The measure of central location most often reported for annual income and property value data is the mode.
What is the mode?There are three measures of central tendency of a data-set, which are defined as follows:
Mean.Median.Mode.Among those three measures, the mode is the one that gives the observation that appears the most often in a data-set, hence the correct option is given by option a.
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Geometry please help
The value of x in the triangle is 10 units
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
On the triangle, we have the following equivalent ratio
x : 15 = 4 : 6
Express as fraction
So, we have
x/15 = 4/6
This gives
x = 15 * 4/6
Evaluate
x = 10
Hence, the value of x is 10
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Andrea has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 8 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?
Andrea has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8 mph and walks back at a speed of 2 mph, she will spend 72 minutes walking back.
What is Time?This is referred to as the measured period during which an action, process, or condition exists or continues .
'x' rill represent the amount of time spent running in hours, then 3-x represents the time spent walking in hours.
Distance = Speed × time
Distance = 8x
Speed = 2mph
Time = (6-x)hours
Substitute the values
8x = 2 (6-x)
8x = 12 - 2x
10x = 12
x = 12/10 = 6/5
6/5 × 60 = 72minutes.
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Can somebody help me on this please? I can’t tell of its side-angle-side or side-side-side that stands for sas or sss.
Answer: SSS (Side- Side- Side) Congruence Postulate
Step-by-step explanation:
Which quadrilateral has diagonals that are alwaysperpendicular bisectors of each other?1) square 2) rectangle 3) trapezoid4) parallelogram
The quadrilateral with diagonals that are always perpendicular bisectors of each other is a square. Correct option is 1.
In a square, the diagonals bisect each other at right angles, which means they intersect at a 90-degree angle. Moreover, since a square has four congruent sides and four right angles, the diagonals are also congruent. Thus, each diagonal is a perpendicular bisector of the other diagonal, splitting it into two equal segments.
In contrast, a rectangle has diagonals that bisect each other, but they are not always perpendicular. A trapezoid has only one pair of opposite sides that are parallel, and its diagonals do not bisect each other.
A parallelogram has opposite sides that are parallel, but its diagonals do not necessarily bisect each other or intersect at a right angle.
Therefore, the correct answer is a 1 (square).
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The diagram below shows a rectangular prism made up of
inch cubes.
1. How many unit cubes whose dimensions are 3/5 inch fill up the rectangular prism?
_________
2. Find the total volume, in cubic inches, represented in the diagram.
_______ cubic inches
The number of unit cubes whose dimensions are 3/5 inch fill up the rectangular prism is (125/27)abc.
The total volume, in cubic inches, is represented in the diagram n cubic inches.
What is a cube?A cube is a three-dimensional object who has six faces.
Since each side of the unit cube has a length of 1 inch, the number of unit cubes that fill up the rectangular prism is equal to its volume in cubic inches. If the rectangular prism has dimensions a x b x c inches, then its volume is V = abc cubic inches.
Now, we need to find how many unit cubes whose dimensions are 3/5 inch fill up the rectangular prism. First convert the dimensions of the unit cube and the rectangular prism to a common unit, such as inches. Since 1 inch = 5/3 unit cubes, each side of the unit cube has a length (3/5) inch. Therefore, each side of the rectangular prism has dimensions (5a/3) x (5b/3) x (5c/3) unit cubes.
To find the number of unit cubes that fill up the rectangular prism, we can divide its volume (abc cubic inches) by the volume of each unit cube, which is (3/5)³ cubic inches. Thus, the number of unit cubes whose dimensions are 3/5 inch that fills up the rectangular prism is:
(abc) / [(3/5)³] = (125/27)abc
To find the total volume represented in the diagram, we need to add up the volumes of all the unit cubes shown in the diagram. Since we don't know the dimensions of the rectangular prism, we can't calculate its volume directly.
Therefore, the total volume represented in the diagram is n cubic inches.
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Two high schools, A and B, are each trying to raise at least $3,000 for new computers. School A received a $500
donation from the Parents' Club and will sell stuffed bears at $10 each to raise the remaining money. School B received a $1,250 donation from the
Parents' Club and will sell stuffed monkeys for $7.50 each to raise the remaining money.
1) Write an inequality for each school that represents the number of stuffed animals the school must sell to reach their goal.
2) Compare the minimum number of stuffed animals School A and B must sell and determine which school must sell more.
If Two high schools, A and B, are each trying to raise at least $3,000 for new computers. The inequality for each school is : x ≥ 250, x ≥ 233.33.
What is the inequality?1. For School A, the inequality representing the number of stuffed bears they must sell to reach their goal is:
500 + 10x ≥ 3000
10x ≥ 2500
x ≥ 250
Where:
x = number of stuffed bears they must sell.
For School B, the inequality representing the number of stuffed monkeys they must sell to reach their goal is:
1250 + 7.5x ≥ 3000
7.5x ≥ 1750
x ≥ 233.33
Where:
x= number of stuffed monkeys they must sell.
2. To compare the minimum number of stuffed animals each school must sell, we round up the number of stuffed animals for School B to the nearest whole number:
x ≥ 234 for School B
Since 234 > 250, School B must sell more stuffed animals to reach their goal of $3,000.
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In AKLM, KL || NO. Given that MN=15, ML=48, and MO=20, find MK.
MK =
The length of MK is given as follows:
MK = 36.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The similar triangles for this problem are given as follows:
MNO and MKL.
Hence the proportional relationship for the side lengths is given as follows:
15/MK = 20/48
Applying cross multiplication, the length MK is given as follows:
20MK = 15 x 48
MK = 15 x 48/20
MK = 36.
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4) While designing a new dessert menu, the manager of a restaurant offered customers a
coupon in exchange for completing a brief survey about their favorite desserts. 20 of the
customers accepted the offer.
) Is this a random sample of the restaurant's customers?
YES/NO
This is not a random sample of the restaurant's customers.
Why is this not a random sampling ?The offer of a coupon in exchange for completing a brief survey about favorite desserts may bias the sample and result in a non-random sample of the restaurant's customers.
Only those customers who were interested in the coupon may have participated in the survey, which may not be representative of the overall customer population. Additionally, those who chose to participate may have different tastes and preferences compared to those who did not participate.
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2. Which of the following is a decreasing exponential function whose y-intercept is 20?
(1) y=20
20()*
(2) y=20
(3) y=-2x+20
-()*
(4) y=
+20
An exponential function of the form y = 20aˣ can be 20 at the y-intercept
when a = 1.
What is an exponential function?An exponential function in which the independent variable is the exponent.
An exponential function can be written in the form as, y = aˣ, where a is a constant and 'x' is the variable.
We know, the y-intercept is when the value of x = 0.
Therefore, An exponential function of the form y = 20aˣ can be 20 at y-intercept when a = 1.
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2: 0, 2, 5
3: 1, 3, 4
4: 1, 1, 5
5: 0, 6
6: 7
Key: 3|1 means 3.1 What is the mean, and what does it tell you in terms of the problem?
A3.1 feet; The value means the furthest the ball went.
B3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
C4.1 feet; The value means this measurement had the most occurrences.
D4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
The mean of the stem and leaf plot and the meaning of this mean is B. 3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
How to find the mean ?To find the mean, add up all the values of feet that the heavy ball was thrown in the air and then divide by the number of times the ball was thrown.
The mean is therefore :
= ( 20 + 22 + 25 + 31 + 33 + 34 + 41 + 41 + 45 + 50 + 56 + 67 ) / 12
= 465 / 12
= 38. 75 ft
This mean is the value that the typical throw of the ball results in.
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The graph of a piecewise-defined function is shown below.
On the interval
the function is given by the rule , and on the interval the function is given by the rule .
The graph of a piecewise-defined function y=c is a horizontal line reaching height c from the x-axis.
Explain about the piecewise-defined function?A piecewise function is arithmetic that is constructed from bits of various functions across various time intervals.
To determine which of the above intervals (as well as inequalities) -
the data user belongs to before evaluating a piecewise function at each given input.Simply substitute the provided input there in function specification for that specific period after that.Keep in mind that the function is represented by the line y=1 and is from -∞ to 0, or the left side.
Similar to that, the function is y=-1 from 0 to ∞ (doesn't include) .
Hence, the rule provides the function:
y=1, for x≤0,
y=-1, for x>0.
Thus, the graph of a function y=c is a horizontal line reaching height c from the x-axis.
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The complete question is-
The graph of a piecewise-defined function is shown below.
Check the correct option-
On the interval (x≤0, x≤1, x<1, x<0) the function is given by the rule (x= - 1, y= - 1, y=1, x=1), and on the interval (x≥0, x>1, x≥1, x>0) the function is given by the rule (y= - 1, x= - 1, y= 1, x= 1).
Two boys are comparing how fast they are growing Alex is 60 in tall and growing at a rate of 1/4 of an inch every month Leo is 48 in tall and growing at a rate of 1/2 of an inch every month where will they be at the same height
The boys will have same the height after 48 months.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, two boys are increasing with the rate of 1/4 and 1/2 of an inch every month, they have height 60 in and 48 in, will need to find that when will they have equal height,
The height increased in x month of them is given by,
x/4 + 60 or x/2 + 48
Let they have equal height after y months,
y/4 + 60 = y/2 + 48
y/4 = 12
y = 48
Hence, the boys will have same the height after 48 months.
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Derive Linear Equations-Quiz-Level H
The slope of the line is -1/4, So correct option is B.
Describe Slope?It is defined as the ratio of the change in the vertical coordinate (y) to the change in the horizontal coordinate (x) between any two points on the line or curve. The letter m is typically used to indicate a line's slope.
The formula for the slope of a line between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
The slope can be positive, negative or zero, depending on the direction of the line. A positive slope indicates that the line is moving upwards from left to right, while a negative slope indicates that the line is moving downwards from left to right. A slope of zero indicates that the line is horizontal.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1)/(x2 - x1)
Using the coordinates (-4, 2) and (4, 0), we have:
slope = (0 - 2)/(4 - (-4)) = -2/8 = -1/4
Therefore, the answer is option B, -1/4.
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how much 69.9 kg in lbs?
The weight 69.9 kg is equal to approximately 154.32 pounds. This conversion was done using the formula 69.9 kg x 2.20462 lbs/kg = 154.32478 lbs.
We know that 1 kg is equivalent to 2.20462 pounds, which means that we can convert kilograms to pounds by multiplying the weight in kilograms by the conversion factor 2.20462.
So to convert 69.9 kg to pounds, we can use the following formula:
69.9 kg x 2.20462 lbs/kg = ? lbs
Multiplying 69.9 by 2.20462 gives us:
69.9 x 2.20462 = 154.32478
Therefore, 69.9 kg is equivalent to 154.32478 pounds.
Finally, we can round this result to two decimal places to get:
69.9 kg is approximately equal to 154.32 pounds.
So the final answer is that 69.9 kg is equivalent to approximately 154.32 lbs.
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The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph? (–4, 2) (–3, 1) ( –2, 5) ( –1, 2)
The point (- 1, 2) lies on the new graph.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
The graph of f(x) = |x| has been translated left 2 units and up 1 unit.
Now, The function is,
⇒ f (x) = |x|
After translated 2 unit left we get;
⇒ f (x) = |x + 2|
And, After translated 1 unit down we get;
⇒ f (x) = |x + 2| + 1
Now, We can check all the given points as;
For point (- 1, 2);
Put x = -1 , f (x) = 2;
⇒ f (x) = |x + 2| + 1
⇒ 2 = |- 1 + 2| + 1
⇒ 2 = 1 + 1
⇒ 2 = 2
Thus, The point (- 1, 2) lies on the new graph.
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What is multiple intelligences test?
A multiple intelligences test is an assessment that identifies an individual's strengths and weaknesses across different types of intelligence, as defined by Howard Gardner's theory of multiple intelligences.
The test aims to help individuals understand their unique strengths and learning styles, and to guide educators in developing personalized teaching strategies. Multiple intelligences test is an assessment that identifies an individual's strengths and weaknesses across different types of intelligence, as defined by Howard Gardner's theory of multiple intelligences. The test is designed to go beyond traditional IQ tests, which focus on logical-mathematical and linguistic intelligence, and assess a wider range of abilities, such as musical, spatial, bodily-kinesthetic, interpersonal, and intrapersonal intelligence. The test is intended to help individuals better understand their unique strengths and learning styles, and to guide educators in developing more personalized teaching strategies that cater to a diverse range of intelligences.
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PLEASE HELP ASAP‼️‼️ I just need the measurements for s and n
The residents of a city voted on whether to raise property taxes the ratio of a yes votes to no votes was 5 to 4 if there were 4923 total votes how many yes votes were there ?
Answer:
2,735 yes votes
Step-by-step explanation:
First we have too determine the ratio of yes votes to the total number of votes.
We can rationalize thus
If there are 5 yes votes and 4 no votes, the total number of votes = 5+ 4 = 9
So 5/9th of the total votes are yes votes
If the total number of votes = 4923 , number of yes votes = 5/9 x 4923
= 2,735 yes votes ANSWER
We can check to see if our reasoning is correct:
Total number of no votes = 4923 - 2735 = 2188
Yes votes to Nay votes = 2735 : 2188
As a fraction:
2735 / 2188 = 1.25
1.25 = 1 1/4 = 5/4 which is the ratio of yes to no votes and tallies with the question data
The diameter of a circle is 16 meters. What is the circle's circumference? use 3.14
Answer:
50.24
Step-by-step explanation:
c=[tex]2\pi R[/tex]=[tex]d\pi[/tex]=16*3.14=50.24
Find C. Round to the nearest tenth.
Answer:
it is 60
Step-by-step explanation:
you add all the numbers than you round it, the number is 0 so it stays the same, hope it helps, murdle
does this table represent a proportional relationship
Yes, the table represents the proportional relationship.
What is proportional relationship?The proportional relationship between the variables {x} and {y} is such that -
y/x = K {constant}
y = Kx
y₁/x₁ = y₂/x₂ = k
A proportional relationship is represented by a straight line {where K is the slope}. It is concluded from the fact that the equation of the straight line passing through origin is of the form y = mx.
Given is a table as shown in the image.
For a direct or proportional variation -
y₁/x₁ = y₂/x₂ = k {k is constant parameter}
1/2 = 2/4 = k {constant}
1/2 = 1/2 = k {constant}
Therefore, yes, the table represents the proportional relationship.
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what are the angles of the square
Answer:
90, 90, 90, 90
Step-by-step explanation:
This is because a squares angles are ALWAYS 90
Answer: All 90 degrees
Step-by-step explanation:
Find the difference. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
7/8 - 5/7
urgent! (short answers please)
Answer: 9/56
Step-by-step explanation:
1/2 minus (1/8+1/8) I need help can somebody give me advice on this
Answer: 38
Step-by-step explanation:
Subtract 1/8 from 1/2
12 - 18 is 38.
Steps for subtracting fractions
Find the least common denominator or LCM of the two denominators:
LCM of 2 and 8 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8
For the 1st fraction, since 2 × 4 = 8,
12 = 1 × 42 × 4 = 48
Likewise, for the 2nd fraction, since 8 × 1 = 8,
18 = 1 × 18 × 1 = 18
Subtract the two like fractions:
48 - 18 = 4 - 18 = 38
A boat travels about 8 kilometers per hour in
still water. If the boat is on a river that flows at a
constant speed of kilometers per hour, it can
travel at a 8 + r speed of kilometers per hour
downstream and 8 − r kilometers per hour
upstream. On the Chattahoochee river, the
boat can travel 4 kilometers upstream in the
same amount of time it takes to travel 12
kilometers downstream. What is the speed of the
river?
The speed of the river is given as follows:
4 kilometers per hour.
How to obtain the velocity of the river?The lowest speed that can be assumed by the boat is given as follows:
8 - r.
In which r is the speed of the river.
The lowest velocity is of 4 kilometers per hour, hence the speed of the river is obtained as follows:
8 - r = 4
r = 8 - 4
r = 4 kilometers per hour.
Then the maximum velocity is of:
8 + 4 = 12 kilometers per hour.
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This is due tmrw help
The required values are;
(2). x = 88°
(3). x = 5.
What is the interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
Given:
(2). The exterior angle is 52°.
So, the sum of all the interior angles in the polygon = (5 - 2)180
x + (180 - 52) + 2x + x + 2 + 90 = 560
4x + 208 = 560
4x = 352
x = 88
(3). From the diagram of the triangle,
12x - 20 = 2 (3x + 5)
12 x - 6x = 10 + 20
6x = 30
x = 5
Therefore, the values are x = 88 and x = 5.
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math trigonometry question
Hence, combine all the solutions we get,
[tex]x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,[/tex][tex]x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n[/tex].
What are trigonometric identities?Trigonometric identities are equalities which involves trigonometric functions which are true for every value of variables that occur on both sides of the identities.
Given,[tex]3\sin \left(2x\right) = 2\cos \left(x\right)[/tex]
[tex]3\sin \left(2x\right)-2\cos \left(x\right)=0[/tex]
Using trigonometric identities, [tex]sin2x= 2sinx cosx[/tex]
we get,[tex]-2\cos \left(x\right)+6\cos \left(x\right)\sin \left(x\right)=0[/tex]
Taking [tex]2cos(x)[/tex] as factor, we get,
⇒[tex]2cos(x)(3sin(x) -1)[/tex]
⇒[tex]2cos(x) = 0 , (3sin(x) -1)=0[/tex]
⇒[tex]cos (x)= 0[/tex] for x= [tex]x=\frac{\pi}{2} +2n\pi,\frac{3\pi}{2} +2\pi n[/tex] and
[tex](3sin(x) -1)=0 for x= sin^{-1} (\frac{1}{3} )+ 2\pi n , sin^{-1 }(\frac{1}{3})+2\pi n[/tex]
Hence, combine all the solutions we get,
[tex]x=\frac{\pi}{2} +2n\pi,x=\frac{3\pi}{2} +2\pi n ,[/tex][tex]x= sin^{-1} (\frac{1}{3} )+ 2\pi n ,x= sin^{-1 }(\frac{1}{3})+2\pi n[/tex].
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Graphing quadratics find: y = - x^2 + 6x - 4
Axis of symmetry:
Vertex:
With process pls.
Answer:
Axis of Symmetry is 3 or x=5
vertex is (3,5)
Step-by-step explanation:
the vertex is either the highest or the lowest point on a quadratic function's graph, here (3,5) is the highest point, therefore it is the vertex.
Axis of symmetry is usually always the x value of the vertex, that is that in (3,5). 3 is the axis of symmetry. This is because along the line x=5 the graph shows perfect symmetry
please do say thanks.
how much 44f to celcius ?
44 °F was found out to be equivalent to approximately 6.67 °C using conversion formula of Fahrenheit to Celsius.
To convert a temperature from Fahrenheit to Celsius, you can use the following formula:
°C = (°F - 32) x 5/9
where °C is the temperature in Celsius, and °F is the temperature in Fahrenheit.
Using this formula, we can convert 44 °F to Celsius as follows:
°C = (44 - 32) x 5/9
= 12 x 5/9
= 6.67 °C (rounded to two decimal places)
Therefore, 44 °F is equivalent to approximately 6.67 °C.
On the Fahrenheit scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F, at standard atmospheric pressure.
On the Celsius scale, the freezing point of water is defined as 0 degrees Celsius (°C), and the boiling point of water is defined as 100 °C, at standard atmospheric pressure.
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Click to show whether each function is linear or non-linear.
The linear equation is f(x) = 2^2 + x, while the other two functions are nonlinear functions
How to determine the function typesFrom the question, we have the following parameters that can be used in our computation:
The three equations
A linear equation is any equation that has a degree of 1
From the three equations, we can see that
Degree = 1
Degree = 2
Degree = 3
Hence, the linear function is f(x) = 2^2 + x
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