there are 10 seats in an airport shuttle. how many ways can 6 people arrange themselves in the 10 seats?
Answers
There are 30,240 ways that 6 people can arrange themselves in the 10 seats of the airport shuttle.
The number of ways 6 people can arrange themselves in 10 seats can be calculated using permutation, as the order of arrangement matters.
The formula for permutation is given by:
nPr = n! / (n - r)!
Where n is the total number of items and r is the number of items to be selected or arranged.
In this case, n = 10 (number of seats) and r = 6 (number of people).
Plugging in these values into the permutation formula, we get:
10P6 = 10! / (10 - 6)! = 10! / 4! = 10 x 9 x 8 x 7 x 6 x 5 = 30,240
So, there are 30,240 ways that 6 people can arrange themselves in the 10 seats of the airport shuttle. Please note that this assumes that each person occupies exactly one seat and no two people can occupy the same seat simultaneously. If there are any additional constraints or conditions, the calculation may differ.
To learn more about permutation visit:https://brainly.com/question/30649574
#SPJ11
Related Questions
Solve each equation or inequality.
5 x-3 ║ 12-5 x
Answers
The equation \(5x-3 || 12-5x\)has one solution, which is \(x = 1.5\). To solve the equation \(5x-3 || 12-5x\) we need to eliminate the absolute value bars.
First,we will consider the expression inside the absolute value bars separately for two cases:
1. Case 1:\(5x-3 \geq 0\)
In this case, the absolute value expression simplifies to \(5x-3\). Therefore, we have \(5x-3 = 12-5x.\)
2. Case 2: \(5x-3 < 0\)
In this case, the absolute value expression simplifies to \(-(5x-3)\). Therefore, we have \(-(5x-3) = 12-5x\).
Now, let's solve each case:
1. Case 1: \(5x-3 = 12-5x\)
Combining like terms, we get 10x = 15. Dividing both sides by 10, we find x = 1.5.
2. Case 2: \(-(5x-3) = 12-5x\)
Expanding the absolute value expression, we get \(-5x+3 = 12-5x\). Simplifying further, we see that \(-5x + 3 = -5x + 12\). This equation does not have a solution.
To know more about solution visit:
https://brainly.com/question/33563697
#SPJ11
The equation |5x - 3| = 12 - 5x can be solved by considering two cases: 1) when 5x - 3 is non-negative, and 2) when 5x - 3 is negative. Solving each case separately, we find the solutions for the equation.
Case 1: When 5x - 3 is non-negative (5x - 3 ≥ 0), we have 5x - 3 = 12 - 5x. By solving this linear equation, we find x = 3.
Case 2: When 5x - 3 is negative (5x - 3 < 0), we have -(5x - 3) = 12 - 5x. By solving this linear equation, we find x = -1.
Therefore, the solutions to the equation |5x - 3| = 12 - 5x are x = 3 and x = -1.
In the first case, when 5x - 3 is non-negative, the absolute value |5x - 3| is equal to 5x - 3. By solving the resulting linear equation, we find the value of x.
In the second case, when 5x - 3 is negative, the absolute value |5x - 3| is equal to -(5x - 3), which simplifies to -5x + 3. By solving this linear equation, we find the value of x.
Overall, by considering both cases, we determine the complete set of solutions for the given equation.
Learn more about equation:
https://brainly.com/question/33622350
#SPJ11
please help me on this problem
Answers
Answer:
1/64 or 0.015625
Step-by-step explanation:
When one increases the confidence level (1-α), say from 0.90 to 0.95, what happens to the width of the confidence interval? a. It stays the same b. It becomes wider c. It becomes narrower
Answers
Step-by-step explanation:
A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.
NEED DONE ASAP WILL MARK BARINLIEST
Including both end zones, a football field is 4,320 inches long. What is this value expressed in scientific notation?
A
4.32×10−4
B
4.32×10−3
C
4.32×103
D
4.32×104
Answers
Answer:39.2 40.2 444.96
Step-by-step explanation:
how do you solve this?
Complete the table. Compare the values 2^h - 1 with the values of 2^h -1.
when are the values the same?
Answers
The values of \(2^h-1\) and \(2^{h-1}\) are the same when h = 1
Determining when the values are the sameFrom the question, we are to determine when the given values will be the same
The given values are
\(2^h-1\) and \(2^{h-1}\)
For \(2^h -1\)
When h = 1
\(2^h -1 \\=2^1 -1\)
= 2 - 1
= 1
When h = 2
\(2^h -1 \\=2^2 -1\)
= 4 - 1
= 3
When h = 3
\(2^h -1 \\=2^3 -1\)
= 8 - 1
= 7
When h = 4
\(2^h -1 \\=2^4 -1\)
= 16 - 1
= 15
When h = 5
\(2^h -1 \\=2^5-1\)
= 2 - 1
= 1
For \(2^{h -1}\)
When h = 1
\(2^h -1 \\=2^{1 -1}\)
= \(2^0\)
= 1
When h = 2
\(2^{h -1} \\=2^{2 -1}\)
= \(2^1\)
= 2
When h = 3
\(2^{h -1} \\=2^{3 -1}\)
= \(2^2\)
= 4
When h = 4
\(2^{h -1} \\=2^{4 -1}\)
= \(2^3\)
= 8
When h = 5
\(2^{h -1} \\=2^{5-1}\)
= \(2^4\)
= 16
Hence, the values are the same when h = 1
Learn more on Equal values here: https://brainly.com/question/11388301
#SPJ1
f f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answers
Answer:2/3
Step-by-step explanation:
Steps in pic below
Beginning at 12:00 midnight, a computer center is up for one hour and then down for two hours on a regular cycle. A person who is unaware of this schedule dials the center at a random time between 12:00 midnight and 5:00 A.M. What is the probability that the center is up when the person’s call comes in?
Answers
The probability that the center is up when the person’s call comes in is 2/5
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Let us consider a random variable Y it presents the number of person’s call comes when center is up. Beginning at 12:00 midnight, a computer center is up for 1 hour and then down for 2 hours on a regular cycle.
We need to find the probability that the center is up when the person’s call comes in.
Let 12:00 midnight be ‘a = 0’, then we will have ‘b = 5’, therefore f(y) = 1/5
For beginning of a = 0, the computer is up for 1 hour, so P(0<Y<1)
The computer is down for 2 hours and then up for another one hour, so P(3<Y<4)
Hence,
The probability that the center is up when the person’s call comes in is given by:
P(0<Y<1) + P(3<Y<4) = ∫f(y) dy + ∫f(y) dy
= (1/5)y + (1/5)y
= (1/5)((1-0)+(4-3))
= 2/5
Therefore, The probability that the center is up when the person’s call comes in is 2/5
To learn more about Probability from the given link
https://brainly.com/question/24756209
#SPJ4
Please answer this math question please and fast
Answers
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
An electronic roller makes 960 turns in 20 seconds
(a) How many turns does it make in 1 second
(b) How many turns does it make in 1 minute
Answers
48 turns a second, and 2,880 turns a minute.
thx in advance for the help
Answers
Answer: \(x\geq 13\)
Step-by-step explanation:
Given
The inequality is \(2x-7\geq 19\)
adding both side 7
\(2x-7+7\geq 19+7\\2x\geq 26\)
Multiply both sides by \(\frac{1}{2}\)
\(\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13\)
the shaded region in the figure indicates the solution set.
Simplify (4y+6)-(3y-5)
Answers
Answer:
y+1
Step-by-step explanation:
4y-3y+6-5
just help.................................thanks
Answers
Answer:
137 i think
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
\(A^{2}\)+\(B^{2}\)=\(C^{2}\)
7\(6^{2}\) + 5\(7^{2}\)= \(C^{2}\)
3249+5776 = 9025
\(\sqrt[]{9025}\) = 95
What is the y- intercept of the fun tion described in the table?
Answers
for the y intercept the equation is of the form y = mx + b, where m = slope and b = y intercept, then
\(m=\frac{y2-y1}{x2-x1}=\frac{6-8}{2-1}=\frac{-2}{1}=-2\)so, b is
\(\begin{gathered} 8=-2(1)+b \\ 8=-2+b \\ 8+2=-2+b+2 \\ b=10 \end{gathered}\)answer: y intercept is 10
Help me on number 24 plss
Answers
We can use graphs to find the rate of chabge by comparing. From using only the beginning and ending of the data, we would be finding the average rate of change over the specified period of time.
I think yes, my answers are reasonable.
I hope this helps :)
3. For g(x)=5 and h(x)=2x, find lim (g(x)*h(x))
4. Find G(x)= X-10 And H(x)= 2x, Find ) G(x) = X-10 H(x) = 2x, Lim Lim C-3 C-2 2
Answers
Answer:
3. B 10a
4. D 3
Step-by-step explanation:
the value of function lim (g(x)*h(x)) will be 10 a.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, For g(x)=5 and h(x)=2x
\(\lim_{x \to \ a }(g(x)*h(x))\)
=> lim (5 * 2x)
=> lim 10x
=> 10a
for G(x)= X-10 And H(x)= 2x,
g(x)/ h(x) = (x - 10)/2x
\(\lim_{x \to \ -2} g(x)/ h(x)\)
=> (-2- 10)/-4
=> 3
therefore, the value of function lim (g(x)*h(x)) will be 10 a.
Learn more about function here:
https://brainly.com/question/21145944
#SPJ2
1. One more than three times a number is 7,
in number equations
Answers
Answer:
The answer is 2
Step-by-step explanation:
2x3=6 +1 =7
Answer:
answer is : 2
Step-by-step explanation:
2x3=6+1=7
You wish to test the following claim (H_a) at a significance level of alpha = 0.05. H_0: p = 0.14 H_a: p ≠ 0.14 You obtain a sample of size n = 585 in which there are 55 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... a. less than (or equal to) alpha b. greater than alpha This test statistic leads to a decision to... a. reject the null b. accept the null c. fail to reject the null As such, the final conclusion is that.. a. There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14. b. There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14. c. The sample data support the claim that the population proportion is not equal to 0.14. d. There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.14.
Answers
a)1.597
b)0.1101
c)The population proportion is not equal to 0.14
The test statistic for this sample is 1.597. The corresponding p-value is 0.1101. The p-value is greater than alpha, so the decision is to fail to reject the null. As such, the final conclusion is that there is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.14. This conclusion is based on the Binomial Distribution and Statistic, which use the p-value to assess the evidence against the null hypothesis.
Learn more about p-value
brainly.com/question/30078820
#SPJ11
How is a constant term different than a variable for an expression that represents a real word situation
Answers
A constant does not change its value over time. A variable, on the other hand, changes its value dependent on the equation.
What is a tern!?A term is either a number, a variable, or the product of a number and a variable. A coefficient is your term's numerical factor. A constant term is one that only contains a number. In other words, a constant term contains no variables.
Constants are algebraic expression terms that only contain numbers. That is, they are the terms that do not have variables. We call them constants because their value never changes because the term contains no variables that can change its value.
Learn more about variables on:
https://brainly.com/question/28248724
#SPJ1
HELP PLEASE, NO FILES OR LINKS PLEASE
Thomas is going to deposit $840 in an account that earns 7.5% interest compounded annually. His wife Sheril will deposit $1,250 in an account that earns 6.9% simple interest each year. They deposit the money on the same dayand make no additional deposits or withdrawals for the accounts. What statement is true concerning Thomas' and Sheril's account balance after 5 years?
a
Thomas' account will have about $475.32 less than Sheril's account.
b
Sheril's account will have about $475.32 less than Thomas' account.
c
Thomas' account will have about $431.25 less than Sheril's account.
d
Sheril's account will have about $431.25 less than Thomas' account.
Answers
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32
The total surface area of a cube is 294 cm".
Work out the volume of the cube.
i would really appreciate it thank you!! :)
Answers
Hey Buddy,
Answer:
343 cm³
Step-by-step explanation:
Total Surface Area of the cube = 294 cm²
Surface Area = 6a²
6a² = 294
a² = 49
a = square root of 49
= 7
Volume of a cube = a³
Thus, the volume of the cube = 7³
= 7*7*7
= 343 cubic centimeters
Hope it helps :)
A parallelogram has symmetry with respect to the line that _____.
Answers
Answer:
bisects it from opposite vertices
Step-by-step explanation:
A parallelogram has symmetry with respect to the line that bisects it from opposite vertices
(Excel Function)What excel function is used when deciding rejecting or failing to reject the null hypothesis?
Answers
The Excel function used when deciding to reject or fail to reject the null hypothesis is the T.TEST function.
This function is used to calculate the probability of obtaining the observed results or more extreme results, assuming that the null hypothesis is true. If the probability, also known as the p-value, is less than the significance level, typically 0.05, the null hypothesis is rejected, and it is concluded that there is sufficient evidence to support the alternative hypothesis.
Otherwise, if the p-value is greater than the significance level, the null hypothesis is not rejected, and it is concluded that there is not enough evidence to support the alternative hypothesis.
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than or equal to the level of significance (alpha) chosen for the test, typically 0.05 or 0.01, then the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the chosen alpha level, then the null hypothesis is not rejected.
To learn more about Excel, click here:
https://brainly.com/question/29784728
#SPJ11
If the midpoints of the sides of triangle EFG shown below were connected
with line segments, what would be the perimeter of the resulting triangle?
Answers
Answer:
Choice 1) 181.5 mm
Step-by-step explanation:
41.5+55+85 = 181.5
What is the volume of the following rectangular prism?
Answers
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
Learn more about prism here:
brainly.com/question/23946563
#SPJ6
determine whether the variable is qualitative or quantitative. explain your reasoning.
Answers
The variable "Gallons of water in a swimming pool" is a quantitative variable.
Quantitative variables are variables that are numerical and can be measured on a scale, such as height, weight, or time. In this case, the number of gallons of water in a swimming pool can be measured and can take any value within a range, such as 0 to 100,000 gallons. Therefore, "Gallons of water in a swimming pool" is a quantitative variable.
In contrast, qualitative variables are variables that describe an attribute or characteristic of a person, place, or thing, and they do not have a numerical value. Examples of qualitative variables include hair color, religious affiliation, or nationality.
"
Complete question
Determine whether the variable is qualitative or quantitative. explain your reasoning.
Variable: Gallons of water in a swimming pool
"
You can learn more about Quantitative variables at
https://brainly.com/question/14037311
#SPJ4
Find the quadratic function represented by the following graph.
Answers
Answer:
f(x) = (-3/4)x^2 + 3
Step-by-step explanation:
First, look at the vertex to see if it intersects the y-axis. It does, which is good, because it makes your job a lot easier by making your equation to fill out y = ax + b. Your b is the y value of your vertex, which in this case is 3. Then, your a is the amount you're multiplying plain old x^2 by to get your values (before adding 3). Because the graph is pointing down, you know right away that it's going to be negative. Also, going to the left or right by 2 (the points you are given) from the vertex gives you a result of going down 3. Normally this would mean you move up by 4 (again, from the vertex), so what do you need to multiply 4 by to get -3? -3/4, so that's your a. This makes your equation (y OR) f(x) = (-3/4)x^2 + 3
I hope I didn't make any mistakes reading your graph! I had a bit of difficulty with it unfortunately.
Most airlines will allow you to check one bag and have one carry-on bag. There is normally a maximum weight limit of 50 lb. per checked bag as well as a size restriction. Suppose Jane has a one bag and one carry-on bag with a total mass of 24 kg, will she be allowed to get in the airplane considering the weight limit? Support your answer with computation.
SHOW UR SOLUTION PO, THANK YOU!!!
Answers
Answer:
No.
Step-by-step explanation:
Max weight limit of 50lb
First convert to kg. 1lb is 0.453592kg
50 times 0.453592 = 22.6796kg
Since Janes total mass is 24 which exceeds this limit, she cannot be allowed on.
what is the correct choice for the second set for the dynamic resistance training method pyramiding if in the first set, the client lifts a weight for 10 to 12 repetitions of their 12-rm?
Answers
The correct choice for the second set in the pyramiding method of dynamic resistance training would typically be a weight that allows the client to perform fewer repetitions than in the first set, typically around 6 to 8 repetitions of their 12-RM weight.
In the pyramiding method, the goal is to gradually increase the weight lifted while decreasing the number of repetitions. This helps to progressively overload the muscles and stimulate strength gains. Starting with a weight that allows the client to perform 10 to 12 repetitions of their 12-RM weight in the first set ensures that they are working at an appropriate intensity to promote muscle adaptation.
For the second set, the weight should be increased to a level that challenges the client's muscles further. By reducing the number of repetitions to 6 to 8, the load becomes more challenging, leading to greater muscle recruitment and strength development. This gradual increase in intensity and decrease in repetitions can help to maximize the benefits of the training session.
It's important to note that the specific recommendations for sets, repetitions, and weights may vary depending on the individual's fitness level, goals, and training program. Working with a qualified fitness professional can help ensure that the pyramiding method is tailored to the client's needs and abilities for safe and effective training.
Learn more about probability here:
brainly.com/question/32117953
#SPJ11
The Department of Health plans to test the lead level in a public park. The park will be closed if the average lead level exceeds the allowed limit of 400 parts/million, otherwise, the park will be kept open. The department conducts the test using soil samples gathered at randomly selected locations in the park. You work for the Department of Health and your concern is for public safety and overall health of communities In this situation, would you make alpha or beta as low as possible and why? Beta. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels exceeded 400 parts/million, but it really didn't and the park was determined to be unsafe when it really wasn't. Alpha. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't. Beta. This type of error would be that when the test was conducted, it indicated that the lead levels didn't exceed 400 parts/million, but it really did and the park was left open when it really wasn't safe.
Answers
The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.
This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.
As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.
On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.
Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.
To learn more about Alpha visit:
https://brainly.com/question/14588341
#SPJ4
Discuss the downsizing process in your own words and provide an
example.
Answers
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
To know more about workforce, visit;
https://brainly.com/question/28843491
#SPJ11