The statement supported by the plot is that the IQR of the distribution is roughly 10. It is possible to estimate the median from the plot, and the distribution appears to be unimodal, with the mean being smaller than the median. There are no outliers shown in the plot.
The relative frequency histogram provides a visual representation of the distribution of the data. From the plot, it is possible to estimate the median, which is the middle value of the distribution, as well as the interquartile range (IQR), which is the difference between the upper and lower quartiles. The IQR of the distribution is roughly 10, which can be seen by the distance between the upper and lower quartiles in the plot. Additionally, the distribution appears to be unimodal, which means that it has only one mode or peak. It is also apparent that the mean of the distribution is smaller than its median, as the peak is shifted to the left of the median. Finally, there are no outliers shown in the plot, as all of the values appear to be within the range of the distribution.
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The scale model of a building is 5.4 feet tall.
A. If the
original building is 810 meters tall, what was the scale used to
make the model?
B. If the model is made out
of tiny bricks each measuring 0.4 inch in
height, how many bricks tall is the model?
Answer:
answer in image blow
Step-by-step explanation:
What is the domain and range for this graph?
The domain is R(-∞,∞) and the range is R(-∞,∞) for this graph.
What do you mean by the domain and range of the graph?
Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values, or range.
According to the given question,
We have a given graph in the question.
Now, we can see that line on the graph is covering both sides of the x-axis and y-axis on the graph,
Domain of the graph is R(-∞,∞).
Range of the graph is R(-∞,∞).
Therefore, the domain is R(-∞,∞) and the range is R(-∞,∞) for this graph.
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According to the given information the domain of this graph is (− ∞, + ∞) and the range of this graph 2.
What is the range and domain?Graphs may be used as another tool for determining the domain as well as range of functions. The domain of something like a graph is made up of each of the input values displayed on the x-axis since the term "domain" refers towards the set of potential input values. The y-axis of a graph represents the potential output values, or range.
What are domain and range?In order to identify the numbers of something like the autonomous variable x and acquire the domain, we simply solve the formula y = f(x). Simply put, x=g(y) will determine the function's range once we identify g's domain (y).
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The monthly salaries (in thousands of dollars) of a sample of 5 sales representatives are as follows.
8, 6, 12, 11, 13
Send data to calculator
Find the standard deviation of this sample of monthly salaries. Round your answer to two decimal places.
0
The standard deviation of the sample of monthly salaries is 2.74
What is Standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.
>Standard deviation gauges a dataset's dispersion from its mean.
>It is determined as the variance's square root.
Detailed Calculation:Mean = [tex]\frac{(8+6+12+11+13)}{5} = 10[/tex]
Variance = [tex]\frac{((8-10)^{2}+(6-10)^{2}+(11-10)^{2}+(13-10)^{2} )}{(5-1)} = 6[/tex]
Standard deviation = [tex]\sqrt{7.5} = 2.7386[/tex]
when rounded off to two decimals 2.7386≈2.74.
The standard deviation of the sample of monthly salaries is 2.74
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evaluate 1000 2/3 what would be the answer
2000/3
Hope it helps
Mark Brainlist
Solve the problem and then click on the correct graph.
y≥ lx+1l
Answer:
y is equal to or greater than 1x
Step-by-step explanation:
Factor 24cd − 36c2d.
12c2d(2 − 6)
12cd(2 − 36c2d)
6cd(4 − 36c2d)
4cd(6 − 9c)
Answer:
4cdb ( 6 − 9c )
Step-by-step explanation:
24cd = 4cd × 6
36c²d = 4cd × 9c
24cd − 36c²d = 4cd ( 6 − 9c )
Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. What is the greatest number of containers he can make if he wants each container to have the same number of colored pencils and markers
The greatest number of containers is 2⁴ = 16 containers.
How to find the greatest number of containers he can make?Since Mr. Pinello has 80 colored pencils and 64 markers to divide into containers for his class. He wants each container to have the same number of items. To find the number of containers, we need to find the highest common factor (H.C.F) of both numbers.
So, writing both numbers in prime factorization, we have
For the 80 colored pencils,
80 = 2 × 2 × 2 × 2 × 5
= 2⁴ × 5
Also, the prime factorization for the 64 markers, we have
64 = 2 × 2 × 2 × 2 × 2 × 2
= 2⁶
So, the highest common factor is 2⁴
So, the greatest number of containers is 2⁴ = 16 containers.
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find the range of the function y = 1/2x + 2 if the domain is {-4, -2, 0}
The range of the function y = 1/2 x + 2 is {0, 1, 2}, if the domain of the function is {-4, -2, 0}.
What is function?An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable.
The given function is,
y = 1/2 x + 2.
Also, the domain of the function is {-4, -2, 0}.
Since, the domain of the functions defines the values of x,
And range defines the value of y in function.
The value of y at x = -4
y = 1/2(-4) + 2 = -2 + 2 = 0
At x = -2,
y = 1/2(-2) + 2 = -1 + 2 = 1
At x= 0,
y = 1/2 (0) + 2 = 2
The values of y are 0, 1 and 2.
Hence, the range of the function is {0, 1, 2}.
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Which of the following is the best description of a simple random sample of size n from a population of size N.
A) Any method of sampling in which individuals are selected in a completely haphazard fashion.
B) Any method of sampling in which every group of individuals of size n is equally likely to be selected.
C) Any method of sampling in which every individual is equally likely to be selected.
D) Any method of sampling in which each individual has a probability of n/N of being selected.
E) Any method of sampling that involves the use of a random digits table.
The best description of a simple random sample of size n from the population of size N is that any method of sampling in which every individual is equally likely to be selected. The correct answer is option C.
What is simple random sampling?Simple random sampling is a kind of probability sampling in which the researcher randomly chooses a subset of participants from a population. Every member of the population has an equal chance of being chosen. Then, the data is collected from as large a percentage as possible of this random subset.
A simple random sample is identical to a random sample. The difference is that in a simple random sample, each member in the population has an equal chance of being selected. With random sampling, each member does not automatically have an equal chance of being selected.
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Which choices are common factors of the numerator and denominator of the fraction below? Check all that apply. HELP PLEASEE
9/12
A. 12
B. 3
C. 9
D. 1
E. 36
F. 4
Answer:
B and D
Step-by-step explanation:
While D is a given factor for any number, 3 is the only number that 9 and 12 can be evenly divided by.
What fraction is equal to 75% of 1/2
Answer:
equal 3/8 or 0.375 siuuuuu
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 20 feet
per second. The height, h, of the pebble after t seconds is given by the equation h= -16+201+1200. How long after
the pebble is thrown will it hit the ground? Use a graphing calculator to solve the problem.
Help pleasee asap
Answer:
Below
Step-by-step explanation:
h = height = 0 when it hits the ground
sooooo...
0 = -16t^2 + 20t + 1200 <==== you equation ommited the t' s and 20t
Use Quadratic Formula a = -16 b = 20 c = 1200
to find t = 9.3 s
When a tractor pulls a plow through an agricultural field, the energy needed to pull that plow is called the draft. The draft is affected by environmental conditions such as soil type, terrain, and moisture. A study was conducted to determine whether a newly developed hitch would be able to reduce draft compared to the standard hitch. (A hitch is used to connect the plow to the tractor.) Two large plots of land were used in this study. It was randomly determined which plot was to be plowed using the standard hitch. As the tractor plowed that plot, a measurement device on the tractor automatically recorded the draft at 25 randomly selected points in the plot. After the plot was plowed, the hitch was changed from the standard one to the new one, a process that takes a substantial amount of time. Then the second plot was plowed using the new hitch. Twenty-five measurements of draft were also recorded at randomly selected points in this plot. a. What was the response variable in this study? Identify the treatments. What were the experimental units? b. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was randomization used properly in this study? Justify your answer. c. Given that the goal of the study is to determine whether a newly developed hitch reduces draft compared to the standard hitch, was replication used properly in this study? Justify your answer. d. Plot of land is a confounding variable in this experiment. Explain why.
a. The response variable in this study is the draft.
The response variable is the variable that is being measured or predicted in a study. It is also known as the dependent variable. The treatments are the standard hitch and the new hitch. The experimental units are the 25 randomly selected points in each plot.
b. Yes, randomization was used properly in this study.
By randomly assigning one plot to use the standard hitch and the other plot to use the new hitch, the researcher is ensuring that any difference in draft observed between the two plots is not due to any other factors besides the hitch.
c. No, replication was not used properly in this study. Replication involves taking multiple measurements of the same treatment to ensure that any observed differences between treatments are not due to random variation.
By only taking 25 measurements of each treatment, it is impossible to determine whether any observed differences are due to the treatment or just random variation.
d. Plot of land is a confounding variable in this experiment.
This is because the two plots may differ in soil type, terrain, and moisture, which can all affect the draft. This means that any observed difference in draft between the two plots may be due to the hitch, but it may also be due to the difference in environment between the two plots.
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The vertices of ABC are A(3,-4), B(-4,-2), and C(1,1). For the translation below, give the vertices of A’B’C
T(-5, -2 (ДАВС)
The vertices of A'B'C' are A, B, and C
(Simplify your answers. Type ordered pairs.)
The translated vertices from the given vertices are:
A(3, -4) → A'(-2, -6)
B(-4, -2) → B'(-9, -4)
C(1, 1) → C'(-4, -1)
What is the translation rule?The translation rule for the coordinates of a graph is given by
(x, y) → (x + a, y + b)
Here the coordinates (x, y) are translated by (a, b) units.
Calculation:The given vertices of a ΔABC are:
A(3, -4), B(-4, -2), and C(1, 1)
If the vertices are translated by T(-5, -2) units, then the new vertices after translation are calculated by using the rule (x, y) → (x + a, y + b). Here (a, b) is (-5, -2).
Thus,
A(3, -4) → (3 - 5, -4 - 2) ⇒ A'(-2, -6)
B(-4, -2) → (-4 - 5, -2 - 2) ⇒ B'(-9, -4)
C(1, 1) → (1 - 5, 1 - 2) ⇒ C'(-4, -1)
Therefore, the translated version of the ΔABC is ΔA'B'C' and its vertices are A'(-2, -6), B'(-9, -4), and C'(-4, -1).
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algebra: please check the picture, there is 2 question
answer for 50 point
The {-4, 0, 1} represents members of the domain of the graphed function.
What is the domain of the function?
A function is a mathematical object that accepts input, appears to apply a rule to it, and returns the result.
A function can be thought of as a machine that requires in a number, performs some operation(s), and then outputs the result.
The domain of a function is the collection of all its inputs. Its codomain is the set of possible outputs.
The range refers to the outputs which are actually used.
We have,
collection of the ordered pairs represents a function:
{(4, 19), (-2, 77), (0, 10), (1/2, 9/5), (1, 10), (-3, 0), (100, 100)
a) Domain of the function is:
{ -2, -3, 0, 1/2, 1, 4, 100}.
b) Range of the function is:
{ 0, 9/5, 10, 19, 77, 100}.
Hence, the Domain of the function is { -2, -3, 0, 1/2, 1, 4, 100} and the Range of the function is {0, 9/5, 10, 19, 77, 100}.
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2. The linear equation that represents this table of values is
x
0
1
2
3
y
4
3
2
0
The required linear equation that represents the table is y = -x + 4.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The values of x are 0, 1, 2, 3,
And values of y are 4, 3, 2, 1.
The linear equation that represents the values, can be written as,
y = -x + 4
When the values of x are substitute in the above equation, the values of y are,
At x = 0, the value of y = 4
At x = 1, the value of y = 3
At x = 2, the value of y = 3
And at x = 3 the value of y = 1
Hence, the required linear equation is y = -x + 4.
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The average of a list of n numbers is 90. After the number 90n is added to the list , the average of list is 168. Find n?
Answer:
14
Step-by-step explanation:
[tex]\frac{90n+90n}{n+1}=168 \\ \\ 180n=168n+168 \\ \\ 12n=168 \\ \\ n=14[/tex]
Answer:
Step-by-step explanation:
Let the sum of the original list of n numbers be S. The average of the list is given by:
average = S/n
Since the average is 90, we can write:
90 = S/n
Multiplying both sides by n, we get:
90n = S
After the number 90n is added to the list, the average of the list becomes 168. The sum of the list is now S + 90n. The number of elements in the list is now n+1. The average of the list is given by:
average = (S + 90n) / (n+1)
Since the average is 168, we can write:
168 = (S + 90n) / (n+1)
Multiplying both sides by n+1, we get:
168(n+1) = S + 90n
Substituting for S using the equation S = 90n, we get:
168(n+1) = 90n + 90n
Simplifying, we get:
168n + 168 = 180n
Subtracting 168n from both sides, we get:
168 = 12n
Dividing both sides by 12, we get:
14 = n
Therefore, n = 14.
What is the area of the remaining figure?
Answer:
136 in^2
Step-by-step explanation:
The rectangle withOUT the missing part is 20 X 8 = 160 in^2
now subtract the 4-12 traingle
160 - 1/2 (4 X 12) = 136 in^2
Answer:
area of triangle = 1/2bh
= 1/2(4)(20-8)
= 1/2(4)(12)
= 24 in²
area of rectangle = lw
= 20(8)
= 160 in²
answer
= area of rectangle - area of triangle
= 160 - 24
= 136 in²
Therefore, the area of the remaining figure is 136 in²Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-The area of the triangle is 22.4 cm². Calculate the length, b, of the longest side of the triangle.
The length, b, which is the longest side of the triangle, can be found to be 13.172 cm.
How to find the length ?To find the area of 22.4 cm², the formula used was:
Area = 1/2 x a x b x Sin(C)
Using this formula, we can find the value of side a to be :
22.4 = 1/2 x 3.7 x a x Sin(97°)
a = 12. 199 cm
We can then use the Cosine rule to find the value of b, which is the longest side:
b² = a² + c² - 2 x a x c x Cos(B)
b = √ ( a² + c² - 2 x a x c x Cos(B))
b = 13. 172 cm
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The length of a piece of wire is 5/6 the length of a rope. The length of a piece of string is 1/4 the length of the rope. The length of the piece of string is 4.5 centimeters. Find the ratio of the length of the piece of wire to the length of the rope to the length of the piece of string.
Show your solution.
The ratio of the length of the piece of wire to the length of the rope to the length of the piece of string is 6:5:1.5
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Let the length of the rope = x
Length of a piece of wire = (5/6)x
Length of a piece of string = (1/4)x
Length of the piece of string = 4.5cm
This can be written as,
4.5cm = (1/4)x
45/10 x 4 = x
x = 9 x 2
x = 18 cm
Now,
Length of the rope = 18 cm
Length of a piece of wire = 5/6 x 18 = 15 cm
Now,
Length of the rope : Length of a piece of wire : Length of a piece of string
18:15:4.5
We can simplify the ratio as,
Taking out the common factor 3.
6:5:1.5
Thus,
The required ratio is 6:5:1.5
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Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
Answer:
x^4 – 6x^2 – 27 = 0 6(2x + 4)^2 = (2x + 4) + 2 6x^4 = -x^2 + 5Step-by-step explanation:
You want to identify the equations that are quadratic in form.
QuadraticA polynomial equation is "quadratic in form" if the powers of the variables are integer multiples of {0, 1, 2}, or some subset of these that includes 2. That is, it will be "quadratic" if some substitution z = f(x) is possible such that the resulting equation in z is a polynomial equation of degree 2.
x^4 – 6x^2 – 27 = 0Term are degrees 0, 2, 4, so this is "quadratic in form". The substitution z=x^2 will give a quadratic in z.
3x^4 = 2xTerm degrees are 1 and 4, so this is not quadratic.
2(x + 5)^4 + 2x^2 + 5 = 0The substitution z = (x+5)^2 is suggested by the 4th-power term, but the remaining terms cannot be written as a linear function of z. This is not quadratic.
6(2x + 4)^2 = (2x + 4) + 2
This is a straight quadratic equation. One could substitute z=2x+4, but that is not necessary. This is "quadratic in form."
6x^4 = -x^2 + 5Term degrees are 0, 2, 4, so this is "quadratic in form."
8x^4 + 2x^2 – 4x = 0Term degrees are 1, 2, 4, so this is not quadratic.
The starting voltage of a fresh alkaline battery is 1.45 V The voltage decreases during discharge and is 0.70 V when the battery has delivered its rated capacity If we assume that the voltage declines linearly as current is withdrawn, estimate the total maximum electrical work the battery could perform during discharge.
An "AA" alkaline battery yields a nominal capacity of 2850 mAh
The total maximum electrical work the battery could perform during discharge is 11 kj.
Describe function.When looking at a graph, we use a procedure known as the Vertical Line Test to determine whether a function is actually a function. Simply drawing a vertical line will reveal whether the graph is a function if it touches it once. The graph is not a function if the vertical line is higher. A function is defined technically as a relationship between a set of possible outputs and a set of inputs, where each input is associated to exactly one outcome.
Given
Work is dependent on power.
Power is function on voltage.
Voltage is linear, according to the query, so:
V(t) = at + V
a = Slope
a = 0.70 - 1.45/3600s
P(t) = V*I = V(t) *I (I= 2850 mA)
Then,
W= ∫03600 P(t) dt
= ∫03600 ( at +1.45 )*I dt
= I × ∫03600 ( at +1.45 )dt
W= 2.850( a*36002 /2 + 1.45*3600)
W = 11
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The double number line shows that 444 bottles of water cost 101010 dollars at a music festival.Based on the ratio shown in the double number line, how much does 333 bottles of water cost?
Answer:
appt
Step-by-step explanation:
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.
What is the length of the hypotenuse of the triangle? Round to the nearest tenth.
3.9 in.
4.1 in.
22.7 in.
23.0 in.
The length of the hypotenuse of the right triangle is 4.1in
What is trigonometry ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
In trigonometry, if θ is the angle opposite the 4 in line, then sinθ= opp/hyp
cosθ=adj/hyp
tanθ= opp/adj
to find the hypotenuse
sin80= 4/hyp
hyp= 4/sin80
hyp = 4/0.985
therefore the hypotenuse = 4.1 in
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An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer.
Construct a scatter plot for the data obtained in the experiment. Complete your work in the space provided or upload a
file that can display math symbols if your work requires it. Be sure to label the axes and include an appropriate scale for
the numerical labels.
Answer: The wording may be confusing, but the problem is simple.
All they are asking you to do is to plot those x-y value pairs as data points on a graph. Doing that is very basic to science. In science, you put your data on a chart and look at how it shapes up to draw conclusions.
So your first point has x=325.0 and y=1.10,
your second point has x=348.9 and y=1.40, and so on.
If using pencil and paper, your best bet is to use graphing paper, or at least grid paper. Then your first step would be setting up the scale on the axes. You need to fit points with y values between 0.25 and 1.40, so you may want to set the scale on the y-axis so it covers the range from 0 to 1.6 at least (maybe even 0 to 2). Your x values are between 230.0 and 348.9, so you could set up your x-axis so that it includes 0 to 360 (or 0 to 400). Alternatively, you may not include x values all the way down to zero and set your x scale from 200 to 360 only,
The conclusion that you would draw from your plot is that the power seems to vary linearly with speed. The data points are almost in a straight line. They are not perfectly aligned, of course. There is always some variability in accurate data, but you can see a trend. You could draw a line that seems to fit the points best and use it to predict that the power at 250 rpm would be 0.44 hp for example.
Step-by-step explanation:
Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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What is the slope of the line that contains the points (2, -7) and (-1, 5)?
- -4
- -1/4
- 1/4
- 4
PLS ASAP
Answer:
-4
Step-by-step explanation:
I use this equation to solve it^^
The Maid of the Mist is a boat tour at the bottom of Niagara Falls. The boat carries an average of 500 people per day for a fare of $20/each. The operators estimate that for each $1 increase in fare, 20 fewer people will take the trip. (HINT: Revenue = Price x Sales)
What fare will maximize the revenue of the Maid of the Mist boat tours?
The Maid of the Mist is a boat tour at the bottom of Niagara Falls. the fare that will maximize the revenue of the Maid of the Mist boat tours is $30.
What fare will maximize the revenue of the Maid of the Mist boat tours?Generally, To maximize the revenue of the Maid of the Mist boat tours, we need to find the fare that results in the highest total revenue.
The total revenue is equal to the price of the ticket multiplied by the number of tickets sold. We are given that the boat tour currently charges a fare of $20/each and that for each $1 increase in fare, 20 fewer people will take the trip.
Let's call the number of tickets sold at a given fare "x". We can express the total revenue as a function of the fare as follows:
Total revenue = Fare * x
We are also given that for each $1 increase in fare, the number of tickets sold decreases by 20. We can express this relationship as follows:
x = 500 - (Fare - 20) * 20
Substituting this expression for x into our equation for total revenue, we get:
Total revenue = Fare * (500 - (Fare - 20) * 20)
To find the fare that maximizes the total revenue, we can take the derivative of this function with respect to Fare and set it equal to zero:
d(Total revenue)/d(Fare) = 0 = 1 - (Fare - 20) * 40
Solving for Fare, we find that the fare that maximizes the total revenue is $30.
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What is the equation for the line that passes through the points (3, 4) and (5,8)?
Answer:
y=2x-2
Step-by-step explanation:
formula for the equation of a line is y=mx+b
formula for slope is (y2 - y1)/(x2-x1)
which makes the slope 2 (m=2)
then calculate for b which is -2
finally the formula is y = 2x - 2
write the converse, contrapositive, and negation of the following statement. for all the heroes in the mcu, if jessica is strong, then luke is invulnerable and matt is blind.
Assume "in the event that p, q" is the given contingent assertion "in the event that ∼q, ∼p" is its contrapositive assertion. Consider the situation in which the conditional statement "if p, then q" serves as its converse statement.
What's the opposite of?Reversing the two statements that make up a categorical or implicational statement yields its opposite in logic and mathematics. The opposite of the implication P Q is Q P.
What is the contrapositive of P Q?The converse statement (q p) and inverse statement (p q) of a conditional statement p q are equivalent to one another. The statement p q and its counter positive counterpart, q p, are equivalent.
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