a) Language L = {u#v: u, v ∈ {0,1}* and u is a substring of v}
b) Language L = {0^2^k : for k ≥ 0}
Time Analysis: The time complexity of this program is O(n), where n is the length of the input. This is because we only need to scan through the input string once, counting the consecutive '0' symbols, and check if the count is a power of 2.
a) Language L = {u#v: u, v ∈ {0,1}* and u is a substring of v}
To sketch a 1-tape Turing machine program for this language, we can follow these steps:
1. Start at the leftmost symbol of the input.
2. Scan to the right until we encounter the '#' symbol, marking all the scanned symbols.
3. Once we encounter the '#' symbol, start scanning to the right again, comparing each scanned symbol with the marked symbols.
4. If a match is found, continue scanning until the end of the input, ensuring that the remaining symbols match the unmarked symbols.
5. If a mismatch is found at any point, reject the input.
6. If the end of the input is reached and all symbols match, accept the input.
Time Analysis: The time complexity of this program is O(n^2), where n is the length of the input. This is because, in the worst case, we need to compare each symbol in the input string with the marked symbols, and we may need to scan through the input string twice.
b) Language L = {0^2^k : for k ≥ 0}
To sketch a 1-tape Turing machine program for this language, we can follow these steps:
1. Start at the leftmost symbol of the input.
2. Scan to the right, counting the number of consecutive '0' symbols until a different symbol is encountered.
3. If the count of '0' symbols is not a power of 2, reject the input.
4. If a different symbol is encountered, check if it is the end of the input. If it is, accept the input.
5. If a different symbol is encountered and it is not the end of the input, reject the input.
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with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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Translate the figure 6 units right and 6 units down.
Answer:
Step-by-step explanation:
If you want to translate this figure 6 units right and 6 down, all you have to do is take each point and add 6 to it's x value and subtract 6 from its y value.
I labeled them left to right
A -8, 4 to -2, -2
B -3, 4 to 3, -2
C -2, 1 to 4, -5
The transformation can be defined as the introduction of a new set of mathematical coordinates. The triangle can be translated as shown below.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
To translate the given figure 6 units to the right, 6 is needed to be added to the x-coordinate of every point of the figure. Also, to translate 6 units down 6 needed to be subtracted from the y-coordinate of every point.
Therefore,
(-8, 4) ⇒ (-8+6, 4-6) ⇒ (-2,-2)
(-3, 4) ⇒ (-3+6, 4-6) ⇒ (3,-2)
(-2, 1) ⇒ (-2+6, 1-6) ⇒ (4, -5)
Hence, the triangle can be translated as shown below.
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Hey PLS PLS I WILLL GIVE BRAINLIEST AND THANK YOU ALSO ANSWER THE EQUATION THEN PUT THE ANSWER YOU GOT IN ONE OF THE BLANK BOXES
Answer:
x=9 B
Step-by-step explanation:
3x=27
divide both sides by 3 to get the x alone
28/3=9
Answer:
B: Divide both sides by 3
Step-by-step explanation:
The reason why is because you want to get x by itself and right now it looks like it is married (multiplied) to 3. To get it by itself, you have to get a divorce (be divided). Therefore, you would do 3x/3=x. You would then also have to divide the 27 on the other side. X then should equal 9.
Express the area of the entire rectangle. Your answer should be a polynomial in standard form
First,
Length of Rectangle = (x + 9) units
Breadth of Rectangle = (x + 3) units
so,
Area = (x + 9) * (x + 3)
= x² + 9x + 3x + 27
= (x² + 12x + 27) units
Andrew's monthly salary is $3,250, plus he carns a 1.4% commission on his sales cach month. Andrew's
sales for November were $51,000. What were his total earnings for November?
Guys, I’m giving you at least 100 points for you to answer to my last 4 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated! So guys, please listen up and pay attention to me without ignoring my last year’s math homework package from The Hung Vuong Learning Centre Incorporated for no reason! :D
The question #7 is a triangle has angle measures that are related as follows like this:
- The largest angle is 12 times the smallest angle.
- The middle angle is 5 times the smallest angle.
Please help me to find the measures of the angles.
Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering my math word problem question of my last 4 weeks of my math word problem homework package from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
120°, 50°, 10°Step-by-step explanation:
Lets assume the smallest angle measure is x.
Then the largest angle is 12x and the middle angle is 5x.
We know that sum of interior angles of a triangle is 180°.
