The following is the R code that produces the given plot layout 2 5 1 3 with the red-colored square box, using the "layout()" function in R:> x<-c(1:50)> y<-run if(50, min = 0, max = 10)> par(mar=c(5, 4, 4, 5))> plot.
new()# Creating layout> layout(matrix(c(2, 5, 1, 3),
2, 2,
b y row = TRUE),
c(3, 2), c(2, 3))#
Creating plotting area for 2 and 5> plot(x, y, type='l', col='blue',
l w d=2, x lab = "X label",
y lab = "Y label",
main="Plotting area 2 and 5")> plot(x, y, type='o', col='green', l w d=1.5, x lab = "X label",
y lab = "Y matrix", main="Plotting area 2 and 5")#
Creating plotting area for 1> plot(x, y, type='h', col='red', l w d=1.5, x lab = "X label", y lab = "Y label", main="Plotting area 1")# Creating plotting area for 3> plot(x, y, type='b', col='purple', l w d=1.5, x lab = "X label", y lab = "Y label", main="Plotting area 3")# Creating the red colored box> rect(0.5, 0.5, 2.5, 2.5, border="red", l w d=2, l t y=2).
To produce the above plot layout, firstly, create two vectors "x" and "y" containing 50 random numbers between 0 and 10 using the "run if()" function in R. Then, define the plotting area and margin sizes of the plot using the "par()" function .Next, create a new plot using the "plot .new()" function to clear the graphics window.
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A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
LaTeX: \text{P(x)=25x+100}
LaTeX: \text{P(x)=75x-100}
LaTeX: \text{P(x)=25x-100}
LaTeX: \text{P(x)=75x+100}
Answer:the person below is correct
Step-by-step explanation:
A shirt rack contains 5 striped shirts, 8 solid shirts, and 6 polka dot shirts. How many outcomes are there when
choosing a shirt from the rack?
3
13
ОООО
14
19
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can she pot in 2 1/2 hours?
Step-by-step explanation:
First find how many plants Samantha can plant in half an hour. To figure that out do 12 divided by 3 because in 1.5 hours she can plant 12 plants.
12÷3=4
Samantha can plant 4 plants in half an hour. Since 2.5 hours in 1 more hour than 1.5 hours multiply 4 by 2 to get the total amount she can plant in one hour.
4 x 2 = 8
Samantha can plant 8 plants in an hour. Now add 8 to 12 because 12 plants is 1.5 hours and 8 plants is 1 hour and 1.5 + 1 = 2.5 hours.
8 + 12 = 20.
Samantha can plant 20 plants in 2.5 hours.
An animal shelter houses dogs, cats, and ferrets. There are 144 animals at the shelter. Of the animals, one fourth are dogs. Eight ninths of the remaining animals are cats. How many of the animals are ferrets?
Answer:
12
Step-by-step explanation:
1 - 1/4 = 3/4 (remaining animals which are cats and ferrets)
1 - 8/9 = 1/9 (means 1/9 of the remaining animals are ferrets)
1/9 x 3/4 = 1/12 (means 1/12 of the animals are ferrets)
1/12 x 144 = 12 ferrets
What is the measure of the indicated angle?
180°
6°
84°
96°
Answer:
84°
Step-by-step explanation:
since the opposite side looks identical to the first angle, the second would be the same degrees.
the measure of the indicated angle is 84°
Because they are alternate angles
Question 1
Given the functions f(x) = 2x + 1 and g(x) = 5x +4, find m(x) = f(x) - g(x)?
A
m(x) = 3x + 3
B
m(x) = -3x + 5
С
m(x) = -3x - 3
D
m(x) = 7x + 5
Given :
⊕ f(x) = 2x + 1
⊕ g(x) = 5x + 4
⊕ m(x) = f(x) - g(x)
⇒ m(x) = (2x + 1) - (5x + 4)
⇒ m(x) = 2x + 1 - 5x - 4
⇒ m(x) = -3x - 3
Answer : C
14. Find the area of the shaded region.
Answer:
13.5 cm^2
9*3 = 27
27/2=13.5
Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
The scale factor of dilation from AB to EF is 0.25
How to determine the scale factor of dilation?The given parameters are:
EFJL is dilation of ABIK AB has a length of 12EF has a length of 3From the above parameters, side lengths AB and EF are corresponding sides
This means that:
The scale factor of dilation (k) is
k = AB/EF
So, we have
k = 3/12
Evaluate
k = 0.25
Hence, the scale factor of dilation from AB to EF is 0.25
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solve equations by factoring:4x^2-81=0
We have the equation:
\(4x^2-81=0\)We can see that there is a differnce of squares:
\(4x^2-81=(2x)^2-9^2\)And then we can rewite the difference of squares as:
\((2x)^2-9^2=(2x-9)(2x+9)\)And this is equal to 0:
\((2x-9)(2x+9)=0\)Now, there are two possibilities:
\(\begin{gathered} 2x-9=0 \\ Or_{\colon} \\ 2x+9=0 \end{gathered}\)Then, we need to solve this two equatiions:
\(\begin{gathered} 2x-9=0 \\ x=\frac{9}{2} \end{gathered}\)\(\begin{gathered} 2x+9=0 \\ x=-\frac{9}{2} \end{gathered}\)The two solutions for the equation are:
\(\frac{9}{2}\text{ and}-\frac{9}{2}\)x:y=1:4 which is the write equation
write decimal number for
four and six hundred fourty-seven then thousandths
The decimal number 4.647 combines the whole number 4 with the fractional part 0.647, representing a value slightly greater than 4 and less than 5.
In mathematics, whole numbers refer to a set of numbers that includes all the natural numbers (positive integers) along with zero. Whole numbers are non-negative and do not include fractions, decimals, or negative numbers.
The set of whole numbers is denoted by the symbol W or ℕ₀, and it can be represented as:
W = {0, 1, 2, 3, 4, 5, ...}
Each number in the set of whole numbers is an individual element. Here are some important properties of whole numbers:
Non-Negative: Whole numbers are non-negative, meaning they are greater than or equal to zero. Negative numbers are not included in the set of whole numbers.
Natural Numbers: Whole numbers include all the natural numbers (positive integers). The set of natural numbers is a subset of the set of whole numbers.
Addition and Multiplication: Whole numbers can be added and multiplied together to obtain other whole numbers. The sum and product of two whole numbers will always be a whole number.
To write the decimal number for "four and six hundred forty-seven then thousandths," you would write it as 4.647.
To break it down, the whole number part is 4, indicating four units. The decimal part is 0.647.
In the decimal system, the digits to the right of the decimal point represent fractional parts of a whole.
In this case, the digit 6 represents six tenths, 4 represents four hundredths, and 7 represents seven thousandths.
So, the decimal number 4.647 combines the whole number 4 with the fractional part 0.647, representing a value slightly greater than 4 and less than 5.
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Does anyone knows how to hide history on school Chromebook
Answer:
ctrl + H to go to history and delete the stuff there
or private browsing
ideally you use a vpn like Proton vpn AND use private browsing to hide history
if northwest airlines selects randomly a set of 40 flights on a given day, and then selects randomly a group of ten passengers on each of these flights to participate in an in-flight survey, the passengers are best referred to as a .
The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.
In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.
This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.
In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.
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An adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.
The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.
How many of each type of ticket is sold?
answers
50 adult tickets and 150 children's tickets
30 adult tickets and 90 children's tickets
150 adult tickets and 50 children's tickets
90 adult tickets and 30 children's tickets
The number of each type of ticket is sold is D. 90 adult tickets and 30 children's tickets
What will the number of tickets be?From the information given, an adult ticket for a magic show costs $18. A children's ticket for the magic show costs $12.
The number of adult tickets sold is 3 times the number of children's tickets sold. A total of $1980 is taken in for ticket sales.
Let the number of children tickets = x
Number of adults ticket = 3x
Therefore, this will be illustrated as:
18(3x) + 12(x) = 1980
54x + 12x = 1980
66x = 1980
Divide
x = 1980 / 66
x = 30.
Children ticket = 30
Adult tickets = 30 × 3 = 90
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Which expression is equivalent to (2x² + 6x– 3) - (x^2– 2x – 7)?
2nd one, x^2 + 8x + 4
add 2x^2-x^2, 6x+2x, -3+7
1 Oceanside Bike Rental Shop charges 16 dollars plus 6 dollars an hour for renting a bike. Mike paid 46 dollars to rent a bike. How many hours did he pay to have the bike checked out ?
Let f (x, y) be a continuous function of x and y, which is independent of x, that is, f (x, y) = g(y) for some one-variable function g. Suppose that, .3 10 | g(x)dx = 10 J g(x)dx = 1 and Find f dA, where R is the rectangle 0sx<3,0sys 10 R
A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.
Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:
∫0.3^10 g(x) dx = 1
Using this information, we can find g(y) by integrating g(x) with respect to x:
g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7
Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):
f(x,y) = g(y) = 1 / 9.7
We need to find the integral of f(x,y) over the rectangle R, which is:
∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928
Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.
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Find the 13th term of the geometric sequence 7, -21, 63, ...7,−21,63,...
To find the 13th term of the geometric sequence 7, -21, 63, ..., we need to determine the common ratio of the sequence and then calculate the 13th term using the formula for the nth term of a geometric sequence.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio. To find the common ratio, we can divide any term by its preceding term. In this sequence, dividing any term by its preceding term gives us -3. Therefore, the common ratio is -3.
The formula for the nth term of a geometric sequence is given by:
an = a1 * r^(n-1),
where an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term in the sequence.
Substituting the given values into the formula, we have:
a13 = 7 * (-3)^(13-1) = 7 * (-3)^12.
Calculating this expression, we find that the 13th term of the geometric sequence is -3,834,147.
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The y-intercept of the graph of y=-7x+140y is located at (0, c) What is the value of c ?
The y-intercept of the graph is located at (0, 0). So, the value of c is 0.
What is graph?
A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points, called vertices or nodes, which are connected by lines or curves, called edges or arcs. The vertices represent the variables, while the edges represent the relationship between them.
To find the y-intercept of the graph of y = -7x + 140y, we need to substitute x = 0 into the equation and solve for y. This will give us the y-coordinate of the point where the graph intersects the y-axis.
Substituting x = 0, we get:
y = -7(0) + 140y
y = 140y
Simplifying the equation, we get:
139y = 0
Dividing both sides by 139, we get:
y = 0
Therefore, the y-intercept of the graph is located at (0, 0). So, the value of c is 0.
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Find the value of a and b when x = 10
a =
5x2
2
b=
2x2(x - 5)
10x
help
Answer: x-15=0 is x-15
x-4=0 is x=4
Hope this helps :)
Step-by-step explanation:
Do the following side lengths form a right triangle?
15, 15, 35
Answer:No
Step-by-step explanation:
It does not
Answer:
No
Step-by-step explanation:
given 3 sides of a triangle
using the converse of Pythagoras' identity
if the square of the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 35 and 35² = 1225 , then
15² + 15² = 225 + 225 = 450
since 1225 ≠ 450 then the 3 sides do not form a right triangle.
What is thee answer?
Which side is opposite 0
The value of opposite side of angle θ would be,
⇒ EF
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that,
A right triangle EFD is shown in figure.
And, At angle E, right angle is shown.
We know that;
The Opposite side of a angle is called perpendicular side.
Hence, The value of opposite side of angle θ would be,
⇒ EF
Thus, Option A is true.
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Hey I have some work rate math problems, if anyone can help me solve them id appreciate it.
The owner of a house require that the house be painted in 32 hours (4 work days). Mr. Paint, a painting contractor, would need 40 hours (5 days) to paint the house alone. To make sure the house is painted in 32 hours, Mr. Paint hires an assistant. How long would the assistant need to paint the house alone? ( for question 1,2 & 3)
1- Let x represent the amount of time the assistant would need to paint the house alone. Write an expression that shows the hourly rate at which Mr. Paint and his assistant work together to paint the house.
2- Now write an equation that can be used to determine the rate at which the assistant works.
3- If we know that the assistant works at a rate that would take him 160 hours to finish the job alone, and Mr. Paint receives $40 an hour for the job, how much should he pay his assistant?
