The ith observation in the data set is represented by the number xi. The sample's average value is. V stands for variation. All of the values in a data set are added up to form x.
Do standard deviation and standard variance equate to one another?Variance, as opposed to range and interquartile range, is a measure of dispersion that considers the spread of each data point within a data collection. In addition to the standard deviation, which is just the variance's square root, it is the measure of dispersion that is most frequently employed.Symbols,It is common to use the formula x = the mean, or average, of all the data points in the problem to represent standard deviation and variance. A single data point is denoted by X.The ith observation in the data set is represented by the number xi. The sample's average value is. V stands for variation. All of the values in a data set are added up to form x.To learn more about stands for variation refer to:
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two symmetric dice have had two of their sides painted red, two painted black, one painted yellow, and the other painted white. when this pair of dice is rolled, what is the probability that both dice land with the same color face up
The probability that both dice land with the same color face up is 4/6 = 2/3
To find the probability
The probability that both dice land with the same color face up is 1/6.
There are 6 possible outcomes when rolling two dice:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upOne die lands with a red side up and the other with a black side upOne die lands with a yellow side up and the other with a white side upOut of these 6 possible outcomes, only 4 of them result in both dice landing with the same color face up:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upSo, the probability that both dice land with the same color face up is 4/6 = 2/3.
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The probability that both dice land with the same color face up is 4/6 = 2/3
The probability that both dice land with the same color face up is 1/6.
There are 6 possible outcomes when rolling two dice:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upOne die lands with a red side up and the other with a black side upOne die lands with a yellow side up and the other with a white side upOut of these 6 possible outcomes, only 4 of them result in both dice landing with the same color face up:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upSo, the probability that both dice land with the same color face up is 4/6 = 2/3.
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what point on the line 3x-y=4 is closest to (-2,3) symnolab
Point on the line 3x-y=4 is closest to (-2,3) are:
(19/10, 51/30)
Now, According to the question:
The equation for the line in slope-intercept form:
y=3x - 4
The slope of this line is m = 3.
A line perpendicular to this line passing through point A(-2,3) has a slope m= -1/3.
The y-intercept for this perpendicular line [go down 2/3 and over 2 from A(-2,3) which is calculated from the slope to get to x-0] is
(-2,3) + (2,-2/3) = (0, [tex]2\frac{1}{3}[/tex] ), so b = 2 1/3.
The equation for this perpendicular line is
y=(-1/3)x + [tex]2\frac{1}{3}[/tex] or
x+3y=7
Solving the system of two linear equations with two unknows substituting y=3x-4 into this equation:
x+3(3x-4)=7
Solve for x:
10x-12=7
x=19/10
19/10 + 3y = 7
30y=70-19
y = 51/30
Hence, Point on the line 3x-y=4 is closest to (-2,3) are:(19/10, 51/30)
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What reasons are there to make implied premises explicit?
Making implied premises explicit is important for ensuring clarity, transparency, evidence-based arguments, logical rigor, better communication, and improved decision making
There are several reasons to make implied premises explicit:
Clarity: Implied premises can sometimes be ambiguous or unclear. Making them explicit can help to avoid confusion and ensure that all parties involved understand the argument.
Transparency: Implied premises can hide the underlying assumptions of an argument. Making them explicit can increase the transparency of the argument and allow for greater scrutiny of its validity.
Evidence: Implied premises are often based on unstated assumptions or beliefs. Making them explicit can allow for the introduction of evidence to support or challenge these assumptions.
Logical rigor: Implied premises can make an argument appear stronger than it actually is. By making them explicit, the argument can be evaluated more rigorously and any weaknesses or gaps can be identified.
Better communication: Implied premises can be difficult to detect, especially in complex arguments. By making them explicit, the argument becomes easier to follow and understand, facilitating better communication between the parties involved.
Improved decision making: When the premises of an argument are made explicit, it becomes easier to weigh the pros and cons and make informed decisions based on the evidence presented.
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A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.
x > 0 and y > 0
0 < x ≤ 200 and y > 400
0 < x and y < 200
0 < x ≤ 200 and 0 < y ≤ 400
The constraints to represent the incoming students at the college, 0 < x ≤ 200 and 0 < y ≤ 400. So Option D is correct.
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
A college is currently accepting students that are both in-state and out-of-state
They are accepting two times as many in-state students as out-of-state
They can accept only 200 out-of-state students
Suppose,
the number of in-state students = y
the number of out-of-state students = x
According to given condition,
y = 2x
They can accept only 200 out-of-state students,
So, 0 < x ≤ 200
They plan to accept two times as many in-state students as out-of-state,
So, 0 < y ≤ 400
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how could you change your analysis to increase your confidence in the relationships shown in the tree?
Increase sample size, use diverse data, add variables, use cross-validation, perform hypothesis testing to increase confidence in relationships in tree.
What is analysis ?
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it.
To increase the confidence in the relationships shown in the tree, one could consider the following changes to the analysis:
Increasing the sample size: A larger sample size can lead to a more robust tree and increase the confidence in the relationships shown.
Using more diverse data: Using data from different sources, different time periods, or different populations can increase the generalizability of the tree and make the relationships more robust.
Incorporating additional variables: Adding relevant variables that may influence the relationships can improve the accuracy of the tree.
Using cross-validation: Dividing the data into multiple parts and evaluating the tree on each part can provide an estimate of the stability of the relationships and increase confidence in the tree.
Performing hypothesis testing: Performing hypothesis tests on the relationships in the tree can provide statistical evidence for their validity and increase confidence in the relationships shown.
Increase sample size, use diverse data, add variables, use cross-validation, perform hypothesis testing to increase confidence in relationships in tree.
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Increase sample size, use diverse data, add variables, use cross-validation, perform hypothesis testing to increase confidence in relationships in tree.
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it.
To increase the confidence in the relationships shown in the tree, one could consider the following changes to the analysis:
Increasing the sample size: A larger sample size can lead to a more robust tree and increase the confidence in the relationships shown.
Using more diverse data: Using data from different sources, different time periods, or different populations can increase the generalizability of the tree and make the relationships more robust.
Incorporating additional variables: Adding relevant variables that may influence the relationships can improve the accuracy of the tree.
Using cross-validation: Dividing the data into multiple parts and evaluating the tree on each part can provide an estimate of the stability of the relationships and increase confidence in the tree.
Performing hypothesis testing: Performing hypothesis tests on the relationships in the tree can provide statistical evidence for their validity and increase confidence in the relationships shown.
Increase sample size, use diverse data, add variables, use cross-validation, perform hypothesis testing to increase confidence in relationships in tree.
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A=(2,4,6,8,10)
B=(3,6,9,12,15,18)
R=(A x B: /Y=3x)
On solving the provided question, we cans say that sets provided are R = (AXB) => AXB = (2,4,6,8,10) X (3,6,9,12,15,18) = (2,3,4,6,7,8,10,12,15,18)
What is sets?A collection of several objects is represented mathematically as a set. Any form of mathematical object can be one of the elements or terms in a set. such as variables, other values, points in space, lines, other geometric forms, and symbols. In mathematics, a set is a logically arranged group of things that may be represented by a list or set builder. Curly brackets are typically used to denote sets. An illustration of a set is A = 1, 2, 3, 4. Among the various types of sets are empty sets, finite sets, equivalence sets, equivalence subsets, universal sets, supersets, and infinite sets.
sets provided are
A=(2,4,6,8,10)
B=(3,6,9,12,15,18)
R = (AXB)
AXB = (2,4,6,8,10) X (3,6,9,12,15,18) = (2,3,4,6,7,8,10,12,15,18)
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identify each item as independent or dependent : Weight of salmon; cost of salmon
The Cost of the Salmon will be a dependent variable of weight and its weight will be the independent variable.
What is an Independent or dependent identification?In contrast to dependent items, which cannot exist alone and are dependent on independent items, independent items may exist independently and can be uniquely recognized using the criteria qualities. Relationship refers to the interdependence of an independent and dependent object.
Given two items, the Weight of salmon; the cost of salmon
The difference between the given variables is as follows:
While the independent variable is seen to be the cause, the dependent variable is thought to be the effect.Independent variables are the predictors or regressors, whereas dependent variables are sometimes referred to as predicted variables.Contrary to dependent variables, which need sophisticated mathematical techniques and observations, independent variables can be derived via longitudinal study or by solving difficult mathematical equations.On the graph, independent variables are positioned horizontally, while dependent variables are positioned vertically.The independent variable is unaffected by any change in the dependent variable, yet the dependent variable is also impacted by changes to the independent variable.Since Salmon is a food fish,
its weight will be the independent variable.
And since, Fish sells per kilo.
Thus,
The Cost of the Salmon will be a dependent variable of weight.
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use dimension analysis, construct a quantity using g, c, and h, that has the dimension of time.
Let Q=k[tex]g^{x} h^{y} c^{z}[/tex] where x,y,z are the dimensions and k is dimensionless constant. It will give the Planck's length.
This length is the Planck length, and it is 1.6 x 10-35 meters. Writing the dimensions in Q, we will get the following expression :
[M0L1T0]=(M−1L3T−2)x(ML2T−1)y(LT−1)z = M−x+yL3x+2y+zT−2x−y−z
Applying the principle of homogeneity of dimensions, we get
−x+y=0∴y=x. iii
3x+2y+z=1 iv
−2x−y−z=0
Add (iii) & (iv) x+y=1 or x+x ,x=1/2
From Q, y=x=12
From (iv) z=−2x−y=−2(12)−12=−32
Put in (i) Q=kG1/2h1/2c−3/20
Q=kGhc^3
Taking k=1 and putting the standard values : G=6.67×10^−11 SI units.
h=6.63×10^−34-sec
c=3×10^8m/s , we get
Q≅ [tex]10^{-35}[/tex] m
This length is called Planck's length.
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Pls help with this pleaee
Answer:
bjrjrjrjrjjrjrkjrjrjrjrjfjfj
Step-by-step explanation:
nbgnntntnthththththt
Find the value needed for the "?" to make the equation true.
(m^4n^3)^? = 1
Answer: ?=__
The question mark should be replaced with 0 to find the desired answer as 1.
As per the rule of exponents, we know that exponent as 0 to any equation will yield the result 1. Thus, the question mark if replaced by zero will give the desired result.
Before writing the expression, let's understand base and exponent. So, base is the number that has to be multiplied by itself according to the exponent. Exponent is the number that determines the number of times base has to be multiplied.
Now, rewriting the exponents -
([tex] {m}^{4} [/tex]×n³)⁰ = 1
The overall expression on Left Hand Side has the exponent 0, so complete equation will be 1.
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a woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft away, then moving so that his eyes are in the line of sight along the tops of the trees and measuring how far he is standing from the small tree (see the figure). suppose the small tree is 20 ft tall, the man is 25 ft from the small tree, and his eye level is 5 ft above the ground. how tall is the taller tree?
The total height of the taller tree is 95ft.
Explain the similar triangle?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.Similar triangles are those that feature two triangles that differ in size but have the same angles. The scale factor of similar triangles refers to how they have the same ratio on their corresponding sides.The three triangle similarity theorems, Side-Angle-Side (SAS), Angle-Angle (AA), and Side-Side-Side (SSS), can also be used to compare two triangles.Given data :
To find the height of the taller tree:
Ratio of base to base = Ratio of height to height
= dws / dws + dwt = hs / ht
= 25 / 25 + 125 = 15 / ht
25 / 150 = 15 / ht
25ht = 15 x 150
25ht = 2250
ht = 2250 / 25
ht = 90
Height of the taller tree above the eye level is 90 ft
To find the total height of the taller tree:
ht + 5 = 90 + 5 = 95
Hence, the total height of the taller tree is 95ft.
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The 39 00 to the nearest 10 000
Determine which of the following transformations are linear transformations A. The transformation T defined by TOr1,r2 (4r1 -2r2,3 r2 M B. The transformation T defined by T (T1, a2) (2a1 3r2,ar1 4, 5a2) C. The transformation T defined by T(a1,ra, ra) (a 1,0, 3) D. The transformation T defined by T (T1,T2, T3 (1,r2, 3) E. The transformation T defined by T(r1,r2, a3) T1, a2, ra)
The options (A), (D), and (E) are the linear transformations
A transformation is a mathematical operation that takes an input and maps it to an output. A linear transformation preserves the properties of vector addition and scalar multiplication.
In other words, if T is a linear transformation and v and w are vectors, then T(v + w) = T(v) + T(w) and T(cv) = cT(v).
For the transformations given in the question:
A. The transformation T defined by T(r1,r2) = (4r1 - 2r2, 3r2) is a linear transformation.
B. The transformation T defined by T(r1, r2) = (2r1 + 3r2, ar1 + 4, 5r2) is not a linear transformation, as the addition property is not preserved.
C. The transformation T defined by T(r1, r2) = (r1, 0, 3) is not a linear transformation, as the scalar multiplication property is not preserved.
D. The transformation T defined by T(r1, r2, r3) = (1, r2, 3) is a linear transformation.
E. The transformation T defined by T(r1, r2, r3) = (r1, r2, r3) is a linear transformation.
Here we have to note that r1, r2, r3 are scalar values.
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Each of thee equation repreent the ame function written in different form. Standard Form: f(x)=x2−10x24
Factored Form: f(x)=(x−4)(x−6)
Vertex Form: f(x)=(x−5)2−1
The zero of a function are the value of x for which the function i equal to zero. Which form of the equation make it eaiet to ee the zero of the function?
The factored form makes it easiest to see the zeros of the function, as they correspond to the roots (x-intercepts) of the equation. In this form, the zeros are x=4 and x=6.
Form for Function ZerosTo find the zeros of a function from its factored form:Set each factor equal to zero:(x-4) = 0 or (x-6) = 0
Solve for x:x = 4 or x = 6
These values correspond to the x-intercepts, or zeros, of the function.
The zeros of a function are the values of x where the function intersects the x-axis, or where the value of the function is equal to zero. In a factored form, each factor is equal to zero at specific values of x. These values correspond to the x-intercepts of the function, which are the zeros.
By setting each factor equal to zero and solving for x, we find the x-intercepts of the function, which are the zeros. This is why the factored form makes it easiest to see the zeros of a function.
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Murphy charges a $15 service fee and $10 per hour to rake leaves in a yard. The equation y=5x+25 represents the amount Nicki charges in dollars for x hours of leaf raking per yard. Which statement is true?
All the correct statements are,
''Murphy charges $10 more than Nicki to rake leaves in a yard for 4 hours.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Murphy charges a $15 service fee and $10 per hour to rake leaves in a yard.
And, The equation y = 5x+25 represents the amount Nicki charges in dollars for x hours of leaf raking per yard.
Now, The equation to represents the amount Murphy charges in dollars for x hours of leaf raking per yard is,
⇒ y = 10x + 15
And, The equation represents the amount Nicki charges in dollars for x hours of leaf raking per yard is,
⇒ y = 5x + 25
Now, For 2 hours;
The amount Murphy charges in dollars for 2 hours of leaf raking per yard is,
⇒ y = 10x + 15
⇒ y = 10×2 + 15
⇒ y = 20 + 15
⇒ y = $35
And, the amount Nicki charges in dollars for 2 hours of leaf raking per yard is,
⇒ y = 5x + 25
⇒ y = 5×2 + 25
⇒ y = 10 + 25
⇒ y = 35
Thus, Nicki charges is equal to the Murphy to rake leaves in a yard for 2 hours.
Now, For 4 hours;
The amount Murphy charges in dollars for 4 hours of leaf raking per yard is,
⇒ y = 10x + 15
⇒ y = 10×4 + 15
⇒ y = 40 + 15
⇒ y = $55
And, the amount Nicki charges in dollars for 4 hours of leaf raking per yard is,
⇒ y = 5x + 25
⇒ y = 5×4 + 25
⇒ y = 20 + 25
⇒ y = 45
Thus, Murphy charges $10 more than Nicki to rake leaves in a yard for 4 hours.
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The complete question is this,
Murphy charges a $15 service fee and $10 per hour to rake leaves in a yard. The equation y = 5x + 25 represents the amount Nicki charges in dollars for 2 hours of leaf raking per yard. Which statement is true?
1) Nicki charges $10 more than Murphy to rake leaves in a yard for 2 hours.
2) Murphy charges $10 more than Nicki to rake leaves in a yard for 4 hours.
3) Nicki always charges more per yard than Murphy, regardless of how many hours it takes.
4) Murphy always charges more per yard than Nicki, regardless of how many hours it takes.
The area of a kitchen is 182 square feet. This is 20% of the area of the first floor of the house. Let f represent the area of the first floor. Write an equation to represent the situation.
An equation to represent the situation of the area of the first floor of the house is 182 = F * 20%.
Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown number using letters like x, y, and z. These letters are referred to here as variables. In an algebraic expression, both constants and variables can be employed. Any amount that is placed before a variable and then multiplied by it is referred to as a coefficient.
The given parameters are:
Area of kitchen = 182 square ft.
Area of first floor = 20% that of the total area of house
Area of 1st floor,
So, we have:
Area of kitchen = F * 20%
This gives
182 = F * 20%
Hence, the area of the first floor an equation to represent the situation is 182 = F * 20%
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a local pizza restaurant delivery time has a uniform distribution over 10 to 75 minutes. what is the probability that the pizza delivery time is more than 45 minutes on a given day? answer: (round to four decimal places.)
The probability that the pizza delivery time is more than 45 minutes on a given day is 0.4615..
To calculate the probability, we need to find the area under the uniform distribution curve from 45 minutes to the maximum delivery time of 75 minutes.
The formula for a uniform distribution is:
f(x) = 1/(b-a)
where a is the minimum delivery time of 10 minutes and b is the maximum delivery time of 75 minutes.
The probability of a delivery time being greater than 45 minutes is:
P(X > 45) = 1 - P(X ≤ 45) = 1 - (45 - 10)/(75 - 10) = 1 - (35/65) = 1 - 0.53846 = 0.46154
Round off to four decimal places.
P(X > 45) = 0.4615
So the probability that the pizza delivery time is more than 45 minutes on a given day is 0.4615.
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The temperature is 8 drops 6 per hour what is the temperature at the end of three hours
Answer: -10 degrees
Step-by-step explanation:
If it drops 6 degrees per hour, then we can use multiplication to see how much it will have dropped after 3 hours:
6 degrees * 3 hours = 18 degrees
If the temperature is 8 degrees, and it drops 18 degrees, we will subtract:
8 degrees - 18 degrees = -10 degrees
Answer:
26 degrees.
Step-by-step explanation:
The temperature will increase by 6 degrees per hour for three hours, so the final temperature after three hours will be:
[tex]\sf:\implies{8 + 6 \times 3 = 8 + 18 = 26 }[/tex]
Therefore, the temperature at the end of three hours is 26 degrees.
i need helppppp ppp pp
The scale factor is given as follows:
1/4.
The ratio of their areas is given as follows:
1/16.
The ratio of their perimeters is given as follows:
1/4.
The ratio of the corresponding side lengths is given as follows:
1/4.
Hence the different question has the answer given as follows:
1/16.
The same question has the answer given as follows:
1/4.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The scale factor for this problem is defined as follows:
k = 3/12
k = 1/4.
As the area in measured in units squared, the ratio is given as follows:
(1/4)² = 1/16.
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What are the view of different uitor who are concerned with the caket incident? what do you think after the view and remark
According to the comments and opinions of many people involved in the coffin incident, fate is all-knowing and controls every action a person takes. When they choose, they have the wisdom and wit to lose, as Portia correctly observes.
What does Portia think of all of her potential lovers?Portia's witty and entertaining descriptions of her suitors demonstrate that she has not been impressed by any of them. According to her father's will, Portia's future husbands must successfully perform a mission. Three caskets are available for the men to select from: one is made of gold, one of silver, and one of lead. The Prince of Morocco, the Prince of Arragon, and Bassanio are the three suitors that Shakespeare emphasises for Portia. As these three men are the most significant contenders for Portia's hand in marriage, he does this to increase the dramatic tension.The correct coffin is made of lead, and it forewarns the buyer that he must sacrifice and take a chance with everything he has.To learn more about potential lovers, refer to:
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graph and solve 10c+5≤45
Answer: c ≤ 4, graph is attached.
Step-by-step explanation:
To solve, we will isolate the variable.
Given:
10c + 5 ≤ 45
Subtract 5 from both sides of the equation:
10c ≤ 40
Divide both sides of the equation by 10:
c ≤ 4
Next, since the symbol is less than or equal to, we will have a closed circle. Next, it's less than, so our graph will represent all numbers less than 4.
How many kg in 225 pounds?
Answer:
102.27
Step-by-step explanation:
225/2.2 =102.27kg
225 pounds is a 102.058 kg. Actually, 100 kg is 225:) I think that figures ranging from 8 to 20 reps are extremely amazing.
How are kilograms and pounds changed?We convert one kilogram (kg) to 2.2 pounds (lb), which is a rough conversion. In order to convert a kilogram to a pound, multiply by 2.2. We can convert a pound to a kilogram by dividing by 2.2.The pounds must be multiplied by 2.2046 to create the standard equation. To convert 50 pounds to kilograms, for instance, multiply 50 by 2.2046; the result is 22.67985 kg. When 200 pounds are divided by 2.2046, it equals 90.71940 kilos.The need to convert between kilograms and pounds commonly arises in the domains of math and engineering; thankfully, the procedure is straightforward.A person who can bench 225 pounds is considered highly impressive by most people because doing so is the equivalent of simultaneously lifting a washing machine and a watermelon. In addition, it weighs nearly ten times as much as a water cooler.To learn more about pounds, refer to:
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The perimeter of a rectangle plot of the land whoe length i(2x5)m and width (x-10) m i 80 m. Find the value of x and the area of the plot and the cot of weeding the plot at GHC0. 24 per m2
Rectangle is the name given to a parallelogram whose neighboring sides are perpendicular to one another. Weeding the rectangle area will cost 0.0042 GHCO.
What is meant by rectangle?Four sides, four corners, and four 90° right angles make up the closed, 2-D shape of a rectangle. A rectangle has parallel, equal sides on either side. Rectangles are two-dimensional shapes, and as such, they have length and breadth as their defining characteristics.The parallel sides of a rectangle are equal to one another, and each of its four vertices is 90 degrees, making it a form of quadrilateral. As a result, it is sometimes referred to as an equiangular quadrilateral. The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.A. The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,
Perimeter of the rectangle = 2(L+W)
80 = 2[(2x+5)+(x-10)]
80/2 = 2x+5+x-10
40 = 3x -5
40+5 = 3x
x = 15
Hence, the value of x is 15.
B. The rectangle's length is (2x+5) = 2(15)+5 = 35 cm or 0.35 meters.
The rectangle's width is (x-10) = 15-10 = 5 cm = 0.05 m.
The rectangle's area is now LB = 0.35 m 0.05 m = 0.0175 m2.
C. Given that weeding 1 m2 costs 0.24, the price to weed the rectangular area is
Cost is 0.0175 x 0.24 x 0.0042 GHCO.
The price to weed the rectangular plot is therefore 0.0042 GHCO.
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Which of the following definite integrals is equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n)limn→[infinity]∑k=1n10kn(1+5kn)(5n) ?∫6110x√ⅆx∫1610xⅆxthe integral from, 1 to 6, of, 10 times, the square root of x, end root, d xA∫612xx√ⅆx∫162xxⅆxthe integral from, 1 to 6, of, 2 x times, the square root of x, end root, d xB∫50101+x−−−−−√ⅆx∫05101+xⅆxthe integral from, 0 to 5, of, 10 times, the square root of 1 plus x, end root, d xC∫502x1+x−−−−−√ⅆx
The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.
What is integral ?
An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.
to find the definite integral from a given interval that is equal to the limit of a summation as n approaches infinity. The limit of the summation is expressed as the product of 10, the summation of a term k that ranges from 1 to n, and a fraction involving the square root of 1 plus 5k times n.
To determine the definite integral that is equal to this limit, we need to identify the integrand, the interval of integration, and the constant factor of 10. By comparing the integrand, interval, and constant factor to the different definite integrals listed in the answer choices, identify the correct answer.
The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.
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Let T(x, y) = (x + 2, y + 5) and S(x, y) = (x + 2, y – 3). Graph the transformation S(T(ABC ))
where A (1, 2), B (2, 7), and C (4, 1).
The graph is attached in the solution and the vertices of Δ ABC after transformation, are (3, 4), (6, 9) and (8, 3)
What is transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, T(x, y) = (x + 2, y + 5) and S(x, y) = (x + 2, y – 3). we need to find vertices of Δ ABC after transformation, where A (1, 2), B (2, 7), and C (4, 1).
S(T(A)) = (1+2+2, 2-3+5) = (3, 4)
S(T(B)) = (2+2+2, 7-3+5) = (6, 9)
S(T(C) = (4+2+2, 1-3+5) = (8, 3)
Hence, the graph is attached in the solution and the vertices of Δ ABC after transformation, are (3, 4), (6, 9) and (8, 3)
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How do you find the linear combination of matrices?
By multiplying matrices by scalars and combining the results, linear combinations can be created.
What are matrices ?
The word "matrix" can be used to refer to a rectangular array or table with numbers or other components arranged in rows and columns. Any number of columns and rows are allowed. Matrix operations include addition, multiplication, transposition, scalar multiplication, and many others.
In mathematics, a linear combination is any expression of the form axe + by, where a and b are constants, that is created from a set of terms by multiplying each term by a constant and adding the results. For example, a linear combination of x and y would be any expression of this kind.
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What is Fixed Ratio Reinforcement?
Answer:
Fixed ratio is a schedule of reinforcement
Step-by-step explanation:
Alma, a cancer patient is prescribed by her doctor with 13. 00g of intravenous
ascorbic acid (C6H1206) to fight cancer cells. How many moles of ascorbic acid is her
total intake in a month?
Alma's total intake in a month is 0.0738 mol.
What is weight ?
the weight of an object is the force acting on the object due to gravity. Some standard textbooks define weight as a vector quantity, the gravitational force acting on the object. Others define weight as a scalar quantity, the magnitude of the gravitational force.
To calculate the number of moles of ascorbic acid, we need to know its molecular weight. The molecular weight of ascorbic acid (C6H12O6) is approximately 176 g/mol.
Therefore, 13.00 g of ascorbic acid is equal to 13.00 g / 176 g/mol = 0.0738 mol.
So, Alma's total intake in a month is 0.0738 mol.
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The total intake of ascorbic acid in her in a month is 0.0738 mol prescribed by her doctor.
A thing's weight is the amount of force that gravity applies to it. In many widely used textbooks, the term "weight" refers to the gravitational force acting on the object. Weight is sometimes referred to as a scalar quantity that gauges the strength of the gravitational pull.
To calculate the number of moles, we need to know the ascorbic acid's molecular weight. The molecular weight of ascorbic acid (C6H12O6) is about 176 g/mol.
This indicates that 13.00 g of ascorbic acid divided by 176 g/mol equals 0.0738 mol of ascorbic acid.
Therefore, Alma's total monthly intake is 0.0738 mol.
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On a cold winter day in
Poston, MA the
temperature
fell 27 degrees over the
course of 9 hours. Pased on
this change in temperature,
how many degrees did the
temperature fall each hour?
Answer:
3 Degrees per hour
Step-by-step explanation:
27 divided by 9 = 3
summarize the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
Answer:
50 / 122
Step-by-step explanation:
let
female left handed students = x
female right handed students = 5x
male left handed students = y
male right handed students = 9y
according to the question,
x + y = 18 (1)
9y + 5x = 122 (2)
from eq. (1)
x = 18 - y
substituting the value of x in eq. (2)
9y + 5(18 - y) = 122
9y + 90 - 5y = 122
4y = 32
thus, y = 8
x = 10
the probability of selecting a female right handed student at random is:
50 / 122