1303045464 more tickets were sold last year than this year.
According to the given question.
Number of lottery tickets were sold last year = 5,526,572,333
And, the total number of tickets sold this year = 4,223,526,869
To find the how many more tickets were sold last year than this year, we will subtract the number of of tickets sold this year from the number of lottery tickets were sold last year.
Therefore, the numebr of more tickets were sold last year
= 5,526,572,333 - 4,223,526,869
= 1303045464
Hence, 1303045464 more tickets were sold last year than this year.
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Multiplying by which number is equivalent to finding 123.123%?
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Answer: Multiplying by 1.23123
Explanation: Slide the decimal points over by 2 points
I hope this helped!
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Multiplying by 1.23123 number is equivalent to finding 123.123%.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
123.123%
now, we have,
Multiplying by 1.23123 number is equivalent to finding 123.123%.
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In Exercises 33−40, use the algebraic tests to check for symmetry with respect to both axes and the origin. y=x4−x2+3
The function y = x⁴ - x² + 3 exhibits symmetry with respect to the y-axis and the origin, but not the x-axis.
How to check the symmetry of the functionIn order to check the symmetry of the function y = x⁴ - x² + 3, we will use algebraic tests for symmetry with respect to the x-axis, y-axis, and the origin.
1. y-axis symmetry:
Replace x with -x and see if the equation remains unchanged. If so, it has y-axis symmetry. y = (-x)⁴ - (-x)² + 3 y = x⁴ - x²+ 3 (the original equation) Since the equation remains unchanged, it has y-axis symmetry.
2. x-axis symmetry:
Replace y with -y and x with -x, then solve for y. -y = (-x)⁴ - (-x)² + 3 -y = x⁴ - x² + 3 y = -x⁴ + x² - 3
The equation has changed, so there is no x-axis symmetry.
3. Origin symmetry:
Replace x with -x and y with -y, then solve for y. -y = (-x)⁴ - (-x)² + 3 -y = x⁴ - x² + 3 (the original equation)
Since the equation remains unchanged when both x and y are replaced with their negatives, it has origin symmetry.
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a portion or part of a population is called a:
Answer:
Step-by-step explanation:
The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.
I hope I have helped.
Could you please solve these? I will give five stars if correct.
9x−17=3x+7 Solve for x
−7b−1=−5(b+3) Solve for b
Answer:
x=4 b=-4/3
Step-by-step explanation:
for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.
for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4
on wednesday, a student reads 812 pages of a book. on thursday, the student reads 3 times as many pages of the book.how many pages does the student read on thursday?
Therefore, the student reads 2,436 pages on Thursday by the given equation.
According to the given information, the student reads three times as many pages on Thursday as on Wednesday. Let's say that the number of pages read on Wednesday is represented by the variable w. Then, we can write the equation:
Pages on Thursday = 3 * Pages on Wednesday
In this equation, we know that Pages on Wednesday = w. So we can substitute w into the equation and get:
Pages on Thursday = 3w
We are also given that on Wednesday, the student read 812 pages. So we can substitute 812 for w and get:
Pages on Thursday = 3 * 812
Simplifying, we get:
Pages on Thursday = 2,436
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A random variable X is not normally distributed. It has a mean of 27 and a standard deviation of 4. List the givens with correct symbols: =27 =4 a) If you take a sample of size 19, can you say what the shape of the sampling distribution for the sample mean is? Why or why not? Check all that apply. n is at least 30 σ is known n is less than 30 σ is unknown population is normal population is not normal b) For a sample of size 19, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample mean when n=19 : standard deviation of the sampling distribution of the sample mean when n=19 rounded to two decimal places: c) If you take a sample of size 34, can you say what the shape of the distribution of the sample mean is? Why or why not? n is at least 30 n is less than 30 population is not normal σ is known population is normal σ is unknown d) For a sample of size 34, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample meanwhen n=34 : standard deviation of the sampling distribution of the sample mean when n=34 rounded to two decimal places:
In this problem, we are given a random variable X that is not normally distributed. It has a mean of 27 and a standard deviation of 4. We are asked to determine the shape and parameters of the sampling
(a) The shape of the sampling distribution for the sample mean depends on the sample size and the distribution of the population. In this case, since the population distribution is not specified, we cannot determine the shape of the sampling distribution based on the given information. We need additional information about the population distribution.
(b) For a sample of size 19, we can still calculate the mean and standard deviation of the sampling distribution of the sample mean. The mean of the sampling distribution of the sample mean is equal to the population mean, which is given as 27.
The standard deviation of the sampling distribution of the sample mean, also known as the standard error, is equal to the population standard deviation divided by the square root of the sample size. Therefore, the standard deviation of the sampling distribution of the sample mean when n=19 is 4 / √19 ≈ 0.918 (rounded to two decimal places).
(c) Similar to part (a), we cannot determine the shape of the distribution of the sample mean for a sample size of 34 without additional information about the population distribution.
(d) However, we can calculate the mean and standard deviation of the sampling distribution of the sample mean when n=34. The mean of the sampling distribution of the sample mean is still equal to the population mean, which is 27.
The standard deviation of the sampling distribution of the sample mean is the population standard deviation divided by the square root of the sample size. Therefore, the standard deviation of the sampling distribution of the sample mean when n=34 is 4 / √34 ≈ 0.686 (rounded to two decimal places).
In summary, the shape of the sampling distribution and the parameters of the sampling distribution of the sample mean depend on the sample size and the distribution of the population. Without information about the population distribution,
we cannot determine the shape of the sampling distribution. However, we can still calculate the mean and standard deviation of the sampling distribution of the sample mean using the given population mean and standard deviation.
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Cubic bins with closed tops are used to transport melons to the farmers market. The edge length of each bin is 1. 5 m. What is the surface area of the outside of one of the bins? Drag and drop the correct answer into the box. Response area m².
Cube has all six faces as square. The surface area of the outside of one of the bins is 13.5 m².
What is the surface area of the cube?The surface area of the cube is the sum of the area of all the sides of the cube. All the six sides of the cube are made of the same size square, therefore, the surface area of the cube is 6s², where s is the length of its single side.
As it is given that the melons are kept in cubic bins whose top is closed, therefore, the cubic bin will have all six sides, with the length of the side as 1.5m.
We know the formula for the surface area of the cube, therefore, the surface area of the cubic bin is equal to the surface area of the cube with side 1.5m,
\(\text{Surface area of the cube} = 6s^2\)
\(= 6(1.5)^2\\\\= 6 \times 2.25\\\\=13.5\rm\ m^2\)
Hence, the surface area of the outside of one of the bins is 13.5 m².
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Is Paul's Online Math Notes a good enough source for self-teaching calculus 3 and ODE?
Yes, Paul's Online Math Notes is a good enough source for self-teaching calculus 3 and ODE.
The site is well-organized, with clear explanations and plenty of examples and practice problems. It also includes a section on differential equations, which is helpful for those studying ODE.
However, it is always a good idea to supplement your learning with additional resources, such as textbooks, online videos, and practice problems from other sources.
This will help you gain a deeper understanding of the material and ensure that you are well-prepared for exams.
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by what number do we multiply the initial enrollment to get the enrollment one decade later given a 30 % increase
The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
Describe the term percentage of the number?A value or ratio that might be stated as a fraction over 100 is thought to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its total and then multiply it by 100. The proportion ultimately refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.For the stated question-
Let initial enrollment = 100.
After one decade, the enrollment added 30% of the initial.
Thus,
= 100 + 30% of 100
= 100 + 130
= 130
Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
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I need help ASAP
What is the value of w-1(3)?
A
B
C
D
Answer:
its A -0.75
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i got it right on edge unit review
Please help me and it is not 12.
Value of
Answer:
Its 12
The correct answer is 12
the other angle also has to be 6x
6x+6x+3x=180
15x=180
x=12
Hope This Helps!!!
Nghiệm của phương trình sinx-cos2x=2
cos(2 x) + 2 = sin(x)
Solve for x over the real numbers:
sin(x) - cos(2 x) = 2
Transform sin(x) - cos(2 x) into a polynomial with respect to sin(x) using cos(2 x) = 1 - 2 sin^2(x):
-1 + sin(x) + 2 sin^2(x) = 2
Divide both sides by 2:
-1/2 + sin(x)/2 + sin^2(x) = 1
Add 1/2 to both sides:
sin(x)/2 + sin^2(x) = 3/2
Add 1/16 to both sides:
1/16 + sin(x)/2 + sin^2(x) = 25/16
Write the left hand side as a square:
(sin(x) + 1/4)^2 = 25/16
Take the square root of both sides:
sin(x) + 1/4 = 5/4 or sin(x) + 1/4 = -5/4
Subtract 1/4 from both sides:
sin(x) = 1 or sin(x) + 1/4 = -5/4
Take the inverse sine of both sides:
x = 2 π n + π/2 for n element Z
or sin(x) + 1/4 = -5/4
Subtract 1/4 from both sides:
x = 2 π n + π/2 for n element Z
or sin(x) = -3/2
sin(x) = -3/2 has no solution since for all x element R, -1<=sin(x)<=1 and -3/2<-1:
Answer: |
| x = 2 π n + π/2 for n element Z
x = 1/2 (4 π n + π) n element Z
What is the name of the angle pair for <2 and <4?
1
4
2.
Vertical Angles
O Corresponding Angles
Linear Pair
O Supplementary
Vertical angles. hope it helps.
Answer:
Vertical angles.
Step-by-step explanation:
Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.
Only answer if you know. What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The value of the probability P(A and B) is 6.
Option A is the correct answer.
We have,
In a Venn diagram, P(A and B) represents the probability of two events, A and B, both occurring simultaneously. T
The probability of A and B occurring together, P(A and B), is represented by the area of the intersection of the circles in the Venn diagram.
From the Venn diagram,
P(A and B) is the intersection of A and B.
So,
P(A and B ) = 6
Thus,
The value of the probability P(A and B) is 6.
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pointssssssssssssssssssssssssssssssss
Answer:
This is going to be deleted but thanks for the points
Step-by-step explanation:
Answer:
thank u so much !!!!
have a blessed day !!!
Given that the trinomial x^2+ 11x + 28 has a factor of x +4, what is the other factor?
Answer:
the other factor is (x+7)
Step-by-step explanation:
Given x^2+11x+28
factor into
x^2+7x + 4x + 28
=x(x+7) + 4(x+7)
= (x+4)(x+7)
Answer: the other factor is (x+7)
Calculate the area of the regular pentagon.
The area of the regular pentagon is 252.7m²
How to determine the valueThe formula that is used for calculating the area of a regular pentagon is expressed with the equation;
A = 5/2 x s x a
where the parameters are;
's' is the side of the pentagon 'a' is the apothem length.Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
apothem,a = s/2 tan (180/n)
Substitute the values
Apothem, a = 7.6/2 tan 16
a = 7.6/0.57 = 13.3m
Substitute the values, we get;
Area = 5/2 × 7.6 × 13.3
Multiply the values, we have;
Area = 505. 4/2
Divide the values, we get;
Area = 252.7 m²
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The useful life of an artificial heart valve is normally distributed with a mean of 50 months and a standard deviation of 7 months. Determine the probability that the valve will wear out within 57 month(s) of its installation (Find P( X < 57 ).
The probability that the artificial heart valve will wear out within 57 months of its installation (P(X < 57)) is approximately 0.8413 or 84.13%.This means there is an 84.13% chance that the valve will wear out within 57 months of its installation, based on the given mean and standard deviation.
To determine the probability that an artificial heart valve will wear out within 57 months of its installation, we need to find the probability of the valve's useful life being less than 57 months (P(X < 57)). Given a normally distributed useful life with a mean of 50 months and a standard deviation of 7 months, we can calculate this probability using the standard normal distribution.
To find P(X < 57), we need to standardize the value of 57 using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
Substituting the values into the formula, we get z = (57 - 50) / 7 = 1.
Next, we can look up the corresponding cumulative probability of 1 in the standard normal distribution table or use a calculator. The cumulative probability for z = 1 is approximately 0.8413.
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An eight ft board is cut into two pieces. One piece is 2 ft longer thant he other. How long are the pieces?
Answer: 6 ft and 2 ft
Step-by-step explanation:
Answer:
6ft and 2ft
Step-by-step explanation:
8ft board ÷ 2 pieces = 4ft each
4ft and 4ft boards. But one of them is longer by 2ft so:
4ft - 2ft = 2ft
4ft + 2 ft = 6ft
So, one piece is 2ft and the other piece is 6ft
Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.
Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
\(NM= 4x\)
\(KM = 6x - 16\)
Required
The side lengths and missing angles
Since JKMN is as square, then:
\(NM = KM\) -- all sides are equal
\(4x = 6x - 16\)
Collect like terms
\(4x - 6x = - 16\)
\(-2 x = - 16\)
Divide by -2
\(x = 8\)
Substitute \(x = 8\) in \(NM= 4x\)
\(NM = 4 * 8\)
\(NM = 32\)
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. the probability that x equals 19.62 is . a. 0 b. .0055 c. .4945 d. .9945
The probability of x being equal o 19.62 is d) 0.
It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.
Now, Normal distribution is a continuous distribution.
This implies that the probability is measured over an interval, taking an infinite number of points in between.
If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.
Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.
Hence, the probability that x = 19.62 will be 0.
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When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of the amount of the loan A and the current interest rate i (as a percent); that is, R = f(A). Interpret each of the following. (a) R140,000, 7) - 776.89 For a loan of $140,000 at 7% interest, the monthly payment is $776.89. For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7.7689% interest, the monthly payment is $700.
The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).
The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.
The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.
However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.
This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.
Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.
Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.
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Help please 50 points for u
Answer:
Below
Step-by-step explanation:
Most of these can be found by knowing that the internal angles of a triangle sum to 180 degrees.....
the probability that the same kayla will score above 80% on a mathematics test is 0.70. kayla will take four tests this semester. we want to find the probability she will score above 80% on exactly three out of the four tests. what is the probability of kayla scoring above 80% on exactly three out of the four tests?
The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
Probability
Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:
0.6 x 0.6 x 0.6 x 0.4 = X
0.216 x 0.4 = X
0.0864 = X
0.0864 x 100 = 8.64
Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
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find the mean of the table below.
Answer: 12.5
Step-by-step explanation:
So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring is 2 so, 2x15 which is 30. And finally theres 20 minutes and the amount of times occuring is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.
You are doing a case study of the death of John F Kennedy. You employ many data collection methods in
creating your case study. Here is an excerpt:
John F Kennedy was assassinated on November 22, 1963 in Dallas, Texas. Of the people that I
surveyed that were alive at the time, 90% of them knew exactly where they were when they heard the
news. My grandmother told me that she was in a college class when the professor came in and told
the class the news. A tear came to her eye when she remembered that day.
Which line reveals information obtained by a questionnaire?
A. John F Kennedy was assassinated on November 22, 1963 in Dallas, Texas.
B. Of the people surveyed that were alive at the time, 90% of them knew exactly where they were
when they heard the news.
C. My grandmother told me that she was in a college class when the professor came in and told the
class the news
D. A tear came to her eye when she remembered that day.
Answer:
B. Of the people surveyed that were alive at the time, 90% of them knew exactly where they were when they heard the news.
Step-by-step explanation:
The line which reveals that the information was obtained by a questionnaire is B. Of the people surveyed that were alive at the time, 90% ...
After analyzing the questionnaire with some computations, the researcher concluded that 90% of the persons surveyed knew their exact location when they received the news of John F. Kennedy's assassination.
This piece of information is unlike those provided by options A), C), and D), which did not provide quantifiable data obtained from a research analysis.
Thus, the statement that reveals that the information was analytically obtained through a questionnaire is B.
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Can you have a triangle with 2cm 3cm 5cm Class 7?
No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .
What is a Triangle ?
A triangle can be defined as the closed figure , that is made up of three line segments .
The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .
The sides of triangle are given to be : 2cm , 3cm and 5cm ;
on adding the two sides ,
we get ;
⇒ 2 + 3 = 5 > 5 ; False
⇒ 3 + 5 = 8 > 2 ; True
⇒ 2 + 5 = 7 > 3 ; True
All the conditions are not met ,
Therefore , the given sides cannot form a triangle .
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Vibrations of harmonic motion can be represented in a vectorial form. Analyze the values of displacement, velocity, and acceleration if the amplitude, A=2+T, angular velocity, ω=4+U rad/s and time, t=1 s. The values of T and U depend on the respective 5th and 6th digits of your matric number. For example, if your matric number is AD201414, it gives the value of T=1 and U=4.
The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).
Harmonic motion is a motion that repeats itself after a certain period of time.
Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.
The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.
Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.
Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.
A simple harmonic motion is a projection of uniform circular motion in a straight line.
The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.
Let's now calculate the values of displacement, velocity, and acceleration.
Displacement, s = A sin (ωt)
Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)
So, s = 3 sin (8 x 1) = 2.68 m (approx)
Velocity, v = Aω cos(ωt)
Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)
Acceleration, a = -Aω2 sin(ωt)
Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)
Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
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Complete each table for the given sequence. Then write the ordered pair
Answer:
table will be 7, 11, 15,19
Order pairs will be (1,7)(2,11)(3,15)(4,19)
the fifth term of the sequence will be 23
Step-by-step explanation:
4 (1)+3=7
4(2)+3=11
4(3)+3=15
4(4)+3= 19
4(5)+3=23
Hope this helps
A statement is given:
If a quadrilateral has two pairs of opposite sides congruent, then it is a parallelogram.
Select all of the statements that are true.
All of the statements that are true include the following:
A. The hypothesis is “A quadrilateral has two pairs of opposite sides congruent.”
D. The conclusion is “It is a parallelogram.”
F. Parallelograms are quadrilaterals.
What is a hypothesis?In Science and Mathematics, a hypothesis is primarily considered to be a tentative or an educated guess and it can be defined as a testable explanation for an observation, result, or a specific experimentation problem, especially through the use of the "if . . . then . . . because" format.
In Mathematics and Geometry, a quadrilateral can be defined as a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
In conclusion, this quadrilateral is composed of two pairs of opposite sides that are congruent and as such, we can logically deduce that it is also a parallelogram.
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Complete Question:
A statement is given:
"If a quadrilateral has two pairs of opposite sides congruent, then it is a parallelogram."
Select all of the statements that are true.
The hypothesis is “A quadrilateral has two pairs of opposite sides congruent.”
The conclusion is “A quadrilateral has two pairs of opposite sides congruent.”
The hypothesis is “It is a parallelogram.”
The conclusion is “It is a parallelogram.”
Quadrilaterals are parallelograms.
Parallelograms are quadrilaterals.