Question 16 PLEASE HELP for f(x) =-2x+4,find f(x) when x=-3

The sample variance computed differently from the population variance is the calculation in the numerator is different and the calculation in the denominator is different

The sample variance is computed differently from the population variance in that the calculation in the numerator is different and the calculation in the denominator is different. Specifically, in the numerator, the sample variance formula includes a computation for SS (sum of squared deviations from the mean), while the population variance formula does not.

Additionally, in the denominator, the sample variance formula divides by n-1 (sample size minus one) instead of by the denominator (population size) in the population variance formula.

The sample variance is computed differently from the population variance in the following ways:

1. The calculation in the numerator is the same for both sample and population variance, as they both involve computing the sum of squared differences (SS) between each data point and the mean.

2. The calculation in the denominator is different. For the population variance, the denominator is the number of data points in the population (N), while for the sample variance, the denominator is the number of data points in the sample (n) minus 1.

So, the correct answer is: the calculation in the denominator is different (Option C).

Here are the formulas for each variance:

Population variance: σ² = Σ(x - μ)² / N
Sample variance: s² = Σ(x - X)² / (n-1)

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

\(y=\frac{1}{2}\)

Step-by-step explanation:

\(4(y+1)= \frac{3}{1-y}\)

\(4y+4= \frac{3}{1-y}\)

\((4y+4)(1-y)= 3\)

\(4y(1-y)+4(1-y)=3\)

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

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

\(4y^{2}=1\)

\(y^{2} = \frac{1}{4}\)

\(y=\sqrt{\frac{1}{4} }\)

\(y=\frac{1}{2}\)

The area of the triangle xyz is 33.941...

To calculate area of triangle, we need to take the base and height's measurement.

Formula- 1/2 x Base x Height

However, Area may also be calculated when we know the 3 sides of the triangle.

It is known as "Heron's Formula"

Simply use this 2 step process :

Step 1-

Calculate "S" (which is half of the triangle's perimeter)

S = (side1 + side2 + side3) / 2

Naming the sides as a b and c respectively.

4 inches = a

5 inches = b

7 inches = c

 S = ( a + b + c ) / 2

S = ( 4 + 5 + 7 ) / 2

S = 16/2

S = 8

Step 2: Calculating the area of the triangle XYZ

Formula:

Area ( A ) = √S(S−a)(S−b)(S−c)

put the values and you will get the answer.

A = √8(8−4)(8−5)(8−7)

A = 33.941..

The area of the triangle xyz is 33.941...

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Answer:

14 square inches

Step-by-step explanation:

Area of triangle = (h.b)/2

The height and base aren't specified, and no pic is provided

So I'll assume that the height is 4 and base is 7 ( or the opposite)

Area = (4.7)/2

= 14 square inches

If the height is 5 and base 7 ( or the opposite)

Area = (5.7)/2

= 17.5 square inches

If the height is 4 and base is 5 ( or the opposite)

Area= (4.5)/2

= 10 square inches

Answer:

The best rational approximation for the square root of 55 is 7.5.

Let me know if this helps!

Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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The answer is option D which is the range will be ( -∞, ∞ ).

After substituting the domain, the range of a function is the entire set of all possible values for the dependent variable (often y).

Given function is

u(x) = -2x²+3 and v(x) = ( 1 / x ).

The product of the function will give uv(x).

uv(x) = (-2x²+3 ) x  \(\dfrac{1}{x}\)

uv(x) = \(\dfrac{-2x^2+3}{x}\)

When we plot the graph of the function we found two opposite curved graphs and they are not intersecting at any point so the range will be from negative infinity to positive infinity. The graph of the function is attached with the answer below.

Therefore the answer is option D which is the range will be ( -∞, ∞ ).

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If only 20% of an article remains and it weighs 20 kg, we can determine the original weight of the article by calculating the total weight before the damage. The original weight would be 100 kg.

Let's assume the original weight of the article is 'x' kg. According to the information given, only 20% of the article remains, which means 80% of it is damaged and thrown away. We can set up the following equation to find the original weight:

80% of x = 20 kg

To solve for 'x', we can divide both sides of the equation by 80% (or 0.8):

x = 20 kg / 0.8 = 25 kg / 0.01 = 2500 kg / 100 = 100 kg

Therefore, the original weight of the article was 100 kg. It is important to note that the term "percent" means "per hundred," so 20% represents 20 out of 100 parts. By using proportions, we can find the original weight based on the remaining 20% and the given weight of 20 kg.

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Answer:

B

Step-by-step explanation:

(hx)(gx)

(2x+5)(3x+2)

6\(x^{2}\)+4x+15x+10

6\(x^{2}\)+19x+10

Answer B

Using differentiation on  y = √(2x + 1), dy/dt = -8

Differentiation is the process of finding the derivative of a function.

Since  y = √(2x + 1)  where x and y are functions of t. (a) if dx/dt = 12, we need to find dy/dt when x = 4.

So, we differentiate y with respect to t

So,  y = √(2x + 1)

Let u = 2x + 1

So, y = √u

dy/dt = d√u/dt

= d√u/du × du/dx × dx/dt

= -1/√u × 2 × dx/dt (since du/dx = d(2x + 1)/dx = 2)

= -2/√u × dx/dt

= -2/√(2x + 1) × dx/dt

Given that

Substituting the values of the variables into the equation, we have that

dy/dt = -2/√(2x + 1) × dx/dt

= -2/√(2(4) + 1) × 12

=  -24/√(8 + 1)

= -24/√9

= -24/3

= -8

So, dy/dt = -8

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The question is incomplete. Here is the complete question

Suppose y = √(2x + 1) , where x and y are functions of t. (a) if dx/dt = 12, find dy/dt when x = 4.

The ordered pair for the equation is (384/29, 64/29).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

5x-y=64..............(1)

6y=x........................(2)

Now, substitute the value of x from equation 2 into equation (1)

5(6y) - y= 64

30y - y= 64

29y= 64

y= 64/29

and, x= 6y

x = 6 (64/29)

x = 384/ 29

Hence, the ordered pair (384/29, 64/29).

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Answer: 1/5

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

Given problem,

→ 8.1 - 4.2 + (2/10)

Let's simplify the problem,

→ 8.1 - 4.2 + (2/10)

→ 8.1 - 4.2 + 0.2

→ 8.1 - 4 = 4.1

Hence, the answer is 4.1.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Bristol's next minimum monthly payment is $171.97

How was the minimum monthly payment of $146.52 computed?

The minimum monthly payment of $146.52 was computed from the current statement balance as 3.5% of $4,186.19

minimum monthly payment=$4,186.19*3.5%

minimum monthly payment=$146.52

The balance at the beginning next month is current statement balance minus the minimum monthly payment plus purchases of $750.00 and the interest for the month

beginning balance next month before interest=($4,186.19-$146.52)+ $750.00

beginning balance next month before interest=$4,789.67

beginning balance next month after interest=$4,789.67*(1+30.99%/12)

beginning balance next month after interest=$4,913.36

Bristol's next minimum monthly payment=3.5%*$4,913.36

Bristol's next minimum monthly payment=$ 171.97

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Answer:

3

Step-by-step explanation:

48/16=3

Answer:3 people in each car

Step-by-step explanation:

43/16=3

Answer:

a 4 by 4 square

a 5 by 5 square

Step-by-step explanation:

The three shapes are

1) a square 1 unit by 1 unit

2) a square 2 units by 2 units

3) a square 3 units by 3 units

The next two shapes are

4) a square 4 units by 4 units

5) a square 5 units by 5 units

Answer:

see below

Step-by-step explanation:

1.

A = quantitative

B = qualitative

C = qualitative

D = quantitative

2.

A = statistical

B = non-statistical

C = non-statistical

D = statistical

3.

A =  high variability

B = low variability

C = high variability

D = low variability

Answer: you're a weird kid, thanks for the points.

Step-by-step explanation:

Answer:

x= 3

Step-by-step explanation:

Since triangle is equilateral...

2y = 25x - 15

And....

Here,

2y + 2y + 2y = 180

6y = 180

y = 180/6

= 30

Again,

2y = 25x -15

2*30 + 15 = 25 x

x = 75/25

= 3

So a 4-input and gate has 16 possible combinations of binary output, 5 inputs would be 32 outputs, and so on.

Combinations are also called selections. Composition is the selection of one thing from a given set of things. We're not going to fix things here. We will choose them. We note nCr the number of r-choices or unique combinations among a set of n subjects.

Design Procedure:

Step 1:. Derive a truth table that defines the desired relationship between inputs and outputs.

Step 2: Obtain the simplified Boolean function of each output according to the input variables. The simplified expression for the

map is:

A= w

The simplified expression for the map is:

B=w' y+ xz+ wx

Step3. Draw the logic diagram and the binary output are:

A= w

B=w ′y+ xz + wx

C=w ′x ′y ′ +w ′y ′z ′ +xyz + wy

D=x ′z+ w ′xz ′ + wz

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The sum of the interior angles for a Polygon of 5 angles is 540°

An angle is the opening formed by two half-straights (sides) with the same origin called vertex. For example, within a triangle there are three angles, which in total add up to 180°.

The sum of the interior angles of a Polygon is calculating by the formulation:

Sum of Interior Angles = (n-2) x 180°

Replacing the number of angles (n = 5) in the equation we get:

Sum of Interior Angles = (n-2) x 180°

Sum of Interior Angles = (5-2) x 180°

Sum of Interior Angles = 3 x 180°

Sum of Interior Angles = 540°

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Answer:

A. The explanation of the rules are;

For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week

For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week

B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours

C. Blake should take the Job at Evergreen Landscape

Step-by-step explanation:

The amount Evergreen Landscape will pay Blake to mow lawn = $9.75

The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25

The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50

The amount Blake would spend to work per week on gas for work at Just Jean = $5

Whereby, x = The number of hours that Blake will work in a week

y = The amount of money he will have end of the week, if he does not spend any money except gas

A. The given rules are;

y = 9.75·x - 25

y = 6.50·x - 5

For the job offer for the Evergreen Landscape, we have;

y = 9.75·x - 25

Blake has to put aside $25 out of his weekly earnings for gas

Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas

For the job offer for the Just Jean, we have;

y = 6.50·x - 5

Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas

B. The common solution of the both equations is given by equating both values of y as follows;

9.75·x - 25 = 6.50·x - 5

9.75·x - 6.50·x = 25 - 5

3.25·x = 20

x = 20/3.25 = 6.15385

x = 6.15385

The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours

C. Given that the number of hours Blake can work each week = 15 hours, we have;

For the job offer for the Evergreen Landscape, we have;

y = 9.75 × 15 - 25 = 121.25

The amount of money he will have end of the week = y = $121.5

y = 6.50 × 15 - 5 = 92.5

The amount of money he will have end of the week = y = $92.5

Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.

Answer:

subtract 3 1/5 from both sides of the equation

Step-by-step explanation:

Answer:

A) Subtract 3 1/5 from both sides of the equation

Step-by-step explanation:

Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.

a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\

b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.

c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.

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The perimeter of a cube is equal to the total of its individual sides, also known as the cube's edges. So the perimeter of cube is 12a.

In the given question we have to find the perimeter of a.

As we can see that the measurement is in the form of power of cube.

The power cube shows that the we have to find the perimeter of cube because the all sides of cube is equal.

The XYZ plane defines the three-dimensional form of a cube. It contains eight vertices, twelve edges, and six faces. The cube has a square shape and identical proportions on each of its faces.

Similar to how the perimeter of a square is equal to the sum of its side lengths, the perimeter of a cube is equal to the total of its individual sides, also known as the cube's edges.

So the perimeter of cube is 12a.

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Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

The zeroes of the polynomial functions are listed below:

Polynomials are algebraic constructions whose form is summarized by the following sum:

p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}

An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.

Then, we proceed to find the zeros of each polynomial function:

1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.

2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1

3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.

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