There are 10 people waiting on standby at an airport to get on the next flight when 2 seats open up. One of the seats is in first class, and the other is in coach. What error is made in the work shown below to calculate the number of ways to choose the passengers to fill the seats
Step-by-step explanation:
As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.
When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:
n choose k = n! / (k! * (n-k)!)
where n is the total number of items in the group and k is the number of items to be chosen.
In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).
Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:
(1 choose 1) * (9 choose 1) = 1 * 9 = 9
Therefore, there are 9 ways to choose the passengers to fill the seats.
which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.
The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.
Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.
The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.
In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
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Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A: 1,2,9
Set B: 0,4,6,5
Answer:
wheres the picture?
Step-by-step explanation:
four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
A fencing compony charges $22 per foot to install
a wood fence. How much will it cost to install a
wood fence around a rectangular pool area that is
20 feet wide and 38 feet long?
a)
А
3.6 cm
3.2 cm
B В
С
4.5 cm
How many different three-digit numbers can be written using digits from the set 2, 3, 4, 5, 6 without any repeating digits? A. 10 B. 120 C. 20 D. 60
Calculate Nash equilibrium output for a single Cournot firm with the following characteristics: P=400−2Q TC=40q
i
90 60 45.5 180 Calculate the reaction function (best response function) for a Cournot firm with the following characteristics: P=400−2Q RC=40q
i
q
i
=45 q
j
=60 q
i
=90−1/2q
j
qi=90−1/4q
j
The Nash equilibrium output for a single Cournot firm with the following characteristics: P=400−2Q TC=40q_i is 45.
The reaction function for a Cournot firm with the following characteristics: P=400−2Q RC=40q_i is qi=90−1/4q_j.
The Nash equilibrium output for a Cournot firm is the output level that maximizes the firm's profit given the output level of the other firm. In this case, the firm's profit is maximized when it produces 45 units of output.
The reaction function for a Cournot firm is the output level that the firm produces as a function of the output level of the other firm. In this case, the firm produces 90 - 1/4 * q_j units of output, where q_j is the output level of the other firm.
Here is a more detailed explanation of the calculation of the Nash equilibrium output:
The firm's profit is calculated as follows:
Profit = (Price * Output) - (Total Cost)
In this case, the price is 400 - 2Q, the output is q_i, and the total cost is 40q_i.
To maximize the firm's profit, we can differentiate the profit function with respect to q_i and set the derivative equal to zero.
dProfit/dq_i = (400 - 2Q) - 80 = 0
Solving for q_i, we get q_i = 45.
Here is a more detailed explanation of the calculation of the reaction function:
The reaction function is calculated by setting the firm's profit equal to zero and solving for q_i.
Profit = (Price * Output) - (Total Cost) = 0
(400 - 2Q) - 40q_i = 0
Solving for q_i, we get q_i = 90 - 1/4 * q_j.
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Please help!!!! Find the measure of the arc mEFD=
Answer:
m(arc EFD) = 270°
Step-by-step explanation:
m(arc EFD) = m(arc EF) + m(arc FD)
Since, m(arc EF) = Angle subtended by the arc EF at the center
= 146°
m(arc DE) = 90°
And sum of all the angles subtended by the arcs at the center = 360°
m(arc EF) + m(arc FD) + m(arc DE) = 360°
146° + m(arc FD) + 90° = 360°
m(arc FD) = 360° - 236°
m(arc FD) = 124°
Therefore, m(arc EFD) = m(arc EF) + m(arc FD)
= 146 + 124
= 270°
Answer:
270°
Step-by-step explanation:
In 2014 the number of days the average employee at Philadelphia hospital is late for work is 12 days. The hospital has built a new parking garage, but it is two blocks away. They want to determine if this is increasing the number of days employees are late. From the sample of employees below, can you prove their claim using a .05 significance level? Make the decision regarding H0 (Use the z or t value of 2.18) Sample Data: [5_6_7_9_8_6_10_8_6_4_6_8]
Based on the given sample data and a significance level of 0.05, the calculated t-value of 2.18 does not exceed the critical t- value of 2.201. Therefore, we fail to reject the null hypothesis and cannot prove that the new parking garage is increasing the number of days employees are late.
To determine if the new parking garage is increasing the number of days employees are late, we can perform a hypothesis test. Let's set up the hypotheses:
H 0: The new parking garage does not increase the number of days employees are late.
H 1: The new parking garage increases the number of days employees are late.
We will use a significance level of 0.05.
Given the sample data: [5, 6, 7, 9, 8, 6, 10, 8, 6, 4, 6, 8]
Calculate the sample mean:
Sample mean (X) = (5 +6 +7+ 9+ 8+ 6+ 10+ 8+ 6+ 4+ 6+ 8) / 12 = 7
Calculate the sample standard deviation (s) using the formula:
s = √[ Σ(X - x)² / (n-1) ]
Where Σ denotes the sum, x is each individual data point, X is the sample mean, and n is the sample size.
s ≈ 1.83
Calculate the test statistic (t-value) using the formula:
t = (x - μ) / (s / √n)
Where μ is the hypothesized mean under the null hypothesis.
Given t = 2.18
Compare the absolute value of the calculated t-value with the critical value from the t - distribution table (with n-1 degrees of freedom) at a significance level of 0.05.
The critical t- value for a two-tailed test with a significance level of 0.05 and 11 degrees of freedom is approximately ± 2.201.
Since the absolute value of the calculated t- value (2.18) is less than the critical t-value (2.201), we fail to reject the null hypothesis (H 0). This means there is not enough evidence to prove that the new parking garage increases the number of days employees are late.
Therefore, based on the given data and a significance level of 0.05, we do not have enough evidence to support the claim that the new parking garage is increasing the number of days employees are late.
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Hello its my birthday does anyone know how to do this ?:D
Answer:2
Step-by-step explanation:
Tony bought a computer. He paid $450.00 plus sales tax. The sales tax
was 6%. How much did he pay in sales tax?
Answer:
$27
Step-by-step explanation:
We have to find 6% of $450. We can make an expression and solve it:
6/100•450
We can cancel out factors now:
3/50•450
Now we'll cancel out 50 and 450:
3x9=$27
And that's your answer! Hope this helps =)
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
\(amount = principal(1 + (r \n))^({n}{t})\)
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
Please answer, I have no idea what i'm doing.
Answer:
it dont show the pic
Step-by-step explanation:
Answer:
4. x is less than or equal to 11
5. x is more than 10.5
6. x is more than or equal to 6
Step-by-step explanation:
Hope this helps!
Lynne saves $45 each week. She
now has $180. She plans to save for
a trip to Puerto Rico. Write and
solve and equation to find how
many
weeks w she will take to save
$900.
Answer:
180+45w=900. w= 16
Step-by-step explanation:
we start with 180 already saved. so 900-180 is 720. And 720÷45 is 16. Therefore it will take 16 weeks to save all 900 dollars.
Answer:
45+180=225x4=900
Step-by-step explanation:
So 1st u wanna add 45+180=225 then multiply 225x4=900
c) passing through the points (4, -5) and (-2, 9).
Answer:
Step-by-step explanation:
you can use slope intercept form y=mx+b
An outdoor spigot at the school has a leak and is dripping water. A student counted eighty drops of water in five minutes and noticed that sixty drops of water filled a container to a level of ten milliliters. If the spigot is not fixed and this dripping rate continues, how many liters of water will be wasted in four weeks? Round the answer to the nearest liter.
Answer:
108 liters
Step-by-step explanation:
Given that:
80 drops are there in 5 minutes.
Time to be considered is 4 weeks.
Let us find number drops in 4 weeks.
Number of drops in 5 minutes = 80
Number of drops in 1 minute = \(\frac{80}{5}\)
Number of drops in 60 minutes = \(\frac{80}{5}\) \(\times 60\)
Number of drops in 24 hours (60 \(\times\) 24 minutes) = \(\frac{80}{5}\) \(\times 60\) \(\times 24\)
Number of drops in 28 days (28 \(\times\)24 hours OR 60 \(\times\) 24 \(\times\)28 minutes) = \(\frac{80}{5}\) \(\times 60\) \(\times 24\)\(\times\)28 = 645120
Now, we are given that 60 drops = 10 mL
1 drop = \(\frac{10}{60}\) mL
645120 drops = \(\frac{10}{60} \times 645120\) = 107520 mL
We know that 1000 mL = 1 Liter
1 mL = \(\frac{1}{1000}\) Liter
107520 mL = \(\frac{1}{1000} \times 107520\ L \approx 108\ L\)
So, the answer is 108 Liter.
What is the equivalent expression for 8w - 16?
Answer:
8(w-2)
this is equivlent
The equivalent expression for (8w - 16) = 8(w - 2)
What is an Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given an Expression = (8w - 16)
(8w - 16) = 8(w - 2)
Hence, the equivalent expression for (8w - 16) = 8(w - 2)
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Joan has a credit limit of $900. Her new balance is $450. What is Joan's available credit?
Hi!
Let's write this out.
Her limit is $900, and she's used $450. So, we subtract 450 from 900.
900-450 = 450.
So, she has $450 available credit left.
Hope this helps!
~~~PicklePoppers~~~
Answer: your credit utilization ratio on that card would be 50% but the answer is 450
Step-by-step explanation:
900-450 = 450
a management dilemma defines the research question. (True or False)
Answer:
False
Step-by-step explanation:
An equation is shown.
3x+4/5=7-2x
What is the solution to the equation
x= ?
Answer:
1.24
Step-by-step explanation:
start by multiplying each term by the LCM which is 5
then you ahead and simply the equation
Let A = {a, b, c, d} and R = {(a, a), (a, c), (b, d), (c, a), (c, c), (d, b)} be a relation on A. For each of the five properties of a relation studied (re exive, irre exive, symmetric, antisymmetric, and transitive), show either R satisfies the property or explain why it does not.
For relation R = {(a, a), (a, c), (b, d), (c, a), (c, c), (d, b)} - R is not reflexive.
- R is not irreflexive.- R is symmetric.- R is not antisymmetric.
- R is transitive.
Let's analyze each of the properties of a relation for the given relation R on set A = {a, b, c, d}:
1. Reflexive:
A relation R is reflexive if every element of the set A is related to itself. In other words, for every element x in A, the pair (x, x) should be in R.
For R = {(a, a), (a, c), (b, d), (c, a), (c, c), (d, b)}, we can see that (a, a), (c, c), and (d, d) are present in R, which means R is reflexive for the elements a, c, and d. However, (b, b) is not present in R. Therefore, R is not reflexive.
2. Irreflexive:
A relation R is irreflexive if no element of the set A is related to itself. In other words, for every element x in A, the pair (x, x) should not be in R.
Since (a, a), (c, c), and (d, d) are present in R, it is clear that R is not irreflexive. Therefore, R does not satisfy the property of being irreflexive.
3. Symmetric:
A relation R is symmetric if for every pair (x, y) in R, the pair (y, x) is also in R.
In R = {(a, a), (a, c), (b, d), (c, a), (c, c), (d, b)}, we can see that (a, c) is present in R, but (c, a) is also present. Similarly, (d, b) is present, but (b, d) is also present. Therefore, R is symmetric.
4. Antisymmetric:
A relation R is antisymmetric if for every pair (x, y) in R, where x is not equal to y, if (x, y) is in R, then (y, x) is not in R.
In R = {(a, a), (a, c), (b, d), (c, a), (c, c), (d, b)}, we can see that (a, c) is present, but (c, a) is also present. Since a ≠ c, this violates the antisymmetric property. Hence, R is not antisymmetric.
5. Transitive:
A relation R is transitive if for every three elements x, y, and z in A, if (x, y) is in R and (y, z) is in R, then (x, z) must also be in R.
Let's check for transitivity in R:
- (a, a) is present, but there are no other pairs involving a, so it satisfies the transitive property.
- (a, c) is present, and (c, a) is present, but (a, a) is also present, so it satisfies the transitive property.
- (b, d) is present, and (d, b) is present, but there are no other pairs involving b or d, so it satisfies the transitive property.
- (c, a) is present, and (a, a) is present, but (c, c) is also present, so it satisfies the transitive property.
- (c, c) is present, and (c, c) is present, so it satisfies the transitive property.
- (d, b) is present, and (b, d) is present, but (d, d) is also
present, so it satisfies the transitive property.
Since all pairs in R satisfy the transitive property, R is transitive.
In summary:
- R is not reflexive.
- R is not irreflexive.
- R is symmetric.
- R is not antisymmetric.
- R is transitive.
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What is 2,440 divided by 8 can you show your work please?
Answer: \(305\)
Shown work is on the image below.
1/(x+2)+1/(x+3)=2/x+9
Answer:
4x82x929wjdjdejdjekke
\( \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54\)
Hope it helps
Please give brainliest
You need school supplies. You go to the store and see that there are 6 different backpacks, 8 notebooks, 3 packets of pens, and 8 folders to choose from. You decide to go to another store to see their selection. The second store had a third of the backpacks, half the notebooks, and triple the number of pens. How many folders would the new store need to have in order for there to be the same number of combinations of items to choose from in the second store than in the first store?
Consider this expression. - 4 x 2 + 2 x − 5 ( 1 + x ) What expression is equivalent to the given expression? x 2 + x +
The expression equivalent to\(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)
This expression matches the form \(x^2 + x + c,\) where c = 5.
To simplify the given expression \(-4x^2 + 2x - 5(1 + x)\) and make it equivalent to the expression \(x^2 + x + c,\) where c is a constant term, we need to perform some algebraic operations.
First, let's distribute the -5 to the terms inside the parentheses:
\(-4x^2 + 2x - 5 - 5x\)
Next, we can combine like terms:
\(-4x^2 + (2x - 5x) - 5 - 5x\)
Simplifying further:
\(-4x^2 - 3x - 5 - 5x\)
Now, let's rearrange the terms to match the form \(x^2 + x + c:\)
\(-4x^2 - 3x - 5x - 5\)
To make the leading coefficient positive, we can multiply the entire expression by -1:
\(4x^2 + 3x + 5x + 5\)
Now, we can combine the x-terms:
\(4x^2 + 8x + 5\)
So, the expression equivalent to \(-4x^2 + 2x - 5(1 + x)\) is \(4x^2 + 8x + 5.\)This expression matches the form \(x^2 + x + c,\) where c = 5.
It's important to note that the original expression and the equivalent expression have different coefficients and constants, but they represent the same mathematical relationship.
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i need help its due in 1 hour (ALL MY POINTS)
Answer:
Area : 27.5
Perimeter : 20
Step-by-step explanation:
All sides of a regular pentagon have the same length
1 side = 4
4x5 = 20 = Perimeter
Pentagon area formula :
1/4(sqrt(5(5+2sqrt(5)))x)
Plug x in (side length)
27.53
round to nearest tenth
27.5
true or false considering multiple regression which uses a sample of 36 observations now we use a given accent fitted why to construct the corresponding 95% approximate prediction interval for individual why then the width of this prediction interval is not affected by the value of the mean square are of the regression
True the width of this prediction interval is not affected by the value of the mean square are of the regression
Why the width of this prediction interval is not affected by the value of the mean square because there are two sorts of uncertainty in the forecast when using a linear regression.
The forecast of the estimate's overall mean comes first (ie the center of the fit). The second is the degree of estimation uncertainty while determining the slope.
There is therefore a spread between the high and low estimations when the prediction's two uncertainties are added together. The limitations then become wider as one moves further away from the center, as the slope's uncertainty becomes a significant and obvious influence.
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Complete the question. Show your work and answer on the page. Find the sum. Write your answer in scientific notation
The given expression is :
\((7.2\times10^{-6})+(5.44\times10^{-6})\)The multilpy are same So, we take the 10^(-6) Common
\(\begin{gathered} (7.2\times10^{-6})+(5.44\times10^{-6}) \\ (7.2\times10^{-6})+(5.44\times10^{-6})=10^{-6}(7.2+5.44) \\ (7.2\times10^{-6})+(5.44\times10^{-6})=10^{-6}(12.64) \\ (7.2\times10^{-6})+(5.44\times10^{-6})=12.64\times10^{-6} \end{gathered}\)Answer:
\((7.2\times10^{-6})+(5.44\times10^{-6})=12.64\times10^{-6}\)
Plez help me!
Write an equation for the line in the given form.
slope is −5 and (9, 4) is on the line; standard form
Answer:
you got this
Step-by-step explanation: