town official claims that the average vehicle in their area sells for more than the 40th percentile of your data set. Using the data, you obtained in week 1, as well as the summary statistics you found for the original data set (excluding the super car outlier), run a hypothesis test to determine if the claim can be supported. Make sure you state all the important values, so your fellow classmates can use them to run a hypothesis test as well. Use the descriptive statistics you found during Week 2 NOT the new SD you found during Week 4. Because again, we are using the original 10 sample data set NOT a new smaller sample size. Use alpha = .05 to test your claim.

Answer:

No, a triangle cannot be created with these measurement.

Step-by-step explanation:

It must follow these rules:

a + b > c

b + c > a

a + c > b

Answer:

1) given

2) reflexive

3) converse isosceles triangle thm

4) isosceles triangle thereom

5)CPCT

Step-by-step explanation:

Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

Answer:

1.6 kilometers

Step-by-step explanation:

Umm... sorry...

I can't think of an explanation.

I memorized the answer (because I do track and field)

Well, feel free to tell me if I did anything wrong! :)

The mean time to repair (MTTR) is 20 hours.

What is  MTTR?

Mean time to repair = Total hours spent on corrective maintenance / Number of maintenance actions completed

Mean time to repair = 1,200/60

Mean time to repair = 20 hours

Therefore, the mean time to repair is 20 hours.

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Answer:

#4

Step-by-step explanation:

1,2 and 3 would describe discontinuities in the graph making it non continuous over the interval -inf    thru   +inf

Answer:

It's 25

Step-by-step explanation:

It's asking for distance between the two numbers

Answer:25

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

It does not pass the vertical line test, so the relation is not a function. This is because there are x-values that have several y-values. To be a function, a relation must have x-values that only have one y-value each.

Hope this helps!

Answer:

No

Step-by-step explanation:

Because for any given point along the x-axis it has 2 values along y-axis.

For a relation to be a function it must have only one value at y-axis along any given point along the x-axis

The term utilized to make inferences about certain population parameters is a) samples.

In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.

Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.

Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.

In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.

Therefore, the correct answer is a) samples.

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The guy wire is attached to the tower at a height of approximately 15.95 meters.

Length of the guy wire (hypotenuse) = 18.5 m

Angle between the ground and the guy wire = 59º

Using the sine function to find the height of the tower.
sin(angle) = height/hypotenuse

Putting in the known values and solving for the height.
sin(59º) = height/18.5 m
height = sin(59º) × 18.5 m

Calculating the height
height ≈ 15.95 m

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Answer:

n=2

a(2)= -13(2-1)+4

a(2) = -13(1)+4

= -13+4

= -9

Salma must score 405 on exam B in order to do equivalently well as she did on exam A.

To determine how well Salma must score on exam B to perform equivalently to exam A, we need to compare the scores relative to their respective means and standard deviations. Since the scores on each exam are normally distributed, we can use z-scores to make the comparison.

First, we calculate the z-score for Salma's score on exam A using the formula: z = (x - mean) / standard deviation.

For exam A:

z = (69 - 64) / 10 = 0.5

Next, we find the corresponding raw score on exam B that corresponds to the same z-score of 0.5. Using the formula: x = z * standard deviation + mean.

For exam B:

x = 0.5 * 100 + 400 = 405

Therefore, Salma must score 405 on exam B in order to perform equivalently to her score of 69 on exam A. This means that if she achieves a score of 405 on exam B, it would be at the same relative position in the distribution as her score of 69 on exam A, taking into account the different means and standard deviations of the two exams.

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Answer:

The total cost is $59.85

(rounded up from 59.846 since this problem is about money)

Hi there!

cost=59.846

1.Add both cost:

\(19.64+32.40= 52.04\)

2.Multiply 15% by 0.01:

\(15\)·\(0.01=0.15\)

3.Multiply cost by 0.15:

\(52.04\)·\(0.15= 7.806\)

4.Combine the two terms:

\(52.04+7.806= 59.846\)

Therefore, the total cost was 59.846$.

Answer:

86

Step-by-step explanation:

Answer:

Option 2 and option 4 are linear equations.

Step-by-step explanation:

We know the linear equation of the form

\(y=mx+b\)

where m is the slope and b is the y-intercept.

We also need to check that the equation must not have any exponent.

In other words, the degree of a linear equation must be 1.

Let us check whether the given equations are linear or not.

Option 1)

Given the equation

The given equation is a non-linear equation because the exponent of the variable y is -1. i.e. y⁻¹.

Option 2)

Given the equation

simplifying to write in the form y=mx+b

8y-2y = 7x-4

6y = 7x-4

y = 7/6x - 2/3

Thus, 7x-8y=4-2y is a linear equation

Option 3)

Given the equation

Please note that the term involving xy has degree two. Thus, it is not a linear equation.

Option 4)

Given the equation

simplifying to write in the form y=mx+b

y = -1/5x+3

m = -1/5, b=3

Thus, y+1/5x=3 is a linear equation.

Thus, option 2 and option 4 are linear equations.

Answer:

2x-5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it just is

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

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The four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Step-by-step explanation:

Answer:

5x+2x(x-4)=5x+x-10

5x+2x-8=5x+x-10

5x-5x+2x+x=-10+8

x+3x=-2

4x=-2

x=-2

Answer:

the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?

The volume of the solid obtained by rotating the region bounded by the curves \(y = 5x^3\) and y = 5x, where x ≥ 0, about the x-axis is incorrect.

To find the volume, we can use the method of cylindrical shells. We integrate the circumference of each shell multiplied by its height to obtain the volume.

The intersection points of the curves can be found by setting y = 5x³ equal to y = 5x. Simplifying the equation gives x³ = x, which yields two intersection points: x = 0 and x = 1.

Next, we express the height of each shell as the difference between the y-coordinates of the curves at a given x-value: h = (5x) - (5x³).

The circumference of each shell can be calculated as 2πx.

The integral for the volume then becomes V = ∫(2πx)(5x - 5x³) dx, integrated from x = 0 to x = 1.

Evaluating this integral yields the correct volume value. However, since the prompt states that the provided answer is incorrect, there might be an error in the calculation or interpretation of the problem. Double-checking the calculations or reviewing the specific instructions for the problem may be necessary to identify and correct the mistake.

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Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

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The change in total revenue brought about by a 16 unit increase in Q is -1.5.

(a) (i) To differentiate y = 4x⁴ − 2x² + 28 with respect to x, we apply the power rule of differentiation. We have:
dy/dx = 16x³ - 4x

(ii) To differentiate f(x) = 1/x² + √x³ with respect to x, we can apply the chain rule of differentiation. We have:
f(x) = x⁻² + x³/²
df/dx = -2x⁻³ + 3/2x^(3/2)

(iii)(a) The slope of the function y = 3x² − 4x + 5 at x = 4 and x = 6 can be found by differentiating the function with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
At x = 4,
dy/dx = 6(4) − 4 = 20
At x = 6,
dy/dx = 6(6) − 4 = 32

(b) The second-order derivative of the function y = 3x² − 4x + 5 at x = 4 can be found by differentiating the function twice with respect to x. We have:
y = 3x² − 4x + 5
dy/dx = 6x − 4
d²y/dx² = 6
The second-order derivative at x = 4 is 6. The slope of the function at x = 4 is positive, so we would expect the second-order derivative to be positive.

(b) (i) The demand equation is given by: P = aQ⁻² + b
The marginal revenue function is the derivative of the total revenue function with respect to Q. The total revenue function is:
R = PQ
Differentiating both sides with respect to Q gives:
dR/dQ = P + Q(dP/dQ)
Since P = aQ⁻² + b,
dP/dQ = -2aQ⁻³
Substituting into the equation for dR/dQ, we have:
dR/dQ = aQ⁻² + b + Q(-2aQ⁻³)
dR/dQ = aQ⁻² + b - 2aQ⁻²
dR/dQ = (b - aQ⁻²)
Therefore, the marginal revenue function is:
MR = b - aQ⁻²

(ii) To calculate the marginal revenue when Q = 3b, we substitute Q = 3b into the marginal revenue function:
MR = b - a(3b)⁻²
MR = b - ab²/9
To find the change in total revenue brought about by a 16 unit increase in Q, we can use the formula:
ΔR = MR × ΔQ
where ΔQ = 16
ΔR = (b - ab²/9) × 16
To show that ΔR = -1.5, we need to use the given relationship a > 0 and b > 0. Since a > 0, we know that ab²/9 < b. Therefore, we can write:
ΔR = (b - ab²/9) × 16 > (b - b) × 16 = 0
Since the marginal revenue is negative (when b > 0), we know that the change in total revenue must be negative as well. Therefore, we can write:
ΔR = -|ΔR| = -16(b - ab²/9)
Since ΔQ = 16b, we have:
ΔR = -16(b - a(ΔQ/3)²)
ΔR = -16(b - a(16b/3)²)
ΔR = -16(b - 256ab²/9)
ΔR = -16/9(3b - 128ab²/3)
ΔR = -16/9(3b - 16(8a/3)b²)
ΔR = -16/9(3b - 16(8a/3)b²) = -16/9(3b - 16b²/9) = -16/9(27b²/9 - 16b/9) = -16/9(3b/9 - 16/9)
ΔR = -16/9(-13/9) = -1.5

