Analyzing a distribution's form and the placements of its mean, median, and mode in relation to one another can reveal its symmetry.
Therefore by analyzing a distribution's form and the placements of its mean, median, and mode in relation to one another can reveal its symmetry. The following techniques can be used to determine a distribution's symmetry: Examining a distribution's histogram, box plot, or probability density function visually is one technique to identify a distribution's symmetry. If the distribution's shape appears to be symmetrical, it probably is. The subjective nature of this approach means that it might not give an accurate indication of symmetry.
Skewness is a measurement of a distribution's asymmetry. It may be calculated manually or with the aid of statistical tools. Examining a distribution's histogram, box plot, or probability density function visually is one technique to identify a distribution's symmetry. If the distribution's shape appears to be symmetrical, it probably is. Skewness is zero for a symmetric distribution. When the skewness is positive, the distribution is skewed to.
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There are 51 runners in a race. how many ways can the runner finish first, second and third
Answer: 124950
Step-by-step explanation:
So, let’s look at this logically. For first place, you can any one of the 51 runners finish there. For 2nd place, you can have any one of the remaining 50 runners finish there. For 3rd place, you can have any one of the 49 runners who haven’t finished finish there. runners who haven’t finished finish doesn’t matter .So, you take all of the possibilities, and times them together, 51*50*40 different possibilities.Now, if you want a generic equation, you can run it through this equation, x being the number of possibilities, and n being the number of ones your choosing:
(51!)/(51-3)!
An ordered pair equation, do you know (x,y)?
Answer:An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
Explain what each point on theâ least-squares regression line represents. Choose the correct answer below.A. Each point on theâ least-squares regression line represents theâ y-value of the data set at that corresponding value of x.B. Each point on theâ least-squares regression line represents theâ y-values that would be considered ideal at that corresponding value of x.C. Each point on theâ least-squares regression line represents the predictedâ y-value at the corresponding value of x.D. Each point on theâ least-squares regression line represents one of the points in the data set.
Each point on the least-squares regression line represents a predicted y-value at a given x-value, based on the relationship between the two variables determined through regression analysis.
Regression is a statistical method used to analyze and understand the relationship between two variables. The least-squares regression line is a line of best fit that helps predict the value of one variable based on the value of another.
The correct answer is C, each point on the least-squares regression line represents the predicted y-value at the corresponding value of x.
The line is created by minimizing the sum of the squared differences between the actual y-values and the predicted y-values.
In other words, the line is chosen such that the average difference between the actual and predicted y-values is as small as possible.
Mathematically, the regression line is represented by an equation of the form
=> y = b0 + b1x,
where b0 and b1 are coefficients determined by minimizing the sum of squared residuals.
The predicted y-value for a given x can then be found by plugging in the x-value into the equation.
Complete Question:
Explain what each point on the least-squares regression line represents.\
Choose the correct answer below.
A. Each point on the least-squares regression line represents the y-value of the data set at that corresponding value of x.
B. Each point on the least-squares regression line represents one of the points in the data set.
C. Each point on the least-squares regression line represents the predicted y-value at the corresponding value of x.
D. Each point on the least-squares regression line represents the y-values that would be considered ideal at that corresponding value of x.
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In a chemistry experiment, 50,000
independent samples need to be tested for the presence of a chemical compound. To decrease the amount of testing, 5 samples at a time are combined and tested together. A combined sample will result in a negative test only if each of the five component samples is negative for the chemical compound.
If the probability of an individual sample testing positive is 0.2, what is the probability that a combined sample tests positive?
Note that the probability that a combined sample tests positive is 0.67232 or 67.232%.
What is the rationale for the above response?Let P(pos) be the probability that an individual sample tests positive.
We know P(pos) = 0.2,
so the probability that an individual sample tests negative is:
P(neg) = 1 - P(pos) = 0.8.
Let P(combined_neg) be the probability that a combined sample tests negative (i.e., all five component samples are negative).
Since the component samples are independent, we can calculate
P(combined_neg) as the product of their individual probabilities:
P(combined_neg) = P(neg) x P(neg) x P(neg) x P(neg) x P(neg)
= 0.8⁵
= 0.32768
Therefore, the probability that a combined sample tests positive (i.e., at least one of the five component samples tests positive) is:
P(combined_pos) = 1 - P(combined_neg)
= 1 - 0.32768
P(combined_pos) = 0.67232
Thus, the probability that a combined sample tests positive is 0.67232 or 67.232%.
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what is 5.76 divide by 16
Answer:
0.36
Step-by-step explanation:
and I got this answer by using calculator
Draw the graph of the equation y=6-x-x² and find the gradient at x=2 x=-3+0+3
The graph of equation y = 6 - x - x² is shown in figure.
And, The value of gradient at x = 2 is, - 5.
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.
Given that;
The equation is,
⇒ y = 6 - x - x²
Now, The graph of equation y = 6 - x - x² is shown in figure.
Which represent the graph of parabola.
And, The value of gradient at x = 2 is,
⇒ y = 6 - x - x²
⇒ y' (x) = 0 - 1 - 2x
⇒ y' (x) = - 1 - 2x
At x = 2;
⇒ y' (2) = - 1 - 2 × 2
⇒ y ' (2) = - 1 - 4
⇒ y' (2) = - 5
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f(x) = 2x + 1 value of f(5)
Answer:
[tex]\huge\boxed{\sf f(5) = 11}[/tex]
Step-by-step explanation:
Given function:f(x) = 2x + 1
Put x = 5
So,
f(5) = 2(5) + 1
f(5) = 10 + 1
f(5) = 11[tex]\rule[225]{225}{2}[/tex]
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:
Slope: 2y-intercept: (0,1) What is intercept?In Math's, an intercept is a point on the y-axis, through which the slope of the line passes. It is y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept. There are basically two intercepts, x-intercept and y-intercept.
Rewrite the function as an equation:
→ y = 2x + 1
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y = mx + b where m is the slope of b is the y-intercept:
→ y = mx + b
Find the values of m and b using the form y = mx + b:
→ m = 2
→ b = 1
Therefore, A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:
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After receiving a 45% discount, Mark bought a new camera for $245.99. What was the cost of the camera before the discount
Answer: $546.60 (*this was the actual number but I rounded it $546.644444444)
Step-by-step explanation:
Divide: $245.99/0.45 = 546.644444444
You can double check your answer by multiplying 546.644444444 by 0.45 and you will get $245.99
If you multiply by $546.60 you will get $245.97 since you rounded
Find X. round to nearest tenth using law of cosines, please help!
Step-by-step explanation:
Using the modified picture attached to this answer;
Parameters
x = Angle X
8 = x
19 = y
14 = z
Therefore,
Using Cosine rule
x² = y² + z² - 2·y·z·cos X
Masking Cos X the subject of the formula,
Cos X = (y² + z² - x²) / (2·y·z)
Cos X = (19² + 14² - 8²) / (2·19·14)
Cos X = (361 + 196 - 64) / 532
Cos X = (557 -64) / 532
Cos X = 493 / 532
Cos X = 0.92669
But, since we are looking for angle X, we have to divide both sides by Cos, therefore having;
X = Cos-¹ [0.92669]
Since 1 / Cos = Cos-¹
Therefore,
X = 22.075
And since x, our unknown, is equal to angle X, then,
x = 22.1 (to the nearest tenth)
What is the minimum interior angle possible for Aregular polygon Why?
Answer:
Step-by-step explanation:
The minimum interior angle possible for a regular polygon is given by the formula:
interior angle = (180° * (n-2)) / n
where n is the number of sides in the polygon. The formula is based on the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) * 180°.
As n increases, the value of the interior angle decreases and approaches the minimum value of 180°. However, for a regular polygon, all interior angles must be equal, so the minimum possible value is given by the formula above.
For example, consider a regular hexagon (n=6). The minimum interior angle is given by:
interior angle = (180° * (6-2)) / 6 = 120°
So, the minimum interior angle possible for a regular polygon is 120°.
Plss help its due today
(a) The angle measurement of first unknown angle is c = 80 degrees
(b) The angle measurement of second unknown angle is y = 110 degrees
How to find the angle measurement of first unknown angle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
(a) You can pick pair of starting angles a = 30 degrees and b = 70 degrees
The angle measurement of first unknown angle will be:
a + b + c = 180 (sum of angles in a triangle is 180 degrees)
c = 180 - a - b
c = 180 - 30 - 70
c = 80 degrees
(b) The angle measurement of second unknown angle will be:
y = 180 - b (sum of angles on a straight line is 180 degrees)
y = 180 - 70
y = 110 degrees
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Can anyone help me on this?
Answer:
A = 80ft^2
Step-by-step explanation:
Area of trapezoid = (a + b/2) x h
A = ((6 + 10)/2) x 10
A = (16/2) x 10
A = 8 x 10
A = 80ft^2
Answer:
Area is 80 square feet
Step-by-step explanation:
The shape of the bedroom is a trapezoid
h = perpendicular height of trapezoid
Area of a trapezoid:
[tex]\frac{1}{2}[/tex]×(Sum of parallel sides)× h
= [tex]\frac{1}{2}[/tex] × [(10 + 6) feet] × (10 feet)
= [tex]\frac{1}{2}[/tex] × (16 feet) × (10 feet)
∴ Area of Skylar’s Bedroom = 80 square feet
= [tex]80 ft^{2}[/tex]
The temperature in Toronto, Canada was 12° F at noon. For the remainder of the day, the temperature dropped 5° every hour. What equation could be used to represent the relationship between x, the number of hours past noon, and y, the temperature outside?
WHAT IS THE GRAPH?
Answer:
y=12-5x
Step-by-step explanation:
We know that 12 is our original number so we put that first. X represents the number of hours. And 5 is how much its dropping per hour. Y would be our final answer. If you sub in for x the amount of hours outside and multiply it by 5, that's how many degrees it dropped.
14 cm
2 cm
18 cm
2 cm
What is the approximate area of the remaining cardboard? Use 3.14 for and round to the nearest whole number.
O 227 cm²
O 246 cm²
O258 cm²
O276 cm²
The approximate area of the remaining cardboard would be = 246 cm². That is option B.
How to calculate the area of the remaining cardboard?To calculate the area of the remaining cardboard = (area of rectangle) - 2(area of circle)
The formula that is used to calculate the area of rectangle = length×width
where length = 14 cm
width = 18cm
area = 14×18 = 252 cm²
The area of the 2 circle formula;
= 2(πr²)
where π = 3.14
r = 2/2 = 1
area = 2(3.14) = 6.28
Area of the remaining cardboard
= 252 cm²- 6.28
= 245.72
= 246 cm²
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Pls do 1 or more and if all I will mark brainlyest
Answer:
Step-by-step explanation:
1. The Louisiana Purchase
Thomas JeffersonMeriwether LewisThe purpose of this would be to greatly strengthen the U.S. materially and strategically and provide powerful impetus to westward expansion and also confirmed the doctrine of implied powers of the federal Constitution.James MonroeExpanding the nation westward.2. The War of 1812
Causes- British Orders-in-Council and impressment. Effects- increased patriotism in the United States and increased respect for the US from other countries.The United States and Great Britain3. The Missouri Compromise
A law that tried to address growing sectional tensions over the issue of slavery.Causes- many people opposed the extension of the institution of slavery into new territory, and worried that adding Missouri as a slave state would upset the balance that currently existed between slave and free states in the Union. Effect- admitted Missouri as a slave state and Maine as a non-slave state at the same time, so as not to upset the balance between slave and free states in the nation. It also outlawed slavery above the 36º 30' latitude line in the remainder of the Louisiana Territory.4. Trail of Tears
The deadly route used by Native Americans when forced off their ancestral lands and into Oklahoma.Cherokee, Choctaw, Chickasaw, Creek, and Seminole tribes.Hope this helped!
-1/6 divided by 2/3(9 - 3/4) - 1/2
Answer:
-1/30
Step-by-step explanation:
-1/6 divided by 2/3(9 - 3/4) - 1/2
2/3(9 - 3/4) - 1/2
= 18/3 - 6/12 - 1/2
= 72/12 - 6/12 - 6/12
= 60/12
= 5
We have
-1/6 ÷ 5
= -1/6 x 1/5
= -1/30
describe the characteristics of each parabola without graphing
f (x) = -3x^2
A. compression by 3, reflected over x-axis
B. stretch by 3, reflected over x-axis
C. stretch by 3, reflected over y-axis
D. compression by 3, reflected over y-axis
The characteristics of the given parabola f(x) = -3x² are, A. Compression by 3, reflected over the x-axis.
