Answer:
6. X= 121
7. x= 18
8. X= 7
9. x= 31
Step-by-step explanation: do u need the steps?
A large school district found that 88 of 100 randomly selected students at East High School had internet access
at home. A separate random sample from West High showed 79 of 100 students had internet access at home.
Administrators used those results to make a 90% confidence interval to estimate the difference between the
proportion of students at each school who have internet access at home (PE - Pw). The resulting interval was
approximately 0.09 0.086. They want to use this interval to test H, : PE = Pw versus H : PE + Pw at
the a = 0.10 significance level. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the a=0.10
level of significance?
It can be deduced that the p-value is less than the level of significance.
What is a level of significance?It should be noted that the level of significance simply means the measure of the strength of the evidence that's is present in a sample before the null hypothesis is rejected.
From the complete question, the confidence interval is a given as (0.004, 0.176). In this case, the p-value is less than the level of significance and they should conclude that there's a difference between the proportions.
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ron works 5 out of the 7 days of the week. how many possible schedules are there to work on tuesday or wednesday or both?
The total number of possible schedules is given as follows:
20.
What is the combination formula?The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The options are given as follows:
Tuesday but not Wednesday: Combination of 4 days from a set of 5 working.Wednesday but not Tuesday: Combination of 4 days from a set of 5 working.Wednesday and Tuesday: Combination of 3 days from a set of 5.Hence the total number of options is given as follows:
2 x C(5,4) + C(5,3) = 2 x 5 + 10 = 20.
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helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
classify the real numbers as rational or irrational numbers.
The real numbers can be classified as either rational or irrational numbers.
1. Rational Numbers:
Rational numbers can be expressed as the ratio (or fraction) of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero. Some examples of rational numbers include 1/2, -3/4, and 5.
2. Irrational Numbers:
Irrational numbers cannot be expressed as the ratio of two integers. They are non-repeating and non-terminating decimals. Irrational numbers can be positive or negative. Some examples of irrational numbers include √2, π (pi), and e (Euler's number).
It is important to note that the set of real numbers contains both rational and irrational numbers. Every rational number is a real number, but not every real number is a rational number. This means that there are real numbers that cannot be expressed as a fraction.
In summary, the classification of real numbers as rational or irrational depends on whether they can be expressed as a ratio of integers (rational) or not (irrational). The set of real numbers contains both rational and irrational numbers, providing a comprehensive representation of all possible values on the number line.
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A) Work out
16. 3-4. 97 + 8. 6
(2)
I
b) Work out
2164. 89 +7
(2)
Using BODMAS, the answers to both subparts are shown:
(A) 3-4*97 + 8.6: -393.6
(B) 2164*89+7: 1,92,603
What is BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.
B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction are all abbreviated as BODMAS.
(A) 3-4*97 + 8.6
Using BODMAS:
3-388+8.6
3-396.6
-393.6
(B) 2164*89+7
Using BODMAS:
2164*89+7
1,92,596+7
1,92,603
Therefore, using BODMAS, the answers to both subparts are shown:
(A) 3-4*97 + 8.6: -393.6
(B) 2164*89+7: 1,92,603
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Write the algebraic expression to represent "Eight
more than a number".
Answer:
8<x
Step-by-step explanation:
Allagater eats the bigger number
Enter the value of p so that the expression 2(n+7) is equivalent to (n+p)2
5. The absolute minimum value of \( f(x)=x^{3}-3 x^{2}-9 x+1 \) on the interval \( [-2,4] \) is:
The minimum value of the given function on the interval [–2, 4] is to be found. That is to say, we need to determine the absolute minimum value of the function f(x) = x³ – 3x² – 9x + 1 for the interval [–2, 4].
To locate the critical points of the function, let's find its derivative: `f′(x) = 3x² – 6x – 9`.
Now we can equate this derivative to zero in order to locate its critical points. We'll also notice that we can factorize the equation `f′(x) = 3(x – 3)(x + 1)`.
Thus, we see that the critical points of f(x) are x = –1 and x = 3. This implies that f(x) attains either its maximum or minimum at these critical points, or at the endpoints of the interval [–2, 4].
We can now evaluate the function at each of these values of x in order to determine which of them corresponds to the absolute minimum value of the function on the interval [–2, 4].f(–2) = –1f(–1) = 14f(3) = –35f(4) = 11
Therefore, the minimum value of the function on the interval [–2, 4] is –35 and it is achieved at the point x = 3.
This is the absolute minimum value of the function on the given interval.
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Prove that e^x,xe^x, and x^2e^x are linearly independent over R
Given functions are e^x, xe^x, and x^2e^x. To prove that these functions are linearly independent over R, we need to show that no linear combination of these functions can equal to the zero function. Let us assume that some linear combination of these functions can equal the zero function. Then this would mean that there exist constants a, b, and c such that:
ae^x + bxe^x + cx^2e^x = 0
We need to prove that a = b = c = 0 is the only solution. To do this, we can use the method of differentiation. Differentiating the above equation once gives:
ae^x + be^x + bxe^x + 2cxe^x = 0
Now, we can substitute x = 0 in the above equation, which gives:
a + b = 0
Differentiating the equation again gives:
ae^x + 2be^x + 2cxe^x + 2ce^x = 0
Substituting x = 0 in the above equation, we get:
a + 2b = 0
Solving the above equations, we get:
a = -b, and 2b = -a
Substituting the value of a in the second equation, we get:
2b = b/2
b = 0
Substituting the value of b in the first equation, we get:
a = 0
Hence, we have proved that a = b = c = 0 is the only solution, which means that e^x, xe^x, and x^2e^x are linearly independent over R.
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We have proved that \(e^x, xe^x, and x^2e^x\)are linearly independent over R.
We are given that \(e^x, xe^x, and x^2e^x\) are the three given functions.
We need to prove that these are linearly independent over R.
Let's assume that a, b, and c are real numbers such thata\(e^x + b xe^x + c x^2e^x = 0\) for all x belonging to R.
If we prove that a, b, and c are zero then we can say that \(e^x, xe^x, and x^2e^x\) are linearly independent.
Let's differentiate the above equation with respect to x.
Now,\(ae^x + (b + bx) e^x + (c + 2cx)e^x = 0 or e^x (a + b + bx + c + 2cx) = 0\) for all x belonging to R.As \(e^x\) is not zero for all x belonging to R, we have \(a + b + bx + c + 2cx = 0\) for all x belonging to R.
If we put x = 0, we get a + c = 0
If we put x = 1, we get a + b + 3c = 0
If we put x = -1, we get a - b + c = 0
Solving these three equations, we get a = b = c = 0.
Hence, we can conclude that \(e^x, xe^x, and x^2e^x\) are linearly independent over R.
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Robert graded his friend Sam's practice test, and gave him a 72%. Sam checked it again and found that he really made 80%. Robert
said, "Relax; l ohly made an error of 8%." Is Robert correct?
A) Yes; 80% - 72% = 8%
B) Yes; 8% less then the score or 80% would be 72%
C) No; robert actually made a error of 10% since 8/8” = 10
D) No; 80 divided by 72=1.11, so the error was 11%
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
Answer:
Answer:the answer is c,no;Robert actually made an error of 10 present since 8/80=10
Step-by-step explanation:
The chart below shows how far an object travels over a certain time.
A 3-column table with 4 rows. Column 1 is labeled Seconds with entries 4, 8, 12, 16. Column 2 is labeled Inches with entries 18, 36, 54, 72. Column 3 is labeled feet with entries 1.5, 3, blank, 6.
After 12 seconds, how far, in feet, will the object travel?
It will travel
feet.
Answer:
I had my child look for the patterns. We found the answer of 4.5. I had her add another 1.5 which gave us the number 6 in the chart to show proof to her.
Answer:
The answer is 4.5
Step-by-step explanation:
Hope this helps you/everyone :)
5 2/5 renamed as an mixed number. This was on my homework and I don't know nothing about renaming fractions.
The \(5\frac{2}{5}\) is equivalent to the improper fraction \(\frac{27}{5}\).And in decimal it can be written as 5.4.
Explain about mixed fraction.A mixed fraction is a combination of a whole number and a proper fraction. It is expressed as a whole number followed by a proper fraction, usually written in the form of "a b/c", where "a" is the whole number, "b" is the numerator of the proper fraction, and "c" is the denominator of the proper fraction.
For example, \(3\frac{1}{4}\) is a mixed fraction, where 3 is the whole number, 1 is the numerator, and 4 is the denominator of the proper fraction.
According to question:As a mixed fraction, 5 2/5 represents the value of 5 whole units and 2/5 of another unit. To convert it to an improper fraction, you can multiply the whole number (5) by the denominator of the fraction (5) and add the numerator (2), then write the result over the denominator. Like this:
5 × 5 + 2 = 27
Divide it by 5
So, \(5\frac{2}{5}\) is equivalent to the improper fraction \(\frac{27}{5}\).And in decimal it can be written as 5.4.
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Complete question:
5 2/5 is an mixed number.How to convert it into simple fraction.
Please help!!!! 2 questions 50 points!!!!
Answer:
See below ~
Step-by-step explanation:
Question 1
The missing angles
Both the unknown angles have the same value as the other two angles in the triangles are the same∠(missing) = 180 - (72 x 2)∠(missing) = 180 - 144∠(missing) = 36°⇒ The sides are equal
⇒ Angles are not 90°
⇒ It is a rhombus
Question 2
The diagonals of the shape bisect other (Statement 1)NY = NW (given)XN = NZ (given)∠XNY = ∠WXZ (vertically opposite angles)ΔXNY ≅ ΔWXZ (SAS)They form two congruent triangles (Statement 2)From these two statements, it is evident the figure is a parallelogramTenPCent Corporation uses the cost formula Y = $5,800 + $0.40X for the maintenance cost, where X is machine-hours. The July budget is based on 9,000 hours of planned machine time. Maintenance cost expected to be incurred during July is:
A. $5,800 B. $4,600 C. $9,400 D. $2,200
The maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.
To determine the maintenance cost expected to be incurred during July, we need to substitute the planned machine time of 9,000 hours into the cost formula Y = $5,800 + $0.40X.
Plugging in X = 9,000 into the formula, we get:
Y = $5,800 + $0.40(9,000)
Y = $5,800 + $3,600
Y = $9,400
Therefore, the maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.
The cost formula Y = $5,800 + $0.40X represents the fixed cost component of $5,800 plus the variable cost component of $0.40 per machine-hour. By multiplying the planned machine time (X) by the variable cost rate, we can determine the additional cost incurred based on the number of machine-hours. Adding the fixed cost component gives us the total maintenance cost expected for a given level of machine-time. In this case, with 9,000 hours of planned machine time, the expected maintenance cost is $9,400.
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The probability density function of the time required to complete an assembly operation is f(x)= 0.1 for 20≤ x ≤ 30 seconds. Determine the proportion of assemblies that requires more than 25 seconds to complete.
The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.
The probability density function to assembly operation is f(x)= 0.1 for 20≤ x ≤ 30 seconds but complete in more than 25 seconds?The proportion of assemblies that require more than 25 seconds to complete given the probability density function f(x) = 0.1 for 20 ≤ x ≤ 30 seconds, follow these steps:
The proportion of assemblies that require more than 25 seconds to complete is 0.5 or 50%.
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Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.
A credit card company takes a random sample of 100 cardholders to see how much they charged on their card last month. The accompanying histogram shows the frequencies in the sample. A computer program found the resulting 95% confidence interval for the mean amount spent in that month is (- $28,366.84,590.691.49). Explain why the analysts didn't find the confidence interval useful, and explain what went wrong. A. The Nearly Normal Condition is not met since the data are extremely right skewed. Because of the one outlier at $3,000,000, the standard B. The software used a Normal model to construct the confidence interval when σ is unknown; Student's t-model should have been used C. The Independence Assumption is not met since the data do not arise from a random sample. The sample of cardholders is not D. The Nearly Normal Condition is not met since the data are extremely right-skewed. Because of the one outlier at S3,000,000, the deviation is very large, which makes the t-interval too wide to be useful. instead. representative of the population. confidence interval does not encompass all of the data values in the sample
The confidence interval useful and what went wrong is: A. The Nearly Normal Condition is not met since the data are extremely right-skewed. Because of the one outlier at $3,000,000, the standard deviation is very large, which makes the confidence interval too wide to be useful. The confidence interval does not encompass all of the data values in the sample.
The reason why the analysts did not find the confidence interval useful is because the Nearly Normal Condition is not met since the data are extremely right-skewed. This is due to the outlier at $3,000,000, which has a significant impact on the data distribution.
Because of this outlier, the deviation is very large, which makes the t-interval too wide to be useful. Additionally, the confidence interval does not encompass all of the data values in the sample, which also decreases its usefulness.
To improve the accuracy of the confidence interval, a different statistical model should have been used, such as the Student's t-model instead of the Normal model, since the standard deviation is unknown.
Finally, the Independence Assumption is not met since the sample of cardholders is not representative of the population, which further decreases the reliability of the results. Therefore, it is important to consider all of these factors when interpreting the results of a statistical analysis.
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find a vector equation for the line of intersection formed by the intersection of the two planes 2x - y + z = 5 and x + y - z = 1
The line of intersection formed by the two planes 2x - y + z = 5 and x + y - z = 1 can be represented by the vector equation r = <x, y, z> = <2, 3, 4> + t<3, 4, 1>, where t is a parameter.
To find the vector equation for the line of intersection, we need to determine the direction vector and a point on the line.
First, we'll find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the first plane is <2, -1, 1>, and the normal vector of the second plane is <1, 1, -1>. Taking the cross product of these two vectors, we get the direction vector <3, 4, 1>.
Next, we'll find a point on the line of intersection by solving the system of equations formed by the two planes. Subtracting the second plane equation from the first, we get 3x - 2y + 2z = 4. Solving this system along with the original plane equation, we find x = 2, y = 3, and z = 4.
Combining the direction vector and the point on the line, we obtain the vector equation r = <x, y, z> = <2, 3, 4> + t<3, 4, 1>, where t is a parameter. This equation represents the line of intersection formed by the two given planes.
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Please find the SURFACE AREA!!!!9 (you don't multiply them all together I already tried that)
Answer:
Down below.
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(4*5+5*7+7*4)
A=2(20+35+28)
A=2(83)
A=166mm^2
HURRY PLEASE I ONLY HAVE A MINUTE LEFT IM BEING TIMED!!!
A restaurant earned a profit of $175,000 in its first year of operation. After taxes were paid, $122,499 was left. How much money did the restaurant pay in taxes?
a.
$297,499
c.
$52,501
b.
$52,511
d.
$122,499
Answer:
$52,501
Step-by-step explanation:
You need to subtract $122,499.
use the unique factorization of integers theorem to prove the following statement. if n is any positive integer that is not a perfect square, then n is irrational. the following is a proposed proof by contradiction of the statement with at least one incorrect step. suppose not. suppose there exists an integer n such that n is not a perfect square and n is rational. by definition of rational number, there exist integers a and b such that n
The mistakes in the proof are assuming the negation of the statement and an unjustified equation.
The mistakes in the proof are as follows:
1. The assumption in Statement 1 should be that "n is a perfect square and n is rational," not the negation of that statement. The proof is trying to prove that the square root of n (denoted as √n) is irrational, so the initial assumption should be that n is a perfect square and rational.
2. The equation in Statement 2, "n = (a/b)^2," is not justified by the definition of a rational number. The definition of a rational number states that it can be expressed as a fraction of two integers, but it does not necessarily mean that the square of a rational number will equal n. This step assumes the conclusion and is not valid.
3. The proof assumes that a and b have no common divisors in Statement 3. However, this assumption is not justified and cannot be made. It should be acknowledged that a and b may have common divisors, and the proof should proceed without assuming their coprimality.
4. Statement 6 does not follow from statements 3, 4, and 5. It states that p is a factor of a, but this is not necessarily true. The fact that nb = a does not imply that a must have the prime factor p. The logic connecting these statements is flawed.
Therefore, the correct answer is:
- Statement 1 assumes the negation of what should be proven.
- Statement 2 is not justified by the definition of a rational number.
- Statement 6 does not follow from statements 3, 4, and 5.
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The complete question is:
Use the unique factorization of integers theorem to prove the following statement. If n is any positive integer that is not a perfect square, then ✓n is irrational. The following is a proposed proof by contradiction of the statement with at least one incorrect step. 1. Suppose not. Suppose there exists an integer n such that n is not a perfect square and n is rational. 2. By definition of rational number, there exist integers a and b such that - and b0. 3. Without loss of generality, we may assume that a and b have no common divisors. Squaring both sides of the equation gives n = 4, and multiplying by b gives nb = a. 4. By the unique factorization of integers theorem, a, b, and n have representations as products of primes that are unique except for the order in which the prime factors are written down. 5. Since n is not a perfect square, there is a prime factor p in n that occurs an odd number of times. 6. Since nb = a, then p is a factor of a. 7. Thus a and b share the common divisor p. 8. This contradicts the fact that a and b are relatively prime. 9. Hence the supposition is false and the given statement is true. Identify the mistake(s) in the proof. (Select all that apply.) U Statement 7 does not follow from statements 3, 4, 5, and 6. M Statement 6 does not follow from statements 3, 4, and 5. The proof assumes a and b have no common factors, but the statement should apply for all integers a and b. The assumption in Statement 1 should be that n is a perfect square and n is rational. The equation in Statement 2 is not justified by the definition of rational number. The proof excludes the case where b = 0, but the statement should apply for every integer b.
Is the value of the expression greater than 1, equal to 1, or less than 1?
(12/64)^0
Answer:
The value of the expression \((12/64)^{0}\) is equal to 1
Step-by-step explanation:
You can get this answer two ways:
1. Simply plug in \((12/64)^{0}\) into your calculator exactly as it appears. You will get one, so therefore, the expression is equal to 1.
2. If you know your exponent rules, you'll know that anything to the power of 0 equals 1, so no matter the value in the parentheses, the answer will be equal to 1.
Hope this helps!
declare two double variables, one named length with a value of 3.5 and the other named width with a value of 1.55.
named width in java with a value of 1.55.
double length = 3.5; double width = 1.55;
Double is a data type in Java that supports storing decimal numbers. It is used to represent values that include a fractional component and is a 64-bit floating-point data type. When exact decimal numbers are required, as in financial or scientific computations, the double data type is frequently utilized. A double's range is roughly ±\(5.0 \times 10^{-324}\) to ±\(1.7 \times 10^{308\) having a 15–17 decimal digit degree of accuracy.
For example:
double myDouble = 3.14; Alternatively, you may define a double variable without first giving it a value and then give it one later on in your code.
3.5 double length, 1.55 double width;
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Emily is buying a new mountain bike on layaway for $324 if she pays $54 each week how many weeks will it take Emily to pay for the mountain bike?
Answer: 6 weeks
Step-by-step explanation: $54 x 6 = $324
What are two additional questions that would be meaningful to drill down into with this same dataset, given what you've seen so far?
The two additional questions that would be meaningful to drill down into with this same dataset is that What type of variation occurs within my variables? and What type of covariation occurs between my variables?.
The term data set is defined as a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.
Here we need to find the two additional questions that would be meaningful to drill down into with this same dataset,
As per the definition we have know that the question that need to be asked over the data set are listed as follows:
They are type of variation occurs within my variables and the type of covariation occurs between my variables.
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My question is in the picture please help. First answer gets brainliest
In a simple linear regression based on 30 observations, it is found that SSE- 2,540 and SST- 13,870 a. Calculate and se (Round your answers to 2 decimal places.) 5 b. Calculate the coefficient of determinationR. (Round your answer to 4 decimal places.) Coefficient of Determination
To calculate the standard error of estimate (SE), we can use the following formula:
SE = sqrt(SSE / (n-2))
where SSE is the sum of squared errors, and n is the number of observations.
Substituting the given values, we get:
SE = sqrt(2,540 / (30-2)) = 5.49
Therefore, the standard error of estimate is 5.49 (rounded to 2 decimal places).
b. The coefficient of determination (R-squared) is given by the ratio of the explained variation (SSR) to the total variation (SST):
R² = SSR / SST
where SSR is the sum of squared regression, and SST is the total sum of squares.
Since this is a simple linear regression, we have:
SST = SSR + SSE
where SSE is the sum of squared errors.
Substituting the given values, we get:
SST = 13,870
SSE = 2,540
Therefore, we can calculate SSR as:
SSR = SST - SSE = 13,870 - 2,540 = 11,330
Substituting these values into the formula for R-squared, we get:
R²= SSR / SST = 11,330 / 13,870 = 0.8188
Therefore, the coefficient of determination (R-squared) is 0.8188 (rounded to 4 decimal places). This means that 81.88% of the variation in the dependent variable (y) can be explained by the linear regression model with the independent variable (x).
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a group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
So, 3 people can go to the amusement park with $69.75 for parking and admission.
Let pp be the number of people who can go to the amusement park.
An equation is a mathematical statement that asserts the equality of two expressions. The expressions are separated by an equal sign (=), and they can include numbers, variables, and mathematical operations.
The equation to determine the number of people is:
pp * 17.50 + 17.25 = 69.75
To solve for pp, we can subtract 17.25 from both sides of the equation:
pp * 17.50 = 52.50
And finally, we divide both sides by 17.50:
pp = 3
Therefore, 3 people can go to the amusement park with $69.75 for parking and admission.
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Help with these 10th grade geometry angle problems? I'm desperate and my teacher won't help me. Please also explain how you got your answer. Thank you.
Answer: 60
Step-by-step explanation:
See
m<COB and m<EOD are opposite anglesHence they are equal in measure.Hence
m<COB=60°
if the odds are 8 to 1 against a team winning (they lose more than they win), what is the probability the team wins?
The probability that the team wins the match is 1/9.
Here the odds against winning are given to be 8 to 1. It is also said that they lose more than they win.
The above statement indicates that out of every 8 + 1
= 9 matches, the team has a probability of losing 8 matches and winning one match
Probability
= no. of observations for the favorable event / Total number of observations
Here we need to find the probability of winning.
Let A be the event that the team wins the match.
As we can see the total number of observations is 9 matches.
Therefore, n = 9
n(A) = 1
Hence, P(A)
= n(A)/n
= 1/9
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