Which is the best estimate of the correlation coefficient for the scatter plot ?

Answer:

360 cubic inches

Step-by-step explanation:

To find the volume of a rectangular, multiply its height by its width and by its length. We are given these values above.

8*5=40

40*9=360 cubic inches

Or:

8*5*9= 360 cubic inches

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

This statement is generally true. An algorithm's runtime complexity is a measure of how much time it takes to execute as the size of the input grows.

Algorithms with a runtime that increases at a predictable and limited rate are usually preferred because they are efficient and practical for large input sizes. Common examples of algorithms with predictable runtime growth include linear (O(n)), quadratic (O(n^2)), and logarithmic (O(log n)) algorithms.

On the other hand, algorithms with unreasonable runtime have an exponential or even faster growth in execution time as input size increases. These algorithms are usually impractical for large input sizes because their execution time quickly becomes too large. Common examples of such algorithms include exponential (O(2^n)) and factorial (O(n!)) algorithms. While these algorithms may be appropriate for small input sizes, they are often not feasible for practical applications that involve large input sizes. As a result, it is important to carefully consider the runtime complexity of an algorithm when selecting an appropriate algorithm for a given problem.

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\(L(x,y)=f(a,b)+f_x'(a,b)(x-a)+f_y'(a,b)(y-b)\\\\f(x,y)=x+yx\\(a,b)=(1,6)\\\\f(1,6)=1+6\cdot1=7\\f'_x(x,y)=1+y\\f'_x(1,6)=1+6=7\\f'_y(x,y)=x\\f'_y(1,6)=1\\\\L(1,6)=7+7\cdot(x-1)+1\cdot(y-6)\\L(1,6)=7+7x-7+y-6\\L(1,6)=7x+y-6\)

Average Speed is 23/32 laps per minute.

In the given statement is:

Carlos jogged 5 3/4 laps around the school track in 8 minutes.

What is Average speed?

Average Speed is calculated by dividing the total distance travelled by the time interval. For example, Someone who takes 40 minutes to drive 20 miles north and then 20 miles south (to end up at the same place), has an average speed of 40 miles divided by 40 minutes, or 1 mile per minute (60 mph)

Now, According to the Question:

5 3/4laps = 23/4 laps

23/4 ÷8

=23/4 × 1/8

=23/32

So, 23/32 laps per minute

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Answer:

x - 3y = -27

Step-by-step explanation:

Two parallel lines have equations of the same form; only the constants differ.

Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.

Substituting 3 for x and 10 for y in x - 3y = C, we get    3 - 3(10) = C, or

3 - 30 = C.  Thus, C = -27 and the desired new line is    x - 3y = -27.  

When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.

To minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.

The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.

By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.

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Say it is two o'clock, draw an imaginary line between the hour hand and twelve o'clock to create the north-south line. You know the sun rises in the east and sets in the west so this will tell you which way is north and which way south. If you are in the Southern Hemisphere then it will be the other way round.

Answer: 180.

Step-by-step explanation:  x + 35 + 60 = 180.

Answer:

The answer would be c

Step-by-step explanation:

i choosed c because u have da negative sign in front of 4 and 2 and positive numbers with 1 and 2

Answer:

b

Step-by-step explanation:

I think this means to find the mid-point(?) of the line which by doing that you take both x-values and you add them and then divide by two, and then you take both y-values and add them and then divide by two. So you have: (1+-4)=-3, (-3/2)=-1.5

-1.5=x

(2+-2)=0, (0/2)=0

0=y

(-1.5, 0)

the answer is 69

hope that helped

Answer:

simply

addition property of equality

simplify

multiplication property of equality

Answer:

Your monthly payment on a personal loan of $10,000 at a 5.6% interest rate over a 5-year term would be $191. You would pay $1,488 in total interest over the life of this loan.

Step-by-step explanation:

Answer:

Y=3x because that slope is 3 and if you times it by 4 you get 12

Step-by-step explanation:

Answer:

i think its 34

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5x - 6y = 17

5x - 17 - 6y = 0

5x - 17 = 6y

y = \(\frac{5x - 17}{6}\)

Answer:

Hey there!

