suppose f(x)=4x-2 and g(x)=-2x+1
find the value of f(3)/g(-4)

Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Do you have a picture of your question?

To solve this problem, I'll use proportions.

Result z = 45.56

It's correct

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The statement "Gasoline is an ideal fuel for transportation because it has a high energy density and is highly portable" is completed correctly by the information in option (a): "high; flammable."

Gasoline is known for its high energy density, meaning it contains a significant amount of energy per unit volume. This characteristic allows vehicles to carry a sufficient amount of fuel for long-distance travel without requiring excessive storage space. Additionally, gasoline is highly portable due to its liquid form, which makes it easy to transport and dispense into vehicles.

Regarding the biggest concern associated with the use of petroleum, the correct option is (c): "carbon dioxide emissions." When petroleum products like gasoline are burned, they release carbon dioxide (CO2) into the atmosphere. CO2 is a greenhouse gas that contributes to global warming and climate change. The combustion of petroleum fuels, especially in the transportation sector, is a major source of CO2 emissions.

While other concerns such as air pollutants (particulates in the air) and environmental impacts (ground level emissions, oil spills) are also associated with petroleum use, the significant contribution of CO2 emissions to climate change makes it the most pressing concern. Addressing carbon dioxide emissions from the burning of petroleum fuels is essential to mitigate the impact of transportation on climate change and promote the use of more sustainable and cleaner energy sources.

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Answer:

a) (-1,4.5)

b)10.63 units

c)7/8

Step-by-step explanation:

a) To find this, we use the midpoint formula

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (3,8)

(x2,y2) = (-5,1)

(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)

b) To calculate the distance D between two points, we use the formula;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-3)^2 + (1-8)^2

D = √(-8)^2 + (-7)^2

D = √64 + 49

D = √113

D = 10.63 units

C) We use the slope formula here

m = (y2-y1)/(x2-x1)

m = (1-8)/(-5-3) = -7/-8 = 7/8

Answer:

A and i'm pretty sure

Step-by-step explanation:

:D

Answer:

I think it's B.

Step-by-step explanation:

-5x + 1 ≥ -29

-5x + 1 - 1 ≥ -29 - 1

-5x ≥ -30

-5x / -5 ≥ -30 / -5

x ≥ 6

You flip the inequality sign because you divided both sides by a negative number.

x ≤ 6

Answer:

C. time series

C. time series Step-by-step explanation:

A time series is a sequence of observations on a variable measured at successive points in time or over successive periods of time

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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Answer:

it's 7, right?

Step-by-step explanation:

if you do it backwards it's 33÷3 which is 11 (only whole number that goes into 33)

then 11-4 is 7

Answer:

7

Step-by-step explanation:

1. Translate the statement into an equation:

2. Simplify both sides of the equation.

3. Subtract 12 from both sides.

4. Divide both sides by 3.

Answer:

C.  6√5

Step-by-step explanation:

√20 +√80= √4*5 + √16*5 = 2√5 + 4√5 = 6√5

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:

Let h be the height of the triangle.

Set your calculator to degree mode.

\( \tan(71) = \frac{26}{h} \)

\(h \tan(71) = 26\)

\(h = \frac{26}{ \tan(71) } = 8.9525\)

So the area of this triangle is

(1/2)(26)(8.9525) = 116.3827 square feet

The length of the hypotenuse is

\( \ \sqrt{ {( \frac{26}{ \tan(71) } )}^{2} + {26}^{2} } \)

\( \sqrt{ {8.9525}^{2} + {26}^{2} } = 27.4981\)

So the perimeter of this triangle is

8.9525 + 26 + 27.4981 = 62.4506 feet

The total number of mice in a cage is 90.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of all mice to black mice is 5:1.

There are 15 black mice in a cage.

Let the total number of mice in a cage be x.

Now, 1/6 ×x=15

x=90

Therefore, the total number of mice in a cage is 90.

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"Your question is incomplete, probably the complete question/missing part is:"

There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in the cage?

Answer:

Hope it will help you a lot.

Answer:

$0.45

Step-by-step explanation:

$5.40/12 = $0.45

If A 12-pack of Cokes costs $5.40 then each Coke costs $0.45.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Cost of 12- pack of Cokes = $5.40.

To find the cost of one Coke cost,

Use ratio property,

12 packs of cakes = $5.40
1 pack of cakes = 5.40/12

1 pack of cake = 0.45

The price of one pack of cake is $0.45

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The correct answer to the given question is "b. Individual Matching."Individual matching is a type of matching that selects the controls based on specific characteristics, one at a time, which matches with the cases of the population.

Explanation: In the case-control study, we compare the histories of two groups, cases and controls, in search of factors that may contribute to the disease's development.  This type of matching is useful in a case-control study where a small sample is chosen, and the investigators are interested in the individual risk factors. The odds ratio examining the association between the exposure (marijuana use) and the disease (lung cancer) in the study is b. 1.56.

Here is the calculation: Odds ratio = (33/167) / (33/367) = 0.1975 / 0.0899 = 2.20 (corrected)Or, Odds ratio = ad/bc = (33 * 367) / (33 * 167) = 6,711 / 5,511 = 1.2171Logarithm of odds ratio = ln (OR) = ln (1.2171) = 0.1956Standard error = sqrt (1/a + 1/b + 1/c + 1/d) = sqrt (1/33 + 1/134 + 1/33 + 1/267) = 0.3421Lower limit of the 95% confidence interval (CI) = ln (OR) - 1.96 x SE = -0.8726Upper limit of the 95% CI = ln (OR) + 1.96 x SE = 1.2638Therefore, the odds ratio examining the association between the exposure (marijuana use) and the disease (lung cancer) in the study is 1.56, as the confidence interval does not include the value 1.0.

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Answer:

number 4/the last option

Step-by-step explanation:

this is because each individual Tshirt = X. and we already know that we have 33$ to spend

Volume of a solid whose  base is a circle of radius 5 and cross sections perpendicular to the x-axis are squares is 785.4 cubic units.

Therefore, the answer is 785.4 cubic units.

The base of the solid is a circle, so considering basic solids it can be either a cylinder or a cone. It is given that the cross section perpendicular to the x-axis is square.

Two facts can be inferred from the above statement, one the solid is a cylinder and second the height of the cylinder equal to the diameter of the base circle, that is h = 2r.

Now, volume of a cylinder is given by

V = πr²h

V = πr² × (2r)

V = 2πr³

V = 2 × π × 5³

V = 785.4

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The value of expression is equivalent to given expression is,

⇒ 126y²

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

Given that;

The expression is,

⇒ 3 √2y³ × 7 √18y

Now, We can simplify as;

⇒ 3 √2y³ × 7 √18y

⇒ 21 √36y⁴

⇒ 21 × 6y²

⇒ 126y²

Thus, The value of expression is equivalent to given expression is,

⇒ 126y²

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Answer: b

Step-by-step explanation:

Answer:

The interest is 634.13.

Step-by-step explanation:

Amount deposit , P = 5000

Interest, R = 4 % so, R = 4/4 = 1 %

Time, T = 3 years quarterly

n = 3 x 4 = 12

Let the amount is A.

Use the formula of the compound interest

\(A = P \left ( 1 + \frac{R}{100} \right )^n\\\\A = 5000 \left ( 1 + \frac{1}{100} \right )^{12}\\\\A = 5634.13\)

So, the interest is

I = A - P = 5634.13 - 5000 = 634.13

The correct answer from the drop-down menu is 3.5.

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

= 3.5.

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Answer:

  the women won 1 fewer matches than the men

Step-by-step explanation:

In a pie chart, the fraction of the total that is represented by any sector is the ratio of the angle subtended by that sector to 360°.

__

For the men's team, the winning games represent 150°/360° = 5/12 of all games played. The men played 24 games, so they won ...

  5/12 × 24 = 10 . . . . games won

__

For the women's team, the winning games represent 180°/360° = 1/2 of all games played. The women played 18 games, so they won ...

  1/2 × 18 = 9 . . . . games won

The number of matches won by the men is larger than the number of matches won by the women. (Yes, the women won a larger fraction of their matches played, but not a larger number.)

Factor: In analysis of variance, a factor is an independent variable that is used to categorize or group the data. It is a variable that is believed to have an effect on the dependent variable.

Level: A level of a factor is a specific value or category of the independent variable that is being studied. For example, if the factor is "age," the levels might be "20-30 years," "31-40 years," etc.

Two-factor study: A two-factor study is a research study that has two independent variables, or factors, that are being studied simultaneously. This allows the researcher to examine the effects of each variable on the dependent variable, as well as any interactions between the two independent variables. For example, a two-factor study might examine the effects of both age and gender on a particular outcome variable.

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The probability that both marbles are red is 2/14 or 1/7.

This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7

In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.

In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.

The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).

In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.

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Answer:

2

Step-by-step explanation:

The information about the man's path has been added in fragments below.

The missing figure is added as an attachment, where the equation of the function that passes through the three points is calculated as

f(x) = -x^2/3 - x + 10/3

Using the above as a guide, we have the following:

Track direction "cutting hole":

The track direction of the man's path is downward as the coefficient of x^2 is negative (-1/3).

Route starting point:

From the graph, we have the starting point to be (-5, 0)

Path end point:

From the graph, we have the path end point to be (2, 0)

The highest point

Recall that

f(x) = -x^2/3 - x + 10/3

Differentiate and set to 0

-2x/3 - 1 = 0

So, we have

-2x/3 = 1

This gives

x = -3/2

So, we have

Highest = -(-3/2)^2/3 + 3/2 + 10/3

Highest = 49/12

So, the highest point is 49/12 units high

Maximum value:

This is the same as the highest point i.e. Max = 49/12

Axis of Symmetry

We have

x = -3/2

This means that axis of symmetry is x = -3/2

The field:

The area under the curve represents the area of the region covered by the man's path on the mountain.

Term:

These are the terms of the function

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Answer:

-10

Step-by-step explanation:

-5(2) - 4(-1) - 8 +2(2)

Answer:

-10

Step-by-step explanation:

-5(2)-4(-1)-8+2(2)=

-10+4-8+4=-10

-×- is +

-×+ is -

Answer:

\( \frac{13x}{7 } + \frac{6}{7} = 0\)