The probability subset of four is:
Σ(x=1 to 10) (x-1)(20-x-k)C(2) + Σ(x=11 to 17) (20-x)(x+k-2)C(2) / C(20,4)
How to find the probability that difference the largest and smallest numbers in a subset of four different numbers?To find the probability that the difference between the largest and smallest numbers in a subset of four different numbers chosen from 1 through 20 is k, we need to count the number of ways we can choose four numbers such that their difference is k, and then divide by the total number of ways to choose four numbers.
Let's first count the number of ways to choose four numbers such that their difference is k. We can do this by fixing the smallest number, and then counting the number of ways to choose the other three numbers such that their difference is k.
If the smallest number is x, then the largest number must be x+k, and we need to choose two numbers from the remaining numbers (1 through x-1 and x+k+1 through 20) such that their difference is also k.
If x ≤ 10, then there are x-1 numbers less than x, and 20-(x+k+1)+1 = 20-x-k numbers greater than x+k. So the number of ways to choose two numbers with a difference of k is (x-1)(20-x-k).
Therefore, the total number of ways to choose four numbers with a difference of k when the smallest number is x and x ≤ 10 is (x-1)(20-x-k)C(2).
If x > 10, then there are 20-x numbers greater than x, and (x+k-1)-1 = x+k-2 numbers less than x+k. So the number of ways to choose two numbers with a difference of k is (20-x)(x+k-2).
Therefore, the total number of ways to choose four numbers with a difference of k when the smallest number is x and x > 10 is (20-x)(x+k-2)C(2).
Therefore, the total number of ways to choose four numbers with a difference of k is:
Σ(x=1 to 10) (x-1)(20-x-k)C(2) + Σ(x=11 to 17) (20-x)(x+k-2)C(2)
The total number of ways to choose four different numbers from 1 through 20 is C(20,4) = 4845.
So the probability that the difference between the largest and smallest numbers is k in a subset of four different numbers chosen from 1 through 20 is:
Σ(x=1 to 10) (x-1)(20-x-k)C(2) + Σ(x=11 to 17) (20-x)(x+k-2)C(2) / C(20,4)
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Use a property of equality to solve this equation 4.5x=18
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
hope this helps l:-)
Consider the division expression LaTeX: 7\frac{1}{2}\div27 1 2 ÷ 2. Select all multiplication equations that correspond to this division expression.
Answer:
2 x ? = 7 1/2 and ? x 2 = 7 1/2
Step-by-step explanation:
This is the answer because it didn't show the answer so all you have to figure out is the multiplication problem that goes with the division problem. So 2 x ? = 7 1/2 and ? x 2 = 7 1/2 you don't have to include the answer all you have to include is where the answer will do if you DID have the answer. These two are correct because the multiplication number can go in any order.
I know this might not be the best step-by-step explanation ever but I truly tried but the answer is correct.
Denise buys a tote bag at a gift shop for $12. The same bag is available at Denise's pharmacy for 2/3 the price she paid at the gift shop. Let's say you have enough money to buy 10 bags from the gift shop. How many bags can you buy from the pharmacy with the same amount of money? A.3 B.12 C.15 D.18
Answer:
15
Step-by-step explanation:
The price of the bag at the pharmacy is
2/3 * 12 = 8 dollars
You have enough for 10 at the gift shop
10 * 12 = 120
Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy
120/8 =15
Answer:
the answer is C. it was on my mid-term
Step-by-step explanation:
Please Answer Quickly!!!!!
Divide the following polynomials. Then place the answer in the proper location on the grid. Write your answer in order of descending powers of x. Do not include parentheses in your answer.
(x^5 + y^5) ÷ (x + y)
Answer:
x^4 + x^4 or x^4 - x^3 + x^2y^2 - xy^3 + y^4
Step-by-step explanation:
Given the following scatterplot, if a point was added in the upper left corner with an x-value of 10 and ay-value of 20, what would happen to the value of the correlation coefficient, r?
The upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
The correlation coefficient, r, measures the strength and direction of the linear relationship between two variables. It ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation. In a scatterplot, points that are closer to forming a straight line indicate a stronger linear relationship, while points that are more scattered indicate a weaker linear relationship.
In the given scatterplot, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 would likely introduce an outlier that deviates from the overall pattern of the data. This outlier would be located far away from the other points, potentially causing the scatterplot to become more scattered and less linear. As a result, the linear relationship between the two variables, as measured by the correlation coefficient, r, would likely decrease. This is because the outlier would have a disproportionate influence on the calculation of the correlation coefficient, pulling it closer to 0 or even changing the direction of the correlation, if the outlier introduces a different pattern to the data.
Therefore, adding a point in the upper left corner with an x-value of 10 and a y-value of 20 to the given scatterplot would likely decrease the value of the correlation coefficient, r.
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Suppose two firms are deciding how much of a good to produce. The inverse demand function is p(y1 + y2) = 100 − 2(y1 + y2). Suppose further that the two firms have production costs of c1(y1) = 2y1 and c2(y2) = 4y2, respectively.
1. Suppose that Firm 1 gets to choose output y1 first, and then Firm 2 gets to decide y2 after observing y1 (the Stackelberg case). What are the equilibrium production choices yˆ , yˆ ? What profit does each firm make?
2. Suppose now that Firm 1 and Firm 2 choose outputs simultaneously. What are the equilibrium production choices yˆ , yˆ ? What profit does each firm make? Which firm is better off, and which firm is worse off in this setup than the Stackelberg case above?
In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78) and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case.
1. In the Stackelberg case, let Firm 1 choose output y1 first, and then Firm 2 decides y2 after observing y1. Firm 1 is the leader and Firm 2 is the follower. Thus, the optimization problem for Firm 2 is as follows:
Max p(y1 + y2) * y2 - c2(y2), where y1 is chosen by Firm 1.
Thus, the profit function of Firm 2 is Π2(y1, y2) = (100 − 2(y1 + y2))y2 − 4y2
= (100 − 2y1 − 2y2)y2
Differentiating with respect to y2, we obtain:
∂Π2(y1, y2) / ∂y2 = 100 − 2y1 − 4y2
Setting this equal to zero, we obtain:
50 − y1 = 2y2
Thus, Firm 2's best response function is: yˆ2(y1) = (50 − y1)/2
Now, Firm 1 knows that Firm 2 will choose yˆ2 given that it already chose y1.
Firm 1 chooses y1 to maximize its own profit, which is:
Π1(y1) = (100 − 2(y1 + yˆ2(y1)))y1 − 2y1
= (100 − 2y1 − 25 + 0.5y1)y1
= (75 − 1.5y1)y1
Differentiating with respect to y1, we obtain:
∂Π1(y1) / ∂y1 = 75 − 3y1
Setting this equal to zero, we obtain:
y1 = 25
Thus, yˆ1 = 25, and yˆ2 = (50 − y1)/2 = 12.5.
The profit of Firm 1 is Π1(y1) = (75 − 1.5y1)y1 = 562.5, and the profit of Firm 2 is
= Π2(y1, y2)
= (100 − 2y1 − 2y2)y2
= 156.25.2.
In the simultaneous-move case, the optimization problem for Firm 1 is as follows:
Max p(y1 + y2) * y1 - c1(y1) - c2(y2)
Similarly, the optimization problem for Firm 2 is: Max p(y1 + y2) * y2 - c1(y1) - c2(y2)
These two problems can be combined into a single problem by substituting
p(y1 + y2) = 100 − 2(y1 + y2) and
c1(y1) = 2y1 and c2(y2) = 4y2.
Thus, the profit function of each firm is:
Π1(y1, y2) = (50 − y1 − y2)y1Π2(y1, y2) = (50 − y1 − y2)y2
The first-order conditions for maximizing these profit functions are:
= ∂Π1(y1, y2) / ∂y1
= 50 − 2y1 − y2
= 0
∂Π2(y1, y2) / ∂y2 = 50 − y1 − 2y2 = 0
Solving these equations simultaneously, we obtain:
y1 = 16.67, y2 = 16.67, and Π1(y1, y2) = Π2(y1, y2) = 277.78.
Comparing this to the Stackelberg case, we see that both firms are worse off in the simultaneous-move case. In the Stackelberg case, Firm 1 has a higher profit (562.5 > 277.78), and Firm 2 has a lower profit (156.25 < 277.78) than in the simultaneous-move case. Thus, Firm 1 is better off in the Stackelberg case, and Firm 2 is worse off.
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here is the 4rth one to do
The correct option is; Yes, all the three expressions are equivalent to each other.
What is meany by the term exponent?A number's exponent signifies how many times a number has been multiplied by itself. For instance, 2×2×2×2 can be written as 2⁴, because 2 is multiplied on its own four times. In this case, 2 is referred to as the "base," and 4 is referred to as the "exponent" as well as "power." In general, xⁿ denotes that x has been multiplied by itself n times.For the given question;
The three expressions are given as;
a: 20(1.1ˣ) ...1
b: 20(1.1⁻¹)⁻¹ˣ
Simplifying as;
= 20(1.1⁻¹⁽⁻¹ˣ⁾)
= 20(1.1ˣ) ....2
c: 20(1.1¹/⁵)⁵ˣ
Simplifying.
= 20(1.1¹/⁵⁽⁵ˣ⁾)
= 20(1.1ˣ) ....3
So, a = b = c
Thus, all three expressions are equivalent to each other.
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i need to find the value of X
Answer:
62°
Step-by-step explanation:
180°-68.5°-49.5°=62°
Answer:
x=62
Step-by-step explanation:-
In a triangle, angle sum property(ASP) is 180
x+68.5+49.5=180
x+118=180
x=180-118
x=62
Hope it helps you!
Some please help you will get brainiest if it’s right
Answer:
Step-by-step explanation:
a=graph
b= x=2
The sum of 32 and 48 can be expressed in different ways using the Distributive Property.
The sum of 32 and 48 can be expressed in different ways using the Distributive Property as 8(4 + 6).
What is Distributive property?The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).
x(a+b) = xa + xb,
The sum of 32 and 48 can be expressed in different ways using the Distributive Property as,
8(4 + 6)4(8 + 12)2(16 + 24)Hence, the sum of 32 and 48 can be expressed in different ways using the Distributive Property as 8(4 + 6).
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Please help me with my Geometry HW! I need to get it done.
The volume of the given cuboid will be 11.34 m³.
The volume V of a cuboid is given by the formula:
V = l x w x h
where l, w, and h are the length, width, and height of the cuboid, respectively.
In this case, the length is 1.5 m, the width is 2.1 m, and the height is 3.6 m. So we have:
V = 1.5 x 2.1 x 3.6
Simplifying the right-hand side, we get:
V = 11.34 cubic meters
Therefore, the volume of the cuboid is 11.34 cubic meters.
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What is the y-intercept of 2x y =- 3?
The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).
What is the y-intercept of the given equation?The slope-intercept formula is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the equation in the question
2x - y = -3
First, we solve form for y and reorder in slope intercept form.
2x - y = -3
Subtract 2x from both sides
2x - 2x- y = -3 - 2x
- y = -3 - 2x
Divide each term by -1
y = 3 + 2x
Reorder in slope intercept form
y = 2x + 3
To find the y-intercept, replace x with zero and solve for y
y = 2(0) + 3
y = 3
Therefore, the y-intercept is 3.
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Write an equation in point slope form of the line graphed below. (Use the right hand point)
Answer:
y+1=1/2(x-1)
Step-by-step explanation:
The point is (1,-1) and the slope is 1/2, so you plug in the number in the blanks y-___=___(x-___). The y in the first the slope in the second and the x in the third.
The equation is in slope-intercept form y = -x/4 -3/4
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A graph of the line.
Assuming the graph measurement is 1 unit.
Then we interpreted two points (-1, 1) and (3, 0).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 1 = (-1/4)(x + 1)
y - 1 = -x/4 -1/4
y = -x/4 -3/4
Therefore, the equation is y = -x/4 -3/4
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Raise to the power:
\((-2abx)^{4}\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ \)
\(16 {a}^{4} {b}^{4} {x}^{4} \)
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use the same regression results where you already found r square and other results for this regression. what is the standard error for the estimated slope of the regression line? answer to four decimal places.
A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.
What is regression ?
Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).
Based on a line of best fit, linear regression determines the linear relationship between two variables.
The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..
In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.
Hence, A regression model can only predict values that are lower or higher than the actual value.
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please help???????? ASAP
Answer:
The answer is 9
Step-by-step explanation:
You each exponent to get 81/9. You simplify and it gives you 9.
Answer:
The answer is 9
Step-by-step explanation:
if u multiply by the exponents
3^4=81
3^2=9
then divide 81÷9=9
Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
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Please help I need the answer
Step-by-step explanation:
(i) Here in ∆ AED and ∆ CEB ,
ang . DAE = ang. BCE AD = BC ang. AED = ang. BECHence by AAS congruence congruence condition ,
∆AED \(\cong \) ∆CEBAlso ,
AE = CE . . . . . (i) BE = DE . . . . . (ii)==========================================
(ii) In ∆ AEB and ∆CED ,
AE = CE BE = DE ang. DEC = ang. AEB ( vertically opposite angles)Hence by SAS condition ,
∆AEB \(\cong \) ∆CED===========================================
(iii) Here ,
ang BAC = ang. DCASince these two angles are alternate interior Angles and equal . Hence the lines will be parallel . Also since ∆AEB is congruent to ∆CED , the corresponding sides will be equal . Hence AB = CD .
Hence Proved !The cost of a call was $1.00
Before you can multiply two matrices together, the number of ___ in the first matrix must equal the number of rows in the second matrix.
Before you can multiply two matrices together, the number of COLUMN in the first matrix must equal the number of rows in the second matrix.
What is matrix ?The entries of a matrix are a rectangular array of numbers (or other mathematical objects). Standard operations like addition and multiplication can be performed on matrices. A matrix over a field F is often just a rectangular array of F's constituent elements. Real and complex matrices are those whose entries are real or complex numbers, respectively.
The entries or elements of the matrix are its numbers, symbols, or phrases. In a matrix, the terms "rows" and "columns" refer to the horizontal and vertical rows of entries, respectively.
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50 point! Look at the picture attached. I will mark brainliest!
Answer:
22°
Step-by-step explanation:
Triangle KJL ≅ Triangle MJL (RHS)
[JL = JL(common), KL = LM(given), angle KLJ = angle MLJ(given)]
we come up to the conclusion that 4x + 6 = 3x + 10
x = 4
∴angle KJL = 4(4) + 6 = 22°
Consider function g. Which function could be the inverse of function g? PLEASE HELP !
Answer:
Step-by-step explanation:
The correct answer is B .
Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles
Answer:
3 : 1
Step-by-step explanation:
Given that :
Total Marbles in bag = 44
Color of marbles in bag : red, green
Number of red marbles = 11
The ratio of green to red marbles :
Number of green marbles :
(Total marbles in bag - number of red marbles)
(44 - 11) = 33 green marbles
Hence, ratio of green to red Marbles:
Number of green marbles : number of red marbles
33 : 11
3 : 1
Answer:
The correct answer is 2:1.
Step-by-step explanation:
I did the K12 assignment and is said this was the right answer.
+ -/7 points SPreCalc7 2.4.039 + Ask Your Teacher My Notes 13. An object is dropped from a high cliff, and the distance (in feet) it has fallen after t seconds is given by the function d(t) = 16t2. Complete the table to find the average speed during the given time intervals. d(b) - d(a) t = a Average speed t = b 9 9.5 9.1 9 9.01 9.001 9.0001 9 Use the table to determine what value the average speed approaches as the time intervals get smaller and smaller. Is it reasonable to say that this value is the speed of the object at the instant t = 9? Explain. From the table it appears that the average speed approaches ft/s (rounded to the nearest whole number) as the time intervals get smaller and smaller. It reasonable to say that this number is the --Select-- speed of the object at the instant t = 9. Submit Answer
The average speed during a given time interval can be found by calculating the change in distance over the change in time, or (d(b) - d(a))/(b-a). In this case, we can use the given function d(t) = 16t^2 to find the distance at each given time. It is reasonable to say that this value is the speed of the object at the instant t = 9 because as the time interval approaches zero, the average speed approaches the instantaneous speed at that moment.
For the first time interval, t = a = 9 and t = b = 9.5:
d(a) = 16(9)^2 = 1296
d(b) = 16(9.5)^2 = 1444
Average speed = (1444 - 1296)/(9.5 - 9) = 148/0.5 = 296 ft/s
For the second time interval, t = a = 9 and t = b = 9.1:
d(a) = 16(9)^2 = 1296
d(b) = 16(9.1)^2 = 1324.96
Average speed = (1324.96 - 1296)/(9.1 - 9) = 28.96/0.1 = 289.6 ft/s
For the third time interval, t = a = 9 and t = b = 9.01:
d(a) = 16(9)^2 = 1296
d(b) = 16(9.01)^2 = 1300.9616
Average speed = (1300.9616 - 1296)/(9.01 - 9) = 4.9616/0.01 = 496.16 ft/s
For the fourth time interval, t = a = 9 and t = b = 9.001:
d(a) = 16(9)^2 = 1296
d(b) = 16(9.001)^2 = 1296.288016
Average speed = (1296.288016 - 1296)/(9.001 - 9) = 0.288016/0.001 = 288.016 ft/s
For the fifth time interval, t = a = 9 and t = b = 9.0001:
d(a) = 16(9)^2 = 1296
d(b) = 16(9.0001)^2 = 1296.0288016
Average speed = (1296.0288016 - 1296)/(9.0001 - 9) = 0.0288016/0.0001 = 288.016 ft/s
As the time intervals get smaller and smaller, the average speed approaches 288 ft/s.
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PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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How much time will it take for the laptop to receive one mtu-size (1500 byte) packet?
The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.
Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.
First, let's convert the packet size from bytes to bits:
Packet size = 1500 bytes
1 byte = 8 bits
1500 bytes * 8 bits/byte = 12000 bits
Now, we need to divide the packet size by the network speed to calculate the time:
Time = Packet size / Network speed
For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:
Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds
Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.
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How do I even do this...
Answer:
x = 2 ± \(\sqrt{15}\)
Step-by-step explanation:
x² - 4x - 11 = 0 ( add 11 to both sides )
x² - 4x = 11
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = 11 + 4
(x - 2)² = 15 ( take square root of both sides )
x - 2 = ± \(\sqrt{15}\) ( add 2 to both sides )
x = 2 ± \(\sqrt{15}\)
prime, incorporated, purchases $100,000 in construction machinery on january 1, year 1. the useful life is estimated to be 8 years, and the residual value is estimated to be $20,000. if the company uses the double-declining-balance method, the asset will reach its residual value in the ____ year.
If the company uses the double-declining-balance method, the asset will reach its residual value in the 9th year. We can find the solution in the following manner.
Under the double-declining-balance method of depreciation, the depreciation rate is twice the straight-line rate, and the book value is multiplied by the depreciation rate each year. The formula for calculating the depreciation expense is:
Depreciation expense = (2 / Useful life) x Book value at the beginning of the year.
In this case, the construction machinery has a useful life of 8 years and a cost of $100,000 with a residual value of $20,000. Therefore, the depreciable base is $80,000 ($100,000 - $20,000).
To calculate the depreciation expense for the first year, we use the formula:
Depreciation expense = (2 / 8) x $100,000 = $25,000
The book value at the beginning of year 2 is:
Book value = Cost - Accumulated depreciation
Book value = $100,000 - $25,000 = $75,000
To calculate the depreciation expense for year 2, we use the same formula:
Depreciation expense = (2 / 8) x $75,000 = $18,750
We continue to calculate the book value and depreciation expense for each year until the book value reaches the residual value of $20,000.
Year 1:
Book value = $100,000 - $25,000 = $75,000
Year 2:
Book value = $75,000 - $18,750 = $56,250
Year 3:
Book value = $56,250 - $14,063 = $42,187
Year 4:
Book value = $42,187 - $10,547 = $31,640
Year 5:
Book value = $31,640 - $7,910 = $23,730
Year 6:
Book value = $23,730 - $5,932 = $17,798
Year 7:
Book value = $17,798 - $4,450 = $13,348
Year 8:
Book value = $13,348 - $2,337 = $11,011
Year 9:
Book value = $11,011 - $1,674 = $9,337
Therefore, the asset will reach its residual value in Year 9.
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Sophie needed to get her computer fixed she took it to the repair store the technician at the store worked on the computer for four hours, and charged her $
127 for parts the total was $227 write and Solve an equation which can be used to determine X the cost of labor per hour
Answer:
Equation:
4x + 127 = 227
The per-hour cost for labor, x, was $25 per hour.
Step-by-step explanation:
We want to find the cost of labor for each hour. They worked on her computer for 4 hours. The per hour cost of labor we don't know, so we can call it x.
The repair shop charges x dollars per hour.
So the total LABOR charge is 4x.
The whole cost is:
Whole_Cost
= LABOR + PARTS
We know the whole cost, $227.
We know the parts, $127.
227 = 4x + 127
To solve, subtract 127
100 = 4x
divide by 4
25 = x
The cost per hour for labor is $25per hour.
Line x is parallel to line y. Line z intersects lines x and y.
1/2
4/3
5/6
8/7
Determine whether each statement is Always True, Sometimes True, or Never True.
Always True Sometimes True Never True
m2 1 + m 24 = 180°
m2 5 - m2 7 = 0°
ZIY
22 28
m22-23= m_1-m24
ооооо
OOOOO
ооооо
The ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.
What is Coordinate System?Arrangement of reference lines or curves used to identify the location of points in space is called coordinate system.
Line x is parallel to line y.
Line z intersects lines x and y.
∠1+∠4=180 degree is always true.
∠5-∠7=0 is always true because the two angles are true.
z⊥y is sometimes true.
∠2≅∠8 is always true because the two angles are congruent.
∠2-∠3=∠1-∠4 will be sometimes true.
Hence, the ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.
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