The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
the answer is 20
Step-by-step explanation:i
hope it helps
Find the selling price.
Cost to store: $50
Markup: 10%
Based on the information given the selling price is $55.
Selling price
Using this formula
Selling price=Cost price+(Cost price×Markup percentage)
Where:
Selling price=$50
Markup percentage=10%
Let plug in the formula
Selling price=$50+($50×10%)
Selling price=$50+$5
Selling price=$55
Inconclusion the selling price is $55.
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Extra Credit Fibonacci Numbers A restaurant owner knows that customers are fickle and each year is equally likely to be "good" or "bad." Looking over his records for the past eight years he notices that he never had two bad years in a row. How likely was this to happen? Hint: Fibonacci numbers. Solve the problem for 1 year, 2 years, 3, 4, 5, etc., by hand and look for a pattern. (10 points) 55/(2^8) approx. 21.9%
The likelihood of not having two bad years in a row over the course of 8 years is 0.918 or 91.8%.
To solve the problem, let's analyze the pattern of good and bad years using the concept of Fibonacci numbers.
When considering the sequence of years, we can start with the base cases:
For 1 year:
There are two possibilities: "good" or "bad."
In this case, there is a 100% chance of not having two bad years in a row.
For 2 years:
Again, there are two possibilities for each year.
We have to count the cases where we don't have two bad years in a row.
"Good, Good" is allowed.
"Good, Bad" is allowed.
"Bad, Good" is allowed.
"Bad, Bad" is not allowed.
Out of the four possibilities, only three meet the condition.
So, the probability is 3/4.
Based on the pattern observed so far, we can make a conjecture. For n years:
The total number of possibilities is 2ⁿ (each year can be "good" or "bad").
The number of cases where we don't have two bad years in a row is the Nth Fibonacci number.
Therefore, the probability of not having two bad years in a row is the Nth Fibonacci number divided by 2ⁿ.
For 8 years:
The 8th Fibonacci number is 21.
The total number of possibilities is 2⁸ = 256.
So, the probability is 21/256, which is approximately 0.082.
We have to find the likelihood of this event not happening, so we subtract this probability from 1:
1 - 21/256
= 235/256
= 0.918.
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Using the GCF, what is the factored form of 24v – 84?
3(8v – 28)
6(4v – 14)
12(2v – 7)
24(v – 60)
Answer: 2(3+x)(5-x)
Step-by-step explanation:
Answer:
2(3+x)(5-x)
Step-by-step explanation:
in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?
Answer: 1.43 meters
Step-by-step explanation:
subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record
Solve using MATLAB, also solve the problem in handwritten
solution
nd the closesloop transfer function, \( T(s)=\frac{C(s)}{R(s)} \) for the system shown below where \( G_{1}(s)=\frac{1}{2 s+7}, G_{2}(s)=\frac{1}{s+4}, G_{3}(s)=\frac{1}{s}, H_{1}(s)=\frac{1}{s+2} \).
The closed-loop transfer function \(T(s)=\frac{C(s)}{R(s)}\) The closed-loop transfer function
\(T(s) = \frac{G_{1}(s)G_{2}(s)G_{3}(s) }{1+G_{1}(s_)G_{2}(s)G_{3}(s)H_{1}(s) }\)
Substituting the given transfer functions:
\(T(s) =\frac{\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s} }{1+\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s}\frac{1}{s+2} }\)
Simplifying further if desired.
The closed-loop transfer function is obtained by connecting the individual transfer functions in series and feedback configurations. In this case, we have three transfer functions \(G_{1}(s), G_{2}(s)\) and \(G_{3}(s)\) in series, and a feedback loop with the transfer function \(H_{1}(s)\).
To find the closed-loop transfer function \(T(s)=\frac{C(s)}{R(s)}\), we multiply the transfer functions in the series configuration and divide it by 1+ the product of all the transfer functions in the feedback loop.
Substituting the given transfer functions:
\(T(s)=\frac{G_{1}(s)G_{2}(s)G_{3}(s) }{1+G_{1}(s)G_{2}(s)G_{3}(s)H_{1}(s) }\)
Plugging in the given transfer functions:
\(T(s)=\frac{\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s} }{1+\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s}\frac{1}{s+2} }\)
Further simplification can be done if desired.
The closed-loop transfer function \(T(s)=\frac{C(s)}{R(s)}\) for the given system, using the provided transfer functions, is given by the expression:
\(T(s) =\frac{\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s} }{1+\frac{1}{2s+7}\frac{1}{s+4}\frac{1}{s}\frac{1}{s+2} }\)
This transfer function represents the relationship between the output \(C(s)\) and the input \(R(s)\) in the closed-loop configuration of the system.
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12 pennies 9 nickels 23 dimes and 16 quarters
Answer:$6.87
Step-by-step explanation:
if you add them up you end up wit $6.87
six students take an exam. for the purpose of grading, the teacher asks the students to exchange papers so that no one marks his or her own paper. in how many ways can this be accomplished
We cannot have a fractional of ways to exchange papers, we round down to get 265 ways.
Let's assume the six students are labeled as 1, 2, 3, 4, 5, and 6. Student 1 can exchange papers with any of the other 5 students, leaving 4 students to exchange papers with for student 2, 3 students for student 3, and so on. Therefore, the total number of ways to exchange papers is:
5 × 4 × 3 × 2 × 1 = 120
Alternatively, we can use the formula for the number of derangements of n elements, which is:
D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)
For n = 6, we have:
D(6) = 6!(1/0! - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)
= 720(1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)
= 720(0.368)
≈ 265.29
Since we cannot have a fractional number of ways to exchange papers, we round down to get 265 ways.
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Since we cannot have a fraction of a way to exchange papers, we round the result to the nearest whole number. There are approximately 264 ways the papers can be exchanged so that no student marks their own paper.
To calculate the number of ways the papers can be exchanged so that no student marks their own paper, we can use the concept of derangements.
A derangement is a permutation of a set in which no element appears in its original position. In this case, we want to find the number of derangements of the six students.
The formula for calculating the number of derangements of n objects is given by the derangement formula:
D(n) = n!(1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)
Using this formula, we can calculate the number of derangements for n = 6:
D(6) = 6!(1 - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)
Calculating the values, we get:
D(6) = 720(1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)
= 720(0.368)
≈ 264.384
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Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
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find f(x)=5x^2-4x and g(x)=5x+1 find f-g
Step-by-step explanation:
when you do a mathematical operation between 2 functions that simply means you do this operation between both functional expressions.
so, here :
f - g = (5x² - 4x) - (5x + 1) = 5x² - 9x - 1
Help?
I tried : 3b^2(2b-1)(2b+1) and it was wrong ):
Answer:
b(3b−10)(b−1)
Step-by-step explanation:
b(3b−10)(b−1)
PLEASE HELP ASAP !!!!!
A: 12 per 1000
B: 3 per 1000
C: 2 per 1000
D: 11 per 1000
Answer:
D
Step-by-step explanation:
11 per 1,000
Problem 2. Cady Herring, the F&B director, of 300 room Lohan
Hotel uses the following regression equations for forecasting
number of meals sold based on the number of in-house guests:
Y= 60+0.39X
The regression equation used by Cady Herring, the F&B director of Lohan Hotel, for forecasting the number of meals sold based on the number of in-house guests is: Y = 60 + 0.39X
In the regression equation, Y represents the forecasted number of meals sold, and X represents the number of in-house guests. The equation is in the form of a simple linear regression, where the coefficient of X (0.39) represents the estimated increase in the number of meals sold for each additional in-house guest.
To forecast the number of meals sold, we multiply the number of in-house guests by the coefficient (0.39) and add the intercept term (60). This equation assumes a linear relationship between the number of meals sold and the number of in-house guests, with a constant increase in meals sold for each additional guest.
For example, if the number of in-house guests is 100, we can calculate the forecasted number of meals sold as follows:
Y = 60 + 0.39 * 100
Y = 60 + 39
Y = 99
Therefore, based on this regression equation, Cady Herring would forecast 99 meals sold when there are 100 in-house guests.
Cady Herring, the F&B director of Lohan Hotel, uses the regression equation Y = 60 + 0.39X to forecast the number of meals sold based on the number of in-house guests. The equation assumes a linear relationship between the variables and provides a straightforward method to estimate the number of meals sold. By multiplying the number of in-house guests by the coefficient (0.39) and adding the intercept term (60), the forecasted number of meals sold can be determined. It is important to note that this analysis assumes the validity of the regression model and the underlying assumptions of linear regression.
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PLEASE HELP ASAP FOR 30 POINTS! !!!! Two Pony Express riders each rode part of a 336-mile trip. Each rider rode the same number of miles. They changed horses every 12 miles. How many horses did each rider use?
Answer:
28 horses
Step-by-step explanation:
336/12=28
because every 12 miles they change the horse.
Your answer
Solve: *
1 + 3x - x = x - 4 + 2x
Vouanever
What is the product of 5.2 x 10^4 and 1.3 x 10^-2?
6.76×10^8
6.76×10^2
6.76×10^-2
6.76×10^-8
Answer:
i believe it's 6.76×10^2
SOMEONE HELP ME PLEASE
Answer:
(36+22+19)=77
then add red and yellow
=(36+22)
=58
then the probability will be
58/77
HOPE IT HELP YOU.......
What is the distance between the following points?
A circular plate has a circumference of 34.54in. What is the area? Use 3.14 for pie and round to the nearest square inch.
The area of the circular plate is 9234 inches²
How to find area of the circular plate?The plate is circular and have a circumference of 34.54 inches.
Hence, let's find the radius of the circular plate using the circumference of the circular plate.
circumference of the circular plate = 2πr
where
r = radiusTherefore,
34.54 = 2π × r
r = 34.54 / 2π
r = 17.27π
Therefore,
area of the circular plate = πr²
area of the circular plate = π × ( 17.27π)²
area of the circular plate = π³ × 298.2529
area of the circular plate = 3.14³ × 298.2529
area of the circular plate = 9233.65447952
area of the circular plate = 9234 inches²
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scientific notation for 121000
12. Calculate the slope of the line that
passes through the points (-4,-7) and
(1-7).
A. undefined
B. 0
14
C.
5
14
D.
3
Answer:
0
Step-by-step explanation:
m=y1-y2/x2-x1. Plug in your values. -7-(-7)/1-(-4). Simplifies to 0/5, or 0.
Geometry help!!
Please solve and show work!! I’m rly stuck
Answer:
Fencing = 95.03ft
Step-by-step explanation:
Since there is a path 3 ft wide around the garden, Ross needs to put a fence around the path.
To find that we need to find the circumference of the garden including the path.
Radius of garden = diameter/2 = 2.5
path = 3ft
new radius = 5.5
circumference = π\(r^{2}\)
circumference = 95.03 ft
dont answer if u dont know please!!
Answer:
Step-by-step explanation:
True or false? (-x)^4 = -x^4 Explain your answer.
Answer:
true, theres nothing inside the parenthesis meaning that you remove it as a first step
Step-by-step explanation:
10. - In order to save money for prom this weekend, Kenny is going to walk his neighbor's dog for $12 per
hour and wash cars for $16 per hour. His mother told him he can work no more than 10 hours in order to
keep up with his homework. If Kenny would like to make at least $70 to cover prom expenses, help him
determine combinations of hours he can work between these two jobs.
Answer:$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!
Step-by-step explanation:
Which of the following is closest to the area of the shaded region below?
Answer:
F(3) = 2
Step-by-step explanation:
Got it right
Nicholas was receiving rental payments of $3,000 at the beginning of every month from the tenants of her commercial property. What would be the value of her property in the market if she wants to sell it, assuming a market capitalization rate of 5.75% compounded annually? Round to the nearest cent
The value of Nicholas' property in the market, considering a market capitalization rate of 5.75% compounded annually, is approximately $346,581.15 rounded to the nearest cent.
To calculate the value of Nicholas' property in the market, we need to determine the present value of the rental payments using the market capitalization rate of 5.75% compounded annually.
The value of Nicholas' property can be calculated using the formula for present value of an annuity:
PV = P * (1 - (1 + r)^(-n)) / r,
where PV is the present value, P is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is $3,000 per month, the interest rate is 5.75% (or 0.0575) per year, and we need to calculate the present value over the entire holding period of the property.
To convert the interest rate to a monthly rate, we divide it by 12. So, the monthly interest rate is 0.0575 / 12 = 0.0047917.
Next, we need to determine the number of periods. Assuming Nicholas plans to hold the property for a certain number of years, we multiply the number of years by 12 to get the number of months.
Let's say Nicholas plans to hold the property for 10 years. The number of periods would be 10 * 12 = 120.
Plugging the values into the formula, we have:
PV = 3000 * (1 - (1 + 0.0047917)^(-120)) / 0.0047917.
Evaluating this expression, we find that the present value of the rental payments is approximately $346,581.15.
Therefore, the value of Nicholas' property in the market would be approximately $346,581.15 rounded to the nearest cent.
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Can someone help with this?
In the given diagram, given that the shapes have the same area, the value of y is 3.
Calculating Area: Determining the value of yFrom the question, we are to determine the value of y in the given diagram.
From the given information,
The yellow shapes have the same area.
The area of the shape is
Area = 8 × (3y + 1)
Area = 24y + 8
For the second shape,
Area = (15 × (y + 5)) - (4 × (7y - 11))
Area = (15y + 75) - (28y - 44)
Area = 15y + 75 - 28y + 44
Area = 119 - 13y
Since the shapes have the same area, we can write that
24y + 8 = 119 - 13y
24y + 13y = 119 - 8
37y = 111
y = 111/37
y = 3
Hence, the value of y is 3
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whats 5x=2x+9 i need this asap
Answer:
How to solve your question
Subtract
2 2x 2x
from both sides of the equation5 = 2 + 95 − 2 = 2 +9 − 2 2
Simplify
Combine like terms
3 = 9 3
Divide both sides of the equation by the same term
3 = 9 3 3= 9 3 4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
= 3
Solution
= 3