Therefore, the change in total revenue brought about by a 16 unit increase in Q is -1.5.

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Answer:

∠S = 151°

Step-by-step explanation:

Hello there!

This is an irregular pentagon

If you didn't know the sum of the interior angles add up to equal 540

We must solve for x to be able to find the measure of angle S

we can use this equation to solve for x

540 = 5x + 2 + 10x - 3 + 7x - 11 + 13x - 31  + 8x - 19

step 1 combine like terms

2 - 3 - 11 - 31 - 19 =-62

5x + 10x +7x + 13x + 8x = 43x

so now we have

540 = 43x - 62

step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

now we have

602 = 43x

step 3 divide each side by 43

43x/43 = x

602/43=14

we're left with x = 14

Now we want to plug in x for angle S

13(14) - 31

13*14=182

182-31=151

So we can conclude that the measure of angle S is 151 degrees

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.

When utilizing leftover raw salmon, dairy products, a baguette, and random herbs for passed appetizers, Dorothy has several options to consider. The choice between cold or hot appetizers will depend on her preferences and the available cooking equipment. Here are a few ideas for both cold and hot appetizers:

Cold Appetizers:

Salmon Bruschetta: Slice the baguette and top each slice with thinly sliced raw salmon. Add a dollop of herbed cream cheese or yogurt on top and garnish with fresh herbs.

Smoked Salmon Canapés: Cut the baguette into small rounds and top each with a spread of cream cheese or crème fraîche. Place a piece of smoked salmon on top and garnish with dill or chives.

Salmon Tartare: Finely chop the raw salmon and mix it with diced onions, capers, and a creamy dressing made with dairy products. Serve it on toasted baguette slices and garnish with herbs.

Hot Appetizers:

Salmon Croquettes: Combine leftover raw salmon with mashed potatoes, herbs, and breadcrumbs. Shape the mixture into small patties and pan-fry them until golden brown. Serve with a dip made from dairy products and herbs.

Salmon Stuffed Mushrooms: Remove the stems from large mushrooms and fill the caps with a mixture of cooked salmon, cream cheese, herbs, and breadcrumbs. Bake them until the mushrooms are tender and the filling is golden.

Salmon and Cream Cheese Puff Pastry Pinwheels: Roll out puff pastry dough and spread a layer of cream cheese mixed with herbs. Place strips of smoked salmon on top and roll the pastry into a log. Slice into pinwheels and bake until golden and puffed.

Remember to adjust the recipes based on the available ingredients and personal preferences. Experiment with different combinations and flavors to create unique and delicious passed appetizers using the leftover ingredients.

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Answer:

132 square inches

Step-by-step explanation:

The surface area of a pyramid is the sum of the areas of all of its faces. Since the base of the pyramid is a square with an edge length of 6 inches, the area of the base is 36 square inches (6 inches x 6 inches).

To find the surface area of the pyramid, you also need to find the area of the lateral faces of the pyramid. The lateral faces of a pyramid are the triangular faces that are not the base. The lateral faces of a pyramid are all congruent, meaning that they are all the same size and shape.

To find the area of a lateral face of the pyramid, you can use the formula for the area of a triangle: A = 1/2bh, where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.

In this case, the base of the triangle is 6 inches (the edge length of the base of the pyramid) and the height of the triangle is 8 inches (the slant height of the pyramid). The area of each lateral face of the pyramid is therefore 1/2 x 6 inches x 8 inches = 24 square inches.

Since there are 4 lateral faces on the pyramid, the total area of the lateral faces is 4 x 24 square inches = 96 square inches.

To find the surface area of the pyramid, add the area of the base to the area of the lateral faces: 36 square inches + 96 square inches = 132 square inches. Therefore, the surface area of the pyramid is 132 square inches.