Answer:
the square root of 80 is greater than the square root of 8.1
Step-by-step explanation:
Answer:
8.9 (for 80) and 2.8 (for 8.1) ope this helps you out!
Step-by-step explanation:
What is the minimum number of CEOs that the journalist must survey to be within $50,000 of the true average annual salary? Remember that the z-value associated with a 95% confidence interval is 1.96. (Please enter your answer as an integer; that is, as a whole number with no decimal point.)
The value of Standard Deviation is needed to calculate the minimum sample size accurately. If you have the value of Standard Deviation, you can substitute it into the equation to find the minimum sample size.
To determine the minimum number of CEOs that the journalist must survey to be within $50,000 of the true average annual salary, we need to consider the margin of error in the confidence interval.
The margin of error is determined by the z-value associated with the desired confidence level and the standard deviation of the population.
Given that the z-value associated with a 95% confidence interval is 1.96, we can use the following formula to calculate the margin of error:
Margin of Error = z-value * (Standard Deviation / sqrt(sample size))
To be within $50,000 of the true average annual salary, we can set up the equation:
$50,000 = 1.96 * (Standard Deviation / sqrt(sample size))
Solving for the sample size (number of CEOs):
sqrt(sample size) = (1.96 * Standard Deviation) / $50,000
sample size = (($50,000)^2 * (Standard Deviation)^2) / (1.96)^2
The value of Standard Deviation is needed to calculate the minimum sample size accurately. If you have the value of Standard Deviation, you can substitute it into the equation to find the minimum sample size.
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A catalog with 625 pages has 6 pages with tables.
What percent of the pages have tables?
0.16%
0.96%
1.28%
1.92%
Answer:
0.96%
Step-by-step explanation:
We are looking for the percent that represents "6 out of 625"
Divide to find the decimal answer:
6/625 means
6 ÷ 625
= 0.0096
Then multiply by 100 to change to a percent.
0.0096 × 100
= 0.96%
notation: in this course, we will use regular letters as symbols for numbers, vectors, matrices, planes, hyperplanes, etc. you will need to distinguish what a letter represents from the context. recall the dot product of a pair of vectors and : when thinking about and as vectors in -dimensional space, we can also express the dot product as where is the angle formed between the vectors and in -dimensional euclidean space. here, refers to the length, also known as norm, of : what is the length of the vector ?
The length of a vector 'v' in an n-dimensional Euclidean space is calculated as the square root of the dot product of the vector with itself, or ‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\).
The length of a vector 'v' in an n-dimensional Euclidean space is denoted as ‖v‖ and can be calculated asthe vector's dot product with itself, square root:
‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\)
So, to find the length of the vector 'v', we simply substitute its components in the above equation.
The length of a vector, also known as its magnitude or norm, is a scalar value that represents the magnitude of the vector in a given space. In the context of an n-dimensional Euclidean space, the length of a vector can be calculated as the square root of the dot product of the vector with itself. This calculation is based on the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares formed by the other two sides' lengths.
In mathematical terms, the length of a vector 'v' in an n-dimensional Euclidean space is calculated as follows:
‖v‖ = \(\sqrt{(v.v)}\) = \(\sqrt{(v1^{2}+v2^{2} +.... + vn^{2} )}\)
where 'v' is the vector, and 'v1', 'v2', ..., 'vn' are its components in the n-dimensional space. The dot product of the vector with itself (v · v) is equivalent to the sum of the squares of its components. The square root of this sum is the final length of the vector.
The length of a vector is an important concept in linear algebra and geometry. It is used to measure the distance between two points in a space, to calculate angles between vectors, to normalize vectors, and for various other mathematical and practical applications.
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Find the total area of the compound figure.
6.5 m
14 m
5m
16 m
166
5x6.5=33
16-6.5=9.5
(9.5x14)/2=133
133+33=166
Which statement defines a translation?
OA A translation proportionally stretches or compresses an object based on a given scale factor.
OB. A translation moves points a specified distance along a line parallel to a specified line.
OC. In a translation, each point in the preimage and its corresponding point in the image are at equal distances from a given line.
Also, the line segment joining two such points is perpendicular to the given line.
OD. A translation is when an object moves in a circular arc around a point
the statement which defines a translation is option A that is "A translation proportionally stretches or compresses an object based on a given scale factor".
What is Translation ?
"Translation" moves points the same distance along lines that are parallel to each other.
Translation involves the initial object called the pre-image and the final object called the image. As you can see in the picture above, the rust-colored item represents the pre-image, and the blue item represents the image. Because of the arrow, we can tell the direction in which the image was moved. For other images, you may receive instructions on which image is the pre-image, or you may be asked to find the pre-image from the image.
Reflection, on the other hand, moves points along a specified line in such a way that the line bisects each line segment connecting corresponding pre-image points and image points.
There, the statement which defines a translation is option A that is "A translation proportionally stretches or compresses an object based on a given scale factor".
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Answer:
The correct answer is: A translation moves points a specified distance along a line parallel to a specified line
Step-by-step explanation: I got it right on plato.
Can anyone help me to solve this question....
If Ahmad works at a constant rate, he will take 90 minutes in finishing his exam, and he will finish it at around 1:15 pm.
How long takes Ahmad to answer all the questions?We know that Ahmad answers at a constant rate, and he takes around 1.5 minutes to answer each answer.
The total time that it will take him to answer the 60 questions is equal to the number of questions times the time that it took him to answer each one, then the total time is:
T = (1.5 min)*60 = 90 minutes
So it will take him an hour and a half.
And e know that the exam starts at 11:45 am
After one hour, it will be:
0:45 pm
And after 30 minutes, it will be:
1:15 pm
Ahmad will finish his exam at 1:15 pm.
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Jessica hires ChromaLite Builders Corp. to construct a house. The contract specifies that grade A+ carpeting is to be installed on the entire second floor. ChromaLite Builders accidentally installs grade A carpeting instead. Few people, except for carpeting experts, can tell the difference. Jessica, however, refuses to pay for the construction citing that ChromaLite Builders has breached the contract. Which of the following statements is true in this scenario?a) The courts are likely to consider ChromaLite Builders’s performance as a substantial performance, and Jessica will have to pay something but not the full amount; i.e. she is entitled to monetary damagesb) Jessica has materially breached the contract by refusing to pay ChromaLite Builders; hence, she cannot sue ChromaLite Builders for the use of low-grade carpeting.c) Jessica can claim a breach of contract and refuse to pay ChromaLite Builders for the construction of the house.d) The courts are likely to declare that ChromaLite Builders has materially breached the contract and will ask Jessica to pay exactly half the cost originally mentioned in the contract.e) The courts are likely to consider ChromaLite Builders’s performance as complete performance, and Jessica will have to pay the full amount to ChromaLite Builders.
The correct answer in this scenario is a) The courts are likely to consider ChromaLite Builders's performance as a substantial performance, and Jessica will have to pay something but not the full amount; i.e. she is entitled to monetary damages.
This is because ChromaLite Builders did not fully comply with the contract by installing grade A carpeting instead of grade A+ carpeting, but the difference may not be significant to most people. As a result, the courts are likely to consider this a minor breach of contract and award Jessica some monetary damages but not the full cost of the contract.
It is important to note that if the difference between the two grades of carpeting was significant and clearly stated in the contract, Jessica may have had a stronger case for refusing to pay. However, in this scenario, it seems that the breach of contract was not significant enough to justify a complete refusal to pay.
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twenty-one percent of all light emitting diode (led) displays are manufactured by samsung. what is the probability that in a collection of two independent led hdtv purchases, at least one is a samsung? (round your answer to 3 decimal places.)
The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.
Percent of all LED display manufactured by Samsung = 21%
Probability that at least one purchase is Samsung
= 1 - Probability that both purchases are not Samsung
Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.
The probability that the second purchase is also not Samsung is also 0.79.
Since the purchases are independent,
Multiply these probabilities to get the probability that both purchases are not Samsung,
P(neither is Samsung)
= 0.79 x 0.79
= 0.6241
The probability that at least one purchase is Samsung is,
P(at least one is Samsung)
= 1 - P(neither is Samsung)
= 1 - 0.6241
= 0.3759
Rounding to 3 decimal places, we get,
P(at least one is Samsung) = 0.376
Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.
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Jade buys a blouse and a skirt for 3/4 (fraction) of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
Answer:
$24
Step-by-step explanation:
Original price of blouse = $18
Discounted price of blouse = 3/4 x 18 = $13.50
Discounted blouse + discounted skirt = $31.50
⇒ 13.50 + discounted skirt = 31.50
⇒ discounted skirt = 31.50 - 13.50 = 18
Let S be the original price of the skirt.
If the discounted skirt is 3/4 of it's original price, then
$18 = (3/4) S
S = 18 ÷ 3/4 = 24
Therefore, the original price of the skirt is $24
Walmart is selling bikes for 20% off the regular price for $55. Kmart is selling their bikes for 25% off the regular price of $65. which is a better deal? why?
Answer:
Walmart has the better deal.
Step-by-step explanation:
Hi there!
To solve this question, we could find the final price of a bike from Walmart and Kmart, compare them, and identify which is less.
Walmart
Original price: $55
Deal: 20% off
55 × 0.8 = 11
A bike from Walmart costs $44.
Kmart
Original price: $65
Deal: 25% off
65 × 0.75 = 48.75
A bike from Kmart costs $48.75.
$44 < $48.75, so therefore, Walmart's deal is better.
I hope this helps!
WHAT IS A EQUATION PLEASE HELP!
Answer: 1.5s+20
Step-by-step explanation:
Prove the following statement using a direct proof. For any integers x,y and z, if 3∣(x−y) and 3∣(y−z), then 3∣(x−z)
Given that for any integers x, y, and z, 3 ∣ (x − y) and 3 ∣ (y − z), and we need to prove that 3 ∣ (x − z).
We know that 3 ∣ (x − y) which means there exists an integer k1 such that x - y = 3k1 ...(1)Similarly, 3 ∣ (y − z) which means there exists an integer k2 such that y - z = 3k2 ...(2)
Now, let's add equations (1) and (2) together to get:(x − y) + (y − z) = 3k1 + 3k2x − z = 3(k1 + k2)We see that x - z is a multiple of 3 and is hence divisible by 3.
3 ∣ (x − z) has been proven using direct proof.To summarize, for any integers x, y, and z, 3 ∣ (x − y) and 3 ∣ (y − z), we have proven that 3 ∣ (x − z) using direct proof.
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x - 3y = 17
x = 2y + 13
What are the steps for solving these?
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The second equation gives you an expression for x that can be substituted into the first equation.
(2y +13) -3y = 17 . . substitute for x in the first equation
-y = 4 . . . . . . . . . . . subtract 13 and simplify
y = -4
x = 2(-4) +13 = 5 . . . use the second equation to find the value of x
The solution is (x, y) = (5, -4).
_____
Additional comment
When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...
substitutioneliminationSubstitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).
Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.
The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.
One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.
A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the yard.
>The area is in square meters<
Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _
1. Complete the table with the missing values
Answer:
what did you put for question 2 and 3?
Step-by-step explanation:
2.If the values for length and area are plotted, what would the graph look like?
3.How is the relationship between the length and the area of the rectangle different from other kinds of relationships we’ve seen before?
Simplify each expression. Use positive exponents.
(a / b)⁴
Answer:
\(\frac{a^4}{b^4}\)
Step-by-step explanation:
\(\left(\frac{a}{b}\right)^4\\\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}(Exclude~parentheses)\\\frac{a^4}{b^4}\)
4.) How much distance did the object travel during the entire trip? 5.) How long did the trip take? 6.) What is the average speed for the entire trip?
The total distance travelled by the object during the entire trip is 21.21 units and the average speed of the object for the entire trip is 21.21 units/unit time. Time = 21.21/Average Speed
What is motion?It is known as the process of an object or particle changing its position over time. Motion can be described by equations of motion which allow us to predict and understand the motion of objects and particles in a variety of situations.
The given graph shows the motion of an object starting at point A (15, 5) and ending at point D (0, 30).
The total distance travelled by the object can be calculated using the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √((x2 – x1)² + (y2 – y1)²)
Therefore, the total distance travelled by the object in the graph is:
Distance = √((0 – 15)² + (30 – 5)²)
Distance = √(225 + 225)
Distance = √450
Distance = 21.21 units
The total time taken by the object to travel the given distance can be calculated using the equation:
Time = Distance/Speed
Since the speed of the object is not given, we can calculate the average speed of the object by dividing the total distance travelled by the total time taken.
Time = 21.21/Average Speed
Therefore, the average speed of the object for the entire trip can be calculated as:
Average Speed = 21.21/Time
The time taken by the object to travel the given distance is not given, so we can assume it to be 1 unit.
Therefore, the average speed of the object for the entire trip is:
Average Speed = 21.21/1
Average Speed = 21.21 units/unit time
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Determine the quadrant in which θ lies:
sin θ > 0, cos θ > 0
The given conditions imply that both the sine and cosine of θ are positive. Since the sine is positive, θ could be in the first or second quadrant, where sine is positive.
Similarly, since cosine is positive, θ could be in the first or fourth quadrant, where cosine is positive. Therefore, θ must be in the first quadrant, where both sine and cosine are positive.
To understand why this is the case, we can use the unit circle. The sine of an angle θ is equal to the y-coordinate of the point on the unit circle corresponding to θ, while the cosine of θ is equal to the x-coordinate of that point. Since both sine and cosine are positive, the point corresponding to θ must lie in the first quadrant, where both coordinates are positive.
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determine the equation of the circle graphed below.
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = \(\sqrt{(8-5)^2+(8-5)^2}\)
= \(\sqrt{3^2+3^2}\)
= \(\sqrt{9+9}\)
= \(\sqrt{18}\) ⇒ r² = (\(\sqrt{18}\) )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
Which ordered pair is the solution to the system of equations? y = 2.c 2.0 -- 15 4r + 3y 5 o (7, 11) O (4. ( 4-7) 0 (5,-5) 0 (0, 6) answer ASAP
Answer:
7 11 I think hope this helps
Name the angle that corresponds to angle 2.
Answer:
c) angle 4
Step-by-step explanation:
correspond is same spot but diagonally.
HELP PLEASEJG
Problem: What is the actual distance between two cities if it is drawn to scale of 1:3,000,000 and it is 3 cm on the map?
Answer:
distance between two cities will be 9 000 000 km
Answer:
Step-by-step explanation:Scale of a map is 1:3000000 i.e, 1cm on map =30km so distance of towns on map =3.5cm Actual distance = 3.5×30=105km
Consider the following model:
yhat =2.1+1.0x²
The prediction of y is yhat. What is the estimated marginal effect of x on y when x=1.3?
________
Using the following model and corresponding parameter estimates, predict the (approximate) value of y variable when x=2 :
lny=β₁+β₂x²+u
The parameter estimates are β₁=2 and β₂=1 [Parameter estimates are given in bold font]
a. 2
b. 403.4
c. 103,4
d. 6
The value of u is not provided, we cannot determine the exact value of y. None of the given options (a, b, c, d) can be chosen as the approximate value of y.
For the first question, you are given the model yhat = 2.1 + 1.0x^2 and you want to find the estimated marginal effect of x on y when x = 1.3. To find the estimated marginal effect, you need to take the derivative of yhat with respect to x. In this case, the derivative would be 2.0x.
Now, substitute x = 1.3 into the derivative:
2.0(1.3) = 2.6.
Therefore, the estimated marginal effect of x on y when x = 1.3 is 2.6.
For the second question, you are given the model \(lny = β₁ + β₂x^2 + u\), with parameter estimates
β₁ = 2 and
β₂ = 1.
To predict the value of y when x = 2, substitute the given values into the model:
\(lny = 2 + 1(2^2) + u\)
lny = 2 + 1(4) + u
lny = 2 + 4 + u
lny = 6 + u
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6. Re-write the expression into an
addition expression, then
represent the expression on the
number line
4 - (-3) - (-7)
-4 + 3 + 7
Step-by-step explanation:
2 minus signs beside each other with no numbers in between them makes them turn into a plus.
So start at -4, then the 2 minus signs before the 3 makes it a +3 and the same for +7.
how do you determine the percent of scores in the data table that fall within one standard deviation of the mean?
30% of the scores in the dataset fall within one standard deviation of the mean.
To determine the percent of scores in a data table that fall within one standard deviation of the mean, you need to follow these steps:
Calculate the mean and standard deviation of the dataset.
Determine the lower and upper bounds of one standard deviation by subtracting the standard deviation from the mean to get the lower bound, and adding the standard deviation to the mean to get the upper bound.
Count the number of data points in the dataset that fall within the lower and upper bounds of one standard deviation.
Divide the number of data points within one standard deviation by the total number of data points in the dataset, and multiply the result by 100 to get the percentage of scores that fall within one standard deviation of the mean.
Let's say you have a dataset with a mean of 50 and a standard deviation of 10.
To determine the percent of scores that fall within one standard deviation of the mean, you would calculate the lower and upper bounds of one standard deviation as follows:
Lower Bound = 50 - 10 = 40
Upper Bound = 50 + 10 = 60
The number of data points in the dataset that fall within the lower and upper bounds of one standard deviation.
Let's say there are 30 data points that fall within this range.
The number of data points within one standard deviation by the total number of data points in the dataset, and multiply the result by 100 to get the percentage of scores that fall within one standard deviation of the mean:
Percent Within One Standard Deviation
= (30/100) × 100 = 30%
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PLEASE HELP
Will give brainliest and 5.0 rating xx
Answer:
-4 , -1
Step-by-step explanation:
( -4 is the X- axis [ the horizontal line] and 1 is the y-axis [the vertical line] ) move ur finger to -4 on the left and go up to 1. Now move ur finger down 2 times . ur finger will be on -4 which is the x- axis and -1 for the y - axis
Somebody please help.
Answer:
310°
Step-by-step explanation:
I would assume it's asking about the other measure of angle ABC which is 310° because the more sensible angle that is already labeled.
360-50=310
Answer:
C
Step-by-step explanation:
Which expression is equivalent to the expression 22 – 10 – 7.5?
Answer:
24.5-9-6
Step-by-step explanation:
Answer:
Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence
Step-by-step explanation:
PRETEST: The Number System
What is the fractional equivalent of the repeating decimal 0.2?
0339
off
O
O
6/N
27
5 of 13 QUESTIONS
SUBMIT
The fractional equivalent of the repeating decimal 0.2 is 2/9
How to determine the fractional equivalent of the repeating decimalFrom the question, we have the following parameters that can be used in our computation:
Repeating decimal = 0.2
Represent properly
So, we have
Repeating decimal = 0.2222
Express as fraction
So, we have
Fraction = 2/(10 - n)
In this case
n = 1
So, we have
Fraction = 2/(10 - 1)
Evaluate
Fraction = 2/9
Hence, the fractional equivalent is 2/9
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the sum of positive x1, x2, . . . xn equals 1. prove that (1 − x1)(1 − x2). . .(1 − xn) x1x2 . . . xn > (n − 1)n
It is proved that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n, given the sum of positive x1, x2, ..., xn equals 1
To prove that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n, given the sum of positive x1, x2, ..., xn equals 1, we can use the AM-GM inequality.
Step 1: Rewrite the inequality as (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n.
Step 2: Apply the AM-GM inequality, which states that for any non-negative numbers, the arithmetic mean is greater than or equal to the geometric mean.
Step 3: Apply the AM-GM inequality to (1 - x1), (1 - x2), ..., (1 - xn), and x1, x2, ..., xn.
Step 4: By applying the AM-GM inequality, we have:
[(1 - x1) + (1 - x2) + ... + (1 - xn)]/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).
Step 5: Simplify the left side of the inequality:
(n - (x1 + x2 + ... + xn))/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).
Step 6: Given that x1 + x2 + ... + xn = 1, substitute it into the inequality:
(n - 1)/n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn]^(1/n).
Step 7: Raise both sides of the inequality to the power of n:
[(n - 1)/n]^n ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn].
Step 8: Simplify the left side of the inequality:
[(n - 1)/n]^n = [(1 - 1/n)^n].
Step 9: Use the fact that as n approaches infinity, (1 - 1/n)^n approaches 1/e, where e is Euler's number (approximately 2.71828).
Step 10: Therefore, [(1 - 1/n)^n] ≥ 1/e.
Step 11: Substitute the result from Step 10 into the inequality:
[(1 - 1/n)^n] ≥ 1/e ≥ [(1 - x1)(1 - x2)...(1 - xn)x1x2...xn].
Step 12: Since 1/e > (n - 1)/n for all positive integers n, we can conclude that:
[(1 - x1)(1 - x2)...(1 - xn)x1x2...xn] < 1/e < (n - 1)/n.
Therefore, we have proved that (1 - x1)(1 - x2)...(1 - xn)x1x2...xn > (n - 1)n.
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Bill had 146 dollars to begin with. He just spent k dollars. Using k, write an expression for the number of dollars he has left.
Answer:
146 - k
Step-by-step explanation:
If he spent k dollars, the resulting amount would be the total amount minus k.