Set the following equation and solve for x:
12x + 5x + x = 18018x = 180x = 10The smallest angle is 10°.
The largest angle is:
12*10° = 120°The middle angle is:
5*10° = 50°Answer:
Smallest angle = 10°
Middle angle = 50°
Largest angle = 120°
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
Let x = smallest angle
Given
the largest angle is 12 times the smallest angle ⇒ 12xthe middle angle is 5 times the smallest angle ⇒ 5xx + 5x + 12x = 180
⇒ 18x = 180
⇒ x = 180 ÷ 18
⇒ x = 10
Smallest angle = x = 10°
Middle angle = 5x = 5 x 10 = 50°
Largest angle = 12x = 12 x 10 = 120°
"In a toy store, there are 5 baseballs for every 6 gloves. If the store has 240 gloves how many baseballs do they have?"
Please help! ♡︎
Answer:
There are 200 base balls
Step-by-step explanation:
240 divided by 6 is 40, times 40 by the 5 and you get 200
1. Use the formula A = bh to find the area of the rhombus.
=
X
Is the rhombus also a parallelogram? Write yes or no..
The formula for the area of a rhombus is A =
Substitute numbers into the area formula: A =
The area of the rhombus is
=
➖➖
7 ft
-11 ft
Yes, the rhombus is also a parallelogram
The area of the rhombus is 77 ft²
How to determine the areaThe formula for calculating the area of a rhombus is expressed as;
A = bh
Such that the parameters of the equation are verbally as;
A is the area of the rhombusb is the base of the rhombush is the height of the rhombusFrom the information given, we have that;
base = 7ft
Height = 11 ft
Substitute the values, we get;
Area = 7(11)
Multiply the values, we have;
Area = 77 ft²
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Evaluate the function.
f(x) = x^2-4
Find f(5)
Answer:
\(f(x) = {x}^{2} - 4 \\ f(5) = {5}^{2} - 4 \\ = 25 - 4 = 21 \\ thank \: you \)
Angle ABC is bisected by line segment AD. If angle ABC measures 108° and one of the smaller angles created by line AD measures (5x+4), what is the value of x?
Answer:
x = 10
Step-by-step explanation:
One of the smaller angles that is created by the angle bisector measures 5x+4.
An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or
2(5x+4)=108 (divide both sides by 1/2)
10x+8=108 (distribute)
10x=100 (subtract 8 from both sides)
x=10 (divide by 10)
x=10
For a reverse mortgage with:
20-year term
loan amount $200,000
Interest rate 8%
There is no origination fee
If the origination fee is $4,000, what is the effective cost if the senior lives out the entire loan?
12.45%
7%
8.88%
16.23%
The effective cost of the reverse mortgage if the senior lives out the entire loan is 12.45%.
The effective cost, or the total cost of the reverse mortgage if the senior lives out the entire loan, can be calculated as follows:
The answer is 8.88%.
To calculate the effective cost, we need to consider the interest rate and the origination fee. Since the given scenario states that there is no origination fee, we can ignore it for this calculation.
The interest rate is 8%, which means that the loan balance will increase by 8% per year. Over a 20-year term, we need to calculate the total compounded interest on the initial loan amount of $200,000.
Using the compound interest formula, we can calculate the total cost as follows:
Total Cost = Loan Amount * (1 + Interest Rate)^Number of Years
Total Cost = $200,000 * (1 + 0.08)^20
Total Cost ≈ $200,000 * 4.66096
Total Cost ≈ $932,192
Therefore, the effective cost of the reverse mortgage if the senior lives out the entire loan is approximately $932,192.
To determine the effective cost as a percentage, we can calculate the percentage increase in the loan balance over the loan term:
Percentage Increase = (Total Cost - Loan Amount) / Loan Amount * 100
Percentage Increase = ($932,192 - $200,000) / $200,000 * 100
Percentage Increase ≈ $732,192 / $200,000 * 100
Percentage Increase ≈ 366.096%
Thus, the effective cost as a percentage is approximately 366.096%.
However, if the given options for the answer are limited to 12.45%, 7%, 8.88%, and 16.23%, the closest option to the actual effective cost of approximately 366.096% is 8.88%.
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If ∠J and ∠K are acute angles in a right triangle and m∠J is less than 60°, then cos(J)=cos(K)
In a right triangle, the sum of the measures of the two acute angles is always 90 degrees. So if ∠J and ∠K are acute angles in a right triangle, then we have:
m∠J + m∠K = 90°
Since m∠J is less than 60°, it follows that m∠K is greater than 30°, because their sum is 90°.
Now, let's consider the cosine of ∠J and ∠K. By definition, the cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse. So we have:
cos(J) = adjacent side to ∠J / hypotenuse
cos(K) = adjacent side to ∠K / hypotenuse
Since ∠J and ∠K are acute angles in a right triangle, they each have a unique adjacent side. Since the triangle is a right triangle, the hypotenuse is always the same, regardless of which angle is being considered.
Therefore, in general, it is not true that cos(J) = cos(K) for all right triangles with acute angles ∠J and ∠K, where m∠J is less than 60°. It depends on the specific values of the adjacent sides.
A wire is tied from the top of one tower to the top of another. The angle of depression from the top of the taller tower to the top of the shorter tower is 37. If the wire is 100 feet long, find the distance between the towers.
The distance between the two towers is 30 meters, and the height of the second tower (Tower B) is 90 meters.
We have two towers. Let's call the first tower Tower A, and the second tower Tower B. The height of Tower A is given as 30 meters. The angle of elevation of the top of Tower A from the foot of Tower B is 60 degrees. The angle of elevation of the top of Tower B from the foot of Tower A is 30 degrees. Our goal is to find the distance between the two towers and the height of Tower B.
In triangle ABC, where A is the foot of Tower A, B is the top of Tower B, and C is the top of Tower A:
tan(30 degrees) = AB / BC
Since tan(30 degrees) = 1 / √3, we can rewrite the equation as:
1 / √3 = AB / BC
Cross-multiplying, we get:
BC = AB * √3
In triangle ABC:
tan(60 degrees) = AC / BC
Since tan(60 degrees) = √3, we can rewrite the equation as:
√3 = AC / BC
Substituting the value of BC from Step 3:
√3 = AC / (AB * √3)
Cross-multiplying, we get:
AC = AB * 3
We have two equations:
BC = AB * √3
AC = AB * 3
Dividing equation 2 by equation 1:
AC / BC = 3 / √3
Simplifying, we get:
√3 = 3 / √3
Cross-multiplying, we get:
3 = 3
Since 3 = 3 is a true statement, we can conclude that the two towers are at the same distance as their heights. Therefore, the distance between the two towers is 30 meters.
Using the value of the distance between the towers (30 meters), we can substitute this value into one of the previous equations to find the height of Tower B. Let's use equation 2:
AC = AB * 3
Substituting AB with the distance (30 meters):
AC = 30 * 3
Simplifying, we find:
AC = 90 meters
Therefore, the height of Tower B is 90 meters.
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Suppose two utilites, People's Electric and Muricipal Energy, each produce 900 tons of pollution per year. The government has a goal of eliminating haf the pclution, and, in turn, provides 450 pollution permits to each utlity. A pollution permit is required to legally produce a ton of poliubon. However, the tao utities are allowed to trade permas. Suppose the cost of eliminating one ton of pollution for People's Electric is $400 and the cost of eliminating a ton of polution for Municipal Energy is $350. The total cost of each utility eliminating 450 tons of pollution is $ (Enter your response as a whole number)
The total cost of each utility eliminating 450 tons of pollution is $180,000.
To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.
For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.
For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.
Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.
The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.
In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.
Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.
This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.
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Help me out please thank u
Answer:
Three points determine a plane.
:)
Answer:
Three
Step-by-step explanation:
Help me ASAP!!!!!!!!!
See picture attached.
Good Luck
xsd
Step-bddy-step explanatison:
xddAnswer:ddsd
Plz help Major grade 6th grade
Answer:
A. 300h = 900
Step-by-step explanation:
V = lwh
900 = (25)(12)h
900 = 300h
300h = 900
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.
In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:
(4x + 7y) + (9x + 13y) = 17 + 46
Combining like terms on both the sides, we will be getting ,
13x + 20y = 63
Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be 13x + 20y = 63.
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The complete question is :
4x +7y= 17
9x + 13y = 46
when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.
Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle
Answer:
7.5 % increase
Step-by-step explanation:
So,first we know that Square is also a special type of Rectangle,
so consider a Square with side 100 unit ,
Initially, After increament in side
Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit
width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105
initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)
= 400 unit
After increment in length and width
Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)
= 430 unit
So we can clearly see that there is an increase of 30 unit in perimeter from initial.
Therefore ,% increase in perimeter will be
(final perimeter - initial perimeter)/initial perimeter x 100
= (430 - 400)/400 x 100
= 7.5 % increase
Answer:
increased by 8%
Step-by-step explanation:
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
A. $9.72
B. $21.87
C. $97.20
D. $218.70
Answer:
21.87
Step-by-step explanation:
What is the true solution to 2ln(e ^ ln(5x)) - 2ln(15) of
Answer:
First you should see that the 2s cancel out. The equation becomes:
ln( e^{ln(5x)} ) = ln15ln(e
ln(5x)
)=ln15
Use the laws of logarithms, knowing that ln(e) = 1.
\begin{gathered}ln(5x) = ln(15) \\ 5x = 15 \\ x = 3\end{gathered}
ln(5x)=ln(15)
5x=15
x=3
The answer is B.
Hopefully this helps!
Step-by-step explanation:
x=3
Step-by-step explanation:
Given in an equation as
2 ln e^ln5x=2 ln 152lne
l
n5x=2ln15
Divide 2 to get
ln e^ln5x= ln 15lne
l
n5x=ln15
Using log rules for exponents we get
ln 5x = ln 15
Cancel ln to get
5x=15x=35x=15x=3
Hence solutin is x=3
Shhssbshebjsgsusjs
Pls help
Answer:
sss i think
Step-by-step explanation:
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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Holding other things constant, what is the effect of (a) sample size and (b) variation in x on the variance of the OLS estimator?
(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.
(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.
(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.
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John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an hour?
Answer:
11.25 miles
Step-by-step explanation:
To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:
distance = rate x time
We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:
rate = distance / time
rate = 45 miles / 2 hours
rate = 22.5 miles per hour
Now we can use this rate and the given time of 1/2 an hour to find the distance:
distance = rate x time
distance = 22.5 miles per hour x 1/2 hour
distance = 11.25 miles
Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.
My dog, Bentley, is playing in the park and sees a tree 100 m away. Since he is the dog of a mathematics teacher, he knows how to calculate the angle of elevation to the top of the tree and finds it to be about 25°. About how tall is the tree?
Answer:
g
Step-by-step explanation:
Answer:
g is the answer trust me all the best
List three things that the anti-federalists are known for
The Anti-Federalists are known for three main things: 1. Their opposition to a strong central government. 2. Their concerns about the lack of a bill of rights in the original Constitution. 3. And their support for decentralized power and states' rights.
The Anti-Federalists were a group of individuals who opposed the ratification of the United States Constitution in the late 18th century. One of their primary concerns was the establishment of a strong central government. They feared that a powerful federal government would undermine the rights and liberties of the states and individuals. Anti-Federalists argued for a more decentralized system of government, with power residing primarily in the state governments. They believed in a confederation of states that would maintain a significant degree of sovereignty.
Another notable aspect of the Anti-Federalists' position was their concern about the lack of a bill of rights in the original Constitution. They believed that individual liberties and rights should be explicitly protected and guaranteed by the government.
Their advocacy for a bill of rights led to the inclusion of the first ten amendments, known as the Bill of Rights, which outlined fundamental rights and protections for individuals.
In summary, the Anti-Federalists are known for their opposition to a strong central government, their insistence on a bill of rights, and their support for decentralized power and states' rights.
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A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.
The height of the building with a shadow of 88 feet is 55 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the building, hence using trigonometric ratios:
tan(32) = h / 88
h = 88 * tan (32) = 55 feet
The height of the building with a shadow of 88 feet is 55 feet.
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Answer: 55
Step-by-step explanation: The building is 55 meters high
The claim is that smokers have a mean continue level greater than the level of 2. 84 ng/mL found for non-smokers. ( continue is used as a biomarker for exposure to nicotine) The size sample is n=781 and the test statistic is t=52. 912. Use technology to find the P value. Based on the results, what is the final conclusion? Use a significance level up 0. 5
To find the p-value for the given test statistic and sample size, we need to consult a t-distribution table or use statistical software. However, it's important to note that the provided test statistic, t = 52.912, is unusually large, suggesting a highly significant result.
Since the significance level is not explicitly stated, I'll assume a significance level of 0.05 (5%).
Using statistical software or a t-distribution table, we can find that the p-value for a t-statistic of 52.912 with degrees of freedom (df) = 780 is essentially 0 (p < 0.0001).
With a p-value significantly less than 0.05, we reject the null hypothesis. This means there is strong evidence to support the claim that smokers have a mean cotinine level greater than the level found for non-smokers (2.84 ng/mL).
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what numbers will i multiply to get 126 and add to get 2