Which of the following can help with independence diagnostics? A. The Durbin-Watson test
B. A pairwise plot of all predictors C. Residuals vs. index plot D. t-tests for individual regression parameters E. Residuals vs. time plot F. A successive residual plot

Answer:

let x represent the time it took Caroline to complete the puzzle .

let 3x represent the time it took Felix to complete the puzzle.

let 0.25x represent the time it took Graham to complete the puzzle

the the ratio of their time would be

x:3x:0.25x

The ratio of their time is 4 :12 : 1.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

let the time taken by Caroline be x.

So, the time taken by Graham is x/4.

and, the time taken by Felix is 3x.

So, the ratio of time

Caroline time: Felix time: Graham time

= x: 3x : x/4

= 1 : 3 : 1/4

= 4 : 12 : 1.

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Answer:

4 divided by 25 is 0.16

Step-by-step explanation:

Start by setting it up with the divisor 4 on the left side and the dividend 25 on the right side.

The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

Move down the 2nd digit of the dividend (5)

The divisor (4) goes into the bottom number (25), 6 time(s). Therefore, put 6 on top:

Multiply the divisor by the result in the previous step (4 x 6 = 24) and write that answer at the bottom:

Subtract the result in the previous step from the number written above it. (25 - 24 = 1) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 25 divided by 4 calculated using Long Division is:

6

1 Remainder

Answer:

0.625

Step-by-step explanation:

i think it's 0.625

Answer:

\(\huge\boxed{a^6b^3}\)

Step-by-step explanation:

Because every term here is multiplied, simply count the number of 'a's and 'b's.

Hope it helps :) and let me know if you want me to elaborate.

The value of P(-2) and P(1) for each function:

P(-2) = 17 and P(1) = -1 for the function P(x) = 2x² - 4x + 1.

P(-2) = -23 and P(1) = 10 for the function P(x) = \(2x^3\) + 5x + 3.

To find P(-2) and P(1) for each function, we simply substitute -2 and 1 respectively for x in the given functions and evaluate.

For P(x) = 2x² - 4x + 1:

To find P(-2), we substitute -2 for x:

P(-2) = 2(-2)² - 4(-2) + 1

P(-2) = 2(4) + 8 + 1

P(-2) = 17

To find P(1), we substitute 1 for x:

P(1) = 2(1)² - 4(1) + 1

P(1) = 2 + (-4) + 1

P(1) = -1

Therefore, P(-2) = 17 and P(1) = -1 for the function P(x) = 2x² - 4x + 1.

For P(x) = \(2x^3\) + 5x + 3:

To find P(-2), we substitute -2 for x:

P(-2) = 2(-2)³ + 5(-2) + 3

P(-2) = -16 - 10 + 3

P(-2) = -23

To find P(1), we substitute 1 for x:

P(1) = 2(1)³ + 5(1) + 3

P(1) = 2 + 5 + 3

P(1) = 10

Therefore, P(-2) = -23 and P(1) = 10 for the function P(x) = \(2x^3\) + 5x + 3.

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the answer i got was 18.12

Answer:

6+7√3  or  18.12

Step-by-step explanation:

7√3+2√9= 7√3+2*3= 6+7√3

6+7√3= 18.12

Answer: 2

Step-by-step explanation:

They are saying that x equals 2, and the question is what the function is defined at when x = 2

Going to x = 2, the y value is just 2

The answer is 4.

f(2)=4

Answer:

Step-by-step explanation:

B

Answer:

It is -3x + y = 5

Step-by-step explanation:

So the answer is D

Answer:

Step-by-step explanation:

so go to the f g c and multiply my 6

Answer:

A negative number

Step-by-step explanation:

Answer:

It would be the first and the third one.

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.

2y² * 3x = 6xy²

8.

4v³ * vu²

\(= 4 \times 1 \times (v^{3+1})( u^2)\)

= 4v⁴u²

9.

4a³b² * 3a⁻⁴b⁻³

\(= 4 \times 3 \times a^{(3+(-4))} \times b ^{(2+(-3))}\)

= 12a⁻¹b⁻¹

\(= \dfrac{1}{12ab}\)

10.

x²y⁻⁴ * x³y²

\(= x^{2+3}y^{(-4)+2}\)

\(= x^{5}y^{-2}\)

\(= x^{5} \times \dfrac{1}{y^{2}}\)

11.

(x²)⁰ = 1

12.

(2x²)⁻⁴

\(= (2^{-4} \times x^2^{(-4)})\)

\(= \dfrac{1}{16x^8}\)

Answer:

Improper fraction: 11/4

Decimal: 2.75

Mixed number form: 2 3/4

Answer: 2.75

Step-by-step explanation:you can do 11/1 x 1/4 to get the answer.

Answer:

u = 10 ft

Step-by-step explanation:

cuboid volume = w × h × l

width * hight * length

560 = 7 × 8 × u

u = 10 ft

Answer:

u = 10 ft

Step-by-step explanation:

Volume of a rectangular prism = lwh

where:

Given:

Substitute the given values into the formula and solve for h:

⇒ 560 = 8 × 7 × u

⇒ 560 = 56u

⇒ 56u ÷ 56 = 560 ÷ 56

⇒ u = 10 ft

Therefore, the height of the prism is 10 ft.

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Answer:

162

=12h+30w

=12(6)+30(3)

=72+90

=162

​

Therefore, The Coordinates of the THIRD VERTEX is:  ( 5, -3 )

        Calculate the midpoint of the given vertices:

        MidPoint = ( -5 + 5/2,  3 + 3/2 )

        MidPoint = ( 0, 3 )

        Distance = √( -5 -5 )^2 + ( 3 - 3 )^2

        Distance = √( -10 )^2  +  (0)^2

        Distance = √100

        Distance =  10

        Side Length =  10/√3

        Side Length = 10/1.7

        Side Length = 5.88

        Height = √3/2  *  Side Length

        Height  = 1.7/2  *  5.88

        Height  =  5

Since the origin lies inside the triangle, The Third Vertex will have a Positive  X-Coordinate and a Negative Y-Coordinate.

       ( x, y )

        x  =  -5 + x/2

        y   =  3 + y/2

       x  =  5

       y  = -3

        Hence, The Coordinate  of the Third Vertex is:  ( 5, -3 )

I hope this helps!

Answer:

$4.70 + $4.75m = $18.95 which is 3 miles in total.

Step-by-step explanation:

First make the numbers without the variables on one side.

4.75m = 18.95-4.70

Then subtract.

4.75m = 14.25

Finally divide the two numbers.

14.25 ÷ 4.75 = 3 miles

Answer:  m = 3  or 3 miles

Answer:

3 miles

Step-by-step explanation:

Pick up fee = $4.70

Charge = $4.75 per mile therefore this is expressed as 4.75 x m (or 4.75m)

18.95 = 4.7 + 4.75m (add the pick up fee plus fare per mile)

Subtract 4.7 from both sides then divide 4.75 from both sides.

This leaves you with m = 3

Aaron has to read 41 pages on the 6th day to reach his goal.

What is the speed of reading?

Any of the many methods that promise to increase one's reading speed include speed reading. Chunking is one speed-reading technique, as is reducing subvocalization. The many available speed-reading training programs may utilize books, videos, software, and seminars.

We have,

26 pages per day for 6 days:

26×6=156,

So Aaron should read 156 pages by the 6th day to reach his goal,

During the first 5 days, he reads 23 pages per day then,

23 × 5 = 115

That’s how many pages he’s already read.

156-115=41

Hence, Aaron has to read 41 pages on the 6th day to reach his goal.

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Answer:

D) \(a(n)=7+(n-1)*12\)

Step-by-step explanation:

It is D since you can replace \(n\) for any value on the \(x\) side of the table and it will give you its corresponding \(y\) value.

SOLUTION:

Step 1:

We are to find an appropriate expresson for the range for the number of Chirps.

Step 2;

The equation given is y = 5x - 30

The range of x given;

Step 3:

We substitute both the lowest and greatest value into the equations;

Step 4:

It is very obvious that the number of Chirps can never be negative so we need to ignore the -180 and set our range to start from zero.

We now have;

Answer:

k = -5

Step-by-step explanation:

x²-12x+1 = kx - 11  ==> since both graph intersect

(4)²-12(4)+1 = k(4) - 11   ==> plug in 4 for x

16 - 48 + 1 = 4k - 11

-32 + 1 = 4k - 11  ==> simplify

-31 = 4k - 11  ==> simplify

-31 + 11 = 4k - 11 + 11  ==> add 11 on both sides to isolate k

-20 = 4k ==> solve for k

k = -20/4

k = -5

Answer:

the value of k comes out to be -5

Answer:

2

Step-by-step explanation:

Use the area of a triangle, given 3 points formula:

A:  (x1, y1) = (0,4)

B:  (x2, y2) = (2,4)

C:  (x3, y3) = (-1,6)

Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|  

plug in all the coordinates

Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|

         = 1/2|0 - 8 + 12 + 4 - 4 - 0|

         = 1/2|-8 + 12 + 4 - 4|

         = 1/2|4|

         = 2

The dice are supposed to have six sides, therefore there are still 6 possible results.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization. It may be used, for instance, to deduce details about the anticipated frequency of events. Additionally, the mechanics and regularities that underlie complex systems are described using probability theory.

Given

Even numbers are written on the faces of a six-sided number cube: 2,4,6,8,10 and 12.

Probability is,

P(2)= 1/6

P(4)=1/6

P(6)=1/6

P(8)=1/6

P(10)=1/6

P(12)=1/6

The dice are supposed to have six sides, therefore there are still 6 possible results.

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The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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Answer:

12.56 kilometers

Step-by-step explanation:

Formula for area of a circle A= πr^2

Insert the variables into the formula

A= (3.14) 2^2

A= (3.14) 4

A = 12.56

Answer:

88 flowers

Step-by-step explanation:

(F)=4×22= 88 flowers

Answer:

sadadacvfbrdgsdzf

Step-by-step explanation:

To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.

Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.

Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.

Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.

Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.

Multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Base Area * Height = (1/2) * base * height * H.

If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.

The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.

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