if the coefficient of determination for a data set is 0.25 and the SSE for the data set is 24, what is the SST for the data set?

Answer:

Integers include positive Natural Numbers and Negative Natural numbers along with number which has no value called Zero.

Positive Integer=1,2,3,4.........Infinity

Negative Integer= -1,-2,-3,-4,...... -Infinity

Height of Mt.Snowy which is above sea level can be represented in terms of Integers = + 15,718 feet

Height of Green Valley which is above sea level can be represented in terms of Integers = + 237 feet

As, both Mountain snowy and Green valley are above sea level , so it will be represented by positve Integers.

Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)

y - 36 = -12(x - 1)

y - 36 = -12x + 12

12x + y = 12 + 36

12x + y = 48

Answer:

12x + y = 48

Step-by-step explanation:

His cost per wear

He will have 240 wears in 5 years

$180 in dry cleaning and $200 for cost of the suit.

$380 total investment

$1.58/per wear

The total investment for the suit is $380 and the cost per wear is $1.58.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

Jason decides to invest in a new two-piece suit which will cost him $200.

So, the total amount he invested

= $180 in dry cleaning + $200 for cost of the suit.

= $380

and, the cost per wear is

= 380/ 240

= $1.58

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The solution is Option D.

The quadratic equation which has a leading coefficient of 2 and a constant term of -3 is A = 2x² + 3x - 3

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

a) Let the equation be f ( x ) = 2x³ - 3

The equation is not a quadratic equation

b) Let the equation be f ( x ) = -3x² - 3x + 2

The quadratic equation does not have a constant term of -3

c) Let the equation be f ( x ) = -3x³ + 2

The equation is not a quadratic equation

d) Let the equation be f ( x ) = 2x² + 3x -3

Now , the quadratic equation is of the form ax² + bx + c = 0 and has a leading coefficient of 2 and constant term of -3

Hence , the quadratic equation is f ( x ) = 2x² + 3x -3

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The domain of the function f(x) = x5 ln x consists of all positive real numbers since the natural logarithm is undefined for zero and negative numbers.

The domain of a function consists of all possible input values (x-values) where the function is defined. In the case of the function f(x) = x5 ln x, we need to consider where this function is defined.

The domain for a function that involves a natural logarithm (ln), like this one, is always x > 0. This is because the natural logarithm, or ln, is undefined for values of x <= 0. In other words, we can't take a natural logarithm of zero or a negative number.

Therefore, the domain of the function f(x) = x5 ln x is x > 0. All positive real numbers are included in the domain, while zero and negative numbers are excluded.

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Answer:

a. 5712.04

b. 5712.04

c. 79.97

d. 878.71

e. 12.30

f. 67.67

Step-by-step explanation:

B- 17136.12 /30= 5712.04  

C- 5712.0r x 0.014 =79.97  

D- 712.04 x 29= 20,649.16  

   5723.04 x 1 = 5712.04  

                         = 26,361.20/ 30  

                               =878.71  

E- 878.71(0.014)= 12.30  

F- 79.97 -12.30 = 67.67

Helene will accrue a finance charge on her credit card due to not fully repaying her balance. With her APR, the monthly interest is 1.4%, which is then applied to her $5,712.04 balance after making the car down payment. This example illustrates how credit card interest is calculated and applied.

Given Helene's credit card's Annual Percentage Rate (APR) of 16.8%, the total credit card balance after making the $5,000 down payment on a car will be $5,712.04. The APR is divided into 12 months to get the monthly interest rate. Therefore, the monthly interest rate is 16.8 / 12 = 1.4%. The finance charge for the next billing cycle will be 1.4% of  $5,712.04.

Additionally, considering that Helene does not fully repay her balance, she is always subject to a finance charge, which is the cost of borrowing money. The interest cost is calculated by applying the interest rate to the balance left over at the end of the billing cycle.

This scenario is a real-world example of credit card finance and illustrates how credit card interest is computed and applied each billing cycle.

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Kym is wrong because the ratio means that 50% of the students in the cafeteria were boys.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value.

Number of boys = (25 /50) x 50 = 25

Percentage of the number of boys = (25/50) x 100 = 50%

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Kym is incorrect because the ratio of boys to girls being 25:25 means there are equal numbers of boys and girls. Therefore, boys make up 50% of the students, not 25%.

Kym's explanation is incorrect because the ratio of boys to girls being 25:25 means that the number of boys is equal to the number of girls.
Specifically, this ratio can be simplified to 1:1. Since there are 50 students in total and the number of boys and girls is equal, there must be 25 boys and 25 girls.
Therefore, boys make up 25 out of the 50 students, which is actually 50%, not 25%.

The total number of students= 50.

Understand that a ratio of 25:25 means equal parts of boys and girls.

Simplify the ratio 25:25 to 1:1.

The number of boys: 50 students \/ 2 = 25 boys.

The percentage of boys,
(25 boys \/ 50 total students) * 100 = 50%.

Thus, boys constitute 50% of the student population, not 25%.

Final answer:

To solve for K in the equation F=9/5(K−273.15)+32, subtract 32 from both sides, multiply by 5/9, and then add 273.15 to isolate and solve for K.

Explanation:

When solving the equation F=9/5(K−273.15)+32 for K, the goal is to isolate K on one side of the equation. To achieve this, follow these steps:

This formula allows you to convert a temperature from Fahrenheit to Kelvin.

3f(2) =  12

Complete question: How do you Evaluate 3f(2) if f(x) = x²?

The given function is:

f(x) = x²

To find f(2), substitute x = 2 into the function f(x):

f(2)  =  2²

f(2)  =  4

3f(2)  =  3 (4)

3f(2)  =  12

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A person who has reached the age of 35 has lived approximately 1,103,760,000 seconds. This is calculated by multiplying the number of seconds in a year by 35.

To calculate how many seconds a person has lived by the age of 35, we need to calculate the number of seconds in a year and multiply that by 35. There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. Therefore, there are approximately 31,536,000 seconds in a year. If we multiply that by 35, we find that a 35-year-old person has lived approximately 1,103,760,000 seconds.

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Given that vectors are  [tex]\vec a = (3, 6, 0)[/tex] and [tex]\vec b = (- 1, 1, 0)[/tex], the cross product of the two vectors are [tex]\vec a \times \vec b = (0, 0, 9)[/tex].

Vectorially speaking, cross product is a operation between two 3-dimension vectors to generate a third vector perpendicular to the two former. If we know that [tex]\vec a = (3, 6, 0)[/tex] and [tex]\vec b = (- 1, 1, 0)[/tex], then the cross product is:

[tex]\vec a \times \vec b = \left|\begin{array}{ccc}\hat{i}&\hat {j}&\hat{k}\\3&6&0\\-1&1&0\end{array}\right|[/tex]

[tex]\vec a \times \vec b = (0, 0, 3 + 6)[/tex]

[tex]\vec a \times \vec b = (0, 0, 9)[/tex]

The statement is incomplete and there is no possibility to complete it. Hence, we decided to consider the given statement as complete.

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The cross product of vectors a and b is found by creating a matrix with the vectors' components and calculating its determinant. The result in this case is -3î.

To find the cross product of vectors a = 3 î + 6 ĵ and b = -1 î + ĵ, you have to follow the matrix method. We list the unit vectors î, ĵ at the top of our matrix, and then add the components of vectors a and b underneath.

⟮ î ĵ ⟯
⟮ 3 6 ⟯ (from vector a)
⟮ -1 1 ⟯ (from vector b)

We calculate the determinant of this matrix using the rule of Sarrus. The resulting vector will be î(y1*z2 – z1*y2) - ĵ(x1*z2 – z1*x2) which, when plugging in our values, gives 3î - 6î. Therefore, a✕b equals -3î.

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Answer:

James is 12 years old

Joe is 22 years old

Step-by-step explanation:

Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times James's age.

LEt x be the age of James

x+10 be the age of Joe

In 8 years,  James age becomes x+8

In 8 years, Joe's age becomes x+10+8 = x+18

Twice Joe's age is equal to 3 times of James's age

2(x+18)= 3(x+8)

2x+ 36=3x+24

Subtract 2x from both sides and subtract 24 from both sides

x=12

James is 12 years old

Joe is x+10 = 22 years old

Answer:

It's the first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

One pound of grapes costs $1.55. To find the amount x of 3.5 pounds of grapes we would have to multiply 1.55 by 3.5. This would give us the amount x we would have to pay for them.

If we examine the 4 equivalent radios shown in the pictures, we will see that the first one correctly shows this equivalency.

[tex]\frac{1.55}{1} = \frac{x}{3.5}[/tex]

The other 3 pictures show radios that would give us x = 3.5 / 1.55 (second and third) or x = 1.55 / 3.5 (fourth picture).

Therefore, the correct answer would be a)

Answer:

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Step-by-step explanation:

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