Zoe is doing a survey to find the time her classmates spend playing video games. She asks the following question:

Which student spends the most time playing video games?

Part A: Describe the data you would expect her to collect from this question.

Part B: Explain whether this is a statistical question. If this is not a statistical question, then modify the question to make it statistical.
i need help

Answers

Answer 1

Answer:

Part A: The data that Zoe would expect to collect from this question is the amount of time each student spends playing video games. She could collect this data by asking each student how many hours per week they spend playing video games.

Part B: This is not a statistical question because it is asking for a specific answer. A statistical question would be asking for a distribution of the data, such as the average amount of time students spend playing video games or the range of times students spend playing video games.

To make this question statistical, Zoe could ask the following question:

How much time do students in my class spend playing video games per week?

This question is statistical because it is asking for a distribution of the data. Zoe could then collect the data and use it to create a histogram or other graph to show the distribution of the data.


Related Questions

The table shows the mass of four packages. What is the total mass of the packages?

Answers

The total mass of the packages is 37.04 kg

What is the total mass of the packages?

In math, mass means the amount an object weighs. To find the mass we use a balance or weights. The units used to denote mass are gram (g) and kilogram (kg).

Given that:

Masses (KG) are 3.94, 14.18, 11.27 and 7.65 (KG) for Package 1 to 4 respectively.

The total mass of the packages is:

= 3.94 + 14.18 + 11.27 + 7.65

= 37.04 kg

Read more about mass

brainly.com/question/11283078

#SPJ1

How many miles are there in 76 kilometers?

Answers

Answer:

There are 47.2242 miles in 76 kilometers.

1.6 km = 1 mile

76 km = 76/1.6 = 47.5 mile

There are 47.5 miles in 76 kilometers.

There are 40 students, 20 of them passed. If there are 100 student ,how many students will pass ?

Answers

Answer:

50 students will pass

Step-by-step explanation:

100÷40=2.5

20×2.5=50

or another way is 20 is half of 40 so half of 100 is 50

The answer is 50 students will pass

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The margin of error is given as follows:

D) +- 6.7%.

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The margin of error is given as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The parameters are given as follows:

[tex]n = 220, \pi = 0.38[/tex]

Hence the margin of error is given as follows:

[tex]M = 1.96\sqrt{\frac{0.38(0.62)}{220}}[/tex]

M = 0.067.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

A dresser has 5 shelves. One shelf has x shirts and four shelves have y shirts. What is the total number of shirts in the dresser? A) 4y + × B) 3 - y C) x + 2y D) (x+x) - y

Answers

The total number of shirts in the dresser is 4y + ×. The correct option is A

To calculate the total number of shirts in the dresser

We need to add up the number of shirts on each shelf.

The first shelf's shirt count is indicated with the number x.

y indicates how many shirts are present on each of the four remaining shelves.

We may add up the shirts on each rack to determine the overall number of shirts:

Total = x + y + y + y + y

Simplifying the expression, we have:

Total = x + 4y

Therefore, The total number of shirts in the dresser is 4y + ×.

Learn more addition here : brainly.com/question/29781964

#SPJ1

The table shows the mass of four packages. What is the total mass of the packages?

Answers

Answer:

hello

the answer is:

total mass = 3.94 + 14.81 + 11.27 + 7.65 = 37.65 kg

In a town, 60% of the police officers have ride-alongs with teenagers who want to join the police force. 258 police officers have ride-alongs. How many police officers are there altogether?

Answers

Using the given percentage, we can see that there are a total of 430 police officers.

How many police officers are there altogether?

If the total number of police officers is N, we know that 60% of that have a ride-along, and 258 police officers have a ride along, then we can write the equation:

258 = 0.6*N

Now we can solve that equation for N (to do so, just divide both sides of the equation by 0.6), we will get:

258/0.6 = N

430 = N

In this way, we can see that the total number of police officers is 430.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

{-1} x even times of times

Answers

The number which is the result of the exponential expression [tex](-1)^x[/tex], in which x is an even number, is given as follows:

1.

How to obtain the rule for the powers of -1?

The exponential expression representing the power x of the base -1 is given as follows:

[tex](-1)^x[/tex].

There are two possible results, given as follows, depending if x is even or odd:

If x is an even number, the result of the expression is of 1.If x is an odd number, the result of the expression is of -1.

For this problem, we have that the exponent x is an even number, hence the result is of 1.

More can be learned about the exponents at https://brainly.com/question/11975096

#SPJ1

100 Points. Algebra question, photo attached. Graph the function. Describe its key characteristics. Thank you!

Answers

Answer:

Domain = (-∞, ∞) Range = (-∞, ∞)

End Behavior: As X -> -∞, Y -> -∞ | As X -> ∞, Y -> ∞

Inflection Point: (2,0)

Step-by-step explanation:

Hi can you help me please

Answers

Answer:

  C.  1000/x + 5000/(2x -10)

Step-by-step explanation:

You want the total time a climber spent when he climbed 1000 feet at x feet per hour, and 5000 more feet at (2x -10) feet per hour.

Time

The relation between time, speed, and distance is ...

  time = distance / speed

The total time is the sum of the times for the two distances.

First time

The time for 1000 ft at x feet per hour is ...

  time 1 = 1000/x

Second time

The rate for the second part of the climb was 10 ft per hour less than twice the first rate, so was ...

  2x -10

Then the time for 5000 ft at this rate is ...

  time 2 = 5000/(2x -10)

Total time

The total time spent climbing was ...

  total = time 1 + time 2

  total = 1000/x + 5000/(2x -10) . . . . . . matches choice C

__

Additional comment

The relation between speed, time, and distance is usually seen as ...

  speed = miles per hour

As a fraction, this is ...

  speed = distance / time

Above, we rearranged this to ...

  time = distance / speed

It's just another form of the relationship ...

  distance = speed × time

<95141404393>

You cut out a piece of fabric in the shape of a kite so that the congruent angles of the kite are each
100°. Of the remaining two angles, one is 4 times larger than the other. What is the measure of the
largest angle in the kite?

Answers

Answer:

Let x be the measure of the smaller angle.

The larger angle is 4x.

The sum of the angles in a kite is 360 degrees.

So, 100 + 100 + x + 4x = 360

6x = 160

x = 26.67

The larger angle is 4x = 106.67 degrees.

So the answer is 106.67

What do we use to measure the area of a leaf?​

Answers

Answer:

The area of a leaf is obtained by using a graph paper. A graph paper has small squares of area 1 mm 2 each. The area of the leaf will be equal to the number of squares it covers on the graph paper.

Step-by-step explanation:

Evaluate the expression.
log4 (x-7)=3

X= 71
X= 19
x = 57

Answers

Answer:

x = 71

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

then

[tex]log_{4}[/tex] (x - 7) = 3 , then

x - 7 = 4³ = 64 ( add 7 to both sides )

x = 71

4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2

Answers

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

3. A phone company set the following rate schedule for an m-minute
call from any of its pay phones.

c(m) =
0.70 when m ≤ 6
0.70 + 0.24(m − 6) when m > 6 and m is an integer
0.70 + 0.24([m − 6] + 1) when m > 6 and m is not an integer
a. What is the cost of a call that is under six minutes?
b. What is the cost of a 14-minute call?
c. What is the cost of a 9 __
1
2
-minute call?

Answers

For a call that is under six minutes, the cost is $0.70, the cost of a 14-minute call is $2.62 and the cost of a 9-minute call is $1.90.

For a call that is under six minutes, the cost is $0.70.

This is because the rate schedule specifies that for m ≤ 6 minutes, the cost is a flat rate of $0.70.

