On solving the provided question, we can say that - the answer of the following equation n is  \(I = -π/2(cos9 - cos0) = π/2(1-cos9)\)

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. A formula that claims two formulae are equal is the definition of an equation in algebra in its most basic form. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate.

In polar coordinates \(x = rcosφ, y = rsinφ, x^2 + y^2 = r2. dA = dxdy = rdrdφ\)

Region is:  \(0≤r≤3, 0≤φ≤π.\)Our integral I = ∫∫sinr2rdrdφ =π∫sinr2rdr = π/2(-cosr2) with substitution from 0 to 3

\(I = -π/2(cos9 - cos0) = π/2(1-cos9)\)

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Answer: 16q5r2

Step-by-step explanation:

Answer:

E. 36

Step-by-step explanation:

You have to do a² + b² = c²

Plug in

15² + b² = 39²

225 + b² = 1521 (subtract 225 on both sides)

√b² = √1296 (square root on both sides)

b = 36

Hope this helps ya!

The length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

The length of DF = 15 units

The length of DE = 39 units

As we know, Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.

Applying Pythagoras theorem:

DE² = DF² + EF²

Plug the known values:

39² = 15² + EF²

1521 = 225 + EF²

EF² = 1296

EF = √1296

EF = 36 units

Thus, the length of the EF in the right-angle triangle is 36 units if the length of DF is 15 units the length of DE is 39 units option (E) is correct.

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Answ

Step-by-step explanation:

3200%

The solution of the given system of differential equations is:

x(t) = [1/2 + 3/2e^t + e^t(t-2)]e^t

y(t) = [1/2 + 3/2e^t - 2e^t(t+1)]e^t

We are given the system of differential equations as:

dx/dt = 4y e^t

dy/dt = 9x - t

with initial conditions x(0) = 1 and y(0) = 1.

Taking the Laplace transform of both the equations and applying initial conditions, we get:

sX(s) - 1 = 4Y(s)/(s-1)

sY(s) - 1 = 9X(s)/(s^2) - 1/s^2

Solving the above two equations, we get:

X(s) = [4Y(s)/(s-1) + 1]/s

Y(s) = [9X(s)/(s^2) - 1/s^2 + 1]/s

Substituting the value of X(s) in Y(s), we get:

Y(s) = [36Y(s)/(s-1)^2 - 4/(s(s-1)) - 1/s^2 + 1]/s

Solving for Y(s), we get:

Y(s) = [(s^2 - 2s + 2)/(s^3 - 5s^2 + 4s)]/(s-1)^2

Taking the inverse Laplace transform of Y(s), we get:

y(t) = [1/2 + 3/2e^t - 2e^t(t+1)]e^t

Similarly, substituting the value of Y(s) in X(s), we get:

X(s) = [(s^3 - 5s^2 + 4s)/(s^3 - 5s^2 + 4s)]/(s-1)^2

Taking the inverse Laplace transform of X(s), we get:

x(t) = [1/2 + 3/2e^t + e^t(t-2)]e^t

Hence, the solution of the given system of differential equations is:

x(t) = [1/2 + 3/2e^t + e^t(t-2)]e^t

y(t) = [1/2 + 3/2e^t - 2e^t(t+1)]e^t

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National opinion polls are conducted to gather information about the opinions and attitudes of a representative sample of people across a country. The sample size used in these polls tends to range from 1,000 to 1,200.

It is considered to be statistically significant enough to provide accurate results. The sample size is carefully chosen to ensure that it represents the diversity of the population being studied, with a range of ages, genders, ethnicities, and socioeconomic backgrounds. Using a larger sample size, such as 50,000 to 100,000 or even 1 million to 5 million, may not necessarily result in more accurate results. Instead, it can lead to higher costs, longer data collection times, and more complex analysis. Therefore, the optimal sample size for national opinion polls is typically in the range of 1,000 to 1,200.

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Answer:

The answer to your problem is, \(\frac{16}{35}\)

Step-by-step explanation:

= \(\frac{2}{5} / \frac{8}{7}\)

= \(\frac{2*8}{5*7}\)

= \(\frac{16}{35}\)

Thus the answer to your problem is, \(\frac{16}{35}\)

Hope this is as simple you can get.

Answer:

We have the equation of the line as : 4x+2y=12

Step-by-step explanation:

Now 4x+2y=12

=> 2y = 12 - 4x

=> y = 6 - 2x

A line with a slope m and y-intercept c can be written as y = mx + c

In the case of y = -2x -...

Answer:

the tim age is 6 years

Step-by-step explanation:

The computation of the tim age is shown below:

Given that

Sam age is 42 years

And, sam would be 7 times than the tim age

Based on the above information

The tim age would be

= sam age ÷ number of times

= 42 ÷ 7

= 6 years

hence, the tim age is 6 years

The same should be considered

Answer:

100% of 180 = 180

25% of 180 = 45

-75% of 180 = -135

37.5% of 180 = 67.5

Step-by-step explanation:

I looked them up on an app so I hope its right!

Answer:

(x+15)+(3x-17)=90

4x-2=90

x=92/4=23

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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slope = rise/run

rise = -3 ... move down 3 units

run = 4 .... move to the right 4 units

============================================

Work Shown:

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (-17-(-2))/(24-4)

m = (-17+2)/(24-4)

m = -15/20

m = -3/4 is the slope

----------------

It basically means "move down 3 units, and move to the right 4 units"

So, slope = rise/run = -3/4

rise = -3 = move down 3 units

run = 4 = move to the right 4

You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.

Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.

Answer:

I can't really answer but you could download photomath it basically answers these questions by itself

Step-by-step explanation:

hope this is enough

Answer:

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

Answer:

0.161

Step-by-step explanation:

0 . 7 × 0 . 23

= 0.161

16=4

49=7

289=17

Step-by-step explanation:

The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

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The claim to be indicated is that there is enough evidence to reject the null hypothesis and the test statistic would be 21.75

A type of statistical inference called hypothesis testing uses data from a sample to make inferences about a population parameter or population probability distribution. The parameter or distribution is initially assumed in a preliminary manner. The null hypothesis is also known as H0, because it is the default assumption. Then, the opposite of what the null hypothesis claims is characterized as an alternative hypothesis (designated Ha). Using sample data, the hypothesis-testing technique determines whether or not H0 may be rejected. If H0 is rejected, the statistical inference is that the alternative hypothesis Ha is correct.

How to solve?

If the die is fair, the probability of getting any of the six numbers is equal (1/6).

The test statistic (TS) is given as:

TS=∑(Oi−Ei)2Ei∼χ2n−1

TS=(4−8)^2/8+(13−8)^2/8+…(2−8)^2/8

TS=21.75

In conclusion, the die is unfair.

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The total cost of the dinner for Sherita, her brother, and her parents is $41.00.

To find the total cost of the dinner for Sherita, her brother, and her parents, we need to multiply the cost of the dinner by the number of people.

Let's assume there are 4 people in total (Sherita, her brother, and her parents).

Using the Distributive Property, we can multiply the cost of the dinner by the number of people:

Total cost = $10.25 * 4

Now, let's do the mental math:

$10.25 * 4 = $41.00

Therefore, the total cost of the dinner for Sherita, her brother, and her parents is $41.00.

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Answer:

\(\sqrt[15]{x^7}\)

Step-by-step explanation:

If we have the expression

\(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\), we have to think about exponent rules.

If we have \(a^b \div a^c\), then the value will be equal to \(a^{b-c}\).

So \(\frac{x^{\frac{4}{5}}}{x^{\frac{1}{3}}}\) simplified will be \(x^{\frac{4}{5} - \frac{1}{3}}\)

Converting \(\frac{4}{5}\) and \(\frac{1}{3}\) into fifteenths (lcm) gets us \(\frac{12}{15} - \frac{5}{15} = \frac{7}{15}\).

We can convert \(x^{\frac{7}{15}}\) into a radical by taking the denominator root of x to the numerator.

\(\sqrt[15]{x^7}\).

Hope this helped!

Answer:

6

Step-by-step explanation:

3 x 2

The result of 8 divided by 2400 is approximately 0.0033. This means that if we have 2400 equal parts, each part will have a value of 0.0033. Alternatively, we can also say that 8 is 0.0033 times the value of 2400.

The division of 8 by 2400 can be written as:

8 ÷ 2400

To perform this division, we can use long division method or a calculator. Using a calculator, we get:

8 ÷ 2400 = 0.00333333...

Rounding this result to four decimal places, we get:

8 ÷ 2400 ≈ 0.0033

Therefore, the result of 8 divided by 2400 is approximately 0.0033. This means that if we have 2400 equal parts, each part will have a value of 0.0033. Alternatively, we can also say that 8 is 0.0033 times the value of 2400.

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The complex number (1 + 2i) - (-2 + 16) can be expressed in Euler form as -1.29e^(7.28i).(option B).

To express the given complex number in Euler form, we first simplify the expression: (1 + 2i) - (-2 + 16) = 3 - 2i. Next, we can write the complex number in polar form by finding the magnitude (r) and argument (θ) of the complex number. The magnitude r is given by r = sqrt(3^2 + (-2)^2) = sqrt(13). The argument θ can be calculated as θ = arctan(-2/3). Finally, we can express the complex number in Euler form as -1.29e^(7.28i), where -1.29 is the magnitude (r) multiplied by the cosine of the argument (θ), and 7.28 is the sine of the argument (θ).

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The another point is  (2,23) of the function y(x).

What does regression analysis mean?

The given Regression is -

y (X) = 30 - 3. 5 x .......................(1)

now   when x = 0 , y(x) = 30    ..........................(1)

thus ,   y- intercept  = 30

one point is    ( 0 , 30 )

Again taking   x = 0  we get

             y(x) =   30 - 3. 5  x 2    by (1)

               y(X) = 23

Thus the another point is  (2,23).

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Answer:175 are not suvs

Step-by-step explanation:

Answer: 175

Step-by-step explanation: