[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\textbf{Which set of data does not have a mode?}[/tex]
[tex]\huge\textbf{The choices that you have provided:}[/tex]
[tex]\textbf{(A) 1, 2, 5, 6, 8}[/tex]
[tex]\textbf{(B) 1, 3, 5, 5, 6}[/tex]
[tex]\textbf{(C) 1, 5, 5, 5, 5}[/tex]
[tex]\textbf{(D) 1, 1, 1, 2, 2}[/tex]
[tex]\huge\textbf{Okay, so let's get the understanding}\\\\\huge\textbf{of the word mode is:}[/tex]
[tex]\large\textbf{The best way to understand what \boxed{\bf mode} it is known as}\\\\\large\textbf{the number you see MORE THAN once. }[/tex]
[tex]\huge\textbf{Now that we got that information out of}\\\\\huge\textbf{the way, we can answer your question by}\\\\\huge\textbf{doing process of elimination.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\textbf{1, 2, 5, 6, 8}[/tex]
[tex]\large\textbf{None of the numbers r.e.p.e.a.t so this cann be your}\\\\\large\textbf{answer.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\textbf{ 1, 3, 5, 5, 6}[/tex]
[tex]\large\textbf{1}\rightarrow\large\textbf{ is r.e.p.e.a.t.e.d once}\\\large\textbf{3}\rightarrow\large\textbf{ is r.e.p.e.a.t.e.d once}\\\large\textbf{5}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d twice}\\\large\textbf{6}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d once}[/tex]
[tex]\large\textbf{Just because majority of your numbers r.e.p.e.a.t.e.d}\\\\\large\textbf{once that doesn't mean it does have a mode rarely.}\\\\\\\\\\\large\textbf{So, Option B. isn't your answer because it has a mode.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\textbf{ 1, 5, 5, 5, 5}[/tex]
[tex]\large\textbf{1}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d once}\\\large\textbf{5}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d four times}[/tex]
[tex]\large\textbf{Option C. isn't your answer because it has a mode.}[/tex]
[tex]\huge\textsf{Option D. }[/tex]
[tex]\textbf{1, 1, 1, 2, 2}[/tex]
[tex]\large\textbf{1}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d three times}\\\large\textbf{2}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d twice}[/tex]
[tex]\large\textbf{Just because we have like two modes, it still doesn't mean}\\\large\textbf{you don't have a mode. It 's kind of cool that you have more}\\\large\textbf{than once mode.}[/tex]
[tex]\large\textbf{Option D. isn't your answer because it has a mode though}\\\large\textbf{because it has like 2 sets of modes.}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{Option\ A. 1, 2, 5, 6, 8}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jeanie is picking out clothing from her closet. She has 5 pairs of pants, 6 shirts, and 4 pairs of shoes to choose from. How many different ways can she arrange her outfit for the day?
Enter the total number of outcomes in the box, without units
Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statement about the estimate is true?
The value will be greater than 1 because 4.296 times 10 Superscript 11 is a very large number and multiplication always increases the size of a number.
The value will be greater than 1 because 4 times 2 = 8 and 8 is larger than 1.
The value will be less than 1 because (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14) will be a negative number. All negative numbers are less than one.
The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
The statement that is true about the estimate is that the number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1 (option D).
How to estimate an exponential function?According to this question, Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14).
This expression can be mathematically written as:
(4.296 × 10¹¹) (1.8614 × 10-¹⁴)
The result of this expression is 7.996 × 10-³, which is value less than 1.
Therefore, the number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.
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Statistics from 2003 to 2013 indicated that, in the United States, women were earning approximately ______ cents for every dollar earned by men.
The answer for the fill in the blank is 80
Statistics from 2003 to 2013 indicated that, in the United States, women were earning approximately ___80___ cents for every dollar earned by men.
please answer algebra question. will mark brainliest
answers:
1. 9
2. 12
3. 18
4. 36 sq cm
Answer:
9 sq cm
Step-by-step explanation:
If you join the two triangles it will become a square of side 3cm.
3cm * 3cm = 9cm squared.
Hope you have a nice day :)
Any questions please comment.
x^(2)-5x+6=(x+h)^(2)+k solve for k
The value of k is [tex]-h^2 -2xh -5x + 6[/tex]
How to solve the expressionGiven;
x^(2)-5x+6=(x+h)^(2)+k
Expand the expression on the right side, we have
[tex]x^2 - 5x + 6 = (x+ h) (x+ h) + k[/tex]
[tex]x^2 -5x + 6 = x^2 +xh + xh + h^2 +k[/tex]
Collect like terms
[tex]x^2 -5x + 6 = x^2 + 2xh + h^2 + k[/tex]
[tex]x^2 -5x + 6 -x^2 - 2xh -h^2 = k[/tex]
We then have
[tex]-5x + 6 -2xh -h^2 = k[/tex]
[tex]k = -h^2 -2xh -5x + 6[/tex]
Thus, we have k as [tex]-h^2 -2xh -5x + 6[/tex]
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What is the length of the circles radius?
Answer: D. 8 cm.
Step-by-step explanation:
[tex]l_{arc}=\frac{26}{9}\pi \ cm\ \ \ \ \Theta=65^0 \ \ \ \ \ r=?\\\boxed {l_{arc}=2\pi r*\frac{\Theta^0}{360^0} }\ \ \ \ \ \Rightarrow\\\boxed {r=\frac{{l_{arc}}*360^0}{2\pi *\Theta} }.\\r=\frac{\frac{26}{9}*\pi *360^0 }{2\pi *65^0} =\frac{13*360^0}{9*65^0} =\frac{40}{5}=8 \ (cm).[/tex]
Please help!! Which of the following graphs shows a parabola with a vertex of (1,-9) and solutions of (-2,0) and (4,0)?
The graphs show a parabola with a vertex that has Roots are -2 and 4.
We have given that,
vertex of (1,-9) and solutions of (-2,0) and (4,0).
What is the formula for the roots?
y=k*(x+2)(x-4)
Vertex = (1,-9) is a point of the parabola
-9=k*(1+2)(1-4) implies k=1
Equation of the parabola is y=(x+2)(x-4).
The graphs show a parabola with a vertex that has Roots are -2 and 4.
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Alden is registering for classes next semester. he uses the quantitative reasoning process to decide between two teachers, dr. alvarez, and dr. bareno . he speaks to 17 friends that previously took the course from dr. alvarez and also speaks to 18 friends that took it from dr. bareno. eight of his friends said they highly recommend dr. alvarez. eleven of his friends highly recommend dr. bareno.
Based on quantitative reasoning, Alden should take the classes from Dr. Baeno in his next semester.
Quantitative Reasoning Behind Choosing Dr. Baeno
Alden talked to 17 friends that previously took course from Dr. Alvarez.
Eight out of 17 friends recommended Dr. Alvarez.
∴ The fraction of his friends in favor of Dr. Alvarez = 8/17
Also, Alden talked to 18 friends who took course from Dr. Baeno.
Eleven out of 18 friends recommended Dr. Baeno.
∴ The fraction of his friends in favor of Dr. Baeno = 11/18
Making Comparison
Now, since we know that,
11/18 > 8/17
The capacity for using knowledge and mathematics to address problems in the real world is known as quantitative reasoning.
Hence, applying quantitative reasoning, we can infer that it is more favorable for Alden to take classes from Dr. Baeno.
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What is the gradient of the graph shown?
Answer:
gradient = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0-(-6)}[/tex] = [tex]\frac{2}{0+6}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Factor out the GCF. Use the distributive property to write an equivalent
expression for 8d-16f.
The equivalent expression for the given expression is 8(d - 2f)
Greatest common factor (GCF)From the question, we are to factor out the GCF
The given expression is
8d - 16f
The GCF of the terms in the expression is 8.
∴ 8d - 16f = 8(d -2f)
The factored form of the expression is 8(d - 2f)
Hence, the equivalent expression for the given expression is 8(d - 2f)
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Given quadrilateral ABCD and its image under a dilation centered at the origin, find the scale factor. (note: orange is original image)
The scale factor of the image under a dilation centered at the origin is 2.
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Let us assume that quadrilateral ABCD have vertices at A(2, 1) while its image has vertices at A'(4, 2), hence:
Scale factor = 4/2 = 2/1 = 2
The scale factor of the image under a dilation centered at the origin is 2.
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Try It #2
A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was36,800. Assume this trend continues.
b. Identify the year in which the population will reach 54,000.
Answer:
The year in which population will be 54000, is 2020.
Step-by-step explanation:
In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .
It is required to identify the year in which population will be 54000 . equation.
Step 1 of 2
The population in 2008 was 28200 and in 2012 it was, 36800 .
The equation relating population and year is,
[tex]$$\begin{aligned}&y-28200=\left(\frac{36800-28200}{2012-2008}\right)(x-2008) \\&y-28200=\left(\frac{8600}{4}\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$$[/tex]
Step 2 of 2
The year in which population will be 54000 , can be determined by substituting 54000 for y,
[tex]54000-28200=2150(x-2008)$\\ $25800=2150(x-2008)$\\ $x-2008=12$\\ $x=2020$[/tex]
A circle has a center at Left-parenthesis 8 comma 2 right-parenthesis.. The point Left-parenthesis 3 comma 7 right-parenthesis. is on the circle. What is the area of the circle to the nearest tenth of a square unit?
The area of the circle is 157.14 square unit.
What is a Circle ?A circle is a round shaped figure , whose all points lie in the same plane and the distance between the center and any point on the circle is same.
It is given that , For Circle
Center is ( 8 , 2)
Point on the circumference is ( 3 , 7)
The distance between these point will give the radius
r = [tex]\rm \sqrt { (3-8)^2 + ( 7-2)^2[/tex]
r = √50 unit
The area of the circle is given by
A = π r²
A = π * (√50 )²
A = π * 50
A = 50 π
A = 157.14 square unit
Therefore the area of the circle is 157.14 square unit.
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A simple random sample of size individuals who are currently employed is asked if they work at home at least once per week. Of the employed individuals surveyed, responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
The confidence interval of employes individuals from home
Construction of hypothesis:
0.10 - 0.047 < p < 0.10 + 0.047
A simple random sample size n = 250 . Of the 250 employed individuals surveyed,42 responded that they did work home a minimum of once per week.
Construct 99% confidence interval for population
For proportion : 42 / 250 = 1/10 = 0.16
Mean = 2.5 * sqrt [ 0.1 * 0.9 / 250]
= 2.5 * 0.01
= 0.47
Construction of hypothesis:
0.10 - 0.047 < p < 0.10 + 0.047
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Find side x, giving your answer to 1 decimal place.
7 cm
81°
X
40°
In the given diagram, the value of the side labelled x is 10.8 cm
Law of sinesFrom the question, we are to determine the value of side x
Using the law of sines
In any given triangle XYZ,
[tex]\frac{x}{sinX}=\frac{y}{sinY}=\frac{z}{sinZ}[/tex]
Thus,
In the given triangle,
[tex]\frac{x}{sin81^\circ} =\frac{7}{sin40^\circ}[/tex]
∴ [tex]x=\frac{7 \times sin81^\circ}{sin40^\circ}[/tex]
x = 10.75599
x ≈ 10.8 cm
Hence, the value of the side labelled x is 10.8 cm
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Please help me. Due today. Please show work so I can get it correct!!!!
Applying the inscribed angle theorem, the value of x in the circle is: 126°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of the inscribed angle, 63° is one-half of the measure of central angle, x, as shown in the circle given.
Therefore, we would have the following equation:
1/2(x) = 63
x = 2(63)
x = 126°
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PLEASE QUICKLY!!!
The length of a rectangular frame is represented by the expression 3x + 6, and the width of the rectangular frame is represented by the expression 3x + 4. Write an equation to solve for the width of a rectangular frame that has a total area of 120 square inches.
The width of the rectangle is 10 inches
How to determine the width?The given parameters are:
Length = 3x + 6
Width = 3x + 4
Area = 120
The area of a rectangle is
Area = Length * Width
So, we have:
(3x + 6) *(3x + 4) = 120
Expand
9x^2 + 12x + 18x + 24 = 120
Evaluate the like terms
9x^2 + 30x - 96 = 0
Using a graphing calculator, we have:
x = 2
Substitute x = 2 in Width = 3x + 4
Width = 3 * 2 + 4
Evaluate
Width = 10
Hence, the width of the rectangle is 10 inches
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is x + 3 a factor of f(x)=x^4+6x^3+5x^2-15x-2
x+3 is not a factor of f(x)=x^4+6x^3+5x^2-15x-2 because there is a remainder of 7 when we use the long division method to divide x+3 with the given function f(x).
What are the factors of a quadratic equation?The factors of a quadratic equation are the simplified form of the quadratic equation, that if multiplied together, results in the original quadratic equation.
Given that:
f(x)=x^4+6x^3+5x^2-15x-2[tex]\mathbf{=\dfrac{x^4+6x^3+5x^2-15x-2}{x+3} }[/tex]
[tex]\mathbf{=x^3+3x^2-4x-3+\dfrac{7}{x+3} }[/tex]
x+3 is not a factor of f(x)=x^4+6x^3+5x^2-15x-2 because there is a remainder of 7 when we use the long division method to divide x+3 with the given function f(x).
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The endpoints of the
directed line segment AB
are A (1,7) and B(5, 15).
Find the coordinates of point
P along AB so that the ratio
of AP to PB is 3 to 1.
The coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that the ratio of the two lines is 3:1, therefore, we can write,
m:n = 3:1
Also, the coordinate of the endpoints of the line are,
A = (x₁, y₁) = (1, 7)
B = (x₂, y₂) = (5, 15)
Now, Using the Section formula the coordinate of the point P can be written as,
[tex]P = (\dfrac{mx_2+nx_1}{m+n}\ , \dfrac{my_2+yx_1}{m+n})\\\\P = (\dfrac{3(5)+1(1)}{4}\ , \dfrac{3(15)+1(7)}{4})\\\\P = (4, 13)[/tex]
Hence, the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
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4(x + 4) + 6
Simplify algebraic expressions
Answer:
4x+22
Step-by-step explanation:
distribute 4(x+4)
it would become 4x+16+6
16+6 = 22
4x+22
Which equation has a graph that is a parabola with a vertex at (–2, 0)?
The equation of the parabola which has a vertex at (-2,0) is; y = x² +4x +4.
What is the equation of the parabola with vertex (-2,0)?From the task content, it follows that the vertex of the of the parabola described by the graph in discuss is given by the point; (-2,0).
Hence, the vertex form of the equation is;
y = (x-(-2))² +0
Hence, the equation is; y = x² +4x +4.
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Answer: B
Step-by-step explanation:
Edge 2023
In the following diagrams calculate the
sides marked with letters x and y.
All dimensions are in cm.
Answer:
x=7.48 cm, y=6.94
Step-by-step explanation:
Start by finding the value of x.
Using the Pythagorean Theorem, [tex]13^{2}+x^{2} =15^{2}[/tex]
[tex]169+x^{2} =225\\x^2=56\\x=\sqrt{56}\\x=2\sqrt{14}[/tex]
Using this, we can again use the Pythagorean Theorem to find the value of y.
[tex]2.8^{2} +y^{2} =(2\sqrt{14} )^{2} \\7.84+y^{2} =56\\y^{2} =48.16\\y=\sqrt{48.16}[/tex]
(I rounded to two decimal places, not sure what is required here)
x=7.48 cm
y=6.94 cm
A right triangle has side lengths AC = 7 inches, BC = 24
inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
A) mZA= 46.2°, mZB=43.8°, mZC=90°
B) mZA= 73.0°, mZB= 17.0°, mZC = 90°
C) mZA 73.7°, mZB= 16.3°, mZC = 90°
D) mZA 74.4°, mZB= 15.6°, mZC = 90°
Therefore, the measures of the angles in triangle ABC is as follows:
m∠A 73.7°, m∠B = 16.3°, m∠C = 90°How to find angles of right triangle?The measure of the angles in the right triangle can be found as follows:
Using trigonometric ratios,
sin ∅ = opposite / hypotenuse
sin ∅ = 7 / 25
∅ = sin ⁻¹ 0.28
∅ = 16.2602047083
∅ = 16.3°
Hence,
m∠B = 16.3°
m∠C = 90°
m∠A = 180 - 90 - 16.3 = 73.7°
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A transitional matrix answers two questions: Where did people who are now in each job category come from, and _____.
A transitional matrix answers two questions:
Where did people who are now in each job category come from,
and where did people who were in each job category go?
The term "transition matrix" is used in various contexts of mathematics. In linear algebra, it is sometimes used to represent changes in a coordinate matrix. In Markov chain theory, it is used as an alias for a stochastic matrix, a matrix that describes a transition.
The transition matrix P is regular if there are only positive entries in the power of P. If the transition matrix is regular, a Markov chain is a normal Markov chain. For example, if you take the power of the matrix D in succession, the entry for D will always be (or will be) positive.
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Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest tenth.
C=60, a=120ft, b=66ft
Answer:
c=104.1 ft
Step-by-step explanation:
Law of Cosines
c^2 = 66^2 + 120^2 - 2 (66)(120)cos 60
c = 104.1 ft
PLEASE HURRY!!!!!!!
The manager of a local cable TV company wants to know which of its programs are most popular. Which population should the manager survey to best answer this question?
A. Employees of the cable company.
B. Subscribers to the cable company.
C. Adults listed in the town’s voter registration lists.
D. People who complete a survey on the company’s Web site.
Answer:
B
Step-by-step explanation:
cable subscribers
A plane flying horizontally at an altitude of 1 mile and a speed of 570 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 3 miles away from the station. (Round your answer to the nearest whole number.)
The rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.
We assume the station to be at point A.
The plane when directly over the station, takes point C.
As it is flying horizontally continuously at an altitude of 1 mile, AC = b = 1 mile.
The plane flies continuously, and when it is at a distance of 3 miles from the station, it is at point B.
The distance between the plane and the station of 3 miles can be shown as AB = c = 3 miles.
The movement of the plane from C to B can be shown as BC = a.
Now, from the given case, we get a right triangle ABC.
By Pythagoras' Theorem,
a² + b² = c² ... (i).
or, a² + 1² = 3²,
or, a² = 9 - 1 = 8,
or, a = 2√2 miles.
We are told that the plane is moving at a speed of 570 miles/hour.
This can be shown as, da/dt = 570 miles/hour.
As the plane is moving horizontally, the vertical distance between the plane and the station doesn't change, that is, db/dt = 0.
In the question, we are asked to find the rate at which the distance from the plane to the station is increasing, that is, we are asked to find dc/dt.
Differentiating (i), with respect to time t, we get:
2a(da/dt) + 2b(db/dt) = 2c(dc/dt).
Substituting values of a = 2√2 miles, b = 1 mile, c = 3 miles, da/dt = 570 miles/hour, and db/dt = 0, we get:
2(2√2)(570) + 2(1)(0) = 2(3)(dc/dt),
or, 2280√2 + 0 = 6(dc/dt),
or, dc/dt = 380√2 miles/hour = 537.40 miles/hour ≈ 537 miles/hour.
Thus, the rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.
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millimeters =equals 15centimeters 4millimeters
This shows that 154mm is equivalent to 15centimeters 4millimeters
Conversion of unitsUnits are measure of a quantity. From the given question, we are to convert 15cm4mm to millimeters
Since 10mm =1cm, hence;
15cm4mm = (15 * 10) + 4
15cm4mm = 150+ 4
15cm4mm = 154mm
This shows that 154mm is equivalent to1 5centimeters 4millimeters
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please help me asap thank you so so much u are so amazing!!
Answer:
7.76
Step-by-step explanation:
0.22×20=4.4
3.36(base amount ,average of the others)+4.4=7.76
Suppose that a classroom has 4 light bulbs. The probability that each individual light bulbs work is 0. 6. Suppose that each light bulb works independently of the other light bulbs. What is the probability that none of the 4 light bulbs work?.
Answer:
0.0256 or 16/625 or 2.56%
Step-by-step explanation:
The problem states that each light bulb operates independently of the other, so the probability doesn't change for each light bulb based on how many other light bulbs are working.
The probability of each light bulb working is 0.6 out of 1. However, we want the probability of it being broken.
1 - 0.6 = 0.4
This is the probability of one light bulb being broken. But there are 4 lightbulbs.
We can multiply 0.4 by itself 4 times, as the probability stacks.
0.4 * 0.4 * 0.4 * 0.4 = 0.0256 (Also achieved by raising 0.4 to the power of 4)
To get the percentage, multiply it by 100. 2.56%
0.4 is equal to 40% or 40/100. If you simply, that fraction is equal to 2/5
2/5 * 2/5 * 2/5 * 2/5 = 16/625 (Also achieved by raising 2/5 to the power of 4)