On average, 145 trips were made from Lima to each of the four cities in the north of the country during the month of February.
To find the average number of trips made between these four cities, we simply divide the total number of trips by the number of cities:
Average number of trips = 580 trips / 4 cities = 145 trips per city.
As for the probability of a person making a trip from Lima to Chimbote in the following month, it is impossible to calculate without additional information. The probability would depend on a variety of factors such as the availability of transportation, the demand for travel, and any external events that may affect travel plans.
It is important to note that past data, such as the number of trips made in February, may not necessarily reflect future trends. It is always best to consult the most up-to-date information when making travel plans.
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What is the best definition for parabola?
Answer: curve shape of something
Step-by-step explanation:
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.......
A parabola is a curve where any point is at an equal distance from: a fixed point (the focus), and. a fixed straight line (the directrix)
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Simon makes 30 cakes.
He gives of the cakes to Sali.
He gives 10% of the 30 cakes to Jane.
What fraction of the 30 cakes does he have left?
The fraction of the 30 cakes does Simon have left with os 7/10
What is fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, Simon makes 30 cakes, he gives 1/5 of the cakes to Sali, he gives 10% of the 30 cakes to Jane,
We need to find, what fraction of the 30 cakes does Simon have left,
Number of cakes given to Sali = 1/5 of 30
= 30 / 5 = 6
That mean, Sali got 6 cakes out of 30.
Number of cakes given to Jane = 10% of 30
= 30 × 10/100
= 300 / 100
= 3
That mean, Jane got 3 cakes, out of 30.
The remaining number of cake = 30 - (6+3)
= 30 - 9
= 21
Therefore, the fraction of cakes left = 21 / 30
= 7/10
Hence, the fraction of the 30 cakes does Simon have left with os 7/10
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~.❤~Please Answer~❤.~
Answer:
True
hope it helps!
Step-by-step explanation:
Ohm's law for electrical circuits like the one shown in the figure states that V=RI. In this equation, V is a constant voltage, I is the current in amperes, and R is the resistance in ohms. Your firm has been asked to supply the resistors for a circuit in which V will be 120 volts and I is to be 10±0.5 amp. In what interval does R have to lie for I to be within 0.5 amp of the value l = 10? To what interval must R be held to meet the requirements for the resistance? ohms (Type your answer in interval notation. Round the left endpoint up and the right endpoint down to the nearest hundredth as needed.)
Interval must R be held to meet the requirements for the resistance is [11.5, 12.5] ohms
The interval in which R must lie for the current I to be within 0.5 amp of the value 10, we can use Ohm's law:
V = RI
Rearranging the equation, we have:
R = V/I
Substituting the given values V = 120 volts and I = 10±0.5 amp, we get:
R = 120/10 = 12 ohms
The resistance R must be held within a range of 12 ± 0.5 ohms to meet the requirements for the current.
Expressed in interval notation, this can be written as:
[11.5, 12.5] ohms
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a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
\((x/4)^{2}\) and \((y/4)^{2}\)
Therefore, the sum of areas of two squares will be A = \((x/4)^{2}\) + \((y/4)^{2}\)
A = \(x^{2}\)/16 + \(y^{2}\)/16
A = \(x^{2}\)/16 + \((38-x)^{2}\)/16
By differentiating, we will get
A' = \(\frac{2x}{16}\) - \(\frac{2(38-x)}{16}\)
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
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What is the volume?
7 yd
10 yd
6 yd
Answer:
210 yd³
Step-by-step explanation:
Volume of a triangular prism
= the area of a triangular base × the height
The area of the base
= (10×7)÷2
= 35 yd²
The volume of the prism
= 35 × 6
= 210 yd³
if henry's home has a market value of $145,000 and the assessment rate is 35 percent, what is its assessed valuation? $24,225 $36,250 $50,750 $65,250
Answer: $50,750
Step-by-step explanation: To get the percentage of a number, you need to turn the percent into a decimal, then multiply it with the number you need the percentage of. 35% translates into 0.35. Then you would multiply 145,000 by 0.35, getting 50,750 as your answer!
One month Ivan rented 8 movies and 3 video games for a total of $43. The next month he rented 2 movies and 5 video games for a total of $32. Find the rental cost for each movie and each video game.
Given
Let's represent movies with M
Let's represent video with V
\(\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ 2m+5v=32\ldots\text{Equation 2} \end{gathered}\)Solution
Using substitution method
I will solve your system by substitution.
