For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1

Answer:

|6n+7|=8=  n=1/6,-5/2

|3x–1|=4  x=5/3,-1

Step-by-step explanation:

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Regression analysis is a statistical method for making predictions by using data on the correlation between independent or predictor variables and dependent variables.

Regression analysis, a collection of statistical methods used in statistical modeling, is used to compare a dependent variable (also known as the "outcome" or "response" variable, or a "label" in machine learning jargon) and one or more independent variables (also known as "predictors," "covariates," "explanatory variables," or "features").

In linear regression, the most popular kind of regression analysis, the line (or more complex linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

Regression analysis is employed to deduce the causal relationships between the variables in a given situation. It should be noted that regressions by themselves only reveal relationships between a dependent variable and a set of independent variables in a particular dataset.

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The p-value from the hypothesis test is 0.142 i.e., greater than the given significance level of 0.05. So, the null hypothesis is not rejected. The z-score for the given sample is 1.471.

The decision rule based on p-value states,

Since it is given that the valve would produce a mean pressure of 5.4 pounds/square inch. I.e., μ = 5.4 p/si

So, Defining the hypothesis:

Null hypothesis H0: μ = 5.4

Alternative hypothesis Ha: μ ≠ 5.4

It is given that,

The valve was tested on 24 engines. I.e., Sample size n = 24

The sample mean X = 5.7

Standard deviation σ = 1.0 and

The significance level = 0.05

Since the population distribution is approximately normal,

the test statistic is calculated as follows:

z = (X - μ)/(σ/\(\sqrt{n}\))

On substituting the value,

z = (5.7 - 5.4)/(1.0/\(\sqrt{24}\))

  = (0.3)/0.204

  = 1.471

Fron this z-score, the p-value is calculated as 0.142.

Since, the value of p > 0.05 (significance level), the null hypothesis is not rejected.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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To be honest I am not sure

Good Luck Sorry if it is wrong.

Hey there!

\(Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}\)

\(Explanation:\)

\(y=-2x+34\)

flip the equation.

\(-2x+34=y\)  flip the equation.

Now add -34 to both sides of the equation.

\(-2x+34+-34=y+-34\\-2x=y-34\) add -34 to both sides of the equation.

In our third/last step, we will divide both sides of the equation by -2.

\(\frac{-2x}{-2}=\frac{y-34}{-2}\) divide both sides of the equation by -2.

\(x=\frac{-1}{2}y+17\) The answer to your equation.

There is nothing to solve for y because the equation was equal to y.

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

Step-by-step explanation:

Find the area of the shaded region in terms of r.

1. The area of the circle with radius r is

2. The area of the square with diagonal 2r is

3. The area of the shaded region is the difference

Since the area of the shaded region must be greater or equal to  then

This inequality is solved only in positive numbers, because r cannot be negative.

Answer:

a) distance = 0.5m

b) acceleration = -1.25m/s²

Step-by-step explanation:

v = d/t

d = vt

d = 10/20

= 0.5

a = v/t

= -10/8

= -1.25

a is negative because in the last 8s the care decelerate

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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Answer:

\(Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ \)

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

\(given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16\)

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Answer:

Step-by-step explanation:

Proportional relationships: two variables that have the same ratios that are equivalent. Key characteristics: the variables are at a constant value. examples: 0,0 2,6 4,12 6,18. Non-proportional relationships: 0,4 2,10 4,16 6,22

Constant of proportionality: relates two given values like proportional relationships. Two proportional values is a constant values. The number of apples in a crop, is proportional to the number of trees in the orchard. something that doesnt change.

Answer:

Step-by-step explanation:

13% > 1.3%

5.1% < 15%

Answer:

13% > 1.3%

5.1% < 15%

hope that helps :)

Answer:

Perpendicular bisector

Step-by-step explanation:

Given

The above statement

Required

What describes the given statement?

The term that describes the given statement is the perpendicular bisector.

This is so because:

- The perpendicular bisector passes through midpoints

- The point of intersection is at the \(90^o\)

Answer:

a straight line that does not go through the origin.

The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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The size of the angle x is 330°

Angle geometry is a branch of mathematics that deals with the study of angles and their properties. Angles are formed when two lines or line segments intersect or when a line segment meets a point.

Angle geometry involves the measurement of angles, the relationships between angles, and the properties of angles in different shapes and figures.

The sum angle at a point is equal to 360 degrees. Thus, we can say:

x + 30° = 360°

x = 360° - 30°

x = 330°

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The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees

We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.

Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.

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22 would be displayed by command print(magic(5)).

The statement print(magic(5)) would display the result of the magic function when called with an argument of 5.

The print function is a commonly used function in programming languages that allows you to display output to the console or terminal. It is used to output text, variables, or other data to the standard output device.

Substituting num = 5 into the function definition, we get:

x = num - 3 = 5 - 3 = 2

return x + 2 * 10 = 2 + 20 = 22

Therefore, print(magic(5)) would display 22.

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4,4 1,2

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

it does add up to more then 60

Answer:

I think the answer is (-3, -3)

Process:

\(\frac{3}{4}\) [6 - (-6)] = -3

\(\frac{3}{4}\) [(-6) - (-2)] = -3

Answer:

i think A is answer you should to do

Answer:

\(6/17\)

Step-by-step explanation:

I assume you want the question in the picture solved as your written question is different but appears to be copied and pasted from the text.

1. When adding fractions the denominator (number on the bottom) must be the same between the two fractions, i.e. having a common denominator. In this case they are already the same, that is, 17 and 17. Just add the top numbers (numerators) together, and leave the denominator the same. So,

\(\frac{3}{17} +\frac{3}{17} =\frac{6}{17}\)

The objective function maximizes the profit by producing a certain number of EagleAir and TurboTax scooters. The constraints ensure that the production process does not exceed the available time for each manufacturing stage.

Let's define the decision variables, objective function, and constraints for this linear programming problem.

Decision variables:
Let x be the number of EagleAir scooters produced.
Let y be the number of TurboTrax scooters produced.

Interpretation:
The objective function maximizes the profit by producing a certain number of EagleAir and TurboTax scooters. The constraints ensure that the production process does not exceed the available time for each manufacturing stage. The non-negativity constraint ensures that the number of scooters produced is always non-negative.

The objective function (maximize profit):
Maximize Profit = 170x + 260y

Constraints:
1. Frame Construction: 15x + 20y ≤ 3800
2. Electronic Assembly: 10x + 8y ≤ 4400
3. Customization & Detailing: 25x + 40y ≤ 6400
4. Non-negativity: x ≥ 0, y ≥ 0

So the linear programming problem can be formulated as:

Maximize: P = 170x + 260y
Subject to:
15x + 20y ≤ 3800
10x + 8y ≤ 4400
25x + 40y ≤ 6400
x ≥ 0
y ≥ 0

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A parabola's vertex form equation is as follows:

y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

To use a calculator to find the equation of a parabola in vertex form, you would typically need to know the coordinates of the vertex and at least one other point on the parabola.

Determine the vertex coordinates (h, k) of the parabola.

Identify at least one other point on the parabola (x, y).

Substitute the values of the vertex and the additional point into the equation y = a(x - h)^2 + k.

Solve the resulting equation for the value of 'a'.

Once you have the value of 'a', substitute it back into the equation to obtain the final equation of the parabola in vertex form.

Note: If you provide specific values for the vertex and an additional point, I can assist you in calculating the equation of the parabola in vertex form.

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