(7-2)² - 5 / 5 I dont get the exponent part can someone help me with whole problem

SST measures the variability of the actual data.

SST, or the Total Sum of Squares, is a statistical measure that quantifies the total variability observed in the data. It represents the total variation of the dependent variable (y) without considering any specific model or independent variables.

SST measures the dispersion or spread of the actual data points around their mean. It provides an overall assessment of the total variability present in the data set, regardless of any relationships or models. By calculating the sum of the squared differences between each data point and the mean of the data, SST captures the total variation or deviation from the mean value.

The other options presented do not accurately describe SST. While SST is related to the variability in the data, it does not measure the variability between the data and a linear model (that would be measured by SSE, or Sum of Squares Error). SST also does not guarantee the presence of a relationship between independent and dependent variables, nor does it aim to minimize the error between actual y values and model y values.

In summary, SST represents the total variation in the data and is a fundamental measure in statistical analysis. It provides insights into the overall spread or dispersion of the observed data points, regardless of any specific models or relationships.

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Using substitution method, the cost of hotel per night is $ 85

Let hotel cost per night = x

Let car rental per day = y

4x + 2y = 500 ____(1)

4x + 5y = 740 ____(2)

Solving for x in the equation

Equation (1) - (2)

-3y = - 240

y = 80

Substitute the value of y in (1)

4x + 2(80) = 500

4x + 160 = 500

4x = 500-160

4x = 340

x = $85

Therefore, hotel cost per night is $85

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Answer:

false

Step-by-step explanation:

outliers can be neglected especially when working out the mean

Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.

Explanation:
Outliers are extreme values that lie significantly above or below the mean. They have special considerations because they can affect the interpretation of the mean and standard deviation. For instance, if an outlier is included in the dataset, the mean will be different from when it is excluded, making the mean unreliable. Therefore, outliers should be examined carefully to determine if they represent a genuine value or an error.

Therefore, The statement that "outliers are extreme values above or below the mean that require special consideration" is True.

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Answer:

  N, Y, N, Y, Y, N, Y, N

Step-by-step explanation:

Rational: √121, 5/2, 58/3, -3.76, 0.37

Irrational: √20, √3, √14

__

The square root of a perfect square, such as √121 = √(11^2) = 11, is rational. The square root of any integer that is not a perfect square is irrational.

Any fraction or finite-length decimal number is rational. Any repeated decimal is also rational, regardless of the length of the repeat.

Answer:

Step-by-step explanation:

f(x) = 2x^4(x + 2) + 11x^2(x + 2) + 12(x + 2)

f(x) = (x+2) [2x^4 + 11x^2 + 12]

f(x) = (x + 2)(2x^2 + 3)(x^2 + 4)

The man invested 37900 dollars at 6% and 28022 dollars at 10%.

What is the interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Let x be the amount invested at 6% and y be the amount invested at 10%. We know that:

x + y = total amount invested

0.06x + 0.1y = 9878 (annual interest)

and that y = 2x (because he put twice as much in the lower-yielding account).

Now we can use the second equation to find x:

0.06x + 0.1(2x) = 9878

0.06x + 0.2x = 9878

0.26x = 9878

x = 37900

Now we can use the first equation to find y:

x + y = total amount invested

37900 + y = total amount invested

y = total amount invested - 37900

We know that the annual interest is $9878, so we can substitute that value into the equation:

y = 9878 - 37900

y = -28,022

So the man invested 37900 dollars at 6% and -28022 dollars at 10%. However, the answer to the second value is not a real value as the investment cannot be negative.

Therefore, the man invested 37900 dollars at 6% and 28022 dollars at 10%.

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The order (p) of an autoregressive (AR) process can be determined by Durbin-Watson Statistic, Box-Pierce Chi-square Statistic, Autocorrelation Function (ACF), and Partial Autocorrelation Function (PACF) coefficients., option E is correct.

The Durbin-Watson statistic is used to test for the presence of autocorrelation in the residuals of a time series model.

It can provide an indication of the order of the AR process if it shows significant autocorrelation at certain lags.

The Box-Pierce test is a statistical test used to assess the goodness-of-fit of a time series model.

It examines the residuals for autocorrelation at different lags and can help determine the appropriate order of the AR process.

Autocorrelation Function (ACF): The ACF is a plot of the correlation between a time series and its lagged values. By analyzing the ACF plot, one can observe the significant autocorrelation at certain lags, which can suggest the order of the AR process.

The PACF measures the direct relationship between a time series and its lagged values after removing the effects of intermediate lags.

Significant coefficients in the PACF plot at certain lags can indicate the appropriate order of the AR process.

By considering all of these methods together and analyzing their results, one can make a more informed decision about the order (p) of an autoregressive (AR) process.

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The order (p) of a autogressiove(AR) process best be determined by the :

A. Durbin-Watson Statistic

B. Box Piece Chi-square statistic

C. Autocorrelation function

D. Partial autocorrelation fuction coeficcents to be significant at lagged p

E. all of the above

9514 1404 393

Answer:

  2 feet per year

Step-by-step explanation:

In the 3 years between the 7th and 10th, the tree grew 6 feet from 25 ft to 31 ft. The rate of growth is ...

  (6 ft)/(3 yr) = (6/3) ft/yr = 2 ft/yr

Answer:

0.5 probability

Step-by-step explanation:

1/6+1/6+1/6= 0.5

I'm assuming the integral is

\(\displaystyle \int \frac{dx}{x (\ln(x^2))^5}\)

We have

\(\ln(x^2) = 2 \ln|x| \implies (\ln(x^2))^5 = 32 (\ln|x|)^5\)

Then substituting \(y=\ln|x|\) and \(dy=\frac{dx}x\), the integral transforms and reduces to

\(\displaystyle \int \frac{dx}{x(\ln(x^2))^5} = \frac1{32} \int \frac{dy}{y^5} \\\\ ~~~~~~~~ = \frac1{32} \left(-\frac1{4y^4}\right) + C \\\\ ~~~~~~~~ = -\frac1{128(\ln|x|)^4} + C\)

which we can rewrite as

\(128 (\ln|x|)^4 = 8\cdot2^4(\ln|x|)^4 = 8 (2\ln|x|)^4 = 8 (\ln(x^2))^4\)

and so

\(\displaystyle \int \frac{dx}{x (\ln(x^2))^5} = \boxed{-\frac1{8(\ln(x^2))^4} + C}\)

Answer:

B. n ≥ 12

Step-by-step explanation:

As you can see, the number is represented by n. So when n is no less than 12, it means that n is greater than 12 but can also be equal to it.

Therefore, the answer is n ≥ 12

Answer:

AAA

Step-by-step explanation:

To find the product of -2 and 5 using the integer tiles and the number line, you can use the addition method.

Let us understand this with the help of an example.

To find -2 × 5 using integer tiles, follow these steps:

1. Take two red tiles to represent -2. 2.

Take five yellow tiles to represent 5. 3.

Combine the two sets of tiles. 4.

The final count of the tiles will be negative as we had negative tiles in the beginning. Hence the product will be -10.

To find -2 × 5 using a number line, follow these steps:

1. Start at zero on the number line

. 2. Move two places to the left because we have to represent -2.

3. From the point you reach, move five places to the right because we have to represent 5.

4. The final point on the number line is -10, which is the product of -2 and 5.

Therefore, the product of -2 and 5 is -10.

This is how we can use addition to find the product of -2 and 5 using integer tiles and the number line.

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Answer: 13

Step-by-step explanation:

The square root and exponent cancel out and you are left with 13.

Answer:

where is the equal to sign????

The solution is [ x(t), y(t) ] = [150e^(-t/7) + 6(25e^(t/7)), (5/7)e^(-t/7) - (2/7)e^(t/7)]

Given,[ x′ y′]=[ 1 −25 1 −7 ][ x y ]x(0)=1,y(0)=−1

We can write the system of linear differential equations as follows :x′ = x - 25y .....(1)y′ = x - 7y .....(2)

Taking Laplace transform of both the sides, we get, s X - x(0) = X - 25Y ⇒ s X - 1 = X - 25Y

Similarly, taking Laplace transform of equation (2), we get, sY - y(0) = X - 7Y ⇒ sY + 1 = X - 7Y

Multiplying equation (1) by 7 and equation (2) by 25, we get7x′ - 175y′ = 7x - 175y .....(3)

25x′ + y′ = 25x - 7y .....(4)

Taking Laplace transform of equation (3) and (4), we get,7sX - 175Y - (7X - y(0)) = 7X - 175Y

Similarly, 25sX + sY - (25X + y(0)) = 25X - 7Y

Simplifying the above expressions, we get,(7s + 1)X - 175 Y = 1 .....(5)

(25s + 1)X + sY = -6 .....(6)

Solving the equations (5) and (6), we get, X = 150/(7s + 1) + 6(25s + 1)/(7s + 1)Y = 1/7[(s + 25)X - 1]

Hence, x(t) = Laplace^-1 [X] = Laplace^-1 [150/(7s + 1) + 6(25s + 1)/(7s + 1)] = 150e^(-t/7) + 6(25e^(t/7))y(t)

                  = Laplace^-1 [Y] = Laplace^-1 [1/7[(s + 25)X - 1]] = (5/7)e^(-t/7) - (2/7)e^(t/7)

Therefore, x(t) = 150e^(-t/7) + 6(25e^(t/7)) and y(t) = (5/7)e^(-t/7) - (2/7)e^(t/7).

Hence, the solution is [ x(t), y(t) ] = [150e^(-t/7) + 6(25e^(t/7)), (5/7)e^(-t/7) - (2/7)e^(t/7)].

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The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

17.28

Step-by-step explanation:

All u gotta do is 9% of 192 (just search that up)

Answer:

a

Step-by-step explanation:

Answer:

2 units up for every one unit across, or just simply 2

Step-by-step explanation:

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Step-by-step explanation:

B 27 bags of chips by 5 people

Answer:

B) 5 people share 27 brownies.

Step-by-step explanation:

This is the answer because:

1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.

Hope this helps! :D

Answer and Step-by-step explanation:

2(5x - 5) = 6x + 50

Distribute the 2 to the 5x and -5.

10x - 10 = 6x + 50

Add 10 to both sides, and subtract 6x from both sides.

4x = 60

Divide both sides by 4.

x = 15

5y + 5 = 7y - 9

Subtract 5 from both sides, and 7y from both sides.

-2y = -14

Divide both sides by -2.

y = 7

#teamtrees #PAW (Plant And Water)

The value of x for the given quadratic expression is x = 5 ± √11.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x-5)²=33. The value of x will be calculated as,

3(x-5)²=33

(x - 5 )² = 11

(x - 5 )  = ±√11

x = 5 ± √11

Therefore, the value of x for the given quadratic expression is x = 5 ± √11.

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With these three pieces of information, you can apply the SAS Similarity Theorem to conclude that the triangles are similar.

To use the Side-Angle-Side (SAS) Similarity Theorem to prove that two triangles are similar, you would need the following information:

1. Side-Side Ratio: You need to know that the ratio of the lengths of corresponding sides of the triangles is equal.

2. Angle: You need to know that the included angle between the corresponding sides of the triangles is equal.

3. Side: You need to know that one pair of corresponding sides of the triangles is proportional.

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Investing $500 into account that collects 1% interest each month and add an $50 each week for 5 months, your balance will be $1,275.00.

To start, you invested $500 into an account that collects 1% interest each month. This means that after the first month, your balance will have grown by 1% of $500, or $5.00. So at the end of the first month, your balance will be $505.00.

Next, you add an additional $50 each week. This means that after the first week, your balance will have grown by $50, bringing your balance to $555.00. After the second week, your balance will have grown by another $50, bringing it to $605.00.

We can continue this pattern for 5 months, or 20 weeks. So after the third week, your balance will be $655.00, and after the fourth week, your balance will be $705.00.

Continuing this pattern for the next 16 weeks, your balance will continue to grow with the additional $50 each week and the 1% interest each month. At the end of the 5 months, your balance will be approximately $1,275.00.

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A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

A triangle is isosceles triangle when the two sides and two angle of the triangle in equal in measure.

The area of the isosceles triangle is given as,

\(A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\)

Here, \(a\) is the measure of equal sides and \(b\) is the measure of third side.

Given information-

The arrows of board game are congruent isosceles triangles connected at their bases.

isosceles triangles are connected at their bases.

The base of each triangle measures 2 centimetres

The perimeter of each triangle is 10 centimetres.

The perimeter of a triangle is sum of all its sides.

As the given triangle is isosceles triangle. Thus both the sides of the triangle should be equal.

Suppose the equal sides is x centimetres. The measure of third side is given which is equal to 2 centimetres. Thus,

\(x+x+2=10\\2x=10-2\\2x=8\\x=\dfrac{8}{2} \\x=4\)

Hence the length of the equal sides of the isosceles triangle is 4 cm.

Using the above formula as,

\(A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4} }\\A=\dfrac{1}{2}\times 2\times \sqrt{4^2-\dfrac{2^2}{4} }\\A= \sqrt{16-\dfrac{4}{4} }\\A=3.871\)

Hence the area of one plastic arrow triangle is 3.71 square centimetre. The approximate total area of the plastic triangles on the spinner is twice of it. Thus,

\(A=3.71\times2\\A=7.7\)

Thus the approximate total area of the plastic triangles on the spinner is 7.7 squared centimetre.

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Answer:

The correct answer would be option C. 7.7 square centimeters

Step-by-step explanation:

Just got it right on edge. :)

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