\(\begin{gathered} 8m+3v=43\ldots\text{Equation 1} \\ \text{Make M the subject of the formula} \\ 8m=43-3v \\ \text{Divide both sides by 8} \\ m=\frac{43-3v}{8}\ldots\text{Equation 3} \end{gathered}\)Substitute for m in Equation 2
\(\begin{gathered} 2(\frac{43-3v}{8})+5v=32 \\ \\ \frac{43-3v}{4}+5v=32 \\ \end{gathered}\)To clear the fraction multiply all through by 4
\(\begin{gathered} \frac{43-3v}{4}\times4+5v\times4=32\times4 \\ \\ \\ 43-3v+20v=128 \end{gathered}\)Separate the similar term
\(\begin{gathered} -3v+20v=128-43 \\ 17v=85 \\ \text{Divide both sides by 17} \\ \frac{17v}{17}=\frac{85}{17} \\ \\ v=5 \end{gathered}\)Substitute for v =5 in equation 3
\(\begin{gathered} m=\frac{43-3v}{8}\ldots\text{Equation 3} \\ m=\frac{43-3(5)}{8} \\ m=\frac{43-15}{8} \\ \\ m=\frac{28}{8} \\ \\ m=\frac{7}{2}=3.5 \end{gathered}\)The rental cost for each movie
\(m=\text{ \$}3.50\)The rental cost for each video game.
\(v=\text{ \$5}\)how do I put 2.1*10.5 in scientific notation
Answer:
22.05
Step-by-step explanation:
Find the value of x.
5
4
3
12
X
a. 24
b. 36
c. 40
d. 45
By the 1/3 ratio, the value of x for the given figure is 33 units.
What is ratio?A ratio is an ordered pair of integers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other. For example, if there is one boy and three girls, the ratio may be written as: 1: 3 (for every one boy, there are three girls). A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Here,
4/12=3/x1=5/x2
1/3=3/x1
x1=9 units
1/3=5/x2
x2=15 units
12+15+9=33 units
The value of x for the given figure is 33 units by the ratio of 1/3.
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Consider the system of equations shown below. y = negative 5 x + 1. y = negative 5 x + 10 When graphed, the system consists of two lines that will never meet, no matter how far they are extended. Why are the lines parallel? The linear equations have the same slope and y-intercept. The linear equations have different slopes and y-intercepts. The linear equations have the same slope but different y-intercepts. The linear equations have different slopes but the same y-intercept.
The reason why both graphs are parallel because they have the same slope but different y-intercept.
Think about it. If both graphs have same slope and same y-intercept. The graph will intercept each others infinitely.
Then if we change the y-intercept into any numbers that aren't the same as another equations for ex.
y = -5x+1 and y = -5x+10
then we will get the parallel graph. Or if you solve the equation, the equation will not be true, thus giving the graph parallel.
But if it is y = -5x+1 and y = -5x+1 which both are the same graph. Then the graph will intercept each others infinitely. Or if we solve the equation, we will get 0 = 0 which makes the equation true for all real numbers.
Therefore, the reason why both graphs are parallel is because that they have the same slope but different y-intercept.
That's all.
Answer:
c
Step-by-step explanation:
Solve for x in the given equation: 1/5 x = 2/5 What would be the inverse operation you would use to solve for x?
The_______ is used as the denominator in the equation for the z value in a one-sample Z-test.
The standard error of the mean (SEM) is used as the denominator in the
equation for the z-value in a one-sample Z-test.
The formula for the one-sample Z-test is:
z = (sample mean - population mean) / (SEM)
The standard error of the mean (SEM) is used as the denominator in the
equation for the z-value in a one-sample Z-test.
The SEM represents the standard deviation of the sampling distribution of
the mean, which is the distribution of sample means if repeated samples
were taken from the same population. The SEM quantifies the amount of
error that can be expected in the sample mean due to random sampling
variability, and is calculated by dividing the population standard deviation
by the square root of the sample size.
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The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight has 76 passengers (12 in first class and 64 in coach). TSA officers selected an SRS of 10 passengers for screening. Let p-hat be the proportion of first class passengers in this sample. So, assuming that you are checking for the probability of choosing a first class passenger out of all passengers on the flight. Is the 10% condition met in this case? Justify your answer. (POS 447#31)
- Yes, 10 passengers out of 76 is less than 10% of the population of the flight.
- yes, 10 passengers out of all passengers on all flights is less than 10% of the population
- No, 10 passengers is the population being studied and is not less than 10% of the 10 total
- No, 10 passengers out of 76 is more than 10% of the population of the flight.
-17>6x+7
Solve the inequality for x
Answer:
x < -4
Step-by-step explanation:
-17>6x + 7
Switch it to: 6x + 7 <-17
6x + 7 < -17
Now, Subtract the opposite of 7 by both sides.
