Which of these r-values represents the weakest correlation?
A. -0.35
B. -0.55
C. -0.75
D. -0.15

Answer: y = x - 6

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Since the line has a slope of 1, we can substitute m = 1 into the equation.

y = 1x + b

To find the y-intercept b, we can use the fact that the line passes through the point (-1,-7). Substituting x = -1 and y = -7, we get:

-7 = 1(-1) + b

b = -6

Now we can substitute m = 1 and b = -6 into the slope-intercept form of the equation:

y = 1x - 6

Simplifying the equation gives us:

y = x - 6

The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)

The coordinates of point A = (-5, -4),

The coordinates of the point B = (-3, 3)

Let the point at the distance 3/4 from A to B = P

The coordinates of point 3/4 from A to B = P

At the x-coordinate, the distance from B to A is =  -3-(-5) = 2 units.

At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.

Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)

                                            P = (-5 + (3/4×(2), -4 + 3/4×(7))

                                            P = (-3.5, 1.25)

Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).

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The complete question is -

What are the coordinates of the point 3/4 of the way from A to B?

If the rubik's cube of length 18CM is divided into 9 equal cubical pieces then the length of each small cubical piece is 9cm.

Let the edge of the small cubes =x cm.

Then, Volume of larger cube = 9×Volume of small cubes.

(18)³ = 9 × x³

5832 = 9 × x³

x³ = 5832/9

x = ³√648

x = 9cm (approx)

Hence, the length of 9 equal cubicle pieces is 9cm each.

A cube is a solid three-dimensional figure with six square faces, eight vertices, and twelve edges that is used in mathematics or geometry. Also claimed to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent real-world example and is useful for boosting cognitive function. Similar to this, there are numerous examples in everyday life, such as six-sided dice, etc.

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Answer:

hope this is it

Step-by-step explanation:

i finished the assignment.

Answer:

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Another point on the line y = 9/5(x) + 2  is (0, 2).

The correct option is B.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The slope of the line is 9/5 and passes through the point (-10, -16).

So, the equation of the line is,

y + 16 = 9/5(x + 10)

y + 16 = 9x/5 + 18

y = 9/5(x) + 2

From the given choices,

Substituting x = 0,

we get,

y = 2

another point on the line is (0, 2).

Therefore, another point on the line is (0, 2).

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The given equation x/4 - y = -2(x/y) can be expressed in a verbal sentence as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

How to express the mathematical equation in the form of a verbal sentence?    

To express the mathematical equation in the form of a verbal sentence, we have to express the operations by using sentences.

Let's take an example,

                   x + y = 4.

Then the verbal form will be the sum of two numbers is 4.

Hence, the given expression can be expressed as the difference between the fourth fraction of x and y is equal to minus of twice the fraction of x and y.

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The area of the dinner plate is 1017.36 cm^2 if the circumference of the given dinner plate is 113.04 cm.  

The circumference of the dinner plate is

= 113.04 cm

The circumference of a circular region is

= 2πr

Therefore, to find the r (radius) of the dinner plate,

113.04 = 2πr

To find the radius of the dinner plate,

r (radius) = 113/(2π)

r = 113/(2× 3.14)

r = 18 cm

The area of a circular region is

= π × (r)^2

The area of the dinner plate is

= 3.14× (18) ^ 2

= 1017.36 cm ^ 2  

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92 percent of balloons do not pop while they are being filled.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 2 out of every 25 balloons pop while they are being filled.

Number of balloons do not pop =25-2

= 23

Now, the percentage is 23/25 ×100

= 23×4

= 92%

Therefore, 92 percent of balloons do not pop while they are being filled.

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The required volume of the given composite space figure is 1512 \(cm^3\).

Given that, the rectangular pyramid fits exactly on top of a rectangular prism. The length of the prism is 18 cm, width is 6 cm and height is 9 cm. The length of the pyramid is 18 cm, width is 6 cm and height is 15 cm.

To find the volume of the composite figure formed by the rectangular pyramid on top of the prism, find the volume of prism and pyramid and then add it .

The volume of the prism is given by V1 = length × width × height.

The volume of the pyramid is given by V2 = length × width × height.

The volume of the composite figure is V = V1 +V2.

By using the given data and formula, find the volume of the prism,

Volume of prism V1 = length × width × height.

Volume of prism V1 = 18 × 6 × 9.

Thus, Volume of prism V1 = 972 \(cm^3\) .

By using the given data and formula, find the volume of the pyramid,

Volume of pyramid V2 = (length × width × height)/3.

Volume of pyramid V2 = (18 × 6 × 15)/3.

Thus, Volume of pyramid V2 =  1620/3= 540 \(cm^3\) .

By using above volumes, find the volume of the composite figure.

V = V1 +V2.

V = 972 + 540.

V = 1512 \(cm^3\) .

Hence, the required volume of the given composite space figure is

1512 \(cm^3\)

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g(x) is shifted 8 units to the right and 3 units up is the correct answer.

Given the graph of a function expressed as:

g(x) = (x - 8)^3 + 3

The graph of g(x) = (x - 8)^3 + 3 is obtained by taking the graph of the parent function f(x) = x^3 and performing two transformations:

A horizontal shift of 8 units to the right. This means that the graph of g(x) will be shifted to the right by 8 units compared to the graph of f(x).

A vertical shift of 3 units up. This means that the graph of g(x) will be shifted upwards by 3 units compared to the graph of f(x).

Therefore, the correct answer is: g(x) is shifted 8 units to the right and 3 units up.

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Answer:

What is the weight of the orange?

Step-by-step explanation:

An exquisite way to solve this problem is to look closely, there are key words, that can help you. Now I am not always accurate! But I hope this helps!

Answer:

x=5 y=-5

Step-by-step explanation:

he complete table is,

 x      y

- 4     0

- 3     1

- 2     4

- 1     9

 0     16

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Continue graphing f(x) = (x + 4)² by following these steps:

Step 1: Calculate the value of the function at the x-coordinate one unit to the left of the vertex.

⇒ f (-5) = 1

Now, By using the property of symmetry to find the value of the function at the x-coordinate one unit to the right of the vertex as;

⇒ f(x) = (x + 4)²

At x = - 3

⇒ f (- 3) = (- 3 + 4)²

⇒ f (- 3) = 1

At x = - 2;

⇒ f (- 2) = (- 2 + 4)²

⇒ f (- 2) = 4

At x = - 1;

⇒ f (- 1) = (- 1 + 4)²

⇒ f (- 1) = 0

At x = 0;

⇒ f (0) = (0 + 4)²

⇒ f (0) = 16

Thus, The complete table is,

 x      y

- 4     0

- 3     1

- 2     4

- 1     9

 0     16

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Answer:

\(\boxed {\boxed {\sf b=60 \ meters}}\)

Step-by-step explanation:

This is a right triangle because of the small square in the corner representing a 90 degree angle.

Therefore, we can use the Pythagorean Theorem.

\(a^2+b^2=c^2\)

Where a and b are the legs and c is the hypotenuse.

80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.

\(a=80 \\b=b \\c=100\)

\((80)^2+b^2=(100)^2\)

Solve the exponents.

\(6400+b^2=10000\)

Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.

\(6400-6400+b^2=10000-6400\\b^2=3600\)

Take the square root of both sides.

\(\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m\)

The missing leg is 60 meters.

The linear regression model can be expressed as hθ(x) = θ^T * x

The linear regression model can be written as follows:

hθ(x) = θ0 + θ1x1 + θ2x2 + ... + θnxn

Where:

hθ(x) represents the predicted output (estimated value) for a given input x.

θ0, θ1, θ2, ..., θn are the model parameters or coefficients.

x1, x2, ..., xn are the input features.

In vectorized form, the linear regression model can be expressed as:

hθ(x) = θ^T * x

Where:

hθ(x) represents the predicted output.

θ is the parameter vector (θ0, θ1, θ2, ..., θn) represented as a column vector.

x is the feature vector (x0=1, x1, x2, ..., xn) represented as a column vector, where x0 is a constant feature with the value of 1. This is done to incorporate the intercept term θ0.

Note: In the equation above, the superscript T denotes the transpose operation.

The objective of linear regression is to find the optimal values for the parameter vector θ that minimize the difference between the predicted output and the actual output in the training examples. This is typically achieved by using optimization algorithms such as gradient descent or normal equations.

By adjusting the values of θ, the linear regression model can be fitted to the given training examples in order to make predictions on new inputs.

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Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

Capital asset pricing model (CAPM) Applications of Capital Asset Pricing Model (CAPM) are as follows;The most important application of CAPM is in the calculation of the cost of equity.

CAPM is used by financial analysts and investors to determine the appropriate rate of return for individual stocks and portfolios. CAPM is also useful in determining the required rate of return for capital projects. By calculating the cost of equity capital, companies can make better investment decisions by determining which projects will yield the greatest return on investment.

CAPM can be used in the valuation of assets, such as stocks, real estate, and other investments. Finally, CAPM is useful in evaluating risk.

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Answer:

Did you find them ?

Step-by-step explanation:

Answer:

Q (—2, 3)

Step-by-step explanation:

Option 1

.......

The first three laws of probability are: Law of Non-Negativity: The probability of any event is a non-negative number. It is always greater than or equal to zero.

Law of Additivity: For mutually exclusive events, the probability of the union of those events is equal to the sum of their individual probabilities. If events A and B are mutually exclusive, then the probability of A or B occurring is equal to the sum of the probability of A and the probability of B.

Law of Complementarity: The probability of the complement of an event is equal to one minus the probability of the event. If event A is the occurrence of an event, then the probability of not A (or the complement of A) is equal to 1 minus the probability of A.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The probability that someone wakes up before 6 am given that they are a jogger is 1/5.

To find the probability that someone wakes up before 6 am given that they are a jogger, we need to use Bayes' theorem which states:

P(A|B) = P(B|A) * P(A) / P(B)

where A and B are two events.

Let A be the event that someone wakes up before 6 am and B be the event that someone is a jogger. Then, we are given:

P(A) = 1/3

P(B) = 2/3

P(B|A) = 3/5

We want to find P(A|B).

Using Bayes' theorem, we get:

P(A|B) = P(B|A) * P(A) / P(B)

P(A|B) = (3/5) * (1/3) / (2/3)

P(A|B) = 1/5

This means that out of all the joggers, only 1/5 of them wake up before 6 am.

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Answer:

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

Let the number of student tickets be s and adult tickets be a.

The total of student tickets is 6s and adult tickets is 9a.

Number of tickets is 98:

Total revenue is $747:

Answer:

70

Step-by-step explanation:

all angles in a triangle add up to 180

if two sides are equal their angles are equal

180-40

140÷2

70

Answer:

\(y=0.400x+-0.800\)

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

\(y=mx+b\)

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

\((-3,-2)=(x1,y1)\)
\((2,0)=(x2,y2)\)

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{0--2}{2--3} =\frac{2}{5}\)
\(m=\frac{2}{5} =0.400\)

\(y=mx+b\)
\(y=-2\)
\(m=0.400\)
\(x=-3\)
\(-2=0.400(-3)+b\)
\(0.400\times-3=-1.20\)
\(-2+1.2=-0.800\)
\(b=-0.800\)

\(y=0.400x+-0.800\)

Hope this helps.

The largest circle has radius OP = 8 cm, the next largest circle has radius AO = 4 cm, and the smallest circle has diameter AB = 4 cm so its radius has length 2 cm.

These circles have respective areas of 64π cm², 16π cm², and 4π cm².

The area of the shaded region is then

64π cm² - 16π cm² + 4π cm² = 52π cm²

Answer:

∠ 3 = 95° , ∠ 4 = 85°

Step-by-step explanation:

∠ 3 and 95 are corresponding angles and are congruent , then

∠ 3 = 95°

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , that is

∠ 4 + 95° = 180° ( subtract 95° from both sides )

∠ 4 = 85°

w = 5

Step-by-step explanation:

2+(7w)+(8w)=5

(7÷5)+(8÷5)+2

(1.4) (1.6) +2

+1.5

=3+2=5