If P is the incenter of A JKL, find each measure. K 10 M P 7 17 32" 22' L
Answers
Although part of your question is missing, you might be referring to this full question: If P is the incenter of ΔJKL, find each measure (triangle as attached).
Based on the property of incenter, the measurements of the sides and the angles will be:
JK = 21.2 units
KL = 26.63 units
JL = 28.33 units
m∠K = 36°
By using the property of incenter:
PM = PN = PO = 7 units
∠MJP = ∠OJP = 32°
∠NLP = ∠OLP = 22°
By using the triangle sum theorem,
m∠JKL + m∠KLJ + m∠LJK = 180°
2(m∠NKP) + 2(m∠NLP) + 2(m∠MJP) = 180°
2(m∠NKP) + 2(22°) + 2(32°) = 180°
2(m∠NKP) = 180° - 108°
m∠NKP = 36°
Then, from ΔJMP,
tan(32°) = MP/MJ
tan(32°) = 7/MJ
MJ = 7/tan(32)°
MJ = 11.20
And from ΔPOL,
tan(22°) = OP/OL
tan(22°) = 7/OL
OL = 17.33
And from ΔKNP,
tan(36°) = NP/KN
tan(36°) = 7/KN
KN = 9.63
Hence, JK = MJ + MK = 21.2 units
KL = LN + KN = 26.63 units
JL = JO + OL = 28.33 units
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Related Questions
prove that if a decimal number is divisible by 3 if and only if the sum of its digits is divisible by three
Answers
if a decimal number is divisible by 3 if and only if the sum of its digits is divisible by three is evident and proved below.
Let n be a decimal number.
Assume n is divisible by 3.
lets consider n in terms of its digits as
n = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0
where m is the number of digits in n and d_1, d_2, ..., d_m are its digits.
Substituting n = 3k into the above equation, we get
3k = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0
Subtracting 3k from both sides of the equation, we get
0 = d_1 * 10^(m-1) + d_2 * 10^(m-2) + ... + d_m * 10^0 - 3k
Adding 3k to both sides of the equation, we get
3k = d_1 * 10^(m-1) + d
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Suppose U1, U2, ..., Un are independent random variables and for every i = 1, ..., n, Ui has a uniform distribution over [0, 1].
(a) Find the probability density function of M = max(U1, ..., Un). (We solved the case n = 2 in class. This a generalization.)
(b) Define Z = min(U1, ..., Un). Find the c.d.f. and the p.d.f of Z. (Hint: write the event {Z > z} in terms of random variables U1, ..., Un.)
Answers
The probability density function will be expressed as f_M(x) = n * x^(n-1) and cumulative density function is f_Z(z) = n * (1-z)^(n-1).
To find the probability density function of M, we need to find the probability that M takes on a particular value x, which is equal to the probability that all of the random variables U1, ..., Un are less than or equal to x. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is less than or equal to x. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is less than or equal to x is simply x. Therefore, the probability that M takes on a particular value x is equal to x^n.
This means that the probability density function of M is given by:
f_M(x) = n * x^(n-1)
for x in the range [0, 1].
For the second part of the question, we want to find the cumulative distribution function (c.d.f.) and probability density function (p.d.f.) of Z = min(U1, ..., Un). We can find the c.d.f. of Z by finding the probability that Z is less than or equal to a particular value z. This is equal to the probability that all of the random variables U1, ..., Un are greater than or equal to z. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is greater than or equal to z. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is greater than or equal to z is simply 1-z. Therefore, the probability that Z is less than or equal to z is equal to (1-z)^n.
This means that the cumulative distribution function of Z is given by:
F_Z(z) = (1-z)^n
for z in the range [0, 1].
To find the probability density function of Z, we can differentiate the cumulative distribution function with respect to z. This gives us:
f_Z(z) = n * (1-z)^(n-1)
for z in the range [0, 1].
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students with above-average scores on exam 1 in stat 001 tend to also get above-average scores on exam 2. but the relationship is only moderately strong. in fact, a linear relationship between exam 2 scores and exam 1 scores explains only 36% of the variance of the exam 2 scores.
Answers
The correlation between Exam 1 scores and Exam 2 scores is r = .6
The standard mistake of the relapse is the typical distance that the noticed qualities tumble from the relapse line. For this situation, the noticed qualities fall a normal of 4.89 units from the relapse line. Variance is a proportion of how information focuses varies from the mean. As indicated by Layman, a difference is a proportion of how far a bunch of information (numbers) is fanned out from their mean (normal) esteem. Fluctuation means to track down the normal distinction of deviation from real worth. Hence, the correlation between Exam 1 scores and Exam 2 scores is r = .6
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Julia's frogs are 2/5 of the amount of Rimma's frogs. If Rimma gives 1 /2 of her frogs to Julia, what will be the ratio of Julia's frogs to Rimma's frogs?
Answers
The Ratio of Julia’s frogs to Rimma’s frogs will be 9:5
What is ratio?A ratio in mathematics demonstrates how many times one number is present in another.
For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Ratio = [tex]\frac{1^{st} element}{2^{nd} d element}[/tex]
Let Rimma’s frog = x
So, Julia's frog = [tex]\frac{2x}{5}[/tex]
Rimma gives [tex]\frac{1}{2}[/tex] of her frog to Julia
Therefore, rimma left with [tex]\frac{x}{2}[/tex]
Ratio = [tex]\frac{Julia's frog}{Rimma's frog}[/tex]
[tex]=\frac{\frac{2x}{5} +\frac{x}{2} }{\frac{x}{2} } \\=\frac{\frac{9x}{10} }{\frac{x}{2} }\\=\frac{9}{5}[/tex]
Therefore, ratio will be 9:5
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Find two numbers m and n such that m+n =5 and mn=4
Answers
m+n = 5
4+1 = 5
mn = 4
(4)(1) = 4
m+n, or in this case:
4+1
is equal to 5
mn or
4•1=4
So, the 2 numbers could be 4 and 1
what is the volume of a cylinder if the diameter equals 3 feet and the length equals 12 feet?; volume of sphere; volume of cylinder; volume of cone; surface area of a cylinder; volume formula; volume of a cylinder calculator; volume of hollow cylinder
Answers
The volume of cylinder is 84.82 cubic feet
In this question, we have been given for a cylinder the diameter equals 3 feet and the length equals 12 feet.
We need to find the volume of a cylinder.
From given data,
diameter d = 3 feet
So, radius r = d/2
r = 1.5 ft
length of cylinder (h) = 12 ft
The formula for the volume of a cylinder is,
V = π * r² * h
V = π * 1.5² * 12
V = π * 2.25 * 12
V = 84.82 cubic feet
Therefore, the volume of cylinder with the diameter equals 3 feet and the length equals 12 feet is 84.82 cubic feet
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a one sided confidence interval bounding the high side is desired for the true average stray-load loss (in watts) for a certain induction motor when the line current is held at 10 amps for a speed of 1500 rpm. assume that the stray-load loss population is normally distributed with standard deviation = 2. Compute a one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71. Give your answer accurate to three decimal pointsPlease show steps with out excel or calculators I use tables only
Answers
using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.
The standard normal distribution table is used to calculate the critical value for this problem.
The critical value at 99% confidence level is 2.576.
The formula for the one-sided confidence interval is given by:
Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n))Therefore, the one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71 is:
Upper Bound = 71 + (2.576 * 2/sqrt(86))
Upper Bound = 71 + (1.41)
Upper Bound = 72.41
The one-sided 99% Confidence Interval for mu when n = 86 and X_Bar =71 is calculated by using the standard normal distribution table to find the critical value of 2.576, and then using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.
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Which is an example of the commutative property of addition?
A. 4+(1+2)=(4+1)+2
B. 2+2=3+1
C. 2+3=2+4
D. 4+3=3+4
Answers
The example of the commutative property of addition is option (D) 4 + 3 = 3 + 4
The commutative property of the addition states that changing the order of the numbers or the variable does not affect the result of sum
The commutative property of addition is
A + B = B + A
Here the position of the variable A and B are changed but still the result is same
From the given option
The example that shows the commutative property of addition is
4 + 3 = 3 + 4
Here the position of the 3 and 4 changed, but the result will be
7 = 7
Therefore, the correct example is option D) 4 + 3 = 3 + 4
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NO LINKS!! Please help me with these graphs. (NOT Multiple choice)
a. Show the end behavior
b. Shape the graph near the near x-intercepts.
1. p(x)= 2/3(3x - 6)(x + 2) (x - 3)^2
2. p(x) = (x - 3)^2 (x + 2) (2x + 7)^2
3. p(x) = (x - 5)(x + 2) (x - 1) - 30
Answers
Answer:
[tex]\begin{aligned}\textsf{1.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{2.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{3.} \quad \textsf{As}\;\; &x \rightarrow - \infty,\;\;f(x) \rightarrow - \infty\\ \textsf{As}\;\; &x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty \end{aligned}[/tex]
Step-by-step explanation:
Root Multiplicity
Odd multiplicity → the graph will cross the x-axis at the root.
Even multiplicity → the graph will touch the x-axis at the root (but will not cross the x-axis).
Question 1Given function:
[tex]p(x)= \dfrac{2}{3}(3x - 6)(x + 2)(x - 3)^2[/tex]
Therefore:
Degree: 4 (even)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow + \infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The x-intercepts of a function are when f(x)=0.
Therefore, the x-intercepts are:
x = -2 with multiplicity 1x = 2 with multiplicity 1x = 3 with multiplicity 2Therefore, the graph of the given function has 3 turning points.
Begins in quadrant IICrosses the x-axis at x = -2Crosses the x-axis at x = 2Touches the x-axis at x = 3Ends in quadrant IQuestion 2Given function:
[tex]p(x)=(x - 3)^2 (x + 2) (2x + 7)^2[/tex]
Therefore:
Degree: 5 (odd)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The x-intercepts of a function are when f(x)=0. Therefore, the x-intercepts are:
x = -3.5 with multiplicity 2x = -1 with multiplicity 1x = 3 with multiplicity 2Therefore, the graph of the given function has 4 turning points.
Begins in quadrant IIITouches the x-axis at x = -3.5Crosses the x-axis at x = -2Touches the x-axis at x = 3Ends in quadrant IQuestion 3Given function:
[tex]p(x)=(x - 5)(x + 2)(x - 1)-30[/tex]
Therefore:
Degree: 3 (odd)Leading coefficient: positiveEnd behaviors:
[tex]\textsf{As}\;\; x \rightarrow - \infty,\;\;f(x) \rightarrow -\infty[/tex]
[tex]\textsf{As}\;\; x \rightarrow +\infty,\;\;f(x) \rightarrow + \infty[/tex]
The graph has 2 turning points.
Begins in quadrant IIITurning points at x ≈ -0.7 and x ≈ 3.4Crosses the x-axis at x ≈ 5.8Ends in quadrant Iwhat is 1.35 as a fraction; what is 175 as a decimal; 13 as a decimal; 0.13 as a decimal; 1.35 as a decimal; 15.5% as a decimal; 1 3/5 as a decimal; 1.35 as a fraction in simplest form
Answers
1.35 as a fraction in simplest form is written as 27/20.
A fraction, which is expressed in the form p/q, where p and q are both integers, denotes a portion of a whole.
To convert 1.35 to a fraction, do the following:
Write the decimal number split by 1 first as follows:
1.35/1
Since the numerator has two digits after the decimal point, we must multiply the numerator and denominator by 102 to get 100, removing the decimal point.
1.35 × 100/ 1 × 100 = 135/100
Because 135 and 100 have 5 in common, we may simplify the fraction to show the same amount: 135 5/100 5 = 27/20.
We can also phrase 1.35 as an improper fraction since the numerator exceeds the denominator.
Therefore, 1.35 as a fraction in simplest form is written as 27/20.
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please help i need it!
thank you!!
Answers
Step by step
First we find the rate of change
According to the chart, For every ounce it costs .88 so .88/1 is your rate. You can call it .88 cents per 1 ounce.
So .88 x weight = cost $
Your equation is
.88w = 2.07
Divide both sides by .88 to solve for w
.88/.88 w = 2.07 / .88
w = 2.35
2.35 ounces weight of large envelope
Since we know .88 for 1 ounce, we can check our work and multiply .88 x 2.35 ounces
.88 x 2.35 = $2.07
Problem solved!
John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?w(w – 2) = 48w(w + 2) = 482w(w – 2) = 482w(w + 2) = 48
Answers
The equation to solve the width of rectangle created by John from 48 square centimetre tiles is w(w+2) = 48
and the greatest width in centimetres use for mosaic is 6 cm.
We have given that
John wants to create a mosaic of rectangular shape.
total area of tile(A) = 48 square centimetre
let l and w be length and width of rectangle
length of rectangle is 2 cm longer than width then length of rectangle (l) =( w+2) cm
Area oa rectangle (A) = l × w
=> (w+2) × w = 48
=> w²+ 2w = 48
which is quadratic equation , solve it
w² + 2w - 48 = 0
=> w² - 6w + 8w - 48 = 0
=> (w-6) (w+8) = 0
=> w = 6, -8
Hence, the required equation is w(w+2) = 48 and width of rectangle is 6cm.
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The function gives the cost, in dollars, to produce a particular product, where C(z) is the cost, in dollars. to produce units of the product. The function M defined by M (a)=C(+1) Cla) cives the marginal cost in dollars, to produce un number + 1 Which of the following gives the best estimate for the marginal cost in dollars, to produce the 57th unit of the product? CAT C C'(56) DC) - C(86)
Answers
The best estimate for the marginal cost in dollars, to produce the 57th unit of the product is C'(57) - C'(56). This is also known as the difference in cost between producing the 57th unit and the 56th unit, and is represented by the expression C'(57) - C'(56).
The marginal cost of producing a particular unit of a product is the cost of producing that unit minus the cost of producing the previous unit. So to find the marginal cost of producing the 57th unit of the product, you can subtract the cost of producing the 56th unit from the cost of producing the 57th unit.
This means that the best estimate for the marginal cost of producing the 57th unit of the product is given by:
M(57) = C(57) - C(56)
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How far away is the ball from Amaya when it is at its maximum height?
Answers
The distance of the ball away from Amaya at Maximum height is; 18 feet
What is the maximum height of the projectile?Given the projectile equation as;
y = -0.02(x - 18)² + 12 to model the horizontal distance of a ball from Amaya's position.
We want to find out how far away is the ball from Amaya when it is at its maximum height.
The model takes the form of a parabolic equation and as such, the maximum height is obtained at the Vertex :
The general vertex form of the equation of a parabola is;
y = a(x - h)² + k
With maximum height obtained at the Vertex (h, k)
From the model given, we can say that;
Coordinate at the Vertex : (h, k) = (18, 12)
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Complete question is;
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y = -0.02(x - 18)² + 12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height?
I need help with this problems i dont understand what they are asking
Answers
Answer: #48 <FBE
Step-by-step explanation:
evaluate 5^2 i need this quiick
Answers
5^2 = 5 * 5 = 25
Therefore, 5^2 = 25.
Answer:
25
Step-by-step explanation:
[tex]5^{2}[/tex] = 5x5 = 25
Which angle has a positive sine and a negative cosine?
Answers
The angle with a positive sine and negative cosine among the options is [tex]\frac{3\pi }{4}[/tex]
What is an obtuse angle?
Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°: Zero angle is an angle measured equal to 0°: Complementary angles are angles whose measures have a sum equal to 90°:
All obtuse angles usually have positive sine and negative cosine.
Amongst all the options [tex]\frac{3\pi }{4}[/tex] is the only obtuse angle . which if you convert to degrees
using π rad = 180 degrees, 3/4 x 180 you get 135°
In conclusion [tex]\frac{3\pi }{4}[/tex] is the angle with a positive sine and negative cosine.
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A teacher prepares 12 assignments for her 2 students.
How many different ways can the assignments be assigned if and only if one assignment assigned to each student?
Answers
The ways the assignments can be assigned to the students with the condition is 66 ways
How to determine the ways the assignments can be assigned to the students?From the question, we have the following parameters that can be used in our computation:
Total number of questions, n = 12
Total numbers of students, r = 2
The number of ways the assignments can be assigned to the students is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 12 and r = 2
Substitute the known values in the above equation
Total = ¹²C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 12!/10! * 2!
Evaluate
Total = 66
Hence, the number of ways is 66
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help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 191.3
Step-by-step explanation:
In 2005: x=2005-1998=7
y=123.1(1.065)^7
= 191.3
A rectangle is 4 feet longer than it is wide. If the area of the rectangle must be less than or equal to 672 square feet, find the possible values for the width .
Answers
The possible values for the width of rectangle are 24 and -28.
What is area of rectangle?
The area of a rectangle formula. Area of a Rectangle is A = l × b. Once the length and width of a rectangle are known, the area can be calculated. The area of the rectangle is calculated as a square unit by multiplying the length and width.
Let x is the width of rectangle.
As given a rectangle length is 4 feet longer than it is wide.
⇒ l = 4 + x
Since,
Area of rectangle = length x width
672 = (4 + x) x x
672 = 4x + x^2
x^2 + 4x - 627 = 0
To find the value of x we can use the quadratic formula.
Here a = 1, b = 4, c = -672
[tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\x = \frac{-4+-\sqrt{4^2-4(1)(-672)} }{2(1)} \\x = \frac{-4+-\sqrt{2704} }{2} \\x = \frac{-4+-52}{2} \\x = -2+-26[/tex]
⇒ x = -2 + 26, x = -2 - 26
⇒ x = 24, x = -28
Hence, the possible values for the width of rectangle are 24 and -28.
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Which of the following best describes a function? A function is any mathematical formula or graph. A function is any mathematical rule. A function is a formula that involves variables. A function is a rule that for each input has at most one output.
Answers
A function is a rule that for each input has at most one output.
Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.
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Determine which integer in the solution set will make the equation true.
3p + 13 = 22
S: {−1, 1, 3, 4}
−1
1
3
4
Answers
The integer in the solution set that will make the equation true is (c) 3
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
3p + 13 = 22
Subtract 13 from both sides of the expression
So, we have the following representation
3p = 9
Divide both sides of the equation by 3
p = 3
Hence, the solution is p = 3
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2.81 as a mixed number
Answers
The mixed number of 2.81 is 2 whole number 81 by 100 or [tex]2\frac{81}{100}[/tex].
What is whole number?
Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The boldface Z is a common way to represent the set of integers in mathematical terms.
Given number is 2.81.
The number 2.81 can be written as 2 + 0.81.
The number of digits after decimal point is 2.
To convert 0.81 into fractional form, divide 81 by 100.
2 + 0.81 = 2 + (81/100)
The mixed number of 2.81 is [tex]2\frac{81}{100}[/tex].
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Which of the following always lie in the triangle?
Answers
Centroid and Incentre always lie inside the triangle.
What is Centroid of a triangle?The centroid is the center point of the object. The point in whereby the three medians of the triangle intersect is called the centroid of a triangle. It is also described as the point of intersection of all the three medians. The median is a line which joins the midpoint of a side and the opposite vertex of the triangle.
What is Incentre of a triangle?
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be described as the point in which the internal angle bisectors of the triangle cross.
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Which of the following is not a regular polygon? A) equilateral triangle
B) square
C) rectangle
D) None of these
Answers
Answer: D.) None of these
Step-by-step explanation: A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular").
b. How much force is needed to push it up the incline (neglect friction)?
Answers
answer to the question is 250 newtons
the answer is actually 200 newtons
Find the solutions of the equation in the interval [−2, 2]. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.)
Answers
The value of x for the given trigonometric function is (15/18)π.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right angle.
As per the given,
secx = (-2√3)/3
1/cosx = -2/√3
cosx = -√3/2
x = 150° = (15/18)π
Thus, x goes into the second quadrant as shown below.
Hence"The value of x for the given trigonometric function is (15/18)π".
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Please help! It’s really hard
Answers
The area of the entire floor is: C. 140 square feet.
How to Find the Area of a Composite Figure?The entire floor of the building given is composed of a trapezoid, rectangle, and a triangle.
Therefore, the area of the entire floor = area of the trapezoid + area of the rectangle + area of the triangle.
The formula are:
Area of entire floor = 1/2(a + b)h + (l × w) + 1/2(b)(h)
The variables are:
Base (a) = 4 ft
Base (b) = 8 ft
Height of trapezoid (h) = 6 ft
Length of rectangle (l) = 10 ft
Width of rectangle (w) = 8 ft
Base of triangle = 6 ft
Height of triangle (h) = 8 ft
Area of entire floor = 1/2(4 + 8)6 + (10 × 8) + 1/2(6)(8)
Area of entire floor = 36 + 80 + 24 = 140 square feet.
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Khalil's mortgage payment was originally $2,760 per month. Now, after refinancing his home loan, Khalil's mortgage payment is $3,036. What is the percent of increase in Khalil's mortgage payment?
Answers
Answer:
it is a 10% increase.
Step-by-step explanation:
3,036 - 2,760 = 276
276/2,760 · 100 = 10%
if the number of data observations is even, the median is generally considered to be the average of the first and last values
Answers
False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.
The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.
At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.
Even Number of Observations :
Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?
wages are 120,240,500,400
we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and
(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.
Therefore, the median is 240+500/2
= 370.
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Complete question
True/false
if the number of data observations is even, the median is generally considered to be the average of the first and last values