6x = -24
Divide both sides by 6
Answer : x < -4
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that can be formed if the number of boys is more than the number of girls
Answer:
281 different committees can be formed if the number of boys is more than the number of girls.
Step-by-step explanation:
The order in which the people are chosen to the committee is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Number of boys more than the number of girls:
3, 4 or 5 boys.
3 boys:
3 boys from a set of 6.
2 girls from a set of 5. So
\(C_{6,3}C_{5,2} = \frac{6!}{3!3!} \times \frac{5!}{2!3!} = 200\)
4 boys:
4 boys from a set of 6.
1 girl from a set of 5. So
\(C_{6,4}C_{5,1} = \frac{6!}{4!2!} \times \frac{5!}{1!4!} = 75\)
5 boys:
5 boys from a set of 6. So
\(C_{6,5} = \frac{6!}{5!1!} = 6\)
Total:
200 + 75 + 6 = 281
281 different committees can be formed if the number of boys is more than the number of girls.
If you flip the coin 96 times,how many heads?
If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.
There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.
Hope that helped!
someone pls help me answer this question!!!! look through the directions and give a thorough explanation. thank you!
The sailboat and the medical aid should meet at the points
(0, 7) and (5, 12).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
The intersection point between the two graphs y = - x² + 6x + 7 and y = x + 7 is the point where they meet each other.
Now, For the equation y = - x² + 6x + 7,
When x = 0, y = 7 ⇒ (0, 7).
when x = 1, y = 12 ⇒ (1, 12).
Now for y = x + 7,
when x = 1, y = 8 ⇒ (1, 8).
when x = 2, y =9 ⇒ (2, 9).
Now by taking the graph paper with each box of 1 square unit will plot these points and we obtain that at (0, 7) and (5, 12) these graphs intersect each other.
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Question NEEDS ANSWERING
Evaluate. (−13+0.6(−12)+1)2 What is the value of the expression? Enter your answer as a simplified fraction in the box.
The numeric value of the given expression is as follows:
121/900.
Numeric value of expressionThe expression is defined as follows:
\(\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2\)
The parenthesis take precedence. If there are more than one parenthesis, the inside one takes precedence.
The fraction equivalent of 0.6 is of 3/5, hence:
\(\left(-\frac{1}{3} + \frac{3}{5}\left(-\frac{1}{2}\right) + 1\right)^2\)
Solving the internal parenthesis, the expression is:
\(\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2\)
The least common multiple of 3, 10 and 1 is of 30, hence:
\(\left(-\frac{1}{3} - \frac{3}{10} + 1\right)^2 = \left(\frac{-10 - 9 + 30}{30}\right)^2 = \left(\frac{11}{30}\right)^2\)
To find the square of the fraction, we find the square of the numerator and the denominator, hence the numeric value of the expression is:
121/900.
Missing informationThe expression is:
\(\left(-\frac{1}{3} + 0.6\left(-\frac{1}{2}\right) + 1\right)^2\)
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please help me , thank you
Hello BinibiningDel!
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Factorise the polynomials.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }\)
Method used :-
Use the algebraic identity ⇨ a² - b² = (a + b) (a - b ).Here, a = x & b = 7.__________________
\( \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }\)
Method used :-
Use the algebraic identity ⇨ a² + 2ab + b² = (a + b)².Here, a = a & b = 5.__________________
\( \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}\)
Method used :-
Use the splitting the middle term method to factorise this.__________________
\( \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}\)
Method used :-
Use the algebraic identity ⇨ a² - b² = (a + b) (a - b ).Here, a = 2x & b = y.__________________
\( \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }\)
Method used :-
Take the common factor out & factorise it.__________________
\( \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }\)
Method used :-
Use the splitting the middle term method to factorise this.__________________
\( \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }\)
Method used :-
Use the algebraic identity ⇨ a³ + b³ = (a + b) (a² - ab + b²).Here, a = y & b = 3.__________________
\( \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }\)
Method used :-
Take the common factor out & factorise it.__________________
Hope it'll help you!
ℓu¢αzz ッ
Maureen is making a 3/10 scale drawing of a doll house if a line on the drawing represents 15 inches how long should the line be ?
We have the following ratio scale:
\(\frac{\text{REAL}}{\text{DRAWING}}=\frac{10}{3}\)If we move the DRAWING term to the rght hand side, we get
\(\text{REAL}=\frac{10}{3}\cdot\text{DRAWING}\)In our case, the line is 15 inches long, then we have
\(\text{REAL}=\frac{10}{3}\cdot(15\text{inches)}\)which gives
\(\begin{gathered} \text{REAL}=\frac{10\times15}{3}\text{ inches} \\ \text{REAL}=10\times5\text{ inches} \\ \text{REAL}=50\text{ inches} \end{gathered}\)Therefore, the answer is 50 inches.
Kground
Clear frame
2 Kyle spends a total of $44 for four sweatshirts. Each sweatshirt costs the same
amount of money.
Which bar model could be used to show this situation?
The answer is , to represent this situation in a bar model, we can use a Clear frame model.
To show the situation where Kyle spends a total of $44 for four sweatshirts, with each sweatshirt costing the same amount of money, the bar model that can be used is a Clear frame model.
Here's an explanation of the solution:
Given, that Kyle spends a total of $44 for four sweatshirts and each sweatshirt costs the same amount of money.
To find how much each sweatshirt costs, divide the total amount spent by the number of sweatshirts.
So, the amount that each sweatshirt costs is:
\(\frac{44}{4}\) = $11
Thus, each sweatshirt costs $11.
To represent this situation in a bar model, we can use a Clear frame model.
A Clear frame model is a bar model in which the total is shown in a separate section or box, and the bars are used to represent the parts of the whole.
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Zaboca Printing Limited (ZPL) has only one working printer. Eight (8) customers submitted their orders today Monday 6th June 2022. The schedule of delivery of these orders are as follows:
Jobs (in order of arrival) Processing Time (Days) Date Due
A 4 Monday 13th June 2022
B 10 Monday 20th June 2022
C 7 Friday 17th June 2022
D 2 Friday 10th June 2022
E 5 Wednesday 15th June 2022
F 3 Tuesday 14th June 2022
G 8 Thursday 16th June 2022
H 9 Saturday 18th June 2022
All jobs require the use of the only printer available; You must decide on the processing sequence for the eight (8) orders. The evaluation criterion is minimum flow time.
i. FCFS
ii. SOT
iii. EDD
iv. CR
v. From the list (i to iv above) recommend the best rule to sequence the jobs
The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.
The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.
In this case, applying the EDD rule, the sequence of jobs would be as follows:
D (Due on Friday 10th June)
F (Due on Tuesday 14th June)
E (Due on Wednesday 15th June)
C (Due on Friday 17th June)
G (Due on Thursday 16th June)
H (Due on Saturday 18th June)
A (Due on Monday 13th June)
B (Due on Monday 20th June)
By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.
Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.
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Math problem and answers are in the picture
Answer: 1/3
Step-by-step explanation:
From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).
solve the followng eqation for y. 5x-y=4
Answer:
4
Step-by-step explanation:
Answer:
y=5x−4
Step-by-step explanation:
Step 1: Add -5x to both sides.
Step 2: Divide both sides by -1.
5(y+2)=4(x-3) Can someone help me find the slope of this line pls
Answer:
4/5 is the slope.
19) The function C(x) = 25x+75 represents the labor cost (in dollars) for Bob's Auto Repair to replace
your alternator, where x is the number of hours. The table below shows sample labor costs from its main
competitor, Budget Auto Repair. The alternator is estimated to take 5 hours of labor. Which company
would you hire? Explain.
Hours 1,2,3
Cost
$90 $130 $170
we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.
C(5) = 25(5) + 75 = 125 + 75 = 200
We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.
Hours Cost
1 $90
2 $130
3 $170
We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.
It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.
It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.
In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.
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Extend Thinking: Find the x and y intercepts. (Use 2.1 & 2.2 notes to solve.)
7) y = x2 + 5x + 6
8) y = x2 – 3x + 2
Answer:
yes ok I see you
a rectangle with height $6$ and length $4$ is wrapped around a cylinder with height $6$. the rectangle perfectly covers the curved surface of the cylinder without overlap. what is the volume of the cylinder?
The volume of the cylinder is 7.64 units.
If the rectangle and the cylinder has the same height, and it perfectly covers the curved surface of the cylinder without overlap, then the circumference of the base of the cylinder is equal to the length of the rectangle.
length of rectangle = circumference of the base of the cylinder = 4
Solve for the radius of the base of the cylinder using the formula for the circumference of a circle.
C = 2πr
4 = 2πr
r = 0.6366197724
Solve for the volume of the cylinder given that the height is 6 and the radius of the base is 0.6366197724.
V = πr²h
V = π(0.6366197724)²(6)
V = 7.639437268
V = 7.64
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A local restaurant owner employs 6 high school students who all want to work the same shift during spring break vacation week. To choose which 2 students will can work the shift, the owner assigns each student employee a number between 1-6, and then she rolls a standard number cube twice, The numbers that the number cubes show represent the employees who can work the shift. (If there are doubles, she rolls again.) Is the result a fair decision? Explain.
Since each student has an equal chance of being assigned a number and the owner follows a fair process to determine the selected students, the result can be considered fair.
The result of using a standