The finite population correction factor is not used when you sample without replacement from less than 5% of a finite population.
When you sample without replacement from more than 5% of a finite population, the Finite Population Correction Factor (FPC) is applied.
The Central Limit Theorem does not apply in this situation, and the estimated standard error (such as the mean or proportion) will be excessive. Basic differences between sampling with replacement and sample without replacement are captured by the FPC.
It is employed to modify a variance estimate for an estimated mean or total in order to limit the scope of the variance to that fraction of the population that is not included in the sample.
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Its Kumon So It Is Very Easy.
Answer: It's kumon?
Step-by-step explanation:
Molly bought 4 band shirts and 3 pair of pants for 159.99 Christian bought 3 band shirts and 2 pair of pants for 113.00. How much is 5 band shirts and 5 pair of pants
Total $234.95 is the cost of 5 band shirts and 5 pair of pants.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given, Molly bought 4 band shirts and 3 pair of pants for $159.99.
And Christian bought 3 band shirts and 2 pair of pants for $113.00.
Let x be the band shirts and y be the pair of pants.
So, according to the question;
4x + 3y = 159.99 equation 1
3x + 2y = 113 equation 2
Now, we have the system of the equations.
In order to solve the system of equations:
Multiply 4 to the equation 2 and multiply 3 to the equation 2.
12x + 9y = 479.97
12x + 8y = 452
Subtracting the transformed equation 2 to transformed equation 1.
y = 27.97
Then 12x = 479.97 - 251.73
12x = 228.24
x = 228.24 / 12
x = 19.02.
To find the amount of 5 band shirts and 5 pair of pants:
5x + 5y
= 5 (19.02) + 5(27.97)
= 95.1 + 139.85
= 234.95
Therefore, 5 band shirts and 5 pair of pants cost $234.95.
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A concentric square and circle intersect at 8 point. In clockwise order, call these points A1,A2,3......A8. The area of A1, A3,A5, A7is 5/8. find A2, A6
A concentric square and circle intersect at 8 points. the area of A2, A6 is (3/4)s²
How to determine the area of A2, A6?Generally, let's call the side length of the square s and the radius of the circle r.
We can set up the following equation:
(s/2)² + (r/2)² = (5/8) * s²
We can rearrange this equation to solve for r:
(r/2)² = (5/8)s² - (s/2)²
Evaluate the exponents
This gives
r²/4 = 5/8s² - s²/4
Multiply through by 4
So, we have
r² = 5/2s² - s²
Evaluate the like terms
This gives
r² = 3/2s²
Take the square roots of both sides
So, we have
r = s√(3/2)
Since A1, A3, A5, and A7 are the vertices of the square, the area of this region is (s/2)²,
When expanded, this gives
Area = 1/4s².
The area of A2, A6 can be found by subtracting the area of A1, A3, A5, and A7 from the area of the entire square.
This gives us:
A2, A6 = s² - (1/4)s²
Evaluate
A2, A6 = (3/4)s²
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Current Attempt in Progress For a process in control, we expect % of the points on a process control chart to fall within the UCL and the LCL e Textbook and Media 0.27 95 Save for Later Attempts: 0 of 3 used Subm 99.73 100
The correct answer is (B) 99.73%..
For a process in control, we expect 99.73% of the points on a process control chart to fall within the upper control limit (UCL) and the lower control limit (LCL).
A process control chart is a tool used in statistics and quality control to monitor and analyze a process over time. It consists of a line graph that plots the measured values of a process variable, such as the temperature or weight of a product, over time. The UCL and LCL are horizontal lines that are drawn on the graph at a predetermined distance above and below the average value of the process variable.
The expected percentage of points within the UCL and LCL is determined by the chosen level of statistical significance and the distribution of the process variable. In this case, the expected percentage of points within the UCL and LCL is 99.73%.
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Complete Question:
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL:
A)0.27
B)99.73
C)100
Russell Slater bought 700 shares of Disney stock at $106.50 per share. Assume a commission of 4% of the purchase price. What is the total cost to Russell?
77532 is the total cost to Russell
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Russell Slater bought 700 shares of Disney stock at $106.50 per share
The amount for 700 shares is 700×106.5
74550
commission of 4% of the purchase price.
We have to convert 4% to decimal value by dividing 4 by 100
0.04
Now multiply 0.04 with 74550 to get the commission
0.04×74550
2982
Now add this commission amount with 74550 to find total cost,
2982+74550
77532
Hence, 77532 is the total cost to Russell
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Which of the following is a polygon answer? give reason
POLYGON
A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit.
TYPES OF POLYGON
Triangle- Has 3 sidesQuadrilateral- Has 4 sidesPentagon-Has 5 sidesHexagon- Has 6 sidesHeptagon-Has 7 sidesOctagon-Has 8 sidesNonagon-Has 9 sidesDecagon-Has 10 sides8Learn more about Polygons at :
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Which set of points includes all of the solutions for y = negative four fifths times x plus two?line going through 0 comma 2 and 5 comma negative 2 a (15, 10), (0, 2), and (−10, 10) b (−10, 10), (−5, 6), (0, 2), (5, −2), (10, −6) c (x, y) for all real numbers d (x, negative four fifths times x plus two) for all real numbers
The set of points includes all of the solutions is (x, - 4/5 x + 2).
What is the solution of an equation?
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given equation is
y = - 4/5 x + 2
The value of x can be any real number.
The value of y is - 4/5 x + 2.
The solution of the equation is (x, - 4/5 x + 2).
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You planted 60 seeds seeds.80% actually grow. how many seeds grew? To word it another way, what is the amount of seeds that grew if 80% of 60% seeds grew?
Answer:
48
Step-by-step explanation:
0.8 * 60 = 48
prove that the composition of two isometries is an isometry and the inverse of an isometry is an isometry.
The composition of two isometries is an isometry.
Proof:
Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'
T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''
T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.
The inverse of an isometry is an isometry.
Proof:
Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'
The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.
But A'B' = AB and so the inverse is an isometry
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what is the result of the following boolean expression, if x equals 5, y equals 3, and z equals 8? not (x < y or z > x) and y < z
False Reason:...This is false if (x=5) (y=3). and denotes the requirement that both be true.
This is true: (z=8) > (x=5) The entire statement is false because it relies on the and condition rather than the OR condition.
What is an example of a Boolean expression?
A Boolean expression(named for mathematician George Boole) is an articulation that assesses to one or the other valid or misleading. Let's take a look at some examples from common speech: Pink is my favorite color. valid • I'm anxious about PC programming. False This book is a laugh-out-loud good read.
Which three Boolean expressions are there?
There are three fundamental Boolean operators: What's more, OR, and NOT.
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you can paint a room in 8 hours. working together, you and your friend can paint the room in just 5 hours. How long does it take your friend to paint a room by himself?
It takes about 13.33 hours for the friend to paint a room by himself.
If two persons are working on the same project together, their work rates add up and they can finish the project faster. If x is the time taken by person 1 to complete a task, then the work rate is 1/x. If y is the time taken by person 2 to complete a task, then the work rate is 1/y. Then, the formula to calculate the work-rate problem is [tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{t}[/tex].
Here, the rate of work done by person 1 is 1/8. Together, the rate is 1/5. Then,
[tex]\begin{aligned}\frac{1}{8}+\frac{1}{y}&=\frac{1}{5}\\\frac{y+8}{8y}&=\frac{1}{5}\\5y+40&=8y\\3y&=40\\y&=\frac{40}{3}\\&=13.33\end{aligned}[/tex]
Therefore, the answer is 13.33 hours.
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Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries. What is the ratio of tablespoons of raspberries to tablespoons of sugar?
8 to 14
8 to 6
6 to 14
6 to 8
The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.
What is ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Calculation of the ratio:
Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.
So here the ration be like
= 8 raspberries tablespoons to 6 tablespoons of sugar
= 8 to 6
hence, the second option is correct.
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In a traditional IRA account, a
$1000.00 investment is taxed at 12%.
In a Roth IRA account, the $1000.00
investment is taxed at 10%. Which
plan reduces the overall tax burden?
A. The Traditional will reduce the tax burden because it's applied at a
higher percentage.
B. Both tax burdens will come out the same since both tax
calculations start with a $1000.00 account.
C. The Roth IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
D. The Traditional IRA reduces the tax burden because its taxes are
calculated in a lower bracket.
C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
b. How much force is needed to push it up the incline (neglect friction)?
answer to the question is 250 newtons
the answer is actually 200 newtons
Which of the following could represent the cost of 7 t-shirts and a $6 tax?A 7n + 6
B 7n − 6
C n + 6(7)
D 7(6) + n
The expression that could represent the cost of 7 t-shirts and a $6 tax is (a) 7n + 6
How to determine the expression?From the question, we have the following parameters that can be used in our computation:
Number of shirts = 7
Tax = $6
Represent the cost of each shirt with n
So, we have the following equation
Total cost = Number of shirts * Cost of each shirt + Tax
Substitute the known values in the above equation, so, we have the following representation
Total cost = 7 * n + 6
Evaluate
Total cost = 7n + 6
Hence, the expression is (a) 7n + 6
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The change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3). Which other expression can be used to represent the change?
Other expression can be used to represent the change in temperature after y minutes is -4y + 12.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
The distributive property is a( b + c) = ab + ac.
Given expression that represents the change in temperature after y minutes for a chemical in a lab can be represented by the expression −4(y − 3).
Given expression is
-4(y - 3)
Applying distributive property:
= -4 × y - (-4)×3
= -4y + 12
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Evaluate g(x) = 3 - 5/6x when X = 12.
Answer:
g(12) = -7
Step-by-step explanation:
g(x) = 3 - 5/6x
g(x) = 3 - 5x/6
g(12) = 3 - 5(12)/6 ==> plug in 12 for x
g(12) = 3 - 5*12/6
g(12) = 3 - 60/6 ==> simplify
g(12) = 3 - 10
g(12) = -7
Answer:
-7
Step-by-step explanation:
g(12) = 3 - [tex]\frac{5}{6}[/tex](12)
g(12) = 3 -10
g(x) = -7
Zachary bought 3 cartons of x eggs. He used 6 to make a cake. He then used the remaining eggs equally to make 2 pies. Draw a bar model to show how many eggs were used in each pie.
Answer:
Step-by-step explanation:
the chi-square test for goodness of fit tests the difference between categories that fall within , and the test for independence tests differences in categories that fall within .
The chi-square test for independence compares the two variables within a sample set to one another, instead of comparing the single observed variable into the theoretical population.
The chi-square takes a statistical look in order to compare the found consequences of the with that of the familiar outcomes. The main goal of this test is to take a statistical view in order to make a distinction between the observed records and the expected facts, is due to the risk present, or if it's miles because of courting the variables that you are studying.
A chi-square test is used to measure the degree of variation between the frequencies which are determined and the expected frequencies according to the hard and fast rules of variables and occasions. Chi-rectangular is used to measure the differences of the nominal variables.
The term, 'independence' refers to the individual's own freedom of doing things, without being affected by other's opinions. As and when, a small child grows up to an adult, he/she tends to make their own decisions and selections. This is one of the example of independence. Realizing the importance of independence is crucial as the people of the nation are its most important assets. The way in which the founders of India has reunited the country into a single state, the same, if followed in USA, this would relieve the country from the chains of caste, sex, religion and exploitation.
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4. Which equation describes the line that
passes through (2, 1) and (0, -5)?
A. Y=1/3x-5
B. Y=3x-5
C. Y=-1/3x-5
D. Y=-3x-5
The equation that describes the line that passes through (2, 1) and (0, -5) is: B. y = 3x - 5.
How to Write the Equation of a Line?To find the equation of a line, find the value of the slope (m) and the y-intercept (b), and plug in the values into y = mx + b.
Given the points:
(2, 1) and (0, -5)
Slope (m) of the line = change in y / change in x = (-5 - 1) / (0 - 2)
Slope (m) = -6/-2
Slope (m) = 3
The y-intercept (b) = -5 (this is because it is the value of y when x = 0).
To write the equation, substitute m = 3 and b = -5 into y = mx + b:
y = 3x - 5
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For which values of x does the expression square root of x+11 make sense?
Answer:
all values greater than or equal to -11
Step-by-step explanation:
For a square root to be a real number, the value under the square root must be positive. Therefore, all values of x must ensure that the value under the square root remains positive.
Answer:
Any real number x ≥ - 11-------------------------------------------
The square root is defined when the expression under the root is not negative.
It is shown as:
x + 11 ≥ 0 ⇒ x ≥ - 11all the edges of a cube are expanding at a rate of 4 in. per second. how fast is the volume changing when each edge is 10in. long?
The rate at which the volume of the cube is changing is 1200 in³/seconds.
What is volume?Volume is the space occupied by a solid object.
To calculate the rate at which the volume of the cube is changing, we use the formula below.
Formula:
dV/dt = (dL/dt)×(dV/dL)................ Equation 1Where:
dV/dt = Rate at which the volume of the cube is changing dL/dt = Rate at which the edge of the cube is expandingdV/dL = Change in the volume of the cube with respect to the edge.From the question,
Given:
dL/dt = 4 in. per secondsL = 10 inIf, the volume of a cube is V = L³,
Then,
dV/dL = 3L² = (3×10²) = 300 in²Substitute these values into equation 1
dV/dt = 4×300dV/dt = 1200 in³/secondsHence, the rate at which the volume is changing is 1200 in³/seconds.
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>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
What is 150% of 32?
Answer: 48
Step-by-step explanation:
[tex]\displaystyle\\\frac{32(150\%)}{100\%} =\\\\\frac{4800}{100}= \\\\48[/tex]
Answer:
48
Step-by-step explanation:
150% = 150/100 = 1.5
Then:
32 * 1.5 = 48
the customer asked the pro shop to string 10 new rackets at 58 psi suppose the two tailed p value forthe test described above is .09
There is sufficient evidence to conclude that μ, the true mean tension of the rackets, is less than 58 PSI.
The customer determined the tension of each racket after receiving them and came up with the following summaries: 0.9 PSI of standard deviation, 58 as the sample mean.
When we choose alpha as 5% = 0.05, it means that we reject the null hypothesis whenever the p value from the hypothesis test is less than this. If not, we will accept the null hypothesis.
You can use a p value as low as 0.05 and still reject the null hypothesis H0.
On calculating the p value we get it as less than 0.05.
Therefore, we will accept the null hypothesis.
Hence , the true mean tension of the racket is 28 psi .
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On January 1, a nasty species of algae is mistakenly introduced into Lake Skinner. It grows in such a way that it doubles every day. If it continues to grow like this, the lake will be totally covered and the fish in the lake will suffocate. At the rate it is growing, this will happen on January 30.
1). When will Lake Skinner be covered halfway?
2). On January 26, you convince your friend that the lake will be completely covered soon. Your friend laughs. Why is your friend skeptical?
3). One January 29 a cleanup crew arrives and is able to remove most of the algae. When they are done on February 1, only 1 % of the surface is covered. How well does this solve the problem in Lake Skinner?
Answer: If the algae in Lake Skinner doubles every day, then on the 15th day (halfway between the 1st and 30th) the lake will be covered halfway.
If the algae doubles every day, then on January 26 it would have only doubled six times, meaning it would only cover 1/64 of the lake's surface. This is why your friend may be skeptical that the lake will be completely covered soon.
The cleanup crew's efforts on January 29 were able to remove most of the algae, but by February 1 only 1% of the lake's surface was still covered. This means that while the problem has been greatly reduced, it is not completely solved and there may still be some risks to the fish in the lake. Continued monitoring and efforts to prevent future algae blooms may be necessary to fully protect Lake Skinner.
Step-by-step explanation:
Resources that are available in limited quantities on the earth are called ___________
Resources that are available in limited quantities on the earth are called Exhaustible resources.
The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.
Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.
Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.
Coal, petroleum, and Forests are examples of exhaustible natural resources.
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in the transformation abc a'b'c', the preimage of b' is ____. type the answer in the space provided.; point v(-2, 4) is translated using the rule (x, y) โ (x, y โ 4). where is the image, vโ, located?; point w 5 6 is reflected across the line y x which of the following is the location of its image w; pre- image x 2 1 y 4,-3 z 3,2 image x 2 1 y 4,-3 z 3,2; isometry; transformations in math
In the transformation of triangle abc, the pre-image of b' is b.
It's a triangle denoted as abc. abc is changed so that the resulting image is a'b'c''. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.
Corresponding vertices will be matched in all transformations. In other words, a will change to a'', b to b', and c to c''. Preimage of b' would just be b itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.
Note that the correct question is:
In the transformation ABC A'B'C', the preimage of B' is ____.
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Among all smooth, simple closed curves in the plane, oriented counterclockwise, find one along which the work done by the following vector is greatest. 4 4 Hint: Find the region where (curl F).k>0. What is the curve along which the work is greatest?
Work done by the vector is 11π/16.
We know that,
the given closed curve in the plane is,
F(x,y) = [tex](\frac{x^{2}y }{4} + \frac{y^{3} }{3} )[/tex] i+xj
Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.
Let S be the interior of C.
Let P = [tex]\frac{x^{2}y }{4} +\frac{y^{3} }{3}[/tex] and Q = x
so the partial differentiation is,
[tex]\frac{dP}{dy} = \frac{x^{2} }{4} + y^{2}[/tex] and [tex]\frac{dQ}{dx}[/tex] = 1
By the Green's theorem work done by F is given as,
W = ∫ F dr
W = ∫∫ ( [tex]\frac{dQ}{dx} - \frac{dP}{dy}[/tex] )dxdy
W = ∫∫ [tex](1 - \frac{x^{2} }{y} -y^{2} )dxdy[/tex]
Let C = x² + y² = 1
and x = rcosθ, y = rsinθ ;
0 ≤ r ≤ 1; 0 ≤ θ ≤ 2π
Therefore
W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ) [tex]|\frac{d(x,y)}{dr,0} |[/tex] dθdr
and d(x,y)/d(r,θ) = [cosθ -rsinθ; sinθ rcosθ] = r
Thus
W = ∫∫ (1 - r²cos²θ/4 - r²sin²θ)rdθdr
after solving we get,
W = 11π/16.
Hence the work done along with the vector is 11π/16.
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Can anyone help me pls I would appreciate it
Answer:
t = b + n
Step-by-step explanation:
for the 2 lines to be parallel then their slopes must be equal
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (x₁, a + n ) and (x₂, y₂ ) = (x₂, t ) ← 2 points on line k
m = [tex]\frac{t-(a+n)}{x_{2}-x_{1} }[/tex] = [tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex]
repeat with
(x₁, y₁ ) = (x₁, a ) and (x₂, y₂ ) = (x₂, b ) ← 2 points on line j
m = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]
equating the 2 slopes gives
[tex]\frac{t-a-n}{x_{2}-x_{1} }[/tex] = [tex]\frac{b-a}{x_{2}-x_{1} }[/tex]
since the denominators are the same on both sides, then equate the numerators
t - a - n = b - a ( add a to both sides )
t - n = b ( add n to both sides )
t = b + n
