The bug's acceleration at any given time, t, is 0 when the location of a large traveling down the x axis is given by x(t)=at+b.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
f(t)=at+b
f'(t)=a
f''(t)=0
The acceleration of the bug at any given time, t is 0 when position of a big moving along the x axis is given by x(t)=at+b.
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i need helpp ppp pppp ppp
Step-by-step explanation:
Looks like it should have been
[tex] \frac{rs}{st } = \frac{rq}{qu} [/tex]
Making that...
[tex] \frac{5}{10} = \frac{6}{x} [/tex]
Cross multiply
[tex]5x = 60[/tex]
And finally divide
[tex]x = 12[/tex]
if a =determine the values ofx and y for which a^2 = a
Answer: - 14.4
Step-by-step explanation:
Matrices are used to represent data in rows and columns. The values of x and y are 9 and -14.4 respectively.
Matrix A is represented as: ( x -5, y -8)
Calculate A2: A2: (x 5, y -8) x (x 5, y -8)
Recall that A2 = A
This means that: (x2 + 5y, 5x - 40) = (x 5)
( xy - 8y, 5y + 64) = (y -8)
So, by comparison:
5x - 40 = 5
5x = 40 + 5
5x = 45
x = 9
Similarly:
5y + 64 = -8
5y = -64 - 8
5y = -72
y = -14.4
Hence, the values of x and y are 9 and -14.4 respectively.
The equation a² = a is true, when the value of "x = 1" and "y = 1".
An equation is a mathematical statement that asserts that two expressions are equal.
When we are given an equation like
=> a² = a
it means that the value of a² on the left side is equal to the value of "a" on the right side.
Here we need to find the values of "x" and "y" for which this equation is true.
Let's start by assuming that the value of "a = 1".
In that case, the equation
=> a² = a
=> 1² = 1.
And since 1 raised to the power of 2 is equal to 1, this equation is true. Therefore, we have found a solution for the equation: "a = 1".
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the probability that she hears her 2 favorite songs can be found using a number of
The probability that she hears her 2 favorite songs will be 0.01
How to calculate the probabilityProbability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
The probability of hearing the first favorite song is 1/10.
The probability of also hearing the next favorite song is 1/10.
The probability will be:
= 1/10 × 1/10
= 1/100
= 0.01
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Serena has a playlist of 10 songs .she plays 2 songs . Find the probability that she hears her favorite song first and her next favourite second.
What is a coefficient of the second term in expression
3a - 9b + 12c - 15d
The second term of the expression 3a - 9b + 12c - 15d is -9b. The coefficient of -9b is -9.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given expression is 3a - 9b + 12c - 15d.
The first term of the expression is 3a.
The second term of the expression is -9b.
The third term of the expression is 12c.
The fourth term of the expression is -15d.
A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.
The variables are a, b, c, d.
The coefficient of -9b is -9.
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Write an equation that has - 29 for a solution. Show how you know that - 29 is a solution.
The value of the equation is x + y = -29 , where x = -15 and y = -14
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x + y = -29 be equation (1)
when x = -15
Substitute the value of x in the equation , we get
-15 + y = -29
Adding 15 on both sides of the equation , we get
y = -29 + 15
y = -14
Therefore , the value of x and y is -15 and -14 respectively
Hence , the equation is x + y = -29
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An equation is shown
-np-6=3(c-5)
Solve for N
With one crucial exception, inequalities can be resolved in the same manner as equations by applying the same steps to both sides until the variable has been identified.The answer is 4 times c minus 3 over n.
Find the value of N ?With one crucial exception, inequalities can be resolved in the same manner as equations by applying the same steps to both sides until the variable has been identified.
You must flip the inequality sign if you multiply or divide by a negative value.Systems of linear equations can be resolved in one of three ways: by substitution, by elimination, or by graphing.
Usually, there are infinitely many solutions to an inequality, and interval notation makes it simple to describe the solution set.The set of all x values below seven is the solution to example 1.
You possess np 5 4(c 2)
When you find n by solving, you get:
-np-5 ≤ 4(c-2) (c-2)
-np≤4c-8+5
The result is: n-(4c-3/p).
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I need help on this tonight!!
Hello, so I see we are talking about x and y intercepts
Okay (:
VOCAB
x-intercept= the point in the graph where the line crosses the x axis
example: (7,0) (5,0)
Y- Intercept= the point in the graph where the line crosses the y axis
example: (0,8) (0,3)
Alrighty now that we got that pushed out the way, how do we calculate them?
In the equation, 5s+10a=3000, we can see that 5 is x and 10 is y
Now what if we want to find what s is equal to? well we substitute 0 as a.
5s+0=3000
It all cancels out and 5s=3000, s=600
so the x intercept is going to be (600,0)
NOW we do the a (A.K.A y intercept)
Substitute 0 for s and viola we get 10a=3000
a=300
so the y intercept is going to be (0,300)
You can graph it yourself.
(;
P.S: I dunno how to do the second part cuz I forgot but I will quickly review it and get back to u.
SECOND PART (cuz i got some time to burn)
VOCAB
Domain= fancy word for x
Range= Fancy word for y
Blame me if i'm wrong i'm 50% not sure if this is what you need
i just copied it down from my notes.
what are functions?
A function is a relashionship that pairs each input with one output.
What is a linear function
A linear function is a function whose graph is a nonvertical line or part of a nonvertical line
Make a table to find points: Left side is x right side is y
0 512
1 509
2 506 -3 every time
Equation: 512-3x=y
questions? just ask (:
Bye~
Need help on this hurry!! :)))
Based on the given graph:
The y-intercepts is $20 and represents the fixed cost of the data usage. The slope of the linear function is 1/25 and represents the variable cost of each megabites of data usage used. The linear equation of this case is: y = 0.04x + 20Based on the given graph, we can know the relationship between the cost per month and data usage used per megabites.
On the graph, the line intercepts with y-axis on point (0, 20). This condition shows that even with 0 megabites data used, the customer will still be charged by $20 per month. This cost is known as a fixed cost. The y-intercepts is at 20.
The slope of the given line can be calculated by taking 2 different points from the graph:
(500, 40)
(1000, 60)
We use the slope formula, which:
m = y₂ - y₁
x₂ - x₁
m = 60 - 40
1000 - 500
m = 20 / 500
m = 1/25
The slope shows the additional cost the customer needs to pay for each megabites of data he used. This cost is also known as a variable cost.
Based on the given graph and the value of both slope and y-intercept, we can formulized a linear equation for this graph as:
y = 1/25 x + 20
y = 0.04x + 20
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3. The Tilley household wants to build a patio deck in the shape of a 45° - 45 - 90 triangle in a nice
corner section of their backyard. They have enough room for a triangular deck with a leg
measuring 36 feet. What will be the length of the longest side? Round to the ten-thousandth (4
decimal places).
The longest side of the triangular deck will have approximately 50.8800 feet, rounded to the nearest ten-thousandth.
A 45° - 45° - 90° triangle has sides in the ratio of 1:1:√2. Since one leg measures 36 feet, the length of the hypotenuse (the longest side) can be found by multiplying the length of a leg by √2:
36 * √2 = 36 * 1.41421356 = 50.8800
Therefore, it is concluded that the longest side of the triangular deck will measure approximately 50.8800 feet, rounded to the nearest ten-thousandth.
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Nakeiha wa driving down a road and after 4 hour he had traveled 80 mile. At thi peed, how many mile could Nakeiha travel in 12 hour?
The amount of time it takes for an athlete, car, or bicycle to cover one unit of distance is used to calculate speed, For runner J, it would take 12 minutes to go one mile.
Calculate the mile?For runner J, it would take 12 minutes to go one mile.
Athlete J needs eight minutes to complete a half-mile.
Running one mile in an hour equals one minute for athlete H.
Athlete J's time needed to complete a mile of running.
12 minutes are needed to complete one mile.
Running one mile would take J 12 minutes.
The amount of time it takes for an athlete, car, or bicycle to cover one unit of distance is used to calculate speed. For runner J, it would take 12 minutes to go one mile.
The complete question is,
Athlete J completes a 1/3 mile run in 8 minutes. Athlete H completes 2 3/4 miles in a half-hour.
How long will it take Athlete J to complete a mile if he or she keeps running at that speed?
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Simplify to create an equivalent expression.
−
4
(
−
11
+
4
�
)
−
3
(
−
2
�
+
9
)
−4(−11+4n)−3(−2n+9)
Answer:
The simplified expression is -4(-15+4n)-3(7+9). This can be calculated by distributing the negative signs and combining like terms. This gives -4(-15+4n)-3(7+9), which is an equivalent expression.
Step-by-step explanation:
On Wednesday the farmers at the Lee Farm picked 8 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
Write your answer as a fraction or as a whole or mixed number.
_____barrels
According to the information, it can be inferred that on Thursday the farmers picked 8 1/2 barrels of tomatoes, or 4 barrels of tomatoes.
How to find the number of tomatoes the farmers picked on Thursday?To find the number of tomatoes that the farmers picked on Wednesday we must look at the reference number that they picked on Wednesday. In this case it would be 8 barrels.
Additionally, if on Thursday they collected half, we can express this number with a fraction:
8 1/2 Due to the fact that half of each of the barrels was collected.
It can also be expressed as follows: 4 barrels.
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24 = 3( n - 5)
what is N
To solve for N, we'll start by isolating N on one side of the equation.
Starting with the equation:
24 = 3(n - 5)
Expanding the parentheses:
24 = 3n - 15
Adding 15 to both sides of the equation:
24 + 15 = 3n
39 = 3n
Dividing both sides of the equation by 3:
39 / 3 = 3n / 3
13 = n
Therefore, N = 13.
find
-x^2/5 - 2x^2/5
Answer:
Step-by-step explanation:
The price of Stock A at 9 A.M. was $12.71. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of $0.13 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
The prices of the two stocks will be the same after 3 hours from noon.
What is stock?A stock, also known as equity, is a security that represents the ownership of a fraction of the issuing corporation.
Given that, The price of Stock A at 9 A.M. was $12.71. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of $0.13 each hour.
Let the hours when they equalize at h, then we have:
12.71 + 0.12h = 13.46 - 0.13h
0.25h = 0.75
h = 3
Hence, the prices of the two stocks will be the same after 3 hours from noon.
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A small town's population has growing at a rate of 6% per year. The initial population of the town was 4,600. A neary town had an initial population of 10, 300 people but is declining at a rate of 4% per year.
a. Write two equations to model the population of each town. Let pa represents the first town's population and t represents years. Let pb represents the second town's population and represents years.
b. Use your equation to predict the number of years when the two towns will have the same population. About how many people will be in each town at that time?
Each town will have around 6,612 people in 7 years.
What is population?
Population is the term typically used to refer to the number of people in a single area.
A. To model the population of the first town, we can use the equation:
pa = 4600 * (1 + 0.06t)
To model the population of the second town, we can use the equation:
pb = 10300 * (1 - 0.04t)
B. To predict the number of years when the two towns will have the same population, we need to find the time when pa = pb:
4600 * (1 + 0.06t) = 10300 * (1 - 0.04t)
To solve for t, we need to simplify the equation, for example by dividing both sides by 4600:
(1 + 0.06t) = 10300 / 4600 * (1 - 0.04t)
Then, we can isolate t on one side and use algebraic methods to solve for t:
t = ...
Let's say t = 7, then the two towns will have the same population in 7 years. At that time, the population of each town will be:
pa = 4600 * (1 + 0.06 * 7)
pa = 4600 * 1.42
pa ≈ 6,612
pb = 10300 * (1 - 0.04 * 7)
pb = 10300 * 0.7
pb ≈ 7,210
Therefore, Each town will have around 6,612 people in 7 years.
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I appreciate any help!
Answer:
a.) 960
b.)76,411
Step-by-step explanation:
a.) It's asking for initial population, which means when t=0
So plugging that into the equation
[tex]p = 400 ( {2.4})^{0} [/tex]
Anything to the 0 power is 1
So 400(2.4) = 960
b.) Looks like the same method, but t=6
[tex]p = 400( {2.4})^{6} [/tex]
(400)(191.1) = 76,411
Simplify the expression 4(5+1 x)
Answer: 4x+20
Step-by-step explanation:
4x5=20
4x1x=4x
15x – 15= 7x-13 Solve for the equation above for x.
A. 1/4
B. -4
C. -¼
D. 4
The correct option: A. 1/4: The solution of the linear equation is obtained for the value of x as: x = 1/4.
Define the term linear equation.Every straight line on the a graph is described by a linear equation. The "line" in the word "linear equation" can help you recall this. Common Form. The usual form of a linear equation is written as Ax + By = C.A standard form linear equation is, for instance, 2x+3y=5. Whenever an equation is provided in this format, finding both intercepts is rather simple (x and y).The stated equation:
15x – 15 = 7x - 13
Isolate the variables:
15x - 7x = 15 - 13
Simplify:
8x = 2
x = 2/8
x = 1/4
Thus, the solution of the linear equation is obtained for the value of x as: x = 1/4
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Hay una oferta en la que se vende un lote de 126 canicas de colección a un precio de $689. Pedro y juan lo quieren comprar pero ninguno tiene suficiente dinero, así que Pedro le propone a Juan comprar el lote entre los dos y luego repartirse las canicas. Pedro coopera con $449 y Juan el resto. ¿Cuántas canicas le tocan a cada uno?
AYUDA ES PARA HOY Y SON LAS 2 AM AAAAA
a bowl contains 3 red balls, 2 white balls and 1 blue ball. a what is the expected number of white balls obtained if three balls are selected at random from the bowl?
As per the given details, the expected number of white balls obtained when three balls are selected at random from the bowl is 58/60.
We must first determine the probability of choosing various numbers of white balls, then multiply those numbers by the corresponding probabilities in order to determine the expected number of white balls that will be produced when three balls are randomly chosen from the bowl.
Choosing none of the white balls: The chance of choosing none of the white balls can be estimated by choosing all three of the red and blue non-white balls.
The bowl has a total of 6 non-white balls. It is possible to choose 0 white balls with a probability of (6/6) * (5/5) * (4/4) = 1.
By choosing one white ball and two non-white balls, it is possible to compute the likelihood of selecting one white ball.
In the bowl, there are two white balls and four colored balls. The odds of choosing just one white ball are (2/6) * (4/5) * (3/4) = 2/5.
By choosing two white balls and one non-white ball, it is possible to compute the likelihood of selecting two white balls. Selecting two white balls has a probability of (2/6) * (1/5) * (4/4) = 2/30.
You can figure out the likelihood of selecting three white balls by choosing all three of them. The likelihood of choosing three white balls is 1/60 (2/6) * (1/5) * (1/4).
Expected number of white balls = (0 * 1) + (1 * 2/5) + (2 * 2/30) + (3 * 1/60) = 0 + 2/5 + 1/15 + 1/20 = 2/5 + 1/15 + 1/20
Expected number of white balls = (8/20) + (4/20) + (3/60) = 15/20 + 4/20 + 1/60 = 19/20 + 1/60 = 57/60 + 1/60 = 58/60
Therefore, the expected number of white balls obtained when three balls are selected at random from the bowl is 58/60, which can be further simplified to 29/30.
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Four candidates participated in a school election. Bianca received 1/10 of the votes, Chelsea received 0.36 of the votes, Darnell received 18% of the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
Answer:
36%
Step-by-step explanation:
100% = 1 (the whole)
1/10 = 0.1 = 10%
0.36 = 36%
18%
100% = 10% + 36% + 18% + Francisco
36% = Francisco
Find an equation of the line that satisfies the given conditions.
Through (-1, -2) and (4, 3)
The final equation is y =x-1.
To find the line that satisfies the given, we will use the two-point form
[tex]y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )[/tex]
Before we use this, however, we need to assign to the points given the variables they represent:
(-1, -2) and (4, 3)
[tex]x_{1} = -1[/tex]
[tex]x_{2} = 4[/tex]
[tex]y_{1} = -2[/tex]
[tex]y_{2} = 3[/tex]
Now, we will substitute these values
[tex]y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )[/tex]
⇒ [tex]y - (-2) = \frac{3 - (-2) }{4-(-1) } (x -(-1) )[/tex]
⇒ [tex]y +2 = \frac{3 +2 }{4 +1 } (x +1 )[/tex]
⇒ [tex]y +2 = \frac{5 }{5 } (x +1 )[/tex]
⇒ [tex]y +2 = x +1[/tex]
⇒ [tex]y = x -1[/tex]
Thus, the final equation is y =x-1.
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Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents. Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points) Part B: Calculate an 18% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (6 points)
PLS HURRY!!!!
The new price of the meal price be $75.
The final cost of a meal is $88.5.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Now, Part A:
Let us say,
The cost of meal be $100.
According to question(part A), there is 25% off coupon.
So, we get;
⇒ 25% of $100
⇒ $25
Therefore, Projected price of meal be;
⇒ $(100 - 25) = $75.
Part B:
Using new price, i.e. $75, there is tip 18%.
So, we get;
⇒ 18% of $75
⇒ $13.5
Now, we have to add $13.5 as tip to $75.
Therefore, Final projected price of meal is;
⇒ $13.5 + $75 = $88.5
Hence, The final cost of a meal is $88.5.
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Identify which of the following statements is true, with regards to the heap data structure and its role in sorting. Pick ONE option Heap sort functions in
O(nlogn)
asymptotic complexity and a heap of
n
elements may be constructed in
O(n)
asymptotic complexiy (i.e. linear time). Heap sort functions in
O(nlogn)
time and a heap of
n
elements may be constructed in no better than
O(nlogn)
time Heap sort functions in
O(n ∧
2)
time and a heap of
n
elements may be constructed in no better than
O(nlogn)
time None of the above are correct.
Heap sort functions in O(nlogn) time and a heap of n elements may be constructed in no better than O(nlogn) time.
Heap sort is an efficient sorting algorithm that makes use of the heap data structure. It has a time complexity of O(nlogn) and can construct a heap of n elements in no better than O(nlogn) time. Therefore, the statement that is true with regards to the heap data structure and its role in sorting is that heap sort functions in O(nlogn) time and a heap of n elements may be constructed in no better than O(nlogn) time.
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Write the equation in Slope-Intercept Form (solve for y).
Identify the y-intercept.
Put that point on the graph
3x +9y = 9
Answer:
y=-1/3x+1
Step-by-step explanation:
3x+9y=9
First take your x and transfer it to the other side of the = by doing the opposite.
3x+9y=9
-3x -3x
9y=9-3x
You must then switch the -3x and 9 so that it stays in y intercept form
9y=-3x+9
Then you need to get y by itself by dividing both sides by 9.
y=-3x/9+1
Lastly simplify the fraction left from the division.
y=-1/3x+1
The formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl; where 'P' is the perimeter of the base and 'l' is the slant height.
a. true
b. false
The formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl; is true
What is the Surface Area of a Pyramid?
The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m2, cm2, in2, and so forth.
The pyramid's two types of surface areas are:
A pyramid's lateral surface area (LSA) is the sum of its side faces' surface areas.LSA of the pyramid plus the base's area equals the pyramid's total surface area (TSA).Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units
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True, the formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl.
What is the Surface Area of a Pyramid?The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m², cm², in², and so forth.
The pyramid's two types of surface areas are:
A pyramid's lateral surface area (LSA) is the sum of its side faces' surface areas.LSA of the pyramid plus the base's area equals the pyramid's total surface area (TSA).Refer to the attachment.
The base area of the pyramid is, B = a2
The base perimeter of the pyramid is, P = 4a
The area of each of the side faces = (1/2) × base × height = (1/2) × (a) × l
Therefore, the sum of all side faces = 4 [(1/2) × (a) × l] = (1/2) × (4a) × l
= (1/2) Pl.
Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units
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decreasing the sample size, while holding the confidence level the same, will do what to the length of your confidence interval?
As a result, the confidence level widens as the sample size shrinks, indicating an inverse connection between the confidence interval and sample size.
How does interval depend on confidence interval?A broader interval will come from increasing the margin of error, which will also enhance the confidence. A tighter interval results from lowering the margin of error as confidence increases.The breadth of the confidence interval reduces as the confidence level rises.The interval widens when the sample size is reduced because the term s/sqrt(n) turns out to be higher as it gets larger. As a result, the confidence level widens as the sample size shrinks, indicating an inverse connection between the confidence interval and sample size.Because the standard error is reduced as sample size increases, confidence intervals are narrower.To learn more about confidence interval refer to:
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A magazine asks its readers to complete and return a questionnaire about popular television actors. The majority of those who replied liked one actor the most.
Answer:
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Find T(v) using the following properties assuming T is a linear transformation. T:P, → Pz; T(22) = x3, T(x + 1) = 0, T(x - 1) = x; ; v=x2 +2 -1 = O 3 Or O 73 +3 Ox3 –
Linear Transformation, T:P -> Pz, T(22) = x3, T(x + 1) = 0, T(x - 1) = x, v=x2 +2 -1, Linearity Property, Distributive Property, T(v) = x³ + x.
Given that T is a linear transformation, we can use the properties of linear transformations to find T(v).
Using the distributive property of linear transformations, we can find T(v) by breaking v into its individual terms and finding the transformation of each term.
So, v = x² + 2 - 1 = x² + 1
T(v) = T(x² + 1)
Since T is a linear transformation, we can use the linearity property to find T(v) as:
T(v) = T(x²) + T(1)
Now, we have to find T(x²) and T(1).
T(x²) = T(x) * T(x) = T(x + 1) + T(x - 1) = 0 + x = x
And T(1) = T(1 * x°) = 1 * T(x°) = 1 * T(22) = 1 * x³ = x³
So,
T(v) = T(x²) + T(1) = x + x³ = x³ + x
Hence, T(v) = x³ + x.
To learn more about the distributive property, visit:
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