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation.
Here,
The general form of a parabola is f(x) = ax² + bx + c, where a, b, and c are constants. In this case, the given equation is f(x) = -3x², which means that a = -3, b = 0, and c = 0.
The sign of "a" determines the direction of the parabola. When "a" is negative, the parabola opens downward, and when "a" is positive, the parabola opens upward. In this case, a = -3, which means the parabola opens downward.
If a parabola is reflected over the x-axis, the sign of "a" remains the same. If it is reflected over the y-axis, the sign of "a" changes. In this case, the parabola is reflected over the x-axis, which means the sign of "a" remains negative.
Therefore, the characteristics of the given parabola f(x) = -3x² are, A. Compression by 3, reflected over the x-axis.
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A marine biologist was interested in seeing the relationship between a manatee's weight and height. She gathered data and wanted to construct a graph to display the data in order to observe this relationship.
Is a scatter plot or a line graph more appropriate to construct for the data, given the context of the problem? Explain.
A scatter plot, because it would show the association or relationship between two variables
A scatter plot, because it would show how a variable changes over time between each data point given
A line graph, because it would show the association or relationship between two variables
A line graph, because it would show how a variable changes over time between each data point given
Answer:
(c) A line graph, because it would show the association or relationship between two variables
Step-by-step explanation:
You want to know if scatter plot or a line graph more appropriate to construct for seeing the relationship between a manatee's weight and height.
VariablesThe variables involved are "weight" and "height". Notice that "time" is not involved. (This eliminates choices B and D.)
GraphA line graph is useful for showing how one variable relates to another as the value of one variable changes. It would be useful for plotting the weight and height of one animal as it changes during the animal's lifetime.
When multiple animals are involved, a scatter plot might be more helpful for showing the relationship.
The context is given as "a manatee's weight and height", not "manatees' weight and height." Hence it seems we can assume that we're looking at data for only one animal.
The appropriate graph would be ...
A line graph, because it would show the association or relationship between two variables — choice C.
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bro whats, solve the following system of linear equations by elimination
5x + y = 9
10x - 7y =-18
Answer:
x=1,y=4
Step-by-step explanation:
5x+y=9
5x=9-y
x=(9-y)/5
put it in 10x-7y=-18
10x((9-y)/5)-7y=-18
18-2y-7y=-18
-9y=-36
y=4
x=(9-4)/5=1
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + y = 9
10x - 7y = -18
Time the first equation by -2
-10x - 2y = -18
10x - 7y = -18
-9y = -36
y = 4
Now put 4 in for y and solve for x
5x + y = 9
5x + 4 = 9
5x = 5
x = 1
Let's check
5(1) + 4 = 9
5 + 4 = 9
9 = 9
So, x = 1 and y = 4 is the correct answer.
3x + y = -8 -2x - y = 6
Answer:
x=-2
Step-by-step explanation:
if we find sum of same variables ,
3x-2x+y-y=-8+6
x=-2
I need someone to answer this please.
The equations of the functions are C(x) = 2.5x + 60, R(x) = 10x and P(x) = 7.5x - 60
How to determine the equationsDefining the variables, we have
x: the number of tie-dye T-shirts produced and soldP(x), C(x) and R(x) as the functionsFor the equation of the money they spend:
The cost of materials is $2.50 per T-shirtThe fixed cost for dyeing materials is $60So, the equation for the total money spent can be written as:
C(x) = 2.5x + 60
For the equation of the money they collect:
The cost of selling is $10 per T-shirtNo fixed costSo, the equation for the total money collected can be written as:
R(x) = 10x
To calculate the profit from selling, we subtract the cost from the revenue
So, we have
P(x) = 10x - 2.5x - 60
Simplifying this equation, we get:
P(x) = 7.5x - 60
Hence, the profit equation is P(x) = 7.5x - 60
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Consider the data set.
91, 91, 92, 97, 99, 108, 110, 112, 119, 132, 150
Which box plot represents the data set?
The box plot that represents the data-set is given as follows:
Option B.
What is shown by the box and whisker plot?From left to right, the five features of the box and whisker plot are listed as follows
Minimum value.Lower quartile.Median.Upper quartile.Maximum value.The data-set in this problem has 11 elements, hence:
The first half is 91, 91, 92, 97, 99.The second half is 110, 112, 119, 132, 150.The median is 108.The quartiles are the mean of each half, hence:
First quartile: 92.Second quartile: 119.Meaning that the second plot is correct.
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Simplify.
68.6³ = 61²]
65
A product is marked down to 15%; the sale price is $127.46. What was the original price?
Answer:
The original price is $ 149.95
a
= 13 m,
b
= 9 m and
c
= 2 m for the triangle shown below.
Work out the value of
x
, giving your answer as an exact surd.
The diagram is not drawn accurately
Answer:
2√21
Step-by-step explanation:
let the sides of bigger triangle be a, b and d.
then,
a²= b² + d² [ by Pythagoras theorem]
13² = 9² + d²
d² = 13² - 9²
d²= 169 - 81
d² = 88
d = √88
Now, the sides of smaller triangle are c, x, and d
by Pythagoras theorem,
d² = c²+x²
(√88)² = 2² + x²
88 - 4 = x²
x² = 84
x = √84
x= 2x2x3x7
x = 2√21
Therefore, the value of x is 2√21
Hope it's helpful..
Use the bar graph to find the experimental probability of rolling a 5.
Times rolled
25
20
10
Rolling a Number Cube
16 15
1 2
19 20
3
Number rolled
456
The experimental probability is
The experimental probability of rolling a 5 is 25/56, or 0.446.
What is Probability?Probability is a field of mathematics that deals with the chance of certain events happening. It is used to calculate the likelihood of different outcomes in a given situation. Probability helps to make decisions for a variety of real-world applications, such as predicting the weather, deciding whether to invest in stocks and calculating insurance rates. Probability is based on the idea that all outcomes are equally likely, and can be expressed as a number between 0 and 1, where 0 means something is impossible and 1 means something is certain.
The experimental probability is calculated by taking the total number of times a number was rolled and dividing it by the total number of rolls. In this case, the total number of times a 5 was rolled is 25, and the total number of rolls is 56. Therefore, the experimental probability of rolling a 5 is 25/56, or 0.446.
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If two events are collectively exhaustive, what is the probability that both occur at the same time?
a) 0. b) 0.50. c) 1.00. d) Cannot be determined from the information given
If two events are collectively exhaustive, then the probability that both occur at the same time is 1.00 (Option c)
What do you mean by Probability?Probability is a quantification of how likely an event is to occur. Typically, probabilities are defined as the chances that a specific outcome will occur out of a given selection of outcomes. A probability is expressed mostly in decimal form, taking values between 0 and 1. Probabilities cannot exceed this particular range of values.
Firstly, To clarify : You are confusing mutually exclusive and jointly collectively exhaustive.
The former describes condition which cannot both (or all) obtain. and so exclude one another.
i.e., "not - (both A and not - A)"
The latter describes conditions, one of which must obtain, and so exhaust the field of possibilities. i.e., "either A or not - A"
I presume you intend to refer to the latter.
Second, to answer your question: If two events - are jointly exhaustive, their probabilities must by definition sum to 1.
It is thus certain, not merely probable, that one or the other will obtain.
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I need help with the question ASAP
Answer:
3. d
4.b
5.a
6. is 15
Step-by-step explanation:
mn=5
no=5
op=10
pq=10
11. Given the four points, A(-3, 5), B(1, 13), C(4, 2), and D(10, 5) are AB and CD parallel? Use
mathematical evidence to justify your answer.
AB and CD are not parallel lines.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If the slope of AB and CD are equal then the lines are parallel.
A(-3, 5), B(1, 13), C(4, 2), and D(10, 5)
AB=13-5/1+3
=8/4=2
CD=5-2/10-4
=3/6=1/2
As the slope of lines are different, the lines are not parallel.
Hence, AB and CD are not parallel lines.
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What is operationalization of variable in research?
Operationalization of variables in research involves defining a concept in a way that it can be measured or observed.
It is the process of taking abstract concepts, such as attitudes, beliefs, or behaviors, and defining them in a way that they can be measured using empirical methods. This is done by creating a set of specific and concrete indicators or measures that represent the concept being studied. The operationalization of variables is a critical step in the research process, as it ensures that the data collected is both reliable and valid, and can be used to draw meaningful conclusions and make predictions.
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