The statement is true. In order to generate a sample size using XL data analyst software, you must first estimate the population proportion (p) and specify your allowable margin of error.
Estimating p involves making an educated guess about the proportion of the population that possesses a certain characteristic or meets a certain criteria. This estimation can be based on prior research, historical data, or your own observations. It is important to note that your estimation of p will affect the size of your sample, with a larger sample size needed for smaller values of p.
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Adam wanted to play his video games his mother told him he need to to finsh his homework clean out the dishwaser and claen his roombefore palying his video game
If Adam wants to play video games he will have to finish homework, clean the dishwasher, and clean the room so the time he spends in total is 148 minutes by arithmetic all the timings respectively.
To find the total time Adam spent doing homework and cleaning before playing video games,
Adam needed to finish his homework, clean out the dishwasher, and clean his room before playing video games.Adam completed his homework in 48 minutes.Adam took 25 minutes to clean out the dishwasher.Adam took 75 minutes to clean his room.we add the time he spent on each task: 48 minutes for homework + 25 minutes for cleaning out the dishwasher + 75 minutes for cleaning his room = 148 minutes.
Therefore, Adam had to spend 148 minutes doing homework and cleaning before playing video games.
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The question is -
Adam wanted to play his video games. His mother told him that he needed to finish his homework, clean out the dishwasher, and clean his room before playing video games. He completed his homework in 48 minutes. He took 25 minutes to clean out the dishwasher. He took 75 minutes to clean his room. How much time did Adam have to spend doing homework and cleaning before playing video games?
HELP PLS!!!!
A ball is kicked straight up into the air from a height of 12 ft with an initial velocity of 64ft/s. After how many seconds does the ball hit the ground? Round to the nearest tenth of a second
The time it takes the ball to hit the ground is 0.375 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the amount of time it takes the ball to hit the ground, we use the formula below.
Formula:
S = (v+u)t/2............................. Equation 1Where:
S = Height v = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
v = 0 m/s (At the maximum height)u = 64 ft/sS = 12 ftSubstitute these values into equation 1 and solve for t
12 = (64+0)t/264t = 24t = 24/64t = 0.375 secondsHence, the time is 0.375 seconds.
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The price of a car has been reduced from $17,500 to $14,525. What is the percentage decrease of the price of the car?
Answer:
17%-----------------------
Given:
Original price = $17500, New price = $14525.The difference is the amount of decrease:
Decrease = 17500 - 14525 = 2975Find the percentage decrease:
Percentage decrease = (Difference / Original price) × 100 Percentage decrease = (2975 / 17500) × 100 = 17%Therefore, the price of the car has been reduced by 17%.
The price of the car has been decreased by of 17% percentage.
To find the percentage decrease of the price of the car
Calculate the difference between the original price and the reduced price
Divide difference by the original price, and then multiply by 100 to convert it to a percentage:
Percentage decrease = (reduction in price / original price) x 100%
The reduction in price is:
$17,500 - $14,525 = $2,975
The original price is:
$17,500
So the percentage decrease is:
(2975 / 17500) x 100% = 17%
Therefore, the price of the car has been decreased by 17%.
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-x^2+3x-8=0 can you solve this
Answer:
x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.
Step-by-step explanation:
To solve the quadratic equation -x^2 + 3x - 8 = 0, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = -1, b = 3, and c = -8. Substituting into the quadratic formula, we get:
x = (-3 ± sqrt(3^2 - 4(-1)(-8))) / 2(-1)
Simplifying the expression inside the square root:
x = (-3 ± sqrt(9 - 32)) / (-2)
x = (-3 ± sqrt(-23)) / (-2)
Since the square root of a negative number is not a real number, the solutions to this quadratic equation are complex numbers. We can simplify the expression by writing the solutions in terms of the imaginary unit i:
x = (-3 ± sqrt(23)i) / 2
Therefore, the solutions to the quadratic equation -x^2 + 3x - 8 = 0 are x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.
The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?
OA. g(x) = -2x² + 3
OB. g(x)=x2-3
OC. g(x)=x²-3
OD. g(x) = 2x2 +3
The equation for the transformed function in the graph is:
g(x) = 2x² + 3
Which is the equation for g(x)?We know that g(x) is a transformation of f(x)= x².
First, we can see that the y-intercept is 3 units above of the one of f(x), so we have a vertical translation of 3 units.
We also can see that the graph is narrower, so there is a coefficient larger than 1, the only option that meets these two conditions is:
g(x) = 2x² + 3
Where the leading coefficient is larger than 1, and the constant term (and thus the y-intercept) is positive.
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Mr. Lara’s family has taxable earnings this year of 36,623. They have paid 4,745 in withholding taxes from their earnings. Mr.Lara and his wife file jointly.have they paid enough in withholding for their taxes.
The correct answers are:
• 31,878, The explanation Is on the bottom.
Mr. Lara's family has taxable earnings of 36,623 this year and they have paid 4,745 in withholding taxes. This means that their net income after taxes is calculated by subtracting the withholding taxes from their taxable earnings, which comes out to be 31,878. It is important to note that this is the amount of income that is subject to federal and state income taxes, and other deductions such as Social Security and Medicare may also apply.
• Another explanation on how to get the answer.
Mr. Lara's family earned 36,623 in taxable earnings and paid 4,745 in withholding taxes, leaving them with a net income of 31,878. This is the amount they will receive after taxes are deducted.
• Last explanation to get answer.
Mr. Lara's family had taxable earnings of $36,623 this year and paid $4,745 in withholding taxes. Their net income after taxes is calculated by subtracting the withholding taxes from their taxable earnings, leaving them with $31,878. It is important to note that this is their net income after all taxes have been paid and may not necessarily reflect their actual take-home pay, as there may be other deductions such as retirement contributions or health insurance premiums. Overall, their net income after taxes represents the amount they have available for living expenses and savings.
Michelle bought a cheese pizza. It was served on a metal tray with a radius of 3 inches. What is the tray's area?
The area of the tray is approximately 28.26 square inches.
To find the area of the tray, we need to use the formula for the area of a circle, which is:
Area = π x radius²
Here, π (pronounced "pi") is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Its approximate value is 3.14.
In our case, the radius of the tray is given as 3 inches. So, we can substitute this value into the formula and calculate the area as follows:
Area = π x 3²
= 3.14 x 9
= 28.26 square inches
This means that if we were to cover the tray completely with paint or any other material, it would require 28.26 square inches of that material.
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An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate that percentage with a margin of error of2% and 90% confidence. To gauge the size of the problem, the agency first picks 60cars and finds 12 with faulty emissions systems. How many should be sampled for a full investigation?
The environmental agency should sample at least ( ???) vehicles.
The environmental agency should sample at least 746 vehicles.
In order to determine how many cars should be sampled for a full investigation, we can use the formula for sample size:
n = (Z^2 * p * q) / E^2
where:
- n = sample size
- Z = the Z-score for the desired level of confidence (in this case, 1.645 for 90% confidence)
- p = the proportion of cars in the population with faulty emissions systems (which we can estimate as 12/60 = 0.2 based on the initial sample)
- q = 1 - p
- E = the desired margin of error (2% in this case, or 0.02)
Plugging in these values, we get:
n = (1.645^2 * 0.2 * 0.8) / 0.02^2
n ≈ 746
Therefore, the environmental agency should sample at least 746 vehicles for a full investigation in order to estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence.
Hence ,To estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence, the environmental agency should sample at least 746 vehicles for a full investigation.
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1) The school that Emily goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 7 senior citizen tickets and 7 student tickets for a total of S112. The school took in $103 on the second day by selling 4 senior citizen tickets and 7 student tickets.
What is the price each of one senior citizen ticket and one student ticket?
2) The school that Jack goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 adult tickets and 6 student tickets for a total of $48. The school took in $30 on the second day by selling 3 adult tickets and 3 student tickets. What is the price each of one adult ticket and one student ticket?
3) Ashley and Asanji each improved their yards by planting hostas and shrubs. They bought their supplics from the same store. Ashley spent $42 on 3 hostas and I shrub. Asanji spent $82 on 7 hostas and I shrub. What is the cost of one hosta and the cost of one shrub?
4) Ashley and Kali cach improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Ashley spent $52 on 1 daylily and 5 bunches of omamental grass. Kali spent $100 on 5 daylilies and 5 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
5) Dan and Kali cach improved their yards by planting daylilies and omamental grass. They boug their supplies from the same store. Dan spent $50 on 8 daylilies and 6 bunches of ornamental grass. Kali spent $22 on 1 daylily and 6 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.
6) The senior classes at High School A and High School B planned separate trips to the state fair.
The senior class at High School A rented and filled 3 vans and 3 buses with 183 students. High School B rented and filled 12 vans and 5 buses with 347 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
7) DeShawn and Darryl are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of double chocolate cookie dough. DeShawn sold 1 package of sugar cookie dough and 11 packages of double chocolate cookie dough for a total of S138. Darryl sold 12 packages of sugar cookie dough and 8 packages of double chocolate cookie dough for a total of $168. What is the cost each of one package of sugar cookie dough and one package of double chocolate cookie dough?
8) Darryl and Ashley are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Darryl sold 2 bags of windflower bulbs and 4 bags of daffodil bulbs for a total of $64. Ashley sold 4 bags of windflower bulbs and I bag of daffodil bulbs for a total of $44. Find the cost each of one bag of windflower bulbs and one bag of daffodil bulbs.
9) Abhasra and Mark cach improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Abhasra spent $101 on 12 fP of grass sod and 7 pots of ivy. Mark spent $116 on 3 ft? of grass sod and 10 pots ofivy. Find the cost of one ft? of grass sod and the cost of one pot of ivy.
10) The school that Perry goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 adult tickets and 5 child tickets for a total of $36. The school took in $8 on the second day by selling I adult ticket and I child ticket. What is the price each of one adult ticket and one child ticket?
For the linear equations:
One senior citizen ticket costs $3, and one student ticket costs $13.A single adult ticket costs $6, while a single student ticket costs $2.A single hosta costs $10, whereas a single shrub costs $12.One bundle of decorative grass costs $3, whereas one daylily costs $2.One bundle of decorative grass costs $9, whereas one daylily costs $7.There are 21 pupils each van and 45 students every bus.Two packages of cookie dough, one for sugar cookies and one for double chocolate, cost $6 and $12 respectively.One bag of daffodil bulbs costs $8, whereas one bag of windflower bulbs costs $12.$5 will buy you one foot of grass sod, and $11 will get you one pot of ivy.A single adult ticket costs $4, while a single kid ticket costs $4.How to determine cost?1. Let the price of one senior citizen ticket be $x and the price of one student ticket be $y. Set up the following system of equations:
7x + 7y = 112
4x + 7y = 103
Solving for x and y:
x = $3
y = $13
Therefore, the price of one senior citizen ticket is $3 and the price of one student ticket is $13.
2. Let the price of one adult ticket be $x and the price of one student ticket be $y. Set up the following system of equations:
3x + 6y = 48
3x + 3y = 30
Solving for x and y:
x = $6
y = $2
Therefore, the price of one adult ticket is $6 and the price of one student ticket is $2.
3. Let the cost of one hosta be $x and the cost of one shrub be $y. Set up the following system of equations:
3x + y = 42
7x + y = 82
Solving for x and y:
x = $10
y = $12
Therefore, the cost of one hosta is $10 and the cost of one shrub is $12.
4. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:
x + 5y = 52
5x + 5y = 100
Solving for x and y:
x = $7
y = $9
Therefore, the cost of one daylily is $7 and the cost of one bunch of ornamental grass is $9.
5. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:
8x + 6y = 50
x + 6y = 22
Solving for x and y:
x = $2
y = $3
Therefore, the cost of one daylily is $2 and the cost of one bunch of ornamental grass is $3.
6. Let the number of students each van can carry be x and the number of students each bus can carry be y. Set up the following system of equations:
3x + 3y = 183
12x + 5y = 347
Solving for x and y:
x = 21
y = 45
Therefore, each van can carry 21 students and each bus can carry 45 students.
7. Let the cost of one package of sugar cookie dough be $x and the cost of one package of double chocolate cookie dough be $y. Set up the following system of equations:
x + 11y = 138
12x + 8y = 168
Solving for x and y:
x = $6
y = $12
Therefore, the cost of one package of sugar cookie dough is $6 and the cost of one package of double chocolate cookie dough is $12.
8. Let the cost of one bag of windflower bulbs be $x and the cost of one bag of daffodil bulbs be $y. Set up the following system of equations:
2x + 4y = 64
4x + y = 44
Solving for x and y:
x = $8
y = $12
Therefore, the cost of one bag of windflower bulbs is $12 and the cost of one bag of daffodil bulbs is $8.
9. Let the cost of one foot of grass sod be x and the cost of one pot of ivy be y. Then write two equations based on the given information:
12x + 7y = 101
3x + 10y = 116
Solving for x and y:
x = 5
y = 11
Therefore, the cost of one foot of grass sod is $5 and the cost of one pot of ivy is $11.
10. Let the price of one adult ticket be x and the price of one child ticket be y. Then write two equations based on the given information:
4x + 5y = 36
x + y = 8
Solving for x and y:
x = 4.
y = 4.
Therefore, the price of one adult ticket is $4 and the price of one child ticket is $4.
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Why might higher rates of tobacco production have given the confederacy an advantage? I will give you 50 points
The impact of tobacco production on the war effort was likely just one of many factors, and there were numerous other economic, political, and military factors at play during this time period.
Since, From a historical perspective, higher rates of tobacco production might have given the Confederacy an advantage during the American Civil War because tobacco was a highly valuable and profitable crop at that time.
Here, The Confederacy relied heavily on the export of cotton and tobacco to fund their war effort, and the higher rates of tobacco production would have allowed them to generate more revenue through exports.
Additionally, tobacco was used as a form of currency and could be traded for goods and services, which would have helped support the Confederate economy.
However, the impact of tobacco production on the war effort was likely just one of many factors, and there were numerous other economic, political, and military factors at play during this time period.
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Porter's family ordered 3 pizzas. They ate 1 of the pizzas. How much pizza is left?
A. 1 7/12 pizzas
B. 2 5/12 pizzas
C. 1 5/12 pizzas
D. 2 7/12 pizzas
If Porter's family ordered 3 pizzas and they ate 1 pizza, then they are left with 2 pizzas.
None of the given options is correct.
Given information:
Porter's family ordered 3 pizzas. They ate 1 of the pizzas.
Since the question is asking for the amount of pizza left, the answer can be evaluated by subtraction operation:
Mathematical operations like subtraction exist.
It is employed to delete words or objects from the phrase.
As per the above concept, apply in the situation,
3 pizzas - 1 pizza = 2 pizzas.
Therefore, the correct answer is not listed among the options provided.
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gasoline prices. the u.s. energy information administration (us eia) reported that the average price for a gallon of regular gasoline is $2.62. the us eia updates its estimates of average gas prices on a weekly basis. assume the standard deviation is $0.25 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the us eia to use if they wish to report each of the following margins of error at a specified confidence level. a. the desired margin of error is $0.10 at a 91.5% confidence level. (round up to nearest integer ) b. the desired margin of error is $0.07 at a 95.845% confidence level. (round up to nearest integer ) c. the desired margin of error is $0.05 at a 97.268% confidence level. (round up to nearest integer )
a) The appropriate sample size to achieve a margin of error of $0.10 with a confidence level of 91.5% is 111
b) The appropriate sample size to achieve a margin of error of $0.07 with a confidence level of 95.845% is 301
c) The appropriate sample size to achieve a margin of error of $0.05 with a confidence level of 97.268% is 543 integer).
a) To achieve a margin of error of $0.10 with a confidence level of 91.5%, the appropriate sample size can be calculated as follows:
Margin of error (E) = z* (standard deviation/√(n))
where z* is the z-value associated with the desired confidence level, and n is the sample size.
We can rearrange the formula to solve for n:
n = [(z* * standard deviation) / E]²
Substituting the given values:
z* = 1.70 (from the z-table for 91.5% confidence level)
Standard deviation = $0.25
E = $0.10
n = [(1.70 * 0.25) / 0.10]² = 110.25 ≈ 111 (rounding up to the nearest integer).
b) To achieve a margin of error of $0.07 with a confidence level of 95.845%, the appropriate sample size can be calculated as follows:
z* = 1.99 (from the z-table for 95.845% confidence level)
Standard deviation = $0.25
E = $0.07
n = [(1.99 * 0.25) / 0.07]² = 300.06 ≈ 300 (rounding up to the nearest integer).
c) To achieve a margin of error of $0.05 with a confidence level of 97.268%, the appropriate sample size can be calculated as follows:
z* = 2.34 (from the z-table for 97.268% confidence level)
Standard deviation = $0.25
E = $0.05
n = [(2.34 * 0.25) / 0.05]² = 542.52 ≈ 543 (rounding up to the nearest integer).
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4x9= 15
x = [?]
Solve the following
help please asappppp
Answer: F,B,D
Hope this helps : )
Step-by-step explanation:
Answer:
B, C, F
Step-by-step explanation:
B, C, and F are the only correct statements
Draw the 2 triangles, correctly labeled, and compare them. This makes it easy to visualize which choices are true vs. false.
Whoever gets it right gets brainliest
Associated terms:
Cube: A three-dimensional geometric shape with six square faces, all of which are congruent (have the same size) and perpendicular to each other.Surface area: The total area of all the faces of a solid object. For a cube, this is the sum of the areas of all six faces.Square unit: The unit of measurement used for surface area, typically expressed in square inches (in^2), square centimetres (cm^2), or square meters (m^2).The formula for Calculating the Surface Area of a Cube:
[tex]SA=6s^2[/tex]
s = the side length
this formula works out as the area for a square is L x W which is the same thing (s^2)SA is a sum of areas of each face, the same area for all 6 faces, hence we multiply by 6[tex]SA=6(4in)^2 = 54inches^2[/tex]
15 columns of equal number of tiles are paved in a path. If the total number of tiles used are 1845, then how many rows of tiles are there in the path?
The total number of rows of tiles paved in a path 1845 total used tiles is equal to 15.
Total number of tiles used = 1845
Number of columns = 15
Let us assume that there are 'n' rows of tiles in the path.
Since there are 15 columns of equal number of tiles.
Divide the total number of tiles used by the number of columns to get the number of tiles in each column.
⇒Number of tiles in each column = Total number of tiles / Number of columns
⇒Number of tiles in each column = 1845 / 15
⇒Number of tiles in each column = 123
So each column has 123 tiles.
The number of rows,
= Divide total number of tiles used by the number of tiles in each row same as number of tiles in each column.
⇒ Number of rows = Total number of tiles / Number of tiles in each row
⇒ Number of rows = 1845 / 123
⇒ Number of rows = 15
Therefore, there are 15 rows of tiles in the path.
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what is meant by pseudorandom numbers?a sequence of numbers, or any digital data satisfying one or more statistical tests for randomness but produced by a definite mathematical procedure.what is the purpose of a simulation?to imitate random chance behavior.what is meant by a trial?each time a simulate of the answer to a question is found.what are the steps for conducting a simulation?
A series of numbers or any digital data that passes one or more statistical tests for randomness but was generated using a specific mathematical technique is known as a pseudorandom number.
Because the algorithm can repeat the sequence, it is known as "pseudo" random because the numbers are not completely random.
The difference between random and pseudorandom is thus made. For our purposes, anything is considered pseudorandom if it is statistically random. Pseudorandom indicates that it is created by an algorithm that creates a sequence of bits that seem random but are actually calculated using an algorithm.
The following characteristics of a pseudorandom sequence generator should be present: strong output sequence randomization features, speed and efficiency, reproducibility, and long period.
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In circle J with m/HJK = 34°, find the m/HLK.
Type here to search
K
H
L
27
The measure of angle HLK from the circle J is 34°.
Given that, in circle J, the measure of angle HJK is 34°.
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Here, measure of arc HK =34° (∵∠HJK=34°)
Now, measure of arc HK = ∠HLK=34°
Therefore, the measure of angle HLK from the circle J is 34°.
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the alternating series converges to s and the table above shows values of the partial sum or four values of n. if s8 is used to approximate the value s of the series, what is the alternating series error bound?
The alternating series error bound is 0.05.
Firstly, let us recall what the alternating series means. An alternating series is a series whose terms are alternatively positive and negative. Mathematically, an alternating series is represented as:
s = a1 - a2 + a3 - a4 + a5 - ...
Where a1, a2, a3, ... are positive real numbers.
Now, let us suppose that the alternating series converges to a limit s. In that case, we know that the sequence of partial sums {Sn} converges to s as well. Mathematically, we can represent this as:
lim n→∞ Sn = s
In the question, we are given the values of the partial sum for four values of n. Let us suppose that these values are:
s2 = 2
s4 = 3.1
s6 = 3.45
s8 = 3.55
Therefore, we know that |a9| is less than or equal to |a8|. Mathematically, we can represent this as:
|a9| <= |a8|
Therefore, the alternating series error bound is given by:
|s - s8| <= |a9| <= |a8|
Now, to determine the error bound, we need to find the value of |a8|. To do this, we can use the fact that:
a8 = s9 - s8
From the values given in the table, we know that s9 = 3.6. Therefore,
|a8| = |s9 - s8| = |3.6 - 3.55| = 0.05
This means that if we use s8 to approximate the value of the series, the actual value of the series is within 0.05 of the approximation.
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Factor each completely and show your work.
2v^2 + 11v + 5
Answer:(2v+1)(v+5)
Step-by-step explanation:
your factors should add up to 11 and multiply to 5;
possible facotrs: 1,5
2x5=10
+1=11
yay
What do you notice about the graph?
What do you notice about the equation?
All points on the graph is collinear and slope of the equation is 1 and y - intercept is 0.
What is graph?
Graphs can be represented visually as diagrams with the vertices as points or circles and the edges as lines or arrows connecting them.
Graphs can be directed or undirected depending on whether the edges have a specific direction or not. They can also be weighted meaning which each side has a numerical value or weight associated with it.Graphs have numerous applications in different fields including computer science, social sciences, physics and biology. They are used to model networks such as social networks and transportation networks and communication networks to name a few examples.
They are also used in algorithms for searching and optimization as well as in data visualization and analysis.
Here given equation is y = x.
If we compare this equation with the equation y = mx+c then we will get m = 1 and c = 0 where m is slope and y is y-intercept.
It is also clear here y and x contain same value.
In the given graph, it is clear that the line passes through (-2,-2), (-1,-1), (0,0), (1,1), (2,2) e.t.c
So, all points on the graph is collinear.
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how many zero pairs can be created in the model below?2 x tiles and 1 negative x tile. 3 plus sign tiles and 2 negative tiles.0123
When an optimistic tile is coupled to a negative tile in the provided framework a zero pair may be produced, giving rise to a net value of 0.
We can make a zero pair by using these as there are two x tiles as well as one negative x tile. We also have two negative and three plus sign tiles, which can be used to make one more pair of zeros. As a result, this approach allows for the creation of a pair zero pairs altogether.
We can put a minus x tile close to each of its positive x tiles to make the initial zero pair. Net value will be zero as a result of this.
We can put one negative tile behind two positive tiles to make the second zero pair. This will result in a net value of zero as well.
Overall, understanding the concept of zero pairs is essential in basic algebra and helps in simplifying expressions by eliminating terms that add upto zero.
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factor to write an equivalent expression 36x-16
Answer:
[tex]36x - 16 = 4(9x - 4)[/tex]
Find the volume of the pyramid and round to the nearest tenth.
A) 33.3cm^3
B) 37.5cm^3
B) 66.7cm^3
D) 100cm^3
The volume of the pyramid is 33.3 cm³.
How to find the volume of a pyramid?The diagram above is a triangular pyramid. The volume of the triangular pyramid can be calculated as follows:
volume of triangular pyramid = 1 / 3 × base area × height
base area = 1 / 2 bh
base area = 1 / 2 ×5 × 5
base area = 25 / 2
base area = 12.5 cm
volume of triangular pyramid = 1 / 3 × 12.5 × 8
volume of triangular pyramid = 100 / 3
volume of triangular pyramid = 33.3333333333
volume of triangular pyramid = 33.3 cm³
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Six identical right-angled triangles are arranged to make a rectangle.
7 cm
? cm
Calculato the length of the rectangle.
The calculated length of the rectangle is 10.5 cm
Calculating the length of the rectangle.From the question, we have the following parameters that can be used in our computation:
Six identical right-angled triangle
The length of the right-angled triangle is
base length = 7 cm
based on the arrangement, we have
Rectangle length = base length + 1/2 * base length
So, we have
Rectangle length = 7 + 1/2 * 7
Evaluate
Rectangle length = 10.5
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I have to use elimination on these two problems to find the x,y the problems are set up exactly like this
-2x+2y=7
4x+2y=-5
The solution is, the values of x & y is 1 and 3.
The given equations are
y = -x + 4
y = 3x
We would substitute y = 3x into y = -x + 4. It becomes
3x = - x + 4
Adding x to both sides of the equation, we have
3x + x = - x + x + 4
4x = 4
Dividing both sides of the equation by 4, we have
4x/4 = 4/4
x = 1
Substituting x = 1 into y = 3x, we have
y = 3 * 1
y = 3
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complete question:
Problem 1) Y=-x+4 Y=3x
Given P(A) = 0.4, P(B) = 0.16 and P(AUB) = 0.436, find the value of
P(ANB), rounding to the nearest thousandth, if necessary.
Answer:
0.436 ≠ 0.064
Step-by-step explanation:
P(A and B)=P(A) x P(B)
0.436 = 0.4 x 0.16
0.436 ≠ 0.064
NEED HELP ASAP + 30 POINTS
a small pool contains 30,000 gallons of water. the pump filters water every 8 hours. what is the rate, in gallons per hour, of the pump for this pool?
Step-by-step explanation:
this means it filters the whole water (30,000 gallons) every 8 hours.
so the pump pumps with the rate of
30,000 gallons / 8 hours
but we need the adjusted rate for gallons per 1 hour.
so, what do we do ?
we divide top and bottom (numerator and denominator) of the fraction (every ratio is also a fraction) by 8. it is important that we use the same value for both to keep the overall value of the fraction unchanged.
so we get
30,000/8 / 8/8 = 3,750 gallons / 1 hour
please help it would mean alot!
At a point 65 feet from the base of a church, the angles of elevation to the bottom of the steeple and the top of the steeple are 35° and 43°, respectively. Find the height of the steeple.
Answer:
15.10 ft to nearest hundredth.
Step-by-step explanation:
We have 2 right triangles one within the other
For the larger triangle
tan 43 = h / 65 where h is the total height to the top of steeple from ground
h = 65 tan 43
For small triangle
tan 35 = h2 / 65 where h2 is the hoght of the bottom of steeple from the ground
h2 = 65 tan 35
So height of the steeple
= h - h2
= 65 tan43 - 65 tan35
= 15.099 feet.
