Stacy and clinton are setting up the community center for a freshman orientation. they set up 8 rectangular tables with 6 chairs each and 5 round tables with 4 chairs each. the chairs are randomly numbered starting with 1 and the freshman will be randomly assigned a seat number.
what is the probability that the first freshman to arrive will be seated at a round table?
a 1/20
b 12/17
c 5/17
d 5/13
Answers
"The probability that the first freshman to arrive will be seated at a round table is (5/13)."
To calculate the probability, we need to determine the total number of seats and the number of seats at round tables.
There are 8 rectangular tables with 6 chairs each, so the total number of seats at rectangular tables is 8 * 6 = 48.
There are 5 round tables with 4 chairs each, so the total number of seats at round tables is 5 * 4 = 20.
The total number of seats in the community center is 48 + 20 = 68.
The probability of the first freshman being seated at a round table is the number of seats at round tables (20) divided by the total number of seats (68), which gives us 20/68 = 5/17.
Therefore, the correct answer is option C: 5/17.
In conclusion, the probability that the first freshman to arrive will be seated at a round table is 5/17. This is obtained by dividing the number of seats at round tables by the total number of seats in the community center.
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Related Questions
241 divided by 34 pleaseeeee
Answers
Answer:
Step-by-step explanation:
7.08823529412
Answer:
Step-by-step explanation:
7.08823529412
Runge-Kutta method 4th order derivative C program
3. Design a C program for Runge-Kutta method of 4th order to solve a first order Ordinary Differential Equation with initial condition and hence solve the D.E. y' = y - 2xy, y(0) = 1 by R-K method wit
Answers
The C program for RK 4th order .
C program,
#include<stdio.h>
//differential equation "dy/dx = (y-2*x*y)"
float f(float x, float y)
{
return(y-2*x*y);
}
int main()
{
// Finds value of y for a given x using step size h
int i,n;
float x0,y0,x,h,k1,k2,k3,k4;
printf("Enter the value of x:");
scanf("%f",&x);
//initial value y0 at x0.
printf("Enter the initial value of x & y:");
scanf("%f%f",&x0,&y0);
//step size
printf("Enter the value of h:");
scanf("%f",&h);
//prints the initial value of y at x and step size.
printf("x0=%f\t yo=%f\t h=%f\n",x0,y0,h);
//Count number of iterations using step size or
//step height h
n=(x-x0)/h;
// Iterate for number of iterations
for(i=1;i<=n;i++)
{
//Apply Runge Kutta Formulas to find
//next value of y
k1 = h*f(x0,y0);
k2 = h*f(x0+h/2,y0+k1/2);
k3 = h*f(x0+h/2,y0+k2/2);
k4 = h*f(x0+h,y0+k3);
//Update next value of y
y0 = y0+(k1+2*k2+2*k3+k4)/6;
//Update next value of x
x0=x0+h;
}
//print the value of y at entered value of x.
printf("at x=%f\t,y=%f\n",x,y0);
return 0;
}
Solution of DE,
y' = y - 2xy, y(0) = 1
The task is to find value of unknown function y at a given point x.
Below is the formula used to compute next value yn+1 from previous value yn. The value of n are 0, 1, 2, 3, ….(x – x0)/h.
Here h is step height and xn+1 = x0 + h
\(K_{1} = h f(x_{n} ,y_{n} )\)
\(K_{2} = hf( x_{n} + h/2 , y_{n} + K_{1}/2 )\)
Thus,
\(y_{n+1} = y_{n} + K_{1} / 6 + K_{2} / 3 + K_{3} / 3 + K_{4} / 6 +O(h^{5} )\)
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Determine each sum or difference.
A) -3.6+(-21.9) b) -43.91-(-9.44)
Answers
Need help on this question as well
Answers
The required arc length of sector VW is 8\(\pi\).
Given that, in a circle U, radius UV = 9 and central angle of sector m∠VUW = 160°.
To find the arc length of sector VW, we can use the formula:
Arc length = (central angle / 360) x circumference of the circle.
First, find the circumference of the circle by the formula for the circumference of a circle is given by:
Circumference = 2 x \(\pi\) x radius.
Circumference = 2 x \(\pi\) x 9 = 18π.
Now, let's find the arc length of sector VW using the central angle of 160 degrees:
Arc length = (160/360) x 18π
Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).
Therefore, the arc length of sector VW is 8\(\pi\).
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Find the Area of the Trapezoid.
Answers
Answer:
18 ft^2
Step-by-step explanation:
A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N
Answers
Considering the confidence interval given, the likely difference is given by:
\(\frac{0.064 + (-0.014)}{2} = 0.025\)
What is the point estimate of a confidence interval?Given an interval (a,b), the point estimate is the mean of the bounds, that is:
p = (a + b)/2.
In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:
\(\frac{0.064 + (-0.014)}{2} = 0.025\)
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what is the output? def is_even(num): if num == 0: even = true else: even = false is_even(7) print(even)
Answers
The given program aims to determine if the number is even or odd. The program begins by defining a function called is_even with the parameter num.
The function has two conditions: if the num is equal to 0, then even will be set to true, and if not, even will be set to false.Then, the program calls the function is_even(7) with 7 as an argument, which means it will check if the number 7 is even or not. It is important to note that the value of even is only available inside the function, so it cannot be accessed from outside the function.In this scenario, when the program tries to print the value of even, it will return an error since even is only defined inside the is_even function. The code has no global variable called even. Thus, the code will return an error.In conclusion, the given program will raise an error when it is executed since the even variable is only defined inside the is_even function, and it cannot be accessed from outside the function.The given Python ode cheks whether a number is even or odd. The program defines a function called is_even with the parameter num, which accepts an integer as input. If the num is 0, the even variable will be set to True, indicating that the number is even. Otherwise, the even variable will be set to False, indicating that the number is odd.The function does not return any value. Instead, it defines a local variable called even that is only available within the function. The variable is not accessible from outside the function.After defining the is_even function, the program calls it with the argument 7. The function determines that 7 is not even and sets the even variable to False. However, since the variable is only available within the function, it cannot be printed from outside the function.When the program tries to print the value of even, it raises a NameError, indicating that even is not defined. This error occurs because even is only defined within the is_even function and not in the global scope. Thus, the code has no global variable called even.
The output of the code is an error since the even variable is only defined within the is_even function. The function does not return any value, and the even variable is not accessible from outside the function. When the program tries to print the value of even, it raises a NameError, indicating that even is not defined.
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Consider the following function call round(3.14159, 3) what is the return value? a.3.14159 b.3.141 c.3.14 d.3.1
Answers
The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.
The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.
The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.
So, the correct answer is:
b. 3.142
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a garden table and a bench cost 573 combined. The garden table costs 77.00 less than the bench. what is the cost of the bench
Answers
Let 'x' represent the cost of the garden table.
Let 'y' represent the cost of the bench.
Therefore, from the first statemenet
\(x+y=573\ldots\ldots.1\)From the second statement,
\(x=y-77\ldots\ldots2\)Substitute x = y - 77 into equation 1
\(\begin{gathered} x+y=573 \\ y-77+y=573 \end{gathered}\)Collect like terms
\(\begin{gathered} y+y=573+77 \\ 2y=650 \end{gathered}\)Divide both sides by 2
\(\begin{gathered} \frac{2y}{2}=\frac{650}{2} \\ y=325 \end{gathered}\)Therefore, the cost of the bench is 325.
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answers
The values of x that satisfy the equation are x = 13 and x = 1. The other two options, x = -29 and x = 42, are not solutions to the equation.
What is equation?A mathematical statement proving the equality of two expressions is known as an equation. The left-hand side (LHS) and the right-hand side (RHS), which are commonly joined by the equal sign (=), make up this structure.
Many mathematical operations, such as addition, subtraction, multiplication, division, exponents, and roots, can be used in equations. Finding the variable value or variables that make an equation true is the aim when solving an equation.
Based on their degree, or the highest power of the variable in the equation, equations can be categorized. A quadratic equation, for instance, has a degree of 2, while a linear equation has a degree of 1. Moreover, the number of solutions to an equation can be used to categorize it.
Starting with the equation:
(x – 7)^2 = 36
Taking the square root of both sides, we get:
x – 7 = ±6
Solving for x in each case, we get:
x – 7 = 6, which gives x = 13
or
x – 7 = -6, which gives x = 1
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The table shows the votes of 900 people in the last elections.
Political
Party
Labour
Conservative
Lib Democrat
Other
Frequency
345
480
60
15
Angle in
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Labour, then Conservative etc...).
Answers
The angle of labour, Conservative Lib Democrat Other is 138, 192, 24 and 6 degree respectively.
The table shows the votes of 900 people in the last elections.
Political Party Frequency Angle in
Labour 345
Conservative 480
Lib Democrat 60
Other 15
345 + 480 + 60 + 15 = 900
The total angle in a pie chart is 360
The angle for labour is = 360 (345 / 900) = 138 degree
The angle for Conservative is = 360 (480 / 900) = 192 degree
The angle for Lib democrate is = 360 (60 / 900) = 24 degree
The angle for others is = 360 (15 / 900) = 6 degree
Therefore, the angle of labour, Conservative Lib Democrat Other is 138, 192, 24 and 6 degree respectively.
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a patio is to be made using square paving stones that are all the same size. there will be no gaps between the paving stones, and they will not overlap. the line in the xy-plane above represents the relationship between the area y, in square feet, of the patio and the number of paving stones, x, used to make the patio. the top surface of each paving stone is a square with side length k feet. what is the value of k? a) 1 b) 2 c) 3 d) 4
Answers
The value of k must be c) 3, as it satisfies the requirement for the side length of the paving stone in feet, resulting in a meaningful relationship between the area of the patio and the number of paving stones.
To find the value of k, we need to consider the relationship between the area y of the patio and the number of paving stones x used to make the patio.
Since the top surface of each paving stone is a square with side length k feet, the area of each paving stone is \(k^2\) square feet.
Now, let's consider the relationship between the area of the patio and the number of paving stones. We know that there will be no gaps between the paving stones, and they will not overlap. This implies that the area of the patio will be equal to the sum of the areas of all the paving stones used.
Let's assume that each paving stone covers an equal area of the patio. In this case, the area y of the patio will be directly proportional to the number of paving stones x used, and the constant of proportionality is the area of each paving stone, which is \(k^2\).
Therefore, the relationship between y and x can be expressed as \(y = k^2x.\)
From this relationship, we can see that the value of k will depend on the relationship between the units used for area (square feet) and the number of paving stones (unitless).
Since we want the side length k to be in feet, the value of k can be determined by considering the options provided: a) 1, b) 2, c) 3, d) 4.
We can eliminate options a) 1, b) 2, and d) 4 since these values would not result in a meaningful relationship between the area of the patio and the number of paving stones.
Therefore, the value of k must be c) 3, as it satisfies the requirement for the side length of the paving stone in feet, resulting in a meaningful relationship between the area of the patio and the number of paving stones.
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You buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. What is the installment price?
Answers
The installment price is $55.
How to find the price?This can be illustrated through an expression. Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Here, you buy an I-phone for $800 or pay $75 down and the balance in 12 monthly payments of $65. The total amount will be:
= 75 + (12 × 65)
= $855
The installment will be:
= $855 - $800
= $55
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How to solve for the unknown
Answers
Answer:
x = 49
Step-by-step explanation:
the figure inside the circle is a cyclic quadrilateral.
the opposite vertices of a cyclic quadrilateral sum to 180° , then
x + 68 + 63 = 180
x + 131 = 180 ( subtract 131 from both sides )
x = 49
Find the speed in miles per minute. The subway car travels ¼ mile in ½ minute.
1/4
2
2/4
.5
Answers
The following are all 5 quiz scores of a student in a statistics course. Each quite was graded on a 10-point scale. Assuming that these scores constitute an entire population, find the standard deviation of the population. ROUND YOUR ANSWER TO TWO DECIMAL PLACES
Answers
Solution
The following are all 5 quiz scores of a student in a statistics course. Each quite was graded on a 10-point scale
Where, n = 5
\(9,10,9,8,9\)To find the standard deviation, firstly we will find the mean
\(Mean=\frac{9+10+9+8+9}{5}=\frac{45}{5}=9\)Secondly, we will subtract the mean from each score
The standard deviation will be
\(\sigma=\sqrt{\frac{\sum^(x-mean)^2}{n}}=\sqrt{\frac{2}{5}}=\sqrt{0.4}=0.63\text{ \lparen two decimal places\rparen}\)Hence, the standard deviation is 0.63 (two decimal places)
Keisha bought 12 pounds of sugar for $7. How many pounds of sugar did she get per dollar?
Answers
Answer:
1.71 pounds of sugar per dollar.
Step-by-step explanation:
To calculate how many pounds of sugar Keisha got per dollar, we divide the total amount of sugar by the total amount of money spent. In this case, she bought 12 pounds of sugar for $7, so we divide 12 by 7:
12 ÷ 7 = 1.71
So, Keisha got 1.71 pounds of sugar per dollar.
Marie get allowance everyday she gets 10$ each week she already has 30$ But she wants 90$ how much money does she need to make 90$? this question didnt make sense but my teacher needs this question done so can someone HELP ME
Answers
Answer:
She needs $60 more so she has to work 6 weeks to get that much.
Step-by-step explanation:
x = each week
y = total
Equation:
90 = 10x + 30
10x = 60
x = 6
Answer:
She needs 60 dollars, it would take her 6 weeks to reach this amount of money
Step-by-step explanation:
90 - 30 = 60 dollars
60 ÷ 10 = 6
10² - (-10)² - (-10)²
Answers
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
Multiply the starting price by the right term that uses the compound average to show that the arithmetic mean does not recover the final price while the geometric and continuous means do. Convert the percent averages to fractions.
$53. 07 x (1 + arith mean) 3 = 53.07 x (1 + #21 %) 3 = #22
$53. 07 x (1 + geom mean) 3 = 53.07 x (1 + #23 %) 3 = $ #24
$53. 07 x e cont mean x 3 = 53.07 x e #25 % x 3 = $ #26
I need help filling out numbers #21 through #26
Answers
The values for numbers #21 through #26 are as follows:
#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397
#21: 2.33% (arithmetic mean as a fraction: 0.0233)
#22: $56.4842 (result of the calculation)
#23: 1.85% (geometric mean as a fraction: 0.0185)
#24: $56.4148 (result of the calculation)
#25: 3.64% (continuous mean as a fraction: 0.0364)
#26: $57.4397 (result of the calculation)
To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.
#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.
#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.
#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.
#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.
#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.
#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.
Hence, the values for numbers #21 through #26 are as calculated above.
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Help, will rate brainlist if correct!!
y = x4 - 5x2
A.) What is the y-intercept of this graph? How do you know? (1 point)
B.) What are the x-intercepts/roots/zeros? Show your work. (4 points)
C.) Describe the end behavior of this function (2 points)
D.) Draw a graph of this function, carefully labeling your intercepts and showing the end behavior.
Answers
A. The y-intercept is at the point (0, 0).
B. The zeros are x = 0 or x = ±√5
C.
How to solve the expressionA) The y-intercept of this graph is the point where x = 0.
When x = 0, the value of y
= 0^4 - 5*0^2
= 0.
Therefore, the y-intercept is at the point (0, 0).
B) The x-intercepts/roots of the function are the values of x that make y = 0.
To find these values, we need to set y = 0 and solve for x:
x⁴ - 5x² = 0
x⁴ = 5x²
x² = x⁴/5
x = ±√(x⁴/5)
We can simplify this expression by factoring x² out of both sides:
x²(x² - 5) = 0
x² = 0 or x² - 5 = 0
x = 0 or x = ±√5
hence the x-intercepts are at x = 0 and x = ±√5.
C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.
x → ∞ f(x) → ∞
x → -∞ f(x) → -∞
D) The graph is attached
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can someone please help me with these two
Answers
Answer:
1)
x=8 degrees
<B=70 degrees
2)
<MON=57 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps :)
plz mark as brainliest
(3^7)/(3^4)×33
Plz tell fast
Answers
Answer:
\( \Huge \bf \underline {\underline{Given}}\) \( : \implies \sf\dfrac{ {3}^{7} }{ {3}^{4} } \times 33\)\(\Huge\bf\underline{\underline{Solution}}\)\( : \implies \sf\dfrac{ {3}^{7} }{ {3}^{4} } \times 33\)\({ : \implies \sf\dfrac{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3}{3 \times 3 \times 3 \times 3} \times 33}\)\({ : \implies \sf\dfrac{ \cancel{3} \times \cancel{ 3}\times \cancel{3}\times \cancel{ 3}\times 3 \times 3 \times 3}{\cancel{ 3} \times \cancel{ 3} \times \cancel{ 3} \times \cancel{ 3}} \times 33}\)\( : \implies \sf3 \times 3 \times 3 \times 33\)\( : \implies \sf27 \times 33\)\(: \implies \sf891\)\( \bigstar \underline {\boxed {\red{ \bf{891}}}}\)Which equation is represented by the graph below?
a) y=2/3x-g b) y= 3/2x-g c) y= 2/3x+6 d) y= 3/2x+6
Answers
Answer:
c. y = 2/3x + 6
Step-by-step explanation:
If you look closely, the line goes up two and right three so the slope is 2/3. The 6 represents the y intercept.
Pls answer ASAP due right now
Find the difference.
Jeremy is practicing some tricks on his skateboard. One trick takes him forwards 6 feet, then he flips
around and moves backwards 7.9 feet, then he moves forward again for 1.9 feet.
What expression could be used to find how far Jeremy is from his starting position when he finishes the
trick?
Answers
0= 6-7.9+1.9
What is the solution to the system of equations? 3y+7x=10 and -3y+10x =24 A. (3,7) B. (-3,10) C. (2,-4/3) D. (4/7,2)
Answers
85 percent ia d.(4/7,2).
If a+b+c = 0 then a3 + b3 + c3 is equal to
a.abc
b.0
c.3abc
d.9abc
Answers
Write an equivalent expression to x-4y+9
Answers
Answer:
Step-by-step explanation:
you could break up a term, like the y term.
x+2y+2y+9 this is equivalent
In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.
Answers
a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.
this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.
the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.
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HELP!!! Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 A) −6553.2 B) −10.8 C)6554 D)11.6
Answers
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
\(S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}\)
Which gives;
\(S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554\)
Therefore, the correct option is C) 6554.