For a 14-minute call, we can apply the second part of the rate schedule. Since 14 > 6 and 14 is an integer, the formula to calculate the cost becomes:

c(m) = 0.70 + 0.24(m - 6)

Plugging in m = 14:

c(14) = 0.70 + 0.24(14 - 6)

c(14) = 0.70 + 0.24(8)

c(14) = 0.70 + 1.92

c(14) = 2.62

Therefore, the cost of a 14-minute call is $2.62.

c. For a 9-minute call, we again apply the second part of the rate schedule. Since 9 > 6 and 9 is not an integer, the formula becomes:

c(m) = 0.70 + 0.24([m - 6] + 1)

Plugging in m = 9:

c(9) = 0.70 + 0.24([9 - 6] + 1)

c(9) = 0.70 + 0.24(4 + 1)

c(9) = 0.70 + 0.24(5)

c(9) = 0.70 + 1.20

c(9) = 1.90

Therefore, the cost of a 9-minute call is $1.90.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

draw angle EFG of size 42 degreees

Answers

Angle EFG is an angle with a measure of 42 degrees is drawn below.

Given that, angle EFG= 42 degrees.

Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.

Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.

To learn more about the construction of an angle visit:

https://brainly.com/question/28451077.

#SPJ1

Which measure would you describe the center of the data?

Answers

The choice of measure depends on the characteristics of the data and the purpose of the analysis.

The measure commonly used to describe the center of the data is the arithmetic mean or average. The arithmetic mean is calculated by summing all the data points and dividing the sum by the total number of data points. It provides a representative value that balances the contributions of all the data points.

Another measure of center is the median, which represents the middle value when the data is arranged in ascending or descending order. Unlike the mean, the median is not affected by extreme values or outliers, making it a robust measure of central tendency.

Additionally, there is the mode, which represents the most frequently occurring value in the dataset. It can be useful in cases where identifying the most common observation is important.

Each measure has its strengths and limitations, and researchers need to consider the nature of the data and the research question at hand to determine the most appropriate measure of center

For more questions on central tendency

https://brainly.com/question/28180169

#SPJ8

The average person sends about 25 e-mails a month. About how many e-mails is this each year?

Answers

Answer:

About 300 e-mails

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

There are 12 months in a year.

Multiply 25 by the number of months to get the number of e-mails per year:

25*12 = 300

Answer:

300

Step-by-step explanation:

To calculate the number of emails sent in a year based on an average of 25 emails per month, you simply multiply the average monthly emails by the number of months in a year.

Average emails per month: 25

Number of months in a year: 12

Therefore,

Emails per month × Months per year

25 × 12 = 300 emails per year

So, on average, a person would send about 300 emails in a year.


Write v as the sum of two vector components if v = -5i+6j and w = 3i+4j

Answers

Vector v can be written as the sum of two vector components, [tex]v_x = -5i[/tex]  and [tex]v_y = 6j[/tex]

To write vector v as the sum of two vector components, we need to decompose it into two vectors along different directions.

v = -5i + 6j

w = 3i + 4j

We can decompose vector v into two components, one along the x-axis and the other along the y-axis.

Let's denote the component along the x-axis as [tex]v_x[/tex] and the component along the y-axis as [tex]v_y.[/tex]

The x-component, [tex]v_x,[/tex] represents the projection of vector v onto the x-axis and can be found using the dot product of v and the unit vector i:

[tex]v_x = v . i = (-5i + 6j) . i = -5i . i + 6j . i = -5[/tex]

Similarly, the y-component, [tex]v_y,[/tex] represents the projection of vector v onto the y-axis and can be found using the dot product of v and the unit vector j:

[tex]v_y = v . j = (-5i + 6j) . j = -5i . j + 6j . j = 6[/tex]

Now, we can write vector v as the sum of its components:

[tex]v = v_x + v_y = -5i + 6j[/tex]

So, vector v can be written as the sum of two vector components: -5i along the x-axis and 6j along the y-axis.

For similar question on components.

https://brainly.com/question/28351472  

#SPJ11

Question 10 of 15
AABC is dilated by a factor of to produce AABC
What is BC, the length of BC after the dilation? What is the measure of A?
OA BC-1, mA' = 37"
B. BC-1.3, mA' 53"
C. BC-9, mA' = 37"
D. BC-1, mcA= 12.3"

Answers

The measure of LA is . B'C'= 1, mLA' = 37"

How to find measure of LA

A dilation is a mathematical operation that involves multiplying the distance between each point in an object and a fixed point, referred to as the center of dilation, by a constant factor known as the scale factor.