4- Now consider a different scenario. A type of swimming pool holds 100 gallons of water. One hose can fill the pool in 12 hours while another takes only 10 hours. How long will it take for the pool to be filled if both hoses are used?
5- Working alone, a landscaper could build a retaining wall in 38 hours, while his apprentice could build the wall in 62 hours. If t represents the number of hours it would take them to build the wall while working together, which equation is correct?
6- Every night after closing, the moat in the hippopotamus exhibit at a zoo is drained and cleaned. The zoo currently has one pipe that can drain the moat in 50 minutes. It is considering installing a second pipe to speed up draining. The table below shows different times that the new pipe might take to drain the moat alone. In each row of the table, fill in the number of minutes it would take for both pipes to drain the pool simultaneously. Round your answers to the nearest tenth of a minute, when necessary.
Answer:
Step-by-step explanation:
1. 1/40 + 1/x
2. 1/32 = 1/40 +1/x
3. $8 per hour
4. about 5.5 hours
5. 1/38 + 1/62 = t/x
6.
1. 16.7
2. 22.2
3. 26.2
4. 29.2
nice pfp
1.Відомо, що 3< x < 8; −2 < у < 6. Оцініть значення виразу:
A) 2x+y;
Б) x-y.
Відповідь B, вибачте, якщо я помиляюся
tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book
The number of pages that are in the book is 1 31/45 pages.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, Tyler reads 2/15 pages on Monday 1/3 on Tuesday and 2/9 on Wednesday and 3/4 on thursday .and has 14 pages left on friday how many pages are in the book.
The fraction for pages will be:
= 2/15 + 2/9 + 1/3 + 3/4 + 1/4
= 2/15 + 5/9 + 1
= 6 / 45 + 25/45 + 1.
= 1 31/45
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Complete question
tyler reades 2/15 pages on monday 1/3 on tuesday and 2/9 on wendsday and 3/4 on thursday .and has 1/4 pages left on friday how many pages are in the book
Let f(x) be a function that is defined for all real numbers. Select EVERY true statement (there may be more than one). If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers cand d in (a,b). If f(x) has a critical point at x = c, then f'(c) = 0. If f(x) has a local minimum value at x = c, then f'(c) = 0. If f'(c) = 0, then f(x) has a local maximum or minimum at x = c. o If f'(c) is undefined, then x = c is a critical point of f(x).
All options are true except option iii)
Given function is f(x) which is defined for all real numbers.
What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:
i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).
ii) If f(x) has a critical point at x=c, then f'(c)=0.
iii) If f(x) has a local minimum value at x=c, then f'(c)=0.
iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.
v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.
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which one ?
it says i need 20 characters so i’m just typing this
2. let x and z be two discrete-valued random variables. suppose e(z|x = x) is a known function of the specific form e(z|x = x) = ax − bx2 with a and b being constants. find e(xz).
To find the expected value of the product xz, we can use the law of total expectation (also known as the law of iterated expectations):
E(xz) = E[E(xz|X)]
where E(xz|X) is the conditional expectation of xz given X = x, which we can find using the formula:
E(xz|X = x) = x * E(z|X = x)
where E(z|X = x) is the conditional expectation of z given X = x, which we can find using the given function:
E(z|X = x) = ax - bx^2
Substituting this into the formula for the conditional expectation of xz, we get:
E(xz|X = x) = x * (ax - bx^2) = ax^2 - bx^3
Now, we can substitute this back into the law of total expectation to get:
E(xz) = E[E(xz|X)] = E[ax^2 - bx^3]
where the inner expectation is taken over the distribution of X, and the outer expectation is taken over the resulting values of the inner expectation.
Since X is a discrete-valued random variable, we can find E(xz) by summing the values of ax^2 - bx^3 weighted by their probabilities:
E(xz) = Σx (ax^2 - bx^3) P(X = x)
where the sum is taken over all possible values of X.
This gives us the expected value of the product xz in terms of the constants a and b and the probability distribution of X.
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can u answer this question! i’ll give brainliest
Answer:
just dont know...
Step-by-step explanation: