Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
Which distributions are unimodal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the centre of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bimodality or any multimodality, boxplots are best reserved for distributions with a single mode.
There is just one peak in a unimodal distribution, two peaks in a bimodal distribution, and three or more peaks in a multimodal distribution. If the data is skewed or symmetric, such information can also be used to characterise the histogram's structure.
Therefore, the correct answer is option b) Unimodal.
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The required correct option for the given question is uni-modal.
Which distributions are uni-modal?The distribution is said to be symmetrical when the box's whiskers are roughly the same on both sides and the median is in the center of the box. The distribution is positively skewed if the whisker is shorter on the lower end of the box and the median is closer to the bottom of the box (skewed right).
Due to the fact that they obscure bi-modality or any multi-modality, box-plots are best reserved for distributions with a single mode.
There is just one peak in a uni-modal distribution, two peaks in a bimodal distribution, and three or more peaks in a multi-modal distribution. If the data is skewed or symmetric, such information can also be used to characterize the histogram's structure.
Therefore, the correct answer is option b) Uni-modal.
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Please Simplify the phrase the first two and find the last one
Answer:
1) 23x + 6y
2) 8x - 4y
3) 4x - x² + 7
Step-by-step explanation:
Simplify:
Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.
5(3x + 6y) + 4 (2x - 6y) = 5*3x + 5*6y + 4*2x - 4*6y
= 15x + 30y + 8x - 24y
Now, combine like terms. Like terms have same variable with same power.
= 15x + 8x + 30y - 24y
= 23x + 6y
2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)
= 12x - 6y - 4x + 2y
= 12x - 4x - 6y + 2y
= 8x - 4y
3) f(x) = 3x + 2
To find f(x +1), replace x with (x +1)
f(x +1) = 3*(x + 1) + 2
= 3*x + 3*1 + 2
= 3x + 3 + 2
=3x + 5
f(2x) = 3*(2x) + 2
= 6x + 2
f(2x) + h(x) = 6x + 2 - x² - 2x + 5
= 6x - 2x - x² +2 + 5
= 4x - x² + 7
If this policyholder causes a huge, serious accident with both bodily injuries and property damage, what is the highest amount their liability coverage will provide?
A. ) $544. 58
B. ) $300,000
C. ) $400,000
D. ) Unlimited amounts, depending on the number of people injured
C). The highest amount their liability coverage will provide is $400,000
This is because most standard liability policies will provide up to $300,000 for bodily injury and $100,000 for property damage, but the policyholder may be able to purchase additional coverage for higher limits if they need it. The exact amount of coverage will depend on the policy the policyholder purchased.
Liability insurance is a component of the general insurance system of risk financing that protects the purchaser from the risks of liabilities imposed by lawsuits and similar claims, as well as the insured if the purchaser is sued for claims covered by the insurance policy.
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Lewis uses a half-cup of lemon juice for
every pitcher of lemonade he makes. If he
starts with a gallon of lemon juice and makes
19 pitchers of lemonade, is it reasonable to
assume he'll have enough juice left to make at
least 9 more pitchers? Explain.
Answer:
Yes
Step-by-step explanation:
there are 16 cups in a gallon. if he uses 1/2 a cup to make 1 pitcher, there would be 32 pitchers made. 19+9 is 28 so the answer is yes.
^^mark brainliest pls:D
help me on this one bro I hate math
The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates from the graph.
(0, 800), (1, 880), (2, 968)
x-coordinate is the number of years and the y-coordinate denotes the Value.
Now,
The initial amount of the investment is when x = 0.
= 800
Now,
Rate of change of the value each year.
=(880 - 800) / (1 - 0)
= $80
Rate of percentage.
= 80/800 x 100
= 10%
Now,
The value of the investment after 12 years.
= 800 + 12 x 80
= 800 + 960
= $1760
Thus,
The initial amount of the investment is $800.
The investment grows at the rate of 10% each year.
The value of the investment after 12 years is $1760.
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What does ∈ mean in math?
This is a symbol in mathematics that represents "to the power of" or "exponent".
It is used to indicate that a number or expression is being multiplied by itself a certain number of times. For example, if the expression 2aˆ3 is written, it means that 2 is being multiplied by itself 3 times, or 2x2x2. In other words, 2aˆ3 = 2x2x2 = 8.
The number to the right of the aˆ symbol is called the "exponent". The number or expression to the left of the aˆ symbol is called the "base". When a number is raised to the power of one, it is equal to itself. Any number to the power of zero is equal to one. The exponent can be a positive, negative, or fractional number.
Exponents are used to simplifying calculations and can be used to represent large numbers in a more concise form.
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The perimeter of a rectangle is 84 feet long. The
length is six more than two times its width. What are
the dimensions of the rectangle? (Hint: P = 2L + 2W)
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given :
Perimeter of rectangle = 84 feet
Thus,
Length is 6 times more than its 2 time width
=> 6L = 2W
=> W = 3L
In the perimeter formula:
=> 3L + 2L =84
=> 5L = 84
=>L = 84/5
=>16.8
and
W = 3L
=> W = 3*16.8
=> W = 50.4
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
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Write two equations that can be solved using the double 7+7
Answer:
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
Given :
Expression - 7 + 7
Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
Neil work a a conultant at a oftware company. The amount of hi annual bonu i baed upon the number of hour he work. B = the amount of Neil' bonu
h = the number of hour Neil work
Which of the variable i independent and which i dependent?
The independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
In this scenario, the amount of Neil's bonus (B) is dependent on the number of hours he works (h). The number of hours he works is the input or independent variable, while the amount of bonus he receives is the output or dependent variable. It can be said that the number of hours he works is the cause and the amount of bonus is the effect.
The equation is B = f(h) where f is the function that relates the two variables.
Thus, the independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).
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Complete Question is-
Neil works as a consultant at a software company and the amount of his annual bonus is based on the number of hours he works, which variable is independent and which is dependent? With B as the amount of Neil's bonus, and h as the number of hours Neil works.
the function f(x)=80(0.5)^ represents the distance after a pendulum begins swinging,where x is the number of swings
It looks like there may be a typo in the function you provided. It appears that you meant to write "f(x) = 80(0.5)^x", which would represent the distance after a pendulum begins swinging, where x is the number of swings.
This function indicates that the distance traveled by the pendulum decreases by half with each swing. For example, after the first swing, the distance traveled would be 80(0.5)^1 = 40 units. After the second swing, the distance traveled would be 80(0.5)^2 = 20 units. And so on.
The exponent x in the function represents the number of swings, so the distance traveled by the pendulum can be calculated by plugging in the desired value of x into the function. For example, to calculate the distance traveled after 10 swings, we can plug in x = 10:
f(10) = 80(0.5)^10 = 0.390625 units
This indicates that the pendulum has traveled a distance of approximately 0.39 units after 10 swings.
How much more rain fell in June than in August? Simplify the answer.
June: 5.75
August: 2.1
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who err not parent’s thought the park should be expanded.
Answer: In this exercise we have to calculate the values of the people who voted to expand the parking lot, so we have to:
Yes: parents will be 150 and not parents 40
No; parents will be 40 and not parents 30
As it is about sets, we have to use the data that were:
total: 250 adults
180 of whom were parents a park should be expanded.
40 of the adults who were not parents thought the park should be expanded.
then calculate that:
Step-by-step explanation:
The surveyed parents favor park extension, and two way table is a way or representation of data. and The two-way table is completed as,
yes no
parents 150 | 30
|
not parents 40 | 30
The two-way table shown in the table is attached below.
What is two way table?
Two-way table is a way of representing of data to better understand it.
Given information-
The total number of adults took the survey is 250.
Total number of parents took the survey is 180.
150 of the adults with children and 40 of those without thought the park should be expanded.
Suppose the number of adults who are not the parents and took the survey is .
As the total number of adults took the survey is 250 in which the number of parents took the survey is 180. Thus the number of adults who are not the parents and took the survey is,
Suppose the parents who does not thing that the park should be expanded is .
There is total 180 parents. As 150 of the adults with children thought the park should be expanded. Thus, the parents who does not thing that the park should be expanded is,
Form the 70 adults who are not parents things that park should be expanded is 40, hence the adults who are not parents does not thing the park should be expanded is (70-40) which is 30.
Hence the two way table is completed as,
yes no
parents 150 | 30
|
not parents 40 | 30
the two way
YES NO
30
30
(parents 150
not parents_40
Punit had 12 tomatoe. He cut each into 6 lice. He ued 4 lice of the 16 andwiche he made. How many lice were remaining?
If Punit had 12 tomatoes. He cut each into 6 lice. He used 4 lice of the 16 sandwiches he made then 68 slices were remaining.
There were 12 tomatoes and each was cut into 6 slices, giving a total of 72 slices. Here we have to multiply 6 with 12
12×6=72
Of these, 4 slices were used to make sandwiches, leaving 68 slices remaining. Here we have to subtract 4 from 72
72-4=68
Therefore, Punit had 68 slices left, or 11.33 tomatoes, after making the sandwiches. This means that Punit had 68 lice of tomato remaining after making the sandwiches.
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What are the 4 quadrants called?
The 4 quadrants are called as Quadrant I, Quadrant II, Quadrant III and Quadrant IV.
The term quadrant in math is also known as the coordinate grid, cartesian coordinate system, or Cartesian plane, are basically constructed by taking a vertical axis, or the y-axis and setting it against a horizontal axis, or the x-axis and it creates a grid with four quadrants.
According to the cartesian system, here the coordinate plane is divided into four equal parts by the intersection of the x-axis and the y-axis such as the vertical number line.
Here the four quadrants are written as,
Quadrant I that is placed upon the upper right quadrant is the first quadrant, denoted as Quadrant I and the value on the x-axis and the y-axis both have positive numbers.
Next one is Quadrant II which is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the y-axis has positive numbers.
Third one is Quadrant III placed on the bottom left quadrant is the third quadrant, denoted as Quadrant III and the value of both the x-axis and the y-axis have negative numbers.
Final one is Quadrant IV which is placed on the bottom right quadrant is the fourth quadrant, denoted as Quadrant IV and here the value of the x-axis has positive numbers and the y-axis has negative numbers.
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What is a algebraic expression for 1,10,19
The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.
The general form of the nth term of an arithmetic sequence is given as:
a(n) = a + (n-1) d
Since, the value of a = 1 and the common difference d =9, the resulting expression is:
a(n) = 1 + (n - 1) 9
Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.
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What is the value of (-1-¹) ÷ (-4)?
A. -1/
T
B. -21
C.
D. 1/1/12
Answer:
D. 1 5/16
Step-by-step explanation:
mark brainliest
I need help pls answer ASAP
The value of x in the triangle WXY is 19 degrees
What is an equation?An equation shows how two or more numbers and variables are related to each other.
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines
Using the above as a guide, we have the following:
∠ZYW = ∠XWY (alternate angles are equal)
∠XWY = 2x (Given)
So, we have
∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)
Substitute the known values in the above equation, so, we have the following representation
2x + (3x - 5) + 90 = 180
Open the brackets and solve
5x - 5 = 90
Evaluate the like terms
5x = 95
Divide both sides by 5
x = 19°
Hence, the value of x is 19°
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Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?
The total number of coins Piper has in her collection is 100 coins.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.
Let, The total number f coins in the box be 'x'.
Therefore, 2% of 'x' is 12 which can be numerically expressed as,
(2/100)×x = 12.
0.02x = 12.
x = 2/0.02.
x = 100.
So, She has 100 coins in her box.
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11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
Answer:
11
Step-by-step explanation:
remember that the absolute value function always gives a positive value, that is
| - a | = | a | = a
substitute the given values into the expression
- a² - 2bc - | c |
= - (- 2)² - 2(3)(- 3) - | - 3 |
= - (4) - 2(- 9) - | 3 |
= - 4 + 18 - 3
= 14 - 3
= 11
The lengths of two sides of a triangle are 33 units and 42 units. The third side also has an integral length. What is the least possible number of units in the perimeter of the triangle
The least possible unit of the perimeter of the triangle will be 85 units.
In order for the three sides of a triangle to fit together, any two sides' differences must be bigger than the length of the third side.
Draw some triangles on a piece of paper and try to accept that this is the case.
So, by properties of triangle = 42 - 33 = 9
The third side must be greater than 9 units.
Given that it is an integer, 10 must be the minimum possible value.
The perimeter is the sum of all sides.
So our least possible perimeter will be 42 + 33 + 10 = 85 units.
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The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
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5x - 7 = 5 - x
Using balancing method in algebra
Answer:
5x-7-5+X=5-x-5+X
or,6x-12=0
or,6x=12
or,X=12/6
:.X=2
At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?
Condos in Georgetown go up in value by 10% each year. If the Sutton family's condo is now worth $120,000, what will it be worth in 8 years? If necessary, round your answer to the nearest cent.
The Sutton family's condo's worth in 8 years will be $216000.
What is exponential function?An exponential function is a mathematical function in the form f(x) = aˣ, where {x} is a variable and {a} is a constant which is called the base.
Given is that Condos in Georgetown go up in value by 10% each year. Sutton family's condo's current worth is $120,000.
We can write the function to calculate the worth after {T} years as follows.
A{T, R} = A{i} {1 + RT}
A{T, R} = {120000} {1 + (10/100) x 8}
A{T, R} = {120000} {1 + 0.1 x 8}
A{T, R} = {120000} {1 + 0.8}
A{T, R} = {120000 x 1.8}
A{T, R} = 216000
Therefore, the Sutton family's condo's worth in 8 years will be $216000.
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What is the relationship between the line of reflection and the segments connecting the corresponding points?
The relationship between the line of reflection and the segments connecting the corresponding points is perpendicular bisector.
Here we have to find the relationship between the line of reflection and the segments connecting the corresponding points
In order to find the relationship we must know what is meant by line of reflection.
The term line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image.
As per the definition of the term we have identified that the relationship between these two element is perpendicular to the segment and bisects it. Because the line of reflection is the perpendicular bisector of the segment joining corresponding points of the preimage and image.
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`y=7/(1,000)-(9x)/8` is this proportional or nonproportional
Is gram equal to mole?
No, 1 gram is not equal to 1 mole. The numerical values of mole and gram are different for an object.
What is 1 gram?
Avogadro number of atoms makes up one mole. It is possible to convert a mole into grams if you know the mole quantity.
Mole: The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.02214076×10²³ elementary entities.
The relation between gram and mole is
1 gram = Mole × atomic weight.
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The diagram shows two proportional right triangles.
What is the perimeter of the larger triangle?
Answer:
48 units.
Step-by-step explanation:
Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.
The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.
24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.
Hope you could understand this,
The length of a rectangular frame is 15 inches in the diagonal length of the frame is 17 inches what is the width of the frame in inches
The width of the frame is 8 inches.
Now, According to the question:
The length of a rectangular frame is 15 inches
The diagonal length of the frame is 17 inches.
To find the width of the frame in inches.
Let's take the width of the frame is = w
Based on the information given, it should be noted that the diagonal will be the longest side. Therefore, we'll use the Pythagoras theorem to solve the question.
This will be:
17² = 15² + w²
289 = 225 + w²
289 - 225 = w²
64 = w²
w = [tex]\sqrt{64}[/tex]
w = 8
Hence, The width of the frame is 8 inches.
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(6b+ 2) - (4b + 3)
Help pls I don’t know how to do this
Answer:
2b - 1
Step-by-step explanation:
To solve this problem, we will need to open the parentheses. To do this, we will put an imaginary 1 in front of both sets of parentheses to open them using the distributive property, this gives us:
1(6b + 2) - 1(4b + 3)
We will open the first set of parentheses with no problem, but in the second set, we have -1, so we need to make every positive number negative and every negative number positive, giving us:
6b + 2 - 4b - 3
Then, we group our like terms:
6b - 4b + 2 - 3
Then, we subtract, giving us:
2b - 1
So the most simplified version is 2b - 1.
Hope this helped!
Answer:
Step-by-step explanation:
You begin by distributing the negative so -4b -3
then you will multiply (6b+2) by (-4b -3)
24b^2 - 18b - 8b - 6
answer = 24b^2 - 26b - 6
11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00
$164.86 more is needed to reach the goal of $1,200.00.
First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:
$1,200.00 * 50% = $600.00
Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:
$600.00 * 1/3 = $200.00
Now we can add up the amount raised by all three classes to see how much has been raised in total:
$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14
Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:
$1,200.00 - $1,035.14 = $164.86
So $164.86 more is needed to reach the goal of $1,200.00.
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