There are 75 ways for the bags to be returned to the students such that none of them get their own bags back.
To solve this problem, we can use the principle of derangements. A derangement is a permutation of elements in a set where no element appears in its original position. In this case, the bags represent the elements, and we want to find the number of derangements of the bags.
Let's denote the students as S1, S2, S3, S4, and S5, and their corresponding bags as B1, B2, B3, B4, and B5.
To find the number of derangements, we can use the following formula:
D(n) = n! * (1 - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)
Where D(n) represents the number of derangements of n elements.
For n = 5, the formula becomes:
D(5) = 5! * (1 - 1/1! + 1/2! - 1/3! + 1/4! - 1/5!)
Let's calculate the value step by step:
D(5) = 5! * (1 - 1 + 1/2 - 1/6 + 1/24 - 1/120)
= 120 * (1 - 1 + 1/2 - 1/6 + 1/24 - 1/120)
= 120 * (1 - 1/2 + 1/6 - 1/24 + 1/120)
= 120 * (15/24)
= 120 * 5/8
= 75
Therefore, there are 75 ways for the bags to be returned to the students such that none of them get their own bags back.
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hellp and u git a braintasic
Answer:
whats the question?? lol
Step-by-step explanation:
Which division problem does the number line below best illustrate?
0 1 2 3 4 5 6 7 8 9 10 11 12 13
O 12-3-4
O 9-3-3
O 12-2-6
o 16-4-4
Answer:
12/3=4 ..............
What is14 %600 of ?
Answer: 14% of 600 is 84
Step-by-step explanation:
Write 14% as 14/100
Since finding the fraction of a number is the same as multiplying the fraction with the number, we have
14/ 100 of 600 =
14/ 100 × 600
therefore the answer is 84
Answer:2.33333334
Step-by-step explanation:
it could be 84
20 x(-1) = *
Your answer
-20
Answer:
Yes that is very much correct y'know thanks for the free points
Step-by-step explanation:
A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 15 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.
Answer:
60-15y=x
Step-by-step explanation:
At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3. 14 for π and round your answer to the nearest tenth. 50. 2 feet 56. 5 feet 100. 5 feet 113. 0 feet.
Answer:
(b) 56.5 ft
Step-by-step explanation:
The circumference of a circle of diameter d is given by ...
C = πd
For the given diameter, the circumference of the frame is ...
C = (3.14)(18 ft) ≈ 56.52 ft
The length of the outside edge of the frame is about 56.5 feet.
GIVING BRAINLIEST!!! PLS HELP!!! :((
Answer:
2nd answer
Step-by-step explanation
Answer:
people are survivors and also a good person that can help with dysphoria of a child then a person that has a relationship to the parent and also wants you are not links with the person that is not a good friend or not a child and not everyone have to do that with a friend who are you stu you are a incel.co girl gamer who are not the only one of the things I do understand what I don't like it then you would know what he'll be like you and what you want me and then you are going
What is the distance between the points E and F
a certain data set has a standard deviation of 20 and a mean of 150. one of the values in the data set is 120, what is the z-score for this data point?
Answer:
The z-score for this data point is -1.5
Step-by-step explanation:
Mean = M = 150
Standard Deviation = S = 20
Value = x = 120
We find the z value,
\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)
Hence the z value is z = -1.5
How do you divide fast without a calculator?
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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Suppose that the daily log return of a security follows the model rt = 0.02 +0.5rt-2 + et where {e} is a Gaussian white noise series with mean zero and variance0.02. What are the mean and variance of the return series rt? Compute the lag-1 and lag-2 autocorrelations of rt. Assume that r100 = -0.01, and r99 = 0.02. Compute the 1- and 2-step-ahead forecasts of the return series at the forecast origin t = 100. What are the associated standard deviation of the forecast errors?
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
We have,
To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:
Mean of rt:
E(rt) = E(0.02 + 0.5rt-2 + et)
= 0.02 + 0.5E(rt-2) + E(et)
= 0.02 + 0.5 * 0 + 0
= 0.02
The variance of rt:
Var(rt) = Var(0.02 + 0.5rt-2 + et)
= Var(et) (since the term 0.5rt-2 does not contribute to the variance)
= 0.02
The mean of the return series rt is 0.02, and the variance is 0.02.
To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
= Cov(r100, r99) / (σ(r100) * σ(r99))
= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
= Cov(r100, r98) / (σ(r100) * σ(r98))
To compute the 1- and 2-step-ahead forecasts of the return series at
t = 100, we use the given model:
1-step ahead forecast:
E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)
= 0.02 + 0.5r100
2-step ahead forecast:
E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)
= 0.02 + 0.5E(rt | r100, r99)
= 0.02 + 0.5(0.02 + 0.5r100)
The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.
Thus,
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
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michelle is selling her condo. she needs to make at least $42,000 from the sale so she can make a down payment on a new house. if a 5.5% real estate commission is deducted, what is the lowest offer michelle should accept to get her down payment
Answer:
Minimum amount she needs = $44,444 (Approx)
Step-by-step explanation:
Given:
Down payment of house = $42,000
Real estate commission = 5.5%
Find:
Minimum amount she needs
Computation:
Minimum amount she needs = Down payment of house / (100% - Real estate commission)
Minimum amount she needs = [$42,000 / 94.5]100
Minimum amount she needs = $44,444 (Approx)
Plz help me. I’m on a math test! I need to know if it’s A , B , C or D. Get back to me ASAP , thank you.
Answer:
d
Step-by-step explanation:
Suppose the following estimated regression equation was determined to predict salary based on years of experience. Estimated Salary=21,640.90+2456.42(Years of Experience) What is the estimated salary for an employee with 18 years of experience?
The estimated salary for an employee with 18 years of experience is $65,856.46.
To find the estimated salary for an employee with 18 years of experience using the given regression equation, follow these steps:
1. Identify the regression equation: Estimated Salary = 21,640.90 + 2456.42 (Years of Experience)
2. Substitute the given years of experience (18 years) into the equation:
Estimated Salary = 21,640.90 + 2456.42(18)
3. Multiply 2456.42 by 18: 2456.42(18) = 44,215.56
4. Add 21,640.90 to the result from step 3: 21,640.90 + 44,215.56 = 65,856.46
The estimated salary for an employee with 18 years of experience is $65,856.46.
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(q19) The scores of a mid term exam are distributed normally with mean 70 and standard deviation 15. What percentage of students would have the score between 60 and 75?
, where µ is the average value.
37.4% of the students would have scores between 60 and 75.
To find the percentage of students who would have a score between 60 and 75, we need to calculate the area under the normal distribution curve between these two values.
Let's plug in the given values into the formula you provided and calculate the probability.
P(60 ≤ X ≤ 75) = ∫[60, 75] (1/(15 * √(2π))) * e^(-((x - 70)^2)/(2*15^2)) dx
To solve this integral, we can use numerical methods or standard statistical tables. However, in this case, it is more convenient to use z-scores.
First, we need to convert the scores 60 and 75 into z-scores by using the formula:
z = (x - μ) / σ
where x is the score, μ is the mean, and σ is the standard deviation.
For 60:
z₁ = (60 - 70) / 15 = -2/3
For 75:
z₂ = (75 - 70) / 15 = 1/3
Now we can look up the probabilities corresponding to these z-scores in the standard normal distribution table (also known as the z-table) or use a statistical calculator.
From the z-table, we can find the following probabilities:
P(-2/3 ≤ Z ≤ 1/3) ≈ 0.628 - 0.254 = 0.374
Among the given answer choices, the closest option is C. 0.378.
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Can you combine x3 and x2? Why or why not? Explain completely
Answer:
you can add 3x and 2x
Step-by-step explanation:
you can add them because they are both like terms
Answer:
yes
Step-by-step explanation:
you can combine them because they have the same base, and you can combine like terms
a recipe for sparking grape juice for 1 1/2 quarts of sparkling water and 2/4 quart grape juice Q1 How much sparkling water would you need to mix with 9 quarts of grape juice Q2 HOw much grape juice would you need to mix with 15/4 quarts of sparkling water Q3 How much of each ingredient would you need to make 100 quarts of punch
The quarts of water needed for 9 quarts of grape juice is 18 quarts of water .
The amount of grape juice needed for 15 / 4 quarts of water is 1 7/8.
The amount of water needed for 100 quarts is 66 2/3 quarts.
The amount of grape juice needed for 100 quarts is 33 1/3 quarts.
How much grape juice and sparkling water is needed?The first step is to determine the ratio between the ingredients needed for sparking grape juice.
Ratio of sparking water to grape juice - 1 1/2 : 2/4
When expressed in its simplest form, the ratio becomes - 1 1/2 : 1.2
This means that there are twice the amount of water is needed for 1 quart of grape juice.
Quarts of sparking water needed for 9 quarts of grape juice = 9 x 2 = 18 quarts of sparking water
Grape juice needed for 15/4 quarts of sparking water = 15 / 4 ÷ 2
15 / 4 x 1/2 = 15 / 8 = 1 7/8
Let a represent the quarts of grape juice that would be used to make 100 quarts of punch.
Let a represent the quarts of sparking water that would be used to make 100 quarts of punch.
a + 2a = 100
3a = 100
a = 100 / 3
a = 33 1/3
Quarts of sparking water needed = 100 - 331/3 = 66 2/3 quarts
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En un año reciente, un 22% de todos los estudiantes universitarios estaban matriculados a tiempo parcial. Si ese año 3.9 millones de estudiantes estaban matriculados a tiempo parcial, ¿cuál era el número total de estudiantes universitarios?
Resolviendo una simple ecuación con porcentajes, veremos que el número total de estudiantes es 17,727,273
¿Cual era el número total de estudiantes ese año?Sabemos que en un dado año, 22% del numero total de estudiantes universitarios estaban matriculados a tiempo parcial, y hay un total de 3,900,000 estudiantes matriculados a tiempo parcial.
Sí definimos N como el numero total de estudiantes, entonces el 22% de N es igual a 3,900,000, entonces podemos escribir la ecuación:
(22%/100%)*N = 3,900,000
0.22*N = 3,900,000
N = 3,900,000/0.22 = 17,727,273
Ese es el numero total de estudiantes.
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the mean number of words per minute (wpm) typed by a speed typist is 119 with a standard deviation of 15 wpm. what is the probability that the sample mean would be greater than 123.5 wpm if 33 speed typists are randomly selected? round your answer to four decimal places.
We can say that the probability of observing a sample mean of 123.5 wpm or higher by chance alone, assuming the population means is 119 wpm and the standard deviation is 15 wpm, is 4.18%.
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal, regardless of the underlying distribution, as long as the sample size is sufficiently large.
In this case, we have a population mean of 119 wpm and a standard deviation of 15 wpm. We want to know the probability that the sample mean would be greater than 123.5 wpm if 33-speed typists are randomly selected.
We can start by calculating the standard error of the mean, which is the standard deviation of the sample mean distribution. We can use the formula:
\($SE = \frac{\sigma}{\sqrt{n}}$\)
where SE is the standard error of the mean, σ is the population standard deviation, and n is the sample size.
Plugging in the values we have:
\($SE = \frac{15}{\sqrt{33}} \approx 2.60$\)
Next, we can calculate the z-score for a sample mean of 123.5 wpm using the formula:
\($z = \frac{\bar{x} - \mu}{SE}$\)
Plugging in the values we have:
z = (123.5 - 119) / 2.60 ≈ 1.73
Using a standard normal distribution table, we can find the probability that the z-score is greater than 1.73. This probability is approximately 0.0418.
Therefore, the probability that the sample mean would be greater than 123.5 wpm if 33-speed typists are randomly selected is approximately 0.0418 or 4.18% (rounded to four decimal places).
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The box plots show the weights, in pounds, of the dogs in two different animal shelters.One-half of the dogs in each shelter are between which weights?
One-half of the dogs in each shelter are between the weights represented by the first and third quartiles, which are approximately 20-55 pounds for the first shelter and 25-65 pounds for the second shelter, respectively.
A box plot is a visual representation of a set of data that shows the median, quartiles, and outliers of the data. The box represents the middle 50% of the data, with the bottom and top edges of the box representing the first and third quartiles, respectively. The line inside the box represents the median, or the middle value of the data set. The "whiskers" extend from the edges of the box to the minimum and maximum values of the data set, but outliers beyond the whiskers are represented as individual points.
Now, let's look at the two box plots showing the weights of dogs in two different animal shelters. One-half of the dogs in each shelter are between the first and third quartiles, which are represented by the edges of the box in each plot.
If we take the first box plot, we can see that the first quartile is approximately 20 pounds and the third quartile is approximately 55 pounds. Therefore, one-half of the dogs in this shelter weigh between 20 and 55 pounds.
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? 4 cm Area = 20 cm² 6 cm
The height of the triangle whose base is 4 cm and area is 20 cm² is 10 cm .
The area of a triangle is defined as the total space occupied by the three sides of the triangle in a two-dimensional plane. The basic formula for the area of a triangle is half the product of the base and the height, or A = 1/2 × b × h.It is given that base is 4 cm and area is 20 cm² .
Putting above values in area formula , we get
Area = 1 / 2 × base × height
20 = 1 / 2 × 4 × height
20 = 2 × height
10 cm = height
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The complete question is given below :
Find the height of the triangle whose base is 4cm and area is 20 cm².
WILL GIVE BRAINLIEST
Two gears are connected and rotating at the same time. The smaller gear completes 3 2/3 rotations every time the larger gear completes 1/3 of a rotation.
How many rotations does the smaller gear complete when the larger gear completes 1 rotation?
Drag and drop the correct value into the box.
A. 1/11
B. 11/9
C. 11
D. 22
A
Let's start by finding the gear ratio which is given by the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. Since the problem doesn't specify the number of teeth on each gear, we can assume that the gear ratio is expressed as a fraction p/q. Since the smaller gear completes 3 2/3 revolutions every time the larger gear completes 1/3 of a rotation, the gear ratio must be p/q = (11/3)/(1/3) = 11. This means that the larger gear must have 11 times as many teeth as the smaller gear.
If the larger gear completes one rotation, the smaller gear will complete 1/11 of a rotation, or 0.090909... rotations. Therefore, the smaller gear completes approximately 0.0909 rotations (or 3/33 rotations) when the larger gear completes 1 rotation.
Answer: C 11
Step-by-step explanation:
Small Gear 3 2/3 rotations for large 1/3 rotation
Ratio:
3 2/3 : 1/3 >mulitply both by 3 to make the large side =1
\((3\frac{2}{3} )(3) : \frac{1}{3} (3)\) >change 3 2/3 to improper and simplify right side
\(\frac{11}{3} (3) : 1\) >simplify
11 : 1
Interpretation:
The left side was the small gear and right side was large gear. Now we have the ratio that says the small gear will rotate 11 times for every 1 time the large gear rotates.
This makes sense because a small gear will rotate more times vs. a big one.
Sorry i am very confused on this pls help
The measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°
How to evaluate for the angle zWhen two angles are in the same segment, they have the same measure. This means that if you know the measure of one angle in a particular segment, you can determine the measure of any other angle in that segment.
angle z = angle C
angle C = 180° - (55 + 34 + 40)° {sum of interior angles of triangle ABC
angle C = 180° - 129°
angle C = 51°
also;
angle z = 51°
Therefore, the measure of the angle z of triangle ∆ABD in the same segment with angle C of triangle ∆ABC is equal to 51°
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Using the figure at the left, complete the extended similarity statement:
ΔUVW ∼ Δ _______ ∼ Δ __________
Answer:
\(\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}\)
Step-by-step explanation:
The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:
\(UA \propto AV \propto UV\), \(AW \propto UA \propto UW\), \(UW \propto UV \propto WV\)
Hence, the complete similarity statement is:
\(\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}\)
For each problem; find the volume of the = solid that results when the region enclosed by the curves revolved about the given axis. 15) Vy -1, X=- Y= Axis: x = -1 A) ~[(5' = B) n[ (9: & 23 I =26.704 7 = 24.086 n[ (19: &y D) "[(52 ~C) 81 = 25.133 107 ~ 31.416'
The volume of the solid that results when the region enclosed by the curves is revolved about the axis x = -1 is approximately 26.704 units cubed.
To find the volume of the solid that results when the region enclosed by the curves is revolved about the given axis, we use the method of cylindrical shells. The formula for the volume of a cylindrical shell is:
V = 2πrhΔx
where r is the distance from the axis of rotation to the shell, h is the height of the shell, and Δx is the thickness of the shell.
In this case, the axis of rotation is x = -1. We need to find the limits of integration for x and y in order to set up the integral for each problem.
The curves are \(y = x^2 - 1, y = -x,\) and x = -1. Solving for x in terms of y for each curve, we get:
\(x =± \sqrt{(y+1} )\) for y in [-1, 1]
x = -y for y in [-1, 0]
The limits of integration for y are -1 to 0 for the segment of the curve y = -x, and -1 to 1 for the segment of the curve \(y = x^2 - 1\). The limits of integration for x are -1 to √(y+1) for the upper half of the parabola, and -√(y+1) to -1 for the lower half.
The integral for the volume is:
V = 2π ∫[-1,0] ∫[-1,0] (-x - (-1))y dx dy + 2π ∫[-1,1] ∫[-√(y+1),√(y+1)] (√(y+1) - (-√(y+1)))y dx dy
Simplifying and evaluating this integral, we get V = 26.704.
Therefore, the volume of the solid that results when the region enclosed by the curves is revolved about the axis x = -1 is approximately 26.704 units cubed.
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8.0 times 10 negative 5 in standard form
Answer:
75
Step-by-step explanation:
hope this helps
A line passes through the points (7, 8) and (–7, 10). What is its equation in slope-intercept form?
Answer:
\(y=-\frac{1}{7}x+9\)
Step-by-step explanation:
The slope-intercept formula is:
\(y=mx+b\)
y= keep as variable
m= slope of the line
x= keep as variable
b= y-intercept of the line.
Hope this helped!
Brainliest please!
Mike drove a nail 2.5 in. long through a board 0.75 in. thick into a post. How far did the nail go into the post?
Answer:
1.75 inches deep into the post
Step-by-step explanation:
First, you do 2.5 - 0.75 which is 1.75 in
The answer is 1.75 in
Hope this helps!
Ab and cd with m as the midpoint of both ab and cd. ab = 6.4 cm and cd = 4.0 cm. a, b and c are not collinear.
From the straight line AB and CD with point M as midpoint of both lines, AM = BM = 3.2 cm and CM = DM = 2 cm
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
m as the midpoint of both ab and cd, hence:
AM = BM = AB/2 = 6.4/2 = 3.2 cm
CM = DM = CD/2 = 4/2 = 2 cm
From the straight line AB and CD with point M as midpoint of both lines, AM = BM = 3.2 cm and CM = DM = 2 cm
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Which statement describes the end behavior of this function?
f(x) = log(x − 2)
A.
As the value of x decreases, the value of f(x) moves toward positive infinity.
B.
As the value of x increases, the value of f(x) moves toward positive infinity.
C.
As the value of x increases, the value of f(x) moves toward negative infinity.
D.
As the value of x decreases, the value of f(x) moves toward a constant.
Answer:
B. As the value of x increases, the value of f(x) moves toward positive infinity.