There is no mode in the data set 1, 2, 3, 4, 5,6,7,8,9.
A mode is defined as the value that has a higher frequency in a given set of values. It is the value that appears the most number of times.
Given that,
Data set= 1, 2, 3, 4, 5,6,7,8,9
By the definition of mode, it is clear that the most observed data in a data set will be the mode of that data set. And this can be zero also. And it can be more than zero.
In statistics, the mode is the most commonly observed value in a set of data. And for the normal distribution, the mode is always the same as the mean and median. But in many cases, the modal value of a data set will differ from the average value in the data.
If we take our question then 1, 2, 3, 4, 5, 6,7,8,9.
Here, no term is repeated more than once.
So, there is no most observed term.
So, there is no mode in this data.
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What is the variance of 2 4 6 8 10?
The variance of 2, 4, 6, 8, 10 is 8.
To calculate the variance of a set of numbers, you first need to calculate the mean of the set. The mean of 2, 4, 6, 8, 10 is 6. Then, for each number in the set, you need to calculate the difference between that number and the mean, and square the result. Finally, you need to sum those squared differences and divide by the number of items in the set.
Here's the calculation:
(2 - 6)^2 + (4 - 6)^2 + (6 - 6)^2 + (8 - 6)^2 + (10 - 6)^2 = (-4)^2 + (-2)^2 + 0^2 + (2)^2 + (4)^2 = 16 + 4 + 0 + 4 + 16 = 40
40 / 5 = 8
So, the variance of 2, 4, 6, 8, 10 is 8.
How does variance work?Variance is a statistical measurement of the variation in numbers within a data set. Variance, in more precise terms, indicates how far apart any number in the set is from both the mean (average) and, consequently, from every other number in the set.
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The m∠BOD = 46 and the m∠BOC = 26. What is the m∠COD?
The measure of the angle m∠COD is 20 degrees
How to determine the measure of the angle m∠COD?From the question, we have the following parameters that can be used in our computation:
The measures of the angles:
m∠BOD = 46 and m∠BOC = 26.
The measure of the angle m∠COD is the difference between of the above angles
Using the above as a guide, we have the following:
Measure of the angle m∠COD = Difference of angles m∠BOD and m∠BOC
Mathematically, this is represented as
Measure of the angle m∠COD = m∠BOD - m∠BOC
Substitute the known values in the above equation, so, we have the following representation
Measure of the angle m∠COD = 46 - 26
Evaluate the difference
Measure of the angle m∠COD = 20
Hence, the angle is 20 degrees
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Bethany collected 200 survey responses regarding recycling behaviors in her city. of those responses, 174 people responded that they participate in the city’s recycling program. use this information to complete the statement. round all answers to the nearest hundredth. the approximate sample proportion is____, which means that %___of the people surveyed do not participate in the city’s recycling program.
Answer:
the approximate sample proportion is 87%, which means that 13% of the people surveyed do not participate in the city’s recycling program.
Misha surveyed students in her school about what writing tool they use. She found that 75 use pens; 30 of the pen users are boys. She also found that 28 boys and 32 girls use pencils. A 4-column table with 3 rows. Column 1 has entries boys, girls, total. Column 2 is labeled pens with entries 30, a, 75. Column 3 is labeled pencils with entries 28, 32, b. Column 4 is labeled total with entries c, d, e. Determine what each letter should be to complete this two-way table. A = b = c = d = e =.
The value of a,b,c,d, and e is 45, 60, 58, 77, and 135 respectively, required to complete the two-way table.
A two-way table shows the connections between two sets of category data visually. Labels are positioned at the top and left sides of the table, which has rows and columns.
The sums for each row are displayed to the right, while the sums for each column are displayed at the bottom.
We must create a two-way table based on the issue to ascertain the worth of each letter.
| Pens | Pencils | Total |
| Boys | 30 | 28 | c |
| Girls | a | 32 | d |
| Total | 75 | b | e |
This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.