Original Equation: 5x-6y=17

Subtract 5x: -6y=17-5x

Multiply by -1: 6y=5x-17

Divide by 6: y= \(\frac{5x-17}{6}\).

Let me know if this helps :)

Answer:

0.444... or 4/9

Step-by-step explanation:

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Divide number of pens given by percentage:

2/0.25 = 8

She has 8 pens total.

The two natural numbers are 11 and 17.

Let's assume the two natural numbers are x and (x + 6), where x is the smaller number. According to the given information, the product of these two numbers is 187. We can express this in an equation:

x(x + 6) = 187

Expanding the equation:

x² + 6x = 187

Rearranging the equation to bring all terms to one side:

x² + 6x - 187 = 0

Now, we can solve this quadratic equation to find the values of x.

Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = 6, and c = -187.

Plugging in these values:

x = (-6 ± √(6² - 4 × 1 ×-187)) / (2 ×1)

Simplifying further:

x = (-6 ± √(36 + 748)) / 2

x = (-6 ± √(784)) / 2

x = (-6 ± 28) / 2

This gives us two possible values for x:

x = (-6 + 28) / 2 = 22/2 = 11

x = (-6 - 28) / 2 = -34/2 = -17

Since we are dealing with natural numbers, x cannot be negative. Therefore, the smaller number is 11 and the larger number is (11 + 6) = 17.

So, the two natural numbers are 11 and 17.

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Answer:

slope = 2 , y- intercept = -8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

- 4x + 2y = - 16 ( add 4x to both sides )

2y = 4x - 16 ( divide both sides by 2 )

y = 2x - 8 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 8

Answer:

the slope is 2 and y-intercept is (0,-8)

Step-by-step explanation:

Step 1: is to subtract 2y from both sides, -4x+2y-2y=-16-2y

Step 2: Simplify, -4= -16-2y

Step 3: Divide both sides by -4, -4x/4=-16/-4-2y/-4

4x/4=x=1

The momentum of the person is zero and the momentum of the bike is 1332.

A person is riding a 14 kg bike at velocity of 18m/s

The momentum of bike = mass x velocity

p = (14 + 60) 18

= 1332

The velocity of the person with respect to the bike is 0

p = mv

p = 60 x 0

p = 0

Therefore, the momentum of the person is zero and the momentum of the bike is 1332.

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Answer:

(13.5)/4 = 3.375

step-by-step explanation

The present value is approximately $624,732.39. To determine which method would give Ms. Lucy Brier the highest winnings, we need to calculate the present value of each option .

Using the appropriate opportunity cost of 8% p.a. compounded quarterly. The method with the highest present value will result in the highest winnings. a) For $30,000 each quarter for 6 years with the first payment received immediately, we can calculate the present value using the formula for the present value of an ordinary annuity: Present Value = C * (1 - (1 + r/n)^(-n*t)) / (r/n). Where: C = Cash flow per period = $30,000; r = Annual interest rate = 8% = 0.08; n = Number of compounding periods per year = 4 (quarterly compounding); t = Number of years = 6. Using the formula, the present value is approximately $151,297.11. b) For $500,000 received immediately, the present value is simply the same amount, $500,000. c) For $120,000 each year for 5 years with the first payment in 1 year's time, we can calculate the present value of an ordinary annuity starting in 1 year: Present Value = C * (1 - (1 + r/n)^(-n*t)) / (r/n). Where: C = Cash flow per period = $120,000; r = Annual interest rate = 8% = 0.08; n = Number of compounding periods per year = 4 (quarterly compounding); t = Number of years = 5.

