Answer:
10 tickets = 30$
20 = 60$
30 = 90$
40 = 120$
50 = 150$
To divide 572 4, Stanley estimated to
place the first digit of the quotient. In which
place is the first digit of the quotient?
Answer:
The hundreds place
Step-by-step explanation:
143, first digit is , 1 is in the hundreds place
determine if the following lengths make a triangle 6,3,7
Answer:
Yes
Step-by-step explanation:
The rule is that if a+b>c, then it's a triangle. In this case, 6+3>7, so it's a triangle. The hypotenuse (7) should always be the largest of the sum of the two side lengths.
Answer:
Yes, the lengths will create a triangle.
Step-by-step explanation:
6 + 3 = 9 > 7
3 + 7 = 10 > 6
6 + 7 = 13 > 3
If the combination of any lengths is greater than the remaining length, then the lenghts will create a triangle.
find a power series representation for the function and determine the interval of convergence. (give your power series representation centered at x = 0.)
f(x) = 1/6+x
Note that in this case,where the radius of convergence is 6, the interval of convergence is (-6, 6).
How is this so ?
To find the power series representation, we can use the following steps
Let f(x) = 1 /6+ x.
Let g(x) = f( x )- f(0).
Expand g(x) in a Taylor series centered at x = 0.
Add f(0) to the Taylor series for g(x).
The interval of convergence can be found using the ratio test. The ratio test says that the series converges if the limit of the absolute value of the ratio of successive terms is less than 1.
In this case, the limit of the absolute value of the ratio of successive terms is
lim_{n → ∞} |(x+6)/(n + 1)| = 1
Therefore, the interval of convergence is (-6, 6).
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need help quick please thanks
Start by FOILing: First, Outer, Inner, Last.
3x•x= 3x^2; 3x•2= 6x; 2•x= 2x; 2•2= 4
Put it all together
3x^2 + 6x + 2x + 4
Combine like terms to get your answer
3x^2 + 8x + 4
The middle school band is going to take a field trip either to a water park or to an amusement park. The band director surveyed all of the middle school band members to determine the preferred field trip. The results are displayed in the table below.
Field Trip Survey
Students Amusement Park Water Park Total
Seventh-Grade 14 26 40
Eighth-Grade 16 64 80
Total 30 90 120
Which statement is true about the results of the survey?
Responses
A 33% of the students prefer the amusement park.33% of the students prefer the amusement park.
B 25% of the eighth-grade students prefer the amusement park.25% of the eighth-grade students prefer the amusement park.
C 67% of the students prefer the water park.67% of the students prefer the water park.
D 65% of the seventh-grade students prefer the water park.
The statement which is true is D. 65% of the seventh-grade students prefer the water park.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
A : Total number of students = 120
Number of students who prefer amusement park = 14 + 16 = 30
Percentage of students who prefer amusement park = 30 / 120 = 0.25 = 25%
B : Total number of eighth grade students = 80
Number of eighth grade students who prefer amusement park = 16
Percentage = 16 / 80 = 0.2 = 20%
C : Total number of students = 120
Number of students who prefer water park = 26 + 64 = 90
Percentage = 90 / 120 = 0.75 = 75%
D : Total number of seventh grade students = 40
Number of seventh grade students who prefer water park = 26
Percentage = 26 / 40 = 0.65 = 65%
Hence the option D is the correct percentage.
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How many arrangements of letters in REPETITION are there with the first E occurring before the first T?
The number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560
To find the number of arrangements of letters in the word REPETITION where the first E occurs before the first T, we can approach the problem by breaking it down into simpler steps.
Step 1: We need to determine the total number of arrangements of the letters in REPETITION. Since there are 9 letters in the word, the total number of arrangements can be calculated using the formula for permutations of n objects taken r at a time, which is n!/(n-r)!. In this case, we have n=9 and r=9, so the total number of arrangements is 9! = 362,880.
Step 2: We need to count the number of arrangements where the first E occurs before the first T. To do this, we can first fix the positions of the first E and T in the word. There are 9 possible positions for the first letter, 8 remaining positions for the second letter, and so on, down to 1 possible position for the ninth letter. This gives us a total of 9x8x7x6x5x4x3x2x1 = 362,880 possible arrangements of the letters in REPETITION.
However, we want to exclude the arrangements where the first T appears before the first E. To do this, we can fix the position of the first T and count the number of arrangements of the remaining letters. There are 8 possible positions for the first T, and then 7 remaining positions for the second letter, and so on, down to 1 possible position for the eighth letter. This gives us a total of 8x7x6x5x4x3x2x1 = 40,320 arrangements where the first T appears before the first E.
Therefore, the number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560.
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Solve the systems of equations by substituting
4) y=6x-11
-2x-3y=-7
The value of the variables are y = 2 and x = 1
How to determine the valueFrom the information given, we have that;
y= 6x-11
-2x-3y =-7
Using the substitution method, we have;
Substitute the value of y in equation (2)
-2x - 3(6x - 11) = -7
expand the bracket
-2x - 18x + 33 = -7
collect the like terms
-20x = -7 - 33
subtract the values
-20x = -40
Make 'x' the subject
x = 2
Substitute the values of x in equation 1
y = 6(2) - 11
expand the bracket
y = 12 - 11
y = 1
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5/8(16d+24)=6(d-1)+1
To solve this equation, we need to distribute the 5/8 to the terms inside the parentheses. The solution to the equation is d = -5.
5/8(16d+24) = (5/8)(16d) + (5/8)(24)
Simplifying this expression, we get:
10d + 15 = 6d - 5
Now we can solve for d by isolating the variable on one side of the equation. First, we'll subtract 6d from both sides:
4d + 15 = -5
Next, we'll subtract 15 from both sides:
4d = -20
Finally, we'll divide both sides by 4:
d = -5
Therefore, the solution to the equation 5/8(16d+24)=6(d-1)+1 is d = -5.
5/8(16d+24)=6(d-1)+1. Here's a step-by-step explanation:
1. First, distribute 5/8 to both terms inside the parentheses on the left side:
(5/8 * 16d) + (5/8 * 24) = 6(d - 1) + 1
2. Simplify the terms on the left side:
(10d) + (15) = 6(d - 1) + 1
3. Next, distribute 6 to both terms inside the parentheses on the right side:
10d + 15 = 6d - 6 + 1
4. Simplify the terms on the right side:
10d + 15 = 6d - 5
5. Now, move all terms with 'd' to the left side and constants to the right side by subtracting 6d from both sides and subtracting 15 from both sides:
10d - 6d = -5 - 15
6. Simplify both sides of the equation:
4d = -20
7. Finally, solve for 'd' by dividing both sides by 4:
d = -5
So, the solution to the equation is d = -5.
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If the terminal side of angle θ is in the first quadrant and cos(θ)=3√2, what is the exact measure of θ?
There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.
Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.
Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.
Let's calculate the length of the opposite side:
opposite^2 + adjacent^2 = hypotenuse^2
opposite^2 + (3√2)^2 = 1^2
opposite^2 + 18 = 1
opposite^2 = 1 - 18
opposite^2 = -17
Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.
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What will be the amount of the sum Rs 1200 for one and
half year at 40 percent of interest compounded
quarterly?
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:
Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly
Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$
Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter
Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}
Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09
Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
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Triangle XYZ is similar to triangle JKL. Triangle XYZ with side XY labeled 8.7, side YZ labeled 7.8, and side ZX labeled 8.2 and triangle JKL with side JK labeled 13.05. Determine the length of side LJ. 6.83 11.70 12.30 12.41
The length of side LJ is 12.41.
Since triangle XYZ is similar to triangle JKL, we know that the corresponding sides are proportional. This means that the ratio of the lengths of the sides in triangle XYZ to the corresponding sides in triangle JKL is constant. We can use this fact to solve for the length of side LJ.
Let k be the constant of proportionality. Then we have:
XY / JK = YZ / KL = ZX / LJ = k
Substituting the given values, we have:
8.7 / 13.05 = 7.8 / KL = 8.2 / LJ
Solving for KL and LJ, we get:
KL = (7.8 x 13.05) / 8.7 = 11.70
LJ = (8.2 x 13.05) / 7.8 = 12.41
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there u go !!!!!!!!!!!!!!!
Answer:
I think you've been wrong, you're ask, not answering
Suppose that we don't have a formula for g(x) but we know that g(2) = -5 and g'(x) = √x²+5 for all x. Use a linear approximation to estimate g(1.95) and g(2.05). (Round your answers to two decimal places)
The final answers are in decimal form (rounded to two decimal places).
Why are the decimal form rounded to two decimal places?
The linear approximation, we first need to find the equation of the tangent line to the graph of g(x) at x = 2. We know that g(2) = -5, and g'(x) = √x²+5, so g'(2) = √9 = 3.
The equation of the tangent line at x = 2 is given by:
y - (-5) = 3(x - 2)
Simplifying this equation, we get:
y = 3x - 11
To estimate g(1.95), we plug in x = 1.95 into the equation of the tangent line:
g(1.95) ≈ 3(1.95) - 11 = -5.15
To estimate g(2.05), we plug in x = 2.05 into the equation of the tangent line:
g(2.05) ≈ 3(2.05) - 11 = -4.95
Therefore, using linear approximation, we estimate that g(1.95) ≈ -5.15 and g(2.05) ≈ -4.95. Note that these are approximate values, and the actual values may differ slightly. Also, we didn't use the term "decimal" explicitly, but the final answers are in decimal form (rounded to two decimal places).
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Okay, I have been waiting a weekend for this question to be answered, and now its due in 2 hours. So you are my last resort! Please help me! I actually need an answer, I tried a formula and something didn't go right.
What is X? :( I
I WILL GIVE YOU BRAINLIEST
x^2 = -8x - 7 Rewrite the equation by completing the square. What are the solutions?
1) rewrite the equation by completing the square
(X+4)^2=9
2) what are the solution to the equation
Answer A= X=-4 plus and minus 3
H E L P P L S S S S S S S ! ! !
Answer:
i would be a reflection so the 2nd option
Answer:
That is a reflection
Step-by-step explanation:
That is an example of a reflection because the image is reflected over the line :)
What is the coefficient in the following expression?
PLEASE HELP ASAP ILL EVEN GIVE YOU BRAINLYEST
Answer:
The coefficient is 5.
Step-by-step explanation:
Consider AABC with the following measures:a = 5b = 12C = 90°Find c using Law of Cosines.(Here A is the angle opposite side a, B is the angle opposite side b, etc.)
Given: a=5
b=12
angle C =90 degrees
We have to find c using law of cosines.
The law of cosines is given by:
\(c^2=a^2+b^2-2ab\cos (C)\)Putting the values,we have:
\(\begin{gathered} c^2=5^2+12^2-2\times5\times12\times\cos (90^{\circ}) \\ =25+144-0 \end{gathered}\)\(c^2=169\)Taking squareroot we get :c=13 0r c=-13
But the side length can be a positive number so c=13.
The answer is c=13.
What is the 99% confidence interval for the amount of aspirin in a single analgesic tablet drawn from a population for which μ (mean) is 230mg and σ ^2 is 23mg ^2 ?
To calculate the 99% confidence interval for the amount of aspirin in a single analgesic tablet, we can use the following formula:
Confidence Interval = Sample Mean ± (Z * (Standard Deviation / √Sample Size))
Given the information:
Population mean (μ) = 230mg
Population variance (σ^2) = 23mg^2
To obtain the standard deviation, we take the square root of the variance:
Population standard deviation (σ) = √(23mg^2) ≈ 4.796mg
The confidence level is 99%, which means the significance level (α) is 1 - (confidence level) = 1 - 0.99 = 0.01. This is a two-tailed test, so we need to find the critical value for α/2 = 0.01/2 = 0.005.
Using a standard normal distribution table or a calculator, the critical value corresponding to a significance level of 0.005 is approximately 2.576.
Assuming we have a sample size large enough for the Central Limit Theorem to hold, the sample mean will be an unbiased estimator of the population mean.
Therefore, the 99% confidence interval for the amount of aspirin in a single analgesic tablet is:
Confidence Interval = Sample Mean ± (2.576 * (4.796mg / √Sample Size))
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The 99% confidence interval for the amount of aspirin in a single analgesic tablet, drawn from a population with a mean μ of 230mg and a variance σ^2 of 23mg^2, can be calculated as (225.369mg, 234.631mg).
To calculate the confidence interval, we use the formula:
CI = (X- z ( σ/√n), X+ z ( σ/√n))
Here, X represents the sample mean, z is the z-score corresponding to the desired confidence level (99% confidence corresponds to a z-score of 2.576), σ represents the population standard deviation, and n represents the sample size.
Since we are given the population variance (σ^2), we can take the square root to obtain the standard deviation σ. We also assume that the sample size is large enough for the Central Limit Theorem to hold.
Substituting the given values into the formula, we have:
CI = (230 - 2.576 (√ (23)/√n), 230 + 2.576 (√(23)/√n))
Since the sample size is not provided, the confidence interval cannot be calculated precisely. However, using the given information, we can determine that the confidence interval will be of the form (230 - k, 230 + k), where k depends on the sample size.
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Which statement is true about the graphs shown? Responses A Only graph B represents a proportional relationship.Only graph B represents a proportional relationship. B Graph A and graph B both represent a proportional relationship.Graph A and graph B both represent a proportional relationship. C Graph A and graph B both represent a non-proportional relationship.Graph A and graph B both represent a non-proportional relationship. D Only graph A represents a proportional relationship
Only graph B represents a proportional relationship.
What is a graph ?
A graph is a visual representation of data that shows the relationship between two or more variables. It is a way of presenting information in a clear and concise manner that makes it easy to interpret and understand.
Graphs can be used to show trends over time, compare different groups or categories, or illustrate the relationship between two or more variables.
Graph A shows a non-proportional relationship because as x increases, the corresponding y values do not increase or decrease at a constant rate.
Graph B shows a proportional relationship because as x increases, the corresponding y values increase at a constant rate.
Therefore, The slope of graph B is constant and represents the constant of proportionality between x and y.
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Given the equation y The period is: The horizontal shift is: = 7 tan(2x - 16) units to the Select an answer ✓
The period of the function y = 7 tan(2x - 16) is 16/2 = 8 units. The horizontal shift is 16 units to the left.
The period of a tangent function is given by pi / |a|, where a is the coefficient of x in the argument of the tangent function. In this case, a = 2, so the period is pi / |2| = pi / 2.
The horizontal shift of a tangent function is given by b / |a|, where b is the constant term in the argument of the tangent function. In this case, b = 16, so the horizontal shift is 16 / |2| = 16.
Therefore, the period of the function y = 7 tan(2x - 16) is 8 units and the horizontal shift is 16 units to the left.
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to rationalize the denominator, multiply the numerator and denominator of each of the components by 67.72 . u
The rationalized form of the given fraction 2 / (√8 - √7) is 2 * (√8 + √7).
Let's proceed step by step:
Step 1: Begin by multiplying the numerator and denominator by the conjugate of the denominator. The conjugate of a binomial expression is obtained by changing the sign between its terms. In this case, the conjugate of (√8 - √7) is (√8 + √7).
Step 2: Multiply the numerator and denominator by the conjugate:
2 / (√8 - √7) * (√8 + √7) / (√8 + √7)
Step 3: Simplify the denominator using the distributive property:
2 * (√8 + √7) / ((√8 - √7) * (√8 + √7))
Step 4: Apply the difference of squares formula to simplify the denominator further:
2 * (√8 + √7) / (8 - 7)
Step 5: Simplify the denominator:
2 * (√8 + √7) / 1
Step 6: Multiply the numerator and denominator to obtain the final result:
2 * (√8 + √7)
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Complete Question:
Rationalize the denominator of the expression 2 / (√8 - √7)
Each table represents a proportional relationship. For each, find the constant of proportionality, and complete the equation that represents the relationship. Use decimal notation if necessary.
Answer:
21 divded by 28= decimal form
Step-by-step explanation:
Your welcome :)
A group of volunteers for a clinical trial consists of 123 women and 178 men. 54 of the women and 46 of the men have high blood pressure. If one of the volunteers is selected at random find the probability that the person is a man given that they have high blood pressure.
The probability that a person is a man given that they have high blood pressure is 0.46 or 46%.
We are given that there are 123 ladies and 178 men within the bunch of volunteers for a clinical trial, and 54 of the ladies and 46 of the men have tall blood weights.
We are inquired to discover the likelihood that an arbitrarily selected volunteer who has a tall blood weight may be a man.
Let M be the occasion that a volunteer could be a man,
and H be the occasion that a volunteer has a tall blood weight.
We need to discover P(M|H), the likelihood that a volunteer could be a man given that they have tall blood weight.
By Bayes' hypothesis, we have:
P(M|H) = P(H|M) * P(M) / P(H)
Ready to find the probabilities on the right-hand side of this condition as taken after
P(H|M) = 46/178, the likelihood that a man has a tall blood weight
P(M) = 178/(123+178), the likelihood that a volunteer may be a man
P(H) = (54+46)/(123+178), the likelihood that a volunteer has tall blood weight
Substituting these values into the condition, we get:
P(M|H) = (46/178) * (178/(123+178)) / ((54+46)/(123+178))
P(M|H) = 46/100
P(M|H) = 0.46
Therefore, the likelihood that a haphazardly(randomly) chosen volunteer who has high blood weight could be a man is 0.46 or 46%.
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If the 13th unit processed requires 87.00 minutes and the 26th unit requires 64.00 minutes, how much time would you estimate the 50th unit requires? (round to nearest whole number)
a. 35 minutes
b. 48 minutes
c. 18 minutes
d. 55 minutes
e. 40 minutes
The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.
Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`
Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.
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Evaluate the expression a=3, b=2, and c=12
Answer:
jejejwjjwjejeejekeekekeknenenenne
Answer:
Step-by-step explanation:
Sorry but please give detailed question
A student tosses a six-sided die, with each side numbered 1 though 6, and flips a coin. What is the probability that the die will land on the face numbered 1 and the coin will land showing tails? A. 1/3 B. 1/12 C. 1/6 D. 1/4
The probability that the die will land on the face numbered 1 and the coin will land showing tails is 1/12.In the offered options, this corresponds to option B.
There are two events happening here: the die being rolled and the coin being flipped. Since these events are independent, we can find the probability of both events occurring by multiplying the probabilities of each individual event.
The probability of rolling a 1 on a six-sided die is 1/6, and the probability of flipping tails on a coin is 1/2. We multiply these probabilities to obtain the likelihood of both occurrences occurring.:
1/6 x 1/2 = 1/12
Therefore, the probability that the die will land on the face numbered 1 and the coin will land showing tails is 1/12. In the offered options, this corresponds to option B.
It is important to note that the probabilities of the two events are independent, meaning that the outcome of one event does not affect the outcome of the other event
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in a monetary-unit sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audit amount of $2,000. the projected misstatement of this sample was:
The correct answer is 'the projected misstatement of this sample was $6,000.'
An auditor cannot obtain absolute assurance that material misstatements in the financial statements will be find out.
The purpose of intentional misstatements or omissions of amounts or disclosures in financial statements is to deceive the users of financial statements. These misstatements result from fraudulent financial reporting.
Misstatements arising from the misappropriation of assets (sometimes referred to as defalcation) involve the theft of an entity's assets where the effect of the theft causes the financial statements not to be represented in conformity with generally accepted accounting principles.
The risk of a material misstatement of the financial statements as a result of fraud should be expressly assessed by the auditor, and the audit processes should be designed with that judgement in mind.
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You put $500 in your bank account.
With an interest rate of 5%, how long will it take the account to reach $600?
Use the formula I=prt.
when the account reaches 600, well, it had a Principal of $500, so to get there it'd need $100 more, so by the time the earned interest is 100, when is it?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 100\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years \end{cases} \\\\\\ 100 = (500)(0.05)(t) \implies \cfrac{100}{(500)(0.05)}=t\implies 4=t\)
the city council has 6 men and 3 women. if we randomly choose two of them to co-chair a committee, what is the probability these chairpersons are the same gender? select the correct fractional response. hint: consider there is no replacement of an individual who is already selected.
The probability that the two chairpersons chosen are of the same gender is 9/36.
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It involves quantifying the likelihood of an event or outcome by assigning a numerical value between 0 and 1.
A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain.
Probabilities between 0 and 1 indicate the likelihood of the event occurring, with higher probabilities indicating a greater likelihood.
This can be calculated by looking at the number of possibilities when selecting two members from a group of nine (6 men, 3 women):
Total possibilities = 9C2 = 9!/(2!*7!) = 9*8/2 = 36
Ways of selecting two of the same gender = 6C2 + 3C2 = 6*5/2 + 3*2/2 = 15
Therefore, the probability of selecting two of the same gender is 15/36, which reduces to 9/36.
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