Add the entries in the table to get the total and subtract if the total is given and one value is missing.
a= 75-30 = 45
b = 28+32= 60
c= 30+28 = 58
d= 45+32= 77
e= 75+60 = 135
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| Pens | Pencils | Total |
| Boys | 30 | 28 | c |
| Girls | a | 32 | d |
| Total | 75 | b | e |
This shows the entries in the body of the table. To find the value of each letter, we need to add and subtract.
Add the entries in the table to get the total and subtract if the total is given and one value is missing.
a= 75-30 = 45
b = 28+32= 60
c= 30+28 = 58
d= 45+32= 77
e= 75+60 = 135
What is the first step to graph an inequality?
Always begin by separating the variable y from the inequality's left side is the first step to graph an inequality.
What are the steps to graphing an inequality?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the symbol for inequality with that for equality.
Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.
Step 4: Shading one side or area of the boundary line is the final step.
Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.
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Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&5x-2+x&=x-4 \\\\ B.&&5x+x&=x-4 \end{aligned} A. B. 5x−2+x 5x+x =x−4 =x−4 1) How can we get Equation BBB from Equation AAA
(Choice A) A Add/subtract a quantity to/from only one side
(Choice B) B Add/subtract the same quantity to/from both sides
(Choice C) C Rewrite one side (or both) using the distributive property (Choice D) D Rewrite one side (or both) by combining like terms
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
(Choice A) A Yes
(Choice B) B No
The given equation A) 5x -2 + x = x - 4 and B) 5x + x = x - 4 are not equivalent.
The term equation in math refers the mathematical statement that is made up of two expressions connected by an equal sign.
Here we have given that the tow equations are
A) 5x -2 + x = x - 4
B) 5x + x = x - 4
And we need to find if they are equivalent or not.
While we looking into the given question, we have given the following equations,
A) 5x -2 + x = x - 4
B) 5x + x = x - 4
In order to find if they are equivalent or not, we have to simplify each of then then we get,
=> A) 6x - 2 = x - 4
=> A) 6x - 2 - x + 4
=> A = 5x + 2
Now, we have to do the same to simplify the equation (B), then we get
=> B) 6x = x - 4
=> B = 6x - x + 4
=> B = 5x + 4
Now, we compare the two solved equation,
=> A = B
=> 5x + 2 = 5x + 4
Here the variable part is equal but the constant value is not same.
Therefore, we have identified the the two equation are not equivalent.
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What is the median of the following data sample 2 7 4 8 9 10 6 12 13?
There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, and 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8.
The median is a measure of central tendency, which means it is used to describe the "typical" or "average" value in a sample of data. To find the median, we first need to arrange the data in numerical order. In this case, the data is already in numerical order, so we can proceed directly to finding the median.
There are 9 values in the sample: 2, 4, 6, 7, 8, 9, 10, 12, 13. Since there are an odd number of values, the median is the middle value. In this case, the median is the 5th value, which is 8. This means that 8 is the middle value, with 4 values smaller than it and 4 values larger than it.
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What is the standard deviation for the set of numbers 2 4 6 8 10 12 14?
We calculated standard deviation 4 for the given set of numbers.
What means standard deviation?
In the statistics, standard deviation is an estimation that implies how far each data value apart from the mean value. A high standard deviation indicates that all data are dispersed around the mean. And a low score of standard deviation implies data values are close enough in relation to the mean.
How to calculate standard deviation for the given data?Let, X be the list of data value, X² be the square of the data value.
X X²
2 4
4 16
6 36
8 64
10 100
12 144
14 196
we add all the data value and get ∑X = 56
We add all the squared value and get ∑X² = 560
Standard deviation is calculated by using the formula
SD =
√ [∑X²/N - (∑X/N) ²]
where N is the number of data present N= 7
SD = √[560/7 - (56/7)²]
= 4
Hence, calculated standard deviation is 4
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Question 4 (1 point)
What is the product? (6.28x10^3) x 10,000
62,800
6,280,000
6,280
62,800,000
62,800,000 is the product of (6.28 x 10^3) x 10,000.
What is the product?It refers to the result of one or more multiplications.
Given number is (6.28 x 10^3) x 10,000.
6.28 x 10^3 = 6280
Therefore, 6280 x 10,000 = 628,000,00
Hence, the product of (6.28 x 10^3) x 10,000 is 628,000,00.
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Is 3x² 4x 15 a polynomial in one variable?
The equation is 3x² - 4x + 15 is polynomial in one variable.
What are polynomial in one variable?An algebraic expression with one or more terms and a non-zero coefficient is called a polynomial. A polynomial is an expression composed of variables, coefficients, and constants connected by a mathematical operator. A polynomial is an expression connected by mathematical operations like addition, subtraction, multiplication, and division. An algebraic expression with only one variable is called a polynomial in one variable.
Given equation 3x² - 4x + 15
An algebraic expression with only one variable is a polynomial in one variable.
some examples of one variable polynomial
x + 2
y+ 5
x² + ax + b
ax³ + bx + c
all the equations that contain only 1 variables are polynomial in one variable.
Hence the expression is polynomial in one variable.
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What is the mode of the distribution 3 5 7 4 2 1 4 3 4?
Mode of the distribution 3, 5, 7, 4, 2, 1, 4, 3, 4 is 4.
As per the question the data given is 3, 5, 7, 4, 2, 1, 4, 3, 4.
Now we have to determine the mode of the given distribution.
Mode: A mode is defined as the value that has a higher frequency in a given set of values. It is the value that appears the most number of times.
The simple way to determine the mode is the most repeated data.
The number or the value which is "repeated more number of times compared to the other values".
From the data given:
3 repeated two times.
5 repeated one time.
7 repeated one time.
4 repeated three times.
2 repeated one time.
1 repeated one time.
Therefore the value of mode is 4.
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In circle H with m/GHJ = 54°, find the m/GKJ.
Answer:
H
G
K
Submit Answer
DEVEL
attempt 1 out of 2
The measure of the angle ∠GKJ, m∠GKJ, at the circumference of the circle H, which is subtends the same arc GJ as the angle ∠GHJ at the center of the circle is 27°
What is an arc of a circle?An arc of a circle is a part of the circle's circumference.
The measure of angle ∠GHJ, m∠GHJ = 54°
The measure of angle ∠GKJ, m∠GKJ = Required
Please find attached a possible drawing of the circle H created with MS Word and based on a similar question posted online
The circle, Angle at the Center Theorem states that the angle subtended at the center by arc is twice the angle subtended by the arc at the circumference of the circle.
The question indicates that the angle subtended by the arc GJ at the center of the circle, ∠GHJ = 2 × The angle subtended by the arc GJ at the circumference, ∠GJK
Therefore;
m∠GHJ = 2 × m∠GKJ
54° = 2 × m∠GKJ
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g what word is used to say the probability of an adverse outcome? question 12 options: risk variance random statistics none of the above
Risk is used to say the probability of an adverse outcome.
Option (a) (Risk) is the correct choice.
Through risk assessment, businesses, governments, projects, and investors may determine the likelihood that a bad occurrence will have a detrimental effect on their operations.
Risk assessment is crucial for figuring out the value of a particular project or investment and the appropriate process(es) to manage such risks.
Different methods may be used to evaluate the risk and reward tradeoff of a possible investment opportunity using the information provided by risk analysis.
A risk analyst begins by determining what may go wrong.
These drawbacks must be compared to a probability meter that assesses the chance that the event will occur.
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The correct question may be:
What word is used to say the probability of an adverse outcome?
(a) risk
(b) variance
(c) random statistics
(d) None of the above
find the zeros
p(x)=5x3 −5x 2 −10x
and then place them on a graph
The polynomial function p(x) = 5x³ - 5x² - 10x have zeros of 0, -1 and 2
Zeros of a PolynomialThe zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial.
The polynomial function given is
p(x) = 5x³ - 5x² - 10x
The zeros of the function are 0, 2, -1
To test the zeros if they are the roots of the polynomial
p(0) = 5(0)³ - 5(0)² - 10(0)
p(0) = 0
p(2) = 5(2)³ - 5(2)² - 10(2)
p(2) = 0
p(-1) = 5(-1)³ - 5(-1)² - 10(-1)
p(-1) = 0
The zeros are 0, -1, and 2 to the polynomial
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Determine which ratio forms a proportion with 14/35 by writing the ratio in simplist form.