Using the formula, the present value is approximately $472,347.55. d) For $37,000 each quarter for 4 years with the first payment in 3 months' time, we can calculate the present value of an ordinary annuity starting in 3 months: Present Value = C * (1 - (1 + r/n)^(-n*t)) / (r/n). Where: C = Cash flow per period = $37,000. r = Annual interest rate = 8% = 0.08. n = Number of compounding periods per year = 4 (quarterly compounding). t = Number of years = 4.Using the formula, the present value is approximately $142,934.37. e) For $75,000 each year for 11 years with the first payment in 1 year's time, we can calculate the present value of an ordinary annuity starting in 1 year: Present Value = C * (1 - (1 + r/n)^(-n*t)) / (r/n). Where: C = Cash flow per period = $75,000; r = Annual interest rate = 8% = 0.08; n = Number of compounding periods per year = 4 (quarterly compounding); t = Number of years = 11. Using the formula, the present value is approximately $624,732.39. Comparing the present values, we can see that option e) with $75,000 each year for 11 years starting in 1 year's time has the highest present value and, therefore, would give Ms. Lucy Brier the highest winnings.

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The value of b, given the graph, the vertical and horizontal asymptote, would be - 8 .

At the y-intercept, x = 0. We can plug this into the equation and solve for y:

-4 = (a(0) + b) / (0 + c)

-4 = b / c

The vertical asymptote occurs when the denominator is equal to 0:

x + c = 0

x = -2

Thus, c = 2.

The horizontal asymptote occurs when the limit of the function as x approaches infinity is equal to a constant value:

y = a/c

3 = a/2

a = 3 * 2

= 6

The value of b would therefore be:

-4 = b / 2

b = -8

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A homogeneous system of linear equations is a system where all equations are of the form ax = 0, with no constant terms. It represents a system where the only solution is the trivial solution (all variables equal to zero) or infinitely many solutions.

A homogeneous system of linear equations consists of a set of linear equations with zero constant terms. The general form of a homogeneous system can be represented as:

a₁₁x₁ + a₁₂x₂ + ... + a₁ₙxₙ = 0

a₂₁x₁ + a₂₂x₂ + ... + a₂ₙxₙ = 0

...

aₘ₁x₁ + aₘ₂x₂ + ... + aₘₙxₙ = 0

Here, the variables x₁, x₂, ..., xₙ represent the unknowns, and the coefficients a₁₁, a₁₂, ..., aₘₙ are constants.

A key property of homogeneous systems is that they always have at least one solution, known as the trivial solution, where all variables equal zero. This solution can be easily verified by substituting zero for each variable in the equations. Additionally, if a homogeneous system has nontrivial solutions (solutions other than the trivial solution), it will have infinitely many solutions.

The reason behind the infinite solutions is that if a system has a nontrivial solution (where at least one variable is nonzero), any scalar multiple of that solution will also be a solution. This property is known as the scaling property of homogeneous systems.

Homogeneous systems are extensively studied in linear algebra because they form the basis for concepts such as vector spaces, linear independence, and the null space of a matrix. They also have applications in various fields, including physics, engineering, and computer science.

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A homogeneous system of linear equations is a linear system of equations in which there are no constant terms. i.e., a homogeneous linear system is of the form:

a₁₁ x₁ + a₁₂ x₂ + ... + a₁ₙ xₙ = 0

a₂₁ x₁ + a₂₂ x₂ + ... + a₂ₙ xₙ = 0

....

aₘ₁ x₁ + aₘ₂ x₂ + ... + aₘₙ xₙ = 0 Explain.

Answer:

$430.40

Step-by-step explanation:

7.6% of 400 = 0.076 × 400 = 30.4

Answer:

True

Step-by-step explanation:

To divide fractions, flip one of the fractions then multiply them together.

-1/10 ÷ -3/5 =

-1/10 ÷ -5/3=

-1/10 x -5/3 = 5/30

Because a negative times a negative is a positive the product/quotient is positive.

Answer:

65%

Step-by-step explanation:

Percentage is a fraction or ratio with the denominator as 100:

13 problems / 20 total

13/20

13*5/20*5

65/100

65%

Answer:

the 3rd one

Step-by-step explanation: