The correct answer option from the given choices (A. 113,050, B. 700, C. 452,200, D. 268,606,800). The exact number of golfers participating in the tournament, we cannot calculate the exact number of ways they can place.
To determine the number of ways the golfers can place in the next tournament, where only first and second prizes are awarded, we need to calculate the number of possible combinations for these two positions.
The number of ways to arrange n objects taken r at a time is given by the formula:
nCr = n! / (r!(n-r)!)
In this scenario, we have n = number of golfers and r = number of positions to be awarded (2 in this case).
Let's assume there are "m" golfers participating in the tournament.
To calculate the number of ways the golfers can place, we need to calculate the number of combinations for selecting 2 golfers from "m" golfers:
mC2 = m! / (2!(m-2)!)
Simplifying further:
mC2 = m! / (2! * (m-2)!)
= m! / (2 * 1 * (m-2)!)
Since we are not given the exact number of golfers participating in the tournament, we cannot calculate the exact number of ways they can place. Therefore, we cannot determine the correct answer option from the given choices (A. 113,050, B. 700, C. 452,200, D. 268,606,800).
However, if we were provided with the specific number of golfers, we could use the formula to calculate the number of ways they can place.
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Logarithm question (picture included)
Base 3 logarithm of 81 equals 4 .The logarithmic form, written as log of "b" to base "a" is equal to "n," .
what is logarithm ?How many times must one "base" number be multiplied by itself in order to get another specific number is the subject of the mathematical expression known as a logarithm (or log). Mathematics includes both logarithms and logs. They share a connection with exponential functions. Logarithms are the opposite of exponentiation because they reveal the exponent (or power) required to create a given number. They were helpful in the past for splitting or multiplying huge numbers.
given
Base 3 logarithm of 81 equals 4 .
Therefore, the logarithmic form, written as log of "b" to base "a" is equal to "n," may be expressed in exponential form as a = b.
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Due tonight.. *no links*
help me pls! giving out brainliest
Answer:
1) 3/2
2) 13/10
3) 1/3
4) 9/7
5) 13/20
Step-by-step explanation:
Define the sequence {an} as follows:
• a1= 6
• a2 = 2 * an−1 + 2n for n ≥ 2.
Use mathematical induction to prove that for any positive integer n ≥ 1, an = −2n − 4 + 6 * 2n
By mathematical induction, we have proven that for any positive integer n, an = −2n − 4 + 6 * 2n.
Base case:
For n=1, we have a1 = 6, which satisfies the formula for a1: a1 = −2(1) − 4 + 6*2(1) = 6.
Inductive hypothesis:
Assume that the formula holds for some arbitrary positive integer k, i.e. ak = −2k − 4 + 6 * 2k.
Inductive step:
We need to show that the formula also holds for k+1, i.e. a(k+1) = −2(k+1) − 4 + 6 * 2(k+1).
Using the formula for ak in the definition of the sequence, we have:
a(k+1) = 2ak + 2(k+1)
= 2(-2k - 4 + 6 * 2k) + 2(k+1)
= -4k - 8 + 12*2k + 2k + 2
= -2k - 6 + 6 * 2(k+1)
Simplifying, we get:
a(k+1) = −2(k+1) − 4 + 6 * 2(k+1)
This is exactly the formula we wanted to prove for a(k+1).
Therefore, by mathematical induction, we have proven that for any positive integer n, an = −2n − 4 + 6 * 2n.
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2. John has $160 to spend on video
games. He spent $30 on a controller
and the rest on video games. If each
game costs $13, how many games did
he buy? (Write an equation using "g"
to represent the number of games.
Solve for g.)
He buy 10 games that costs $13.
What is equation?Equation, also known as a statement of equivalence between two expressions with variable- and/or number-based components. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
Given Data
John has $160 to spend on video games.
He spent $30 on a controller the rest on video games.
If each game costs $13
Equation
30 + 13g = 160
13g = 130
g = 10
He buy 10 games that costs $13.
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write equation out and identify
PLEASE HELP!!!!!
Step-by-step explanation:
compare it with the equation of the circle
Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
Help please! sssssssssssssss
Answer:
UT=17 because both UT and RU are the same length, same with QU and US
Step-by-step explanation:
In the parallelogram below, find the length of the segment GM.
at 1:00 pm, the temperature was 18 degrees. It rose 7 degrees during the afternoon and then dropped 30 degrees by midnight. What was the temperature at midnight
Answer:
-5
Step-by-step explanation:
(18+7)-30
25-30=
-5
Do u know this? Answer if u do
Answer:
Hi
Step-by-step explanation:
The expression was reduced to it's lowest expression or term or we say we found the common factor amongst them
Complete the function table. Function: p = 1⁄2w + 5
can someon help me asap
We can classify the expressions from the least to the greatest as follows:
1. 5/-1.6
2. - 3 1/10 - (-7/20)
3. 5 6/15 + (- 2 4/5)
4. - 4.5 * - 2.3
How to classify the numbersWe can classify the numbers by beginning from the smallest to the highest. If we were to go by this, then the first expression would be the smallest. This is because 5/-1.6 translates to -3.125.
Next,
- 3 1/10 - (-7/20) = -2.95
The third expression which is
5 6/15 + (- 2 4/5) equals 2.6 and
- 4.5 * - 2.3 equals 10.35
This is the highest in value. So, the expressions can be classified in the above way.
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Suppose a 95% confidence interval for the average amount of weight loss on a diet program for males is between 13. 4 and 18. 3 pounds. These results were based on a sample of 42 male participants who were deemed to be overweight at the start of the 4-month study. What is the standard error of the sample mean?.
The standard error of the sample mean is 1.21.
Given;
Suppose a diet regimen for men results in an average weight loss of between 13. 4 and 18. 3 pounds, according to a 95% confidence interval. These findings were based on a group of 42 men who were classified as overweight at the beginning of the four-month trial.
A 95% confidence interval for a population mean is (13.4, 18.3)
Upper limit = 18.3
Lower limit = 13.4
Since population SD is unknown, this interval is constructed using the t distribution.
n = 42
c = 0.95
∴ α = 1 - c = 1 - 0.95 = 0.05
α/2 = 0.025
Also, d.f = n - 1 = 42 - 1 = 41
∴ ta/2.d.f = ta/2.n-1 = t0.025,41 = 2.02 . . . . use t table
Now,
The margin of error = (Upper limit - Lower limit)/2
= (18.3 - 13.4)/2
= 2.45
But,
Margin of error = ta/2.d.f- * (s / \sqrt{} n)
Margin of error = ta/2.d.f- * Standard error
2.45 = 2.02 * Standard error
Standard error = 1.2129
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marking brainliest
Mr. Miller's farm and Mr. Newton's farm together cover 525 acres. Mr. Miller's
farm is 65 acres larger than Mr. Newton's. Find the size of each farm.
Answer:
Mr. Miller's farm is 295 acres, and Mr. Newton's farm is 230 acres.
Step-by-step explanation:
From the problem we can make the following equations.....
Let "N" be the area of Mr. Newton's farm and let "M" be the area of Miller's farm. Then.....
N + M = 525
N + 65 = M
Now substitute and get....
N + M = 525
N + N + 65 = 525
2N = 460
N = 230⇒
⇒N + 65 = M
230 + 65 = 295
what is the slope of the line that passes through the points (1,-1) and (-8,-7)?
\(m = \frac{y - y1}{x2 - x1} \\ m = \frac{ - 7 - ( - 1)}{ - 8 - 1} \\ m = \frac{ - 7 + 1}{ - 9} \\ m = \frac{ - 6}{ - 9} \\ m = \frac{2}{3} \)
I ALSO PROVIDED THE FORMULA TO USE.
HOPE THIS HELPS
If a fair coin is tossed 5 times, what is the probability, to the nearest thousandth, of getting exactly 2 heads?
When a fair coin is tossed five times, there is a 5/16 chance of getting two exact heads.
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Here,
Total outcomes,
= 2*2*2*2*2
=32
Possibility of getting exactly 2 heads,
=5C2
=5!/3!2!
=5*4/2
=10
Probability of getting exactly 2 heads,
=10/32
=5/16
The probability of getting 2 heads exactly will be 5/16 when a fair coin is tossed 5 times.
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What would be the fourth and fifth figures? How many dots will be in the 100th figure?
Answer:
4th=8 dots
5th=10 dots
100th=200 dots
Step-by-step explanation:
Since you’re adding two dots each time, it will always bed double the figure number.
4th=8 dots
5th=10 dots
100th=200 dots
Answer:
The fourth figure is 8 Dots
The fifth figure is 10 Dots
The hundredth figure will be 200 Dots
Step-by-step explanation:
The figure dots increase by two so we multiply the dot number by the amount of increase
which means
The Fourth figure have 4 dots so 4 × 2=8
The Fifth figure have 5 dots so 5 × 2 =10
The hundredth figure have 100 dots so 100 × 2 =200
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comment me for any question
Help PLEASE!!!!!!!!!
Omar i going to an amuement park. The price of admiion into the park i $25, and once he i inide the park, he will have to pay $5 for every ride he ride on. How much money would Omar have to pay in total if he goe on 8 ride? How much would he have to pay if he goe on r ride?
How do you find f (- 1 on a graph?
To find f(-1) on a graph, you need to locate the point (-1, y) and then read off the value of y.
Begin by locating the point (-1, 0) on the graph. This point is located at the far left side of the x-axis. Then, draw a line from this point to the line representing the function. This line will intersect the line of the function at a point which is the coordinates (-1, y).
Now, read off the value of y at this point. This is the value of f(-1). To double-check your answer, make sure that the coordinates of the point you have located are (-1, y). If they are, then the value of y is the value of f(-1).
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Sandy jogs 19.7 miles in 4.5 hours. How many miles does she jog per hour
Answer:
4.378 MPH
Step-by-step explanation:
Distance in Miles
MPH= -------------------------
Time in Hours
19.7/4.5 = 4.378 MPH
What is the volume of a
cube that has one side of ||
cm?
Answer:
5
Step-by-step explanation:
633 yess sjs this is rhe im doing this for points
Answer: V=a3
Step-by-step explanation:
Puzzle Blue
What is the missing letter in the sequence ?
C E
A
G
M
I
0
?
Q
The next letter in the sequence is W.
The given sequence is B, C, E, G, K, M, Q, S, _____________.
Here, B, C, E, G, K, M, Q, S
2 3 5 7 9 11 13 17
So the next prime number is 23 and the 23rd number in the alphabetic order is W.
Then, the sequence is B, C, E, G, K, M, Q, S, W
Therefore, the next letter in the sequence is W.
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"Your question is incomplete, probably the complete question/missing part is:"
B, C, E, G, K, M, Q, S, _____________.
What is the next alphabet in this sequence?
Carly took a $7,000, 5-year loan with an APR of 1.35%. What is her the monthly payment?
Answer:
234.833333.
Step-by-step explanation:
To get this answer, you need to add 7000, which is the amount of the loan, by 1.35%. Which is the interest. You get 7095.4. Then divided that by 30, you get 234.833333.
describe la vida en el barrio que se desarrolla en la pelicula los olvidados de Luis Buñuel teniendo en cuenta sus condiciones economicas y sociales atravez de las distintas actividades desarrolladas por los vecindarios
Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.
How do the economic and social conditions shape life in the neighborhood?The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.
The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.
Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.
Full question:
Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.
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HELPPPPPP PLZZ!!!!!!!
Answer:
B and E i think
Step-by-step explanation:
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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If the sum of two num bers is 1 and their product is 1, then what is the sum of their cubes?
The sum of the cubes of the two numbers is -1.
Let's consider two numbers, denoted as x and y. If their sum is 1, we can express it as the equation x + y = 1. Similarly, if their product is 1, it can be represented as xy = 1.
To find the sum of their cubes, x³ + y³, we can use the identity (a³ + b³ = (a + b)(a² - ab + b²)). Applying this identity, we have:
x³ + y³ = (x + y)(x² - xy + y²)
Now, let's substitute the known values from the given equations:
x³ + y³ = (x + y)(x² - xy + y²)
= (1)(x² - (1)(y) + y²)
= x² - y + y²
Next, we express x² and y² in terms of x and y:
x² = (x + y)² - 2xy
y² = (x + y)² - 2xy
Substituting these expressions into x³ + y³ = x² - y + y², we get:
x³ + y³ = (x + y)² - 2xy - y + (x + y)² - 2xy
Considering the known values x + y = 1 and xy = 1:
x³ + y³ = (1)² - 2(1) - 1 + (1)² - 2(1)
= 1 - 2 - 1 + 1 - 2
= -1
Therefore, the sum of the cubes of the two numbers is -1.
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FREE RESPONSE!!! A survey of a random sample of 1280 student loan borrowers found that 218 had loans totaling more than $40,000 for their undergraduate education. Construct and interpret a 95% confidence interval to estimate the population proportion of student loan borrowers who have loans totaling more than $40,000.
Confidence Interval = 0.1703 ± 0.0222 Confidence Interval ≈ (0.1481, 0.1925) We are 95% confident that the true proportion of student loan borrowers with loans totaling more than $40,000 for their undergraduate education falls between approximately 0.1481 and 0.1925.
To construct a confidence interval to estimate the population proportion, we can use the following formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, let's calculate the sample proportion:
Sample Proportion = Number of borrowers with loans > $40,000 / Total number of borrowers
Sample Proportion = 218 / 1280 ≈ 0.1703
Next, we need to determine the margin of error. For a 95% confidence level, we can use the formula:
Margin of Error = Z * sqrt((Sample Proportion * (1 - Sample Proportion)) / n)
Where Z is the z-value corresponding to the desired confidence level (in this case, 95%), and n is the sample size.
For a 95% confidence level, the critical z-value is approximately 1.96.
Margin of Error = 1.96 * sqrt((0.1703 * (1 - 0.1703)) / 1280)
Margin of Error ≈ 0.0222
Now, we can construct the confidence interval:
Confidence Interval = 0.1703 ± 0.0222
Confidence Interval ≈ (0.1481, 0.1925)
We are 95% confident that the true proportion of student loan borrowers with loans totaling more than $40,000 for their undergraduate education falls between approximately 0.1481 and 0.1925.
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