A) 2/7
B) 4/5
C) 3/8
D) 2/5
What is the formula of commutative property?
The formula of commutative property of addition is a + b = b + a and the formula of commutative property of multiplication is a × b = b × a.
The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another.
The commutative property of addition states that a + b = b + a
The commutative property of multiplication states that a × b = b × a.
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I need to know the unit price for both a and b and what’s the better buy
Answer:
Brand A Forks $0.08, Brand B Forks $0.06, Better Buy is Brand B
Step-by-step explanation:
Unit price is price per unit (in this case, forks)
You need to find the $ for 1 fork for Brand A and B, since they have different unit prices.
total price/units = price/unit
Brand A: $1.97/25 forks = $0.0788 (rounded up is $0.08)
Brand B: $2.98/48 forks = $0.06208 (rounded up is $0.06)
Better brand is Brand B because it is cheaper.
What expression is equal to x squared minus 6x
Answer:
Step-by-step explanation:
[tex]x^{2} -6x[/tex]
The cafeteria at Midtown Middle School surveyed 575 students about their favorite food. Find the number of students that responded for each of the following.
Fruit = 24%
Write your answer like this
Answer __________
The correct answer is 138 students.
How did we figure this out?
x = .24 * 575
x = 138 students
Therefore, the correct answer is 138 students.
Are all equilateral triangles similar and congruent?
Yes, All equilateral triangles are similar to each other.
No, All equilateral triangles are not congruent to each other.
How all equilateral triangles are similar?The fact that every angle in an equilateral triangle is equal to 60 degrees is one of its characteristics.
According to the AAA Triangle Similarity Postulate, two triangles are similar if all of their angles are identical to their corresponding angles in another triangle.
According to the AAA Postulate, all equilateral triangles are similar because their angles are all 60 degrees.
why all equilateral triangle are not congruent?The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .
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What is Z set in math?
Therefore, the Z set represents the all integers numbers .
Describe integer.
An integer is a whole number, not a fraction, that can be negative, positive, or zero. The numerals set of 5, 1, 5, 8, 97, and 3, 043 are a few examples. Non-integer numbers include 1.43, 1 3/4, 3.14, and other numbers.
According to the given question:
The set of integers represented here by Z is..., 2,..., 1, 0, 1, 2,... Q stands for the collection of rational numbers (the set of all possible fractions, including the integers).
The set of real numbers is designated as R. The group of complex numbers is designated as C.
Therefore, the Z set represents the all integers numbers .
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1. Find the length of arc PRQ: Show your work.
Answer:
The length of arc PRQ is 16.7 in.
Step-by-step explanation:
Given;r = 8 inθ = 120°So,
arc length = 2πr × (θ/360)
arc length = 2(3.14)(8) × (120/360)
arc length = 2(3.14)(8) × (120/360)
arc length = 50.24 × (1/3)
arc length = 16.7 inches
Thus, The length of arc PRQ is 16.7 in.
How do you determine the relationship between the volume of a rectangular prism and pyramid?
The relationship between the volume of a rectangular prism and pyramid is defined as that the pyramid takes up 1/3 of the volume of a prism.
Here we need to identify the relationship between the volume of a rectangular prism and pyramid.
As we all know that the volume of rectangle prism is written as,
=> Volume of a prism = (area of base) * height
Now, let us consider the volume of a pyramid that the pyramid takes up 1/3 of the volume of a prism when their bases and height are equal.
So, here the volume of a pyramid is 1/3 multiplied by the volume of a prism.
Then we get the volume of pyramid is written as,
Volume of a pyramid = 1/3 (area of the base) * height
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What is equal to 3 minus square root of eight divided by square root of 3
Answer:
approximately 1.732
Step-by-step explanation:
To solve this expression, we need to start by performing the operations inside the parentheses first. The square root of 8 is equal to 2, so 3 minus 2 is equal to 1. Then, we can divide 1 by the square root of 3, which is equal to approximately 1.732. Therefore, the expression 3 minus square root of eight divided by square root of 3 is equal to approximately 1.732.
Tori and Matias work as jewelers. Tori has an hourly
wage of $24 and gets overtime for every hour she works over 40 hours. The
overtime pay rate is 150% of the normal rate. Matias makes 5% commission
on all jewelry he sells. Who earns more money in a week if Tori works
60 hours and Matias sells $21,000 worth of jewelry? Explain.
Divide the base for that period by the appropriate commission rate to determine your commission for that period. Mark earns more money.Since $1680 > $1080, Mark earns more.
Who makes the most money each week?This is a pretty straightforward computation based on percentages. Simply take the selling price, multiply it by the commission rate, then divide the result by 100.
Mark: $24/h; 150% OT
Calculate Mark's overtime (OT) pay
Convert OT rate to decimals --> 150% = 1.5
Mark's OT wage is 1.5*$24 = $36
Mark worked for 20h OT. (60h-40h = 20h)
(Regular pay X regular hours worked) + (OT wage X OT hours worked)
= ($24 X 40h) + ($36 X 20h)
= $1680
Joe: 5% commission
Convert 5% to decimals --> 0.05
(Jewelry sold) X (commission rate)
= $21000 X 0.05
= $1050
Since $1680 > $1080, Mark earns more.
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need help
please and thank you
Answer:
98 laps
Step-by-step explanation:
(5x 14) + (2 x 14)
70+ 28 =98
Determine the domain of the following graph:
Answer: see below
Step-by-step explanation:
The domain of a graph consists of all the input values shown on the x-axis
We want to find the left-most x value and the right-most x value.
-8, 3
since there is a hole at the point where x=3 we will use a paratensesis
D:xE[-8,3)
What is the measurement of angle cbd
Given that:
Angle CBD=6x-40
Angle BFH=4x
From the given diagram, angle CBD=angle BFH ("corresponding angles")
Therefore 6x-40=4x,
6x-4x=40,
2x=40,
x=20
now Angle CBD= 6(20)-40
= 80
2. Determine the number of real solutions of the system
You HAVE to show your work to get full credit.
(y=x²-3
y = -2x +4
The number of real solutions of the system are 2 if y=x²-3, y = -2x +4
What is meant by system of solutions?An equation system's solution is a collection of values for the variable that concurrently fulfill each equation. Finding all of the possible sets of variable values that make up the system's solutions is necessary to solve an equation system. However, the second equation does not have a solution at (5, 4). There is often only one solution to a system of linear equations, however it is possible for there to be infinite or no solutions (parallel lines) on occasion (same line).
Given,
y=x²-3 -----(1)
y=-2x +4 -----(2)
Solving equations 1 and 2, we get
x²-3=-2x +4
x²+2x-3-4=0
x²+2x-7=0
We have to solve by using quadratic formula,
x= (-b±√b²-4ac)/2a
x= (-2±√2²-4(1)(-7))/2(1)
x= (-2±√4+28)/2
x= (-2±√32)/2
x= (-2±4√2)/2
x= -1±2√2
x= -1-2√2, -1+2√2
Thus, the system has two solutions.
Therefore, the number of real solutions of the system are 2.
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How do you prove two triangles are congruent to each other?
All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.
Congruent Figures :
Those figures which covers each other/one another exactly then they are congruent Figures.
There are 4 ways by which we can prove any 2 triangles as congruent :
If they are having -
SSS : Side Side SideThree pairs of side are equal then the triangles are congruent.
ASA : Angle Side Angle / AAS : Angle Angle SideIf any 2 pairs of angles and 1 side are equal then the triangles are congruent.
SAS : Side Angle SideIf any two pairs of sides and the included angle are equal then the triangles are congruent.
RHS : Right Hypotenuse SideIf any right angle triangles are having their hypotenuse and a pair of sides equal then they are congruent.
So, all three pairs of corresponding sides are equal then are congruent to each other.
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