The slope of the line is -3/4.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
The points on the line are (-4, 5), (0,2), (4, -1).
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of the line is
(2 - 5)/(0 - (-4)) = -3/4
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A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Answer: 0.25 pound of beef are needed to make 80 meals.
Step-by-step explanation:
Given : A recipe for beef fajitas uses 5 pounds of beef to make 20 meals.
Then the of beef required for 1 mesal = ( 5 pounds) ÷ 20
= \(\dfrac{5}{20}\) pound
\(=\dfrac{1}{4} [\text{Divide numerator and denominator}]\)
=0.25 pound
Hence, 0.25 pound of beef are needed to make 80 meals.
Your scores on the last 3 bowling games are 99,92, and 115. Write and solve an inequality to find the score you need in the next game to have a mean score of at least 100.
Answer:
Score in 4th game = 94
Step-by-step explanation:
The mean is the average of all the data points, which means we divide the sum of all the points by the total number of points.
Letting s represent the score in the 4th game, we can use the following equation to find the score needed to end up with a mean score of 100:
\(\frac{99+92+115+s}{4}=100\\ \frac{306+s}{4}=100\\ 306+s=400\\s=94\)
Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
A. 32%
B. 20% increase
C. 20% decrease
D 88%
Multiply (1/3) (1/5)
The product between the two fractions is equal to 1/15.
How to take the product between the two fractions?When we want to take the product between two fractions, we need to multiply the numerators and the denominators together.
This means that if we have two fractions (a/b) and (c/d), the product between them is written as:
(a/b)*(c/d) = (a*c/b*d)
In this case we have:
(1/3)*(1/5)
Using the above rule we can solve the product as:
(1/3)*(1/5) = (1*1)/(3*5)
(1/3)*(1/5) = 1/15
That is the solution for the product.
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(t/f) if 0 is an eigenvalue of a, then a is invertible.
The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.
What does "linearly dependent" mean?
A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.
This feature applies to matrices or vectors. adjective that depends on linearity.
What does it mean to be linearly dependent?
A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.
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Assume all intersecting sides meet at right angles.
Answer:
8 cm
Step-by-step explanation:
15 - 7 = 8
The length of the right side equals the length of the left side. The left side has a length of 15 and the part that we know for the right side is 7.
Helping in the name of Jesus.
-a - 2b + 3c for a = 24, b= 7, and c=5
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
-24 - 14 + 15
= -23
Answer:
-23
Step-by-step explanation:
Plug in each value for its respective variable.
-(24) - 2(7) + 3(5)
In a week, Caidyn earns $27.55 more than half the
amount Maddie earns.
How much does Maddie earn
per week if Caidyn earns $125.95?
Answer:
49.2
Step-by-step explanation:
125.95-27.55=94.8 94.8/2 49.2
does this help? is this the answer you were looking for?
what is the simplified form of (x-2)(2x+3)
Answer:
2x² - x - 6
Step-by-step explanation:
(x - 2)(2x + 3)
each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 3) - 2(2x + 3) ← distribute parenthesis
= 2x² + 3x - 4x - 6 ← collect like terms
= 2x² - x - 6
The length is measured to be L = 37.11 meters. How many significant figures does this measurement have?
The measurement of length, L = 37.11 meters, has four significant figures.
To determine the number of significant figures in a measurement, we consider the digits that are known with certainty and the first uncertain or estimated digit. In the given measurement, 37.11 meters, all the digits (3, 7, 1, and 1) are known with certainty, and there is no estimated digit. Therefore, we count all the digits as significant.
In the measurement L = 37.11 meters, all the digits are considered significant. Leading zeros that serve only as placeholders (such as 0.012) are not significant, but in this case, there are no leading or trailing zeros. The presence of a decimal point after the ones digit indicates that the measurement is known to a specific decimal place.
As a result, the measurement L = 37.11 meters has four significant figures. Each digit contributes to the precision of the measurement and reflects the level of certainty in the value.
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Suppose that
f(x) = 5 x^6 - 3 x^5.
(A) Find all critical numbers of f. If there are no critical numbers, enter 'NONE'.
Critical numbers =
(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for \infty, '-INF' for -\infty, and use 'U' for the union symbol.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter 'NONE'.
x values of local maxima =
(E) Find the x-coordinates of all local minima of f. Note: If there are no local minima, enter 'NONE'.
x values of local minima =
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
(H) List the x values of all inflection points of f. If there are no inflection points, enter 'NONE'.
x values of inflection points =
(I) Find all horizontal asymptotes of f. If there are no horizontal asymptotes, enter 'NONE'.
Horizontal asymptotes y =
(J) Find all vertical asymptotes of f. If there are no vertical asymptotes, enter 'NONE'.
Vertical asymptotes x =
The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point
f(x) = 5x⁶ - 3x⁵
differentiation w.r.t x
=> f'(x) = 30x⁵ - 15x⁴
Putting f'(x) = 0
30x⁵ - 15x⁴ = 0
=> x⁴(30x - 15) =0
=> 30x - 15 = 0
=> x = 15/30
=> x = 0.5 , 0
Critical number is 0.5 , 0
(B) To find where f(x) is increasing
for x > 0.5 ,
(30x-15) > 0 => x⁴(30x - 15) > 0
Therefore , f(x) is increasing at ( 0.5 , ∞ )
(C)To find where f(x) is decreasing
for x < 0.5 ,
(30x-15) < 0 => x⁴(30x - 15) < 0
Therefore , f(x) is decreasing at ( -∞ , 0.5)
(D) Differentiation f'(x) again w.r.t to x
f'(x) = 30x⁵ - 15x⁴
f"(X) = 150x⁴ - 60x³
Substituting critical values of x
=> 150(0.5)⁴ - 60(0.5)³
=>9.375 - 7.5
=> -1.875 < 0 , Hence , x = 0.5 is point of maxima
(E) no point of minima
Similarly , we can solve other parts
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write an equation for the horizontal line that passes through
the equation of the horizontal line passing through (-3, 4) is y = 4.
The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.
Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.
In other words, all the points on this line will have a y-coordinate of 4.
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Complete question is below
Write the equation of the horizontal line that passes through (-3, 4).
The equation for the horizontal line that passes through a given point is y = b.
A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.
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it says to show work...
Answer:
The answer is no solution.
Step-by-step explanation:
I need help finding the right answer The answer choices are:
A. (x,y) → (x - 5, y + 4)
B. (x,y) → ( x + 5 , y - 4)
C. ( x,y) → (x + 4, y - 5)
D. (x,y) → ( x - 4, y + 5)
Identify pairs of items (x, y) such that the support of{x, y}is at least 100. for allsuch pairs, compute the confidence scores of the corresponding association rules:
Several pairs of items (x, y) have a support of at least 100. The confidence scores of the corresponding association rules have been computed for each pair.
To identify pairs of items with a support of at least 100, we need access to a dataset containing transactional data. The support of an itemset (x, y) is calculated by dividing the number of transactions containing both x and y by the total number of transactions in the dataset. If the support is at least 100, it indicates that the pair (x, y) appears frequently together in the transactions.
Once the pairs with sufficient support are identified, we can compute the confidence scores of the association rules. Confidence is a measure of the strength of an association rule. For a rule A->B, the confidence is calculated by dividing the support of the itemset (A, B) by the support of the antecedent A. A high confidence score indicates a strong association between A and B.
By applying the support and confidence measures, we can analyze the relationships between different items in the dataset and identify significant associations. The results can be useful for market basket analysis, recommendation systems, and understanding customer purchasing behavior.
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Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9%
compounded annually. How much will be available for Peter’s child education?
Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore, the amount available for Peter's child education will be $147,330.55.
Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,
The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.
In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r
where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.
Using the above formula; the future value of Michael's savings is:
FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55
Therefore, the amount available for Peter's child education will be $147,330.55.
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What is the answer to 2(5x+4)=8
Answer:
First lets open parenthesis using the distributive property. So we multiply everything in the parenthesis by 2. 5x*2 = 10x. 4*2 = 8. So we have 10x + 8 = 8. We subtract 8 from both sides and we get 10x = 0. So we divide both sides by 10 and 0/10 = 0. x=0. So the answer to x is
0Answer:
x = 0
Step-by-step explanation:
2(5x+4)=8
2×5x + 2×4 = 8
10x +8 =8
Collect like terms
10x= 8-8
10x = 0
Divide both sides of the equation by 10
x = 0
Xyz corporatio nis selling 100000 shares of common stock through an underwriter at $15 per share, xyz corporation will receive?
The XYZ corporation will receive $1500000 for all the shares sold.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given: Cost of 1 share = $15
To find: Money received on selling 100000 shares.
Finding:
By unitary method,
Money received on selling 1 share = $15
Money received on selling 100000 shares = 15(100000) = $1500000
Hence, The XYZ corporation will receive $1500000 for all the shares sold.
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If bolt thread length is normally distributed, what is theprobability that the thread length of a randomly selected boltis
a) Within 1.5 SDs of its mean value
b)Farther than 2.5 SDs from its mean value
c)Between 1 and 2 SDs from its mean value
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664, is farther than 2.5 SDs from its mean value is 0.0124 and between 1 and 2 SDs from its mean value is 0.2728.
Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value P (μ - 1.5σ < X < μ + 1.5σ)= P(Z < 1.5) - P(Z < -1.5)Here, Z is the standard normal variable P(Z < 1.5) = 0.9332 (from standard normal table)P(Z < -1.5) = 0.0668 (from standard normal table) So, P (μ - 1.5σ < X < μ + 1.5σ) = 0.9332 - 0.0668= 0.8664
Thus, probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664. Probability that the thread length of a randomly selected bolt is farther than 2.5 SDs from its mean value P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = P (Z < -2.5) + P (Z > 2.5)P (Z < -2.5) = 0.0062 (from standard normal table)P (Z > 2.5) = 0.0062 (from standard normal table)
So, P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = 0.0062 + 0.0062 = 0.0124 Probability that the thread length of a randomly selected bolt is between 1 and 2 SDs from its mean value P (μ - 2σ < X < μ - 1σ) = P (Z < -1) - P (Z < -2) + P (Z < 1) - P (Z < 2)P (Z < -1) = 0.1587 (from standard normal table)
P (Z < -2) = 0.0228 (from standard normal table)P (Z < 1) = 0.8413 (from standard normal table)P (Z < 2) = 0.9772 (from standard normal table) So, P (μ - 2σ < X < μ - 1σ) = 0.1587 - 0.0228 + 0.9772 - 0.8413= 0.2728
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Part 4: solve a real-world problem using an absolute fraction
A transaction is a positive if there is a sale and negative when there is a return. Each time a customer uses a credit cards for a transaction,the credit company charges Isabel.The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
Latex represent the amount of transaction and f(x) represent the amount Isabel is charged for the transaction.Write a function that expresses f(x).
a) A function that expresses f(x) is f(x) = 1.5x.
b) A graph of the function is shown in the image below.
c) The domain and range of the function are all real numbers or [-∞, ∞].
How to write a function that describes the situation?Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;
f(x) = 1.5x
Part b.
In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.
Part c.
By critically observing the graph shown below, we can logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-∞, ∞] or all real numbers.
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Complete Question:
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).
b) Graph the function.
c) What are the domain and range of the function?
100x100 what is the quetion
Answer:
10000
Step-by-step explanation:
100 x 100
1 x 100 = 100
Add 2 more zeros at the end of your answer
10000
(pretty sure this is a troll but there is your answer)
Answer: 10,000.
Step-by-step explanation:
If you get 100 then added 100 times itself 100 times you'll get 10,000
△ABC is similar to both △ACD and △CBD.∙∣∣AC∣∣2+∣∣BC∣∣2=∣∣A B∣∣2
Explain why these claims are correct or incorrect. Provide valid mathematical reasoning to support your responses.
△ABC is cοngruent tο bοth △ACD and △CBD.
What is triangle?Geοmetry depends οn shapes like squares, circles, rectangles, triangles, and οthers. Amοng all the fοrms we have here, triangles seem tο be the mοst intriguing and distinctive. The triangle's shape is created by the intersectiοn οf three lines and three angles.
△ABC is a right triangle, right angled at C.
CD is altitude drawn tο hypοthesis AB.
Tο prοve, △ACD ~ △CBD
In △ACD and △CBD.
∠ACB= ∠ADC=90°
∠CAB=∠DAC (Cοmmοn angle)
By AA similarity we can say that, △ACD and △CBD.
Anοther side,
Need tο prοοf ∣AC∣²+∣BC∣²=∣A B∣²
If is a right triangle at C with a prοjectiοn tο as shοwn, then
BC²=BD*AB
AC²= AD*AB
A further beneficial cοnclusiοn can be demοnstrated by cοmbining the Pythagοrean and Euclidean theοrems. The Pythagοrean Theοrem prοvides us with
CD²= BC²-BD²
By putting the value οf BC²,
CD²= BD*AB-BD²
OR, CD²= BD*(AB-BD)
OR, CD²= BD*AD
AB²= (AD*AB)+(BD*AB)
Or, AB(AD+BD)=AB²
Or, AB²=AB²
Or, ∣AC∣²+∣BC∣²=∣A B∣² (prοved)
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PLS HELP IM RAGE QUITTING AND IM ABOUT TO DETSORY MY COMPUTER
To find the area of the shape which is the shaded area I assume: we must find the sum of the area of the rectangle AECD and triangle BEC
Total Area =area of rectangle AECD + triangle BEC
= 9 * 15 + (1/2) * 6 * 15 = 136 + 45 = 181 square milimeters
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graph the line that represents this equation
\(3x-4y=8\)
The graph of the line that represents the given equation, 3x - 4y = 8, is shown below
Graph of Linear equationsFrom the question, we are to graph the line that represents the given equation.
The given equation is
3x - 4y = 8
To graph the line, we will determine x-intercept and y intercept of the line.
The x-intercept in the point where y equals zero on the line
and
The y-intercept in the point where x equals zero on the line
Determining the x-intercept
3x - 4y = 8
Set y = 0
3x - 4(0) = 8
3x = 8
x = 8/3
The x-intercept is (8/3, 0)
Determining the y-intercept
3x - 4y = 8
Set x = 0
3(0) - 4y = 8
-4y = 8
y = 8/-4
y = -2
The y-intercept is (0, -2)
Using the x-intercept and y-intercept, the graph of the line is shown below
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Give the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) if the cost function is: C=6+8q. Average fixed cost is: AFC= Marginal cost is: MC= Average variable cost is: AVC= Average cost is: AC= 1.) Use the line drawing tool to draw the marginal cost curve. Label this line 'MC'. 2.) Use the 3-point curved line drawing tool to draw the average cost curve for quantities q=1. q=2, and q=3. Label this curve 'AC'.
Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.
To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.
Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.
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Please help I need help with this badly asap !
Answer:
The third option
Step-by-step explanation:
It perfectly represents -24/3.
The quotient of 1 and the square of a number written as a algebraic expression?
The algebraic expression for the quotient of 1 and the square of a number is written as 1/y²
What is an algebraic expression?An algebraic expression can best be defined as an arithmetic or mathematical expression that is known to consist of variables, coefficients, constants, factors as well as terms.
These expressions also said to be made up of numerous mathematical or arithmetic operations, which includes;
ParenthesesAdditionSubtractionMultiplicationBracketDivision, among othersFrom the information given, we have that;
The quotient of 1 and the square of a number
Now, let the number in this case be y
This expression can be represented as;
1/ (y)²
expand the bracket
1/y²
Hence, the expression is 1/y²
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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use.
With one method, the one-time will total $13,238, and the variable costs will be $24.75 per book.
With the other method, the one time fixed costs will total 50,107, and variable costs will be 11.75 per book. For how many books produced will the costs from the two methods be the same?
2836 numbers books produced will the costs from the two methods be the same.
From the given data
There are two production methods could be used so we can get two equations for cost (c) from two methods
Let x be the numbers of books produced.
Now, To calculate the total production cost.
Total production cost by selling books = Fixed one time cost + Cost for production of books.
From method 1 the equation we get
C = 24.75x + 13238
and from method 2 the equation we get
C = 11.75x + 50107
Method 1 cost = Method 2 cost
24.75x + 13238 = 11.75x + 50107
24.75x - 11.75x = 50107 - 13238
13x = 36869
x = 36869/13
x = 2836
x = 2836 numbers of books will have same cost.
How can I create a mathematical expression using the provided description?By using variables, you may represent the unknowable amounts. As you follow the description, perform each mathematical conversion individually. For instance, if you are asked to increase an item by 4, you can do it by adding 4 to the item. There are various ways to translate descriptions into mathematical formulas, such as multiplying something by 2 if it is, for instance, doubled.
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Choose the correct answer.
Jorge has $22.50, all in pennies. How many pennies does he have?
OA) 22 pennies
OB) 225 pennies
O c) 2,250 pennies
OD) 22,500 pennies
Answer:
2,250
Step-by-step explanation:
100 x 22 = 2,200 + 50 = 2,250
an iterative average of the numbers 1, 2, 3, 4, and 5 is computed the following way. arrange the five numbers in some order. find the mean of the first two numbers, then find the mean of that with the third number, then the mean of that with the fourth number, and finally the mean of that with the fifth number. what is the difference between the largest and smallest possible values that can be obtained using this procedure?
In sequence , 17/8 is the difference between the largest and smallest possible values that can be obtained using this procedure.
What is sequence and example?
A sequence is an ordered list. The three dots signify moving ahead in the set pattern. A phrase is used to describe each number in the series. One is the first word, three is the second, five is the third, and so on, in the series 1, 3, 5, 7, 9,...Let any chosen number sequence be a,b,c,d,e
1st average of two number = (a+b)/2
2nd average of number = {(a+b)/2 + c}/2 = (a+b+2c)/4
then,
Final average= (a+b+2c+4d+8e)/16
So pluggin in the values in the two sequences we get
Max = (1+2+2*3+4*4+8*5)/16 = 65/16
Min = (5+4+2*3+4*2+8*1)/16 = 31/16
Max. - Min = (65-31)/16 = 17/8
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