In the given scenario, the scale factor is specified as follows:

k = 1/3.

Consequently, the length of B'C' is obtained by multiplying the length of BC by 1/3, which can be understood as dividing the length by 3 after the dilation.

Read more on dilation here: https://brainly.com/question/31627258

#SPJ1

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The value of x, applying the trigonometric ratios, is given by the following option:

B) 8.0.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

Sine of angle = opposite side/hypotenuse.Cosine of angle = adjacent side/hypotenuse.Tangent of angle = opposite side/adjacent side = sine/cosine.

For this problem, we have that side x is opposite to the angle of 28º, while the hypotenuse has a length of 17.

Hence the length x is obtained as follows:

sin(28º) = x/17

x = 17 x sine of 28 degrees

x = 8.

Learn more about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Complete the statement below to explain how this model shows that 12÷23=34.

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex]

When dividing by a fraction, we just have to multiply by the reciprocal, making the equation:

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{2}[/tex]

Then we multiply and end up with:

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{2}[/tex] [tex]=\frac{3}{4}[/tex]

What is the meaning of "ϕ(x, y, p)"?

Answers

The meaning of "ϕ(x, y, p)" depends on the context in which it is used. Without further information, it is difficult to determine the specific meaning of this expression. However, in mathematics and physics, the symbol "ϕ" often represents a function or a potential.

Symbol "ϕ": The symbol "ϕ" is a Greek letter called "phi" and is commonly used to represent various concepts in mathematics and physics. It is often used to denote a scalar function or a potential.

(x, y, p): The variables x, y, and p represent the independent variables or parameters of the function or potential ϕ. The specific interpretation of these variables depends on the context of the problem.

Function or Potential: In mathematics, a function ϕ(x, y, p) maps elements from the domain (x, y, p) to corresponding values in the range. The function can represent various mathematical relationships or operations.

In physics, the symbol "ϕ" often represents a potential, such as the electric potential or gravitational potential. In this case, ϕ(x, y, p) would represent the potential function that depends on the variables x, y, and p.

Further Context: To fully understand the meaning of "ϕ(x, y, p)", additional information about the specific field of study or problem is necessary. Different disciplines may assign different meanings to this expression.

In conclusion, without additional context, "ϕ(x, y, p)" represents a function or potential with variables x, y, and p. The specific interpretation and meaning of this expression depend on the field of study or problem at hand.

For more such questions on ϕ, click on:

https://brainly.com/question/32199156

#SPJ8

reduce his entertainment percentage to be 12.5% of his total spending. He wants to add the money he will save in his entertainment spending into his grocery budget.

Answers

To reduce his entertainment percentage to 12.5% of his total spending and allocate the savings to his grocery budget, he needs to decrease his entertainment spending and increase his grocery budget accordingly.

To reduce the entertainment percentage to 12.5% of his total spending, the individual needs to make adjustments to his budget.

Calculate the current entertainment percentage:

Let's assume the individual's total spending is $X, and the current entertainment spending is $Y.

The current entertainment percentage can be calculated by dividing Y by X and multiplying by 100.

Current entertainment percentage [tex]= (Y / X) \times 100[/tex]

Determine the desired entertainment spending:

To reduce the entertainment percentage to 12.5%, we need to find the new entertainment spending amount.

Let's call it Z.

Desired entertainment spending [tex]= 0.125 \times X[/tex]

Calculate the amount to be saved:

The amount to be saved is the difference between the current entertainment spending (Y) and the desired entertainment spending (Z).

Amount to be saved = Y - Z

Add the saved amount to the grocery budget:

The individual wants to add the money saved from the entertainment budget to the grocery budget.

Let's call the current grocery budget G.

The new grocery budget (G') will be:

New grocery budget = G + Amount to be saved

By following these steps, the individual can reduce his entertainment percentage to 12.5% of his total spending and allocate the saved money to the grocery budget.

It's important to note that the specific dollar amounts will depend on the individual's current spending and budget.

For similar question on percentage.

https://brainly.com/question/29766078

#SPJ11

Solve five and six-eighths plus four and four-fifths minus two and six-tenths equals blank line

Answers

The solution for the given expression is  7 + 5/12

How to solve this expression?

First we need to write the expression, using fractions, we will get:

(5 + 6/8) + (4 + 4/15) - (2 + 6/10)

We can group like terms, and we will get:

(5 + 6/8) + (4 + 4/15) - (2 + 6/10) = (5 + 4 -2) + (6/8 + 4/15 - 6/10)

Now just simplify that to get.

(5 + 4 -2) + (6/8 + 4/15 - 6/10) =  7 + 3/4 + 4/15 - 3/5

                                                =  7 + 3/4 + 4/15 - 9/15

                                                = 7 + 3/4 - 5/15

                                                = 7 + 9/12 - 4/12

                                                 = 7 + 5/12

That is the answer.

Learn more about expressions at:

https://brainly.com/question/723406

#SPJ1

Question 1 Find the slope of the line using the graph below. H -10 10 % Enter the slope as an integer or as a reduced fraction. If the slope is undefined typeundefined

Answers

The slope of the line is,

m = - 1

Given that;

Two points on the line are (0, 5) and (5, 0).

Now,

Since, The equation of line passes through the points ((0, 5) and (5, 0).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (0 - 5) / (5 - 0)

m = - 5 / 5

m = - 1

Thus, The slope of the line is,

m = - 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

the price of garri rose by 40 percent last week and also fell by 40 percent this week, what is the total rise or fall in percentage?​

Answers

Answer: The price of garri has fallen by 16% overall.

Explanation:

If the price of garri rose by 40%, it means that the new price is 140% of the original price. If the price then fell by 40%, it means that the new price is 60% of the 140% price. To find the overall change in percentage, we can multiply these percentages together:

140% x 60% = 84%

This means that the final price is 84% of the original price, which is a fall of 16% overall.

Suppose a copy machine is set to reduce a picture that's 8.5 inches by 11 inches to picture dimensions that are one-half the original size. What proportion shows this reduction?

A) 8.5∕11 = 5.5∕4.25

B) 8.5∕11 = 2.125∕2.75

C) 8.5∕11 = 17∕22

D) 8.5∕11 = 4.25∕5.5

Answers

Answer:

D

Step-by-step explanation:

To reach this, you would divide both by half.

8.5 ÷ 2= 4.25

11 ÷ 2= 5.5

therefore, D

A champion bicyclist training in a flat, open area

could ride at 3 times the speed of the wind if the

wind were absent. On this particular day, she

traveled 30 miles against the wind in 2 more hours

than it took to go 40 miles with the wind on the

return trip. What is the speed of the bike in no

wind?

Answers

The solution is:

The average speed of bicyclist is 120 miles per hours

The speed of wind is 30 miles per hours .

Here, we have,

Given as :

The distance that bicyclist cover = d = 30 miles

The time taken by bicyclist to cover 30 miles = t = 5 hours

Let the average speed of bicyclist = x miles per hours

Let The speed of wind = y miles per hours

Now, biking into wind

The time taken in return by bicyclist = 5 hours

Speed = Distance × time

i.e  x + y = d × t

∴  x + y = 30 miles × 5 hours

Or, x + y = 150 mi/h          ...........A

Again

Now, biking against wind

The time taken in return by bicyclist = 3 hours

∵ Speed = Distance × time

i.e  x - y = d × t

∴  x - y = 30 miles × 3 hours

Or, x - y = 90 mi/h                  ......B

Solving equation A and B

(x + y) + (x - y) = 150 mi/h + 90 mi/h

Or, (x + x) + (y - y) = 240 mi/h

Or, 2 x + 0 = 240 mi/h

∴   x = 240/2

i.e. x = 120 mi/h

So, The average speed of bicyclist = x = 120 miles per hours

Now, Put the value of x into eq B

∵ x - y = 90 mi/h

Or,  120 mi/h  - y = 90 mi/h

∴ y = 120 mi/h - 90 mi/h  

I.e.  y = 30 mi/h

So, The  speed of wind = y = 30 miles per hours

Hence, The average speed of bicyclist is 120 miles per hours

And The speed of wind is 30 miles per hours .

To learn more on speed click:

brainly.com/question/28224010

#SPJ1

complete question:

Biking into the wind on a flat path, a bicyclist takes 5 hours to travel 30 miles. The return bike takes 3 hours. The wind speed remains constant during the trip. What is the bicyclist's average speed in the air? What is the speed of the wind?

Find the median and mode (in that order) for the amusement ticket orices in dollars. 35, 55, 38, 35, 37

Answers

Answer:

Step-by-step explanation:

median is 37 mode is 20

Other Questions
all connective tissues arise from an embryonic tissue called mesenchyme.T/F within a myofibril z discs separate the functional units known as All diets had the same amount of calories Honly the for 3 months: (a) high in fat; (b) high in protein; (c) high composition was then recorded. Summary statistics are shown below. Norrmal Std dev 194 varies among the diets. the hawaiian islands are located where the pacific plate is: question 12 options: being subducted beneath the north american plate. being subducted beneath japan. being thrust over the north american plate. diving under japan. moving over a hot spot. What is a sigma factor and, in general, how do they facilitate control of gene expression in bacterial cells? Choose one sigma factor to provide detail regarding its functioning and regulatory activities. You must start a thread before you can read and reply to other threads Why was the Elizabethan Poor Law of 1601 significant?a) It was the only law that dealt with children. b) It represented a compilation and refinement of all the antipoverty legislation of the previous 250 years.c) It represented a compilation of all the antipoverty legislation and added an equal wage law. d) It was the first piece of legislation Queen Elizabeth signed into law. Use False-Position method to find a real root of f(x) = x3 - 2x - 5 = 0 correct to three decimal places. Please solution how often do candidates for house seats have to campaign? create a powerpoint presentation on various e commerce websites. compare them and write which one is your favourite and why A surrogate birth can cost future parents between -$8,000 and $16,000 -$25,000 and $45,000 -$60,000 and $80,000 -$150,000 and $175,000. Find the average rate of change of g(x) = x over the interval[-9, -2].Write your answer as an integer, fraction, or decimal rounded tonearest tenth. Simplify any fractions. 15. What type of auto insurance are you required to carry in almost every state write an equation of the line that passes through the points (0,-2),(3,13) Suppose that the (inverse) market demand curve for a new drug, AdiposeOff, designed to painlessly reduce body fat, is represented by the equation P = 100 2Q, where P is the price in dollars per dose and Q is the annual output. (The MR curve is thus given by the equation MR = 100 4Q.) Suppose also that there is a single supplier of the drug who faces a MC, as well as AC, of producing the drug, equal to a constant $20 per dose. What are the monopolist's profitmaximizing output and price? What is the resulting deadweight loss relative to the competitive outcome? Preparing a solution A liter of fluid is 50% alcohol. How much water must be added to dilute it to a 20% solution? An argumentative speech establishes a position on a topic in a concise manner by: (Select all that apply) Group of answer choices citing evidence . establishing a clear, concise claim . making logical connections between evidence and conclusions introducing a summary Based on the histories of lottery winners, sudden wealth bringsmany genuine offers of friendship.guaranteed happiness.a threat.only pleasant consequences avoiding acronyms and unnecessary jargon or technical terms will help your audience understand and remember your message. which strategy does this advice refer to? Solve the following systems of equations by matrix method (i.e., by solving the eigenvalue problem). (a) { x=18x+6yy=45x+15y}(b) x =(01)(-2 3)x(c) {x1 =x1 + 5x2 x2 =x1 3x2} (d) {x =4x+5yy =x+2y}(e) x = (3 28 3)x(f) {x1 =2x1 - x2 x2 = x1 4x2}(g) x =( 1 3 3 9)x(h) x =( 3 0 0 3)x adequate distribution for a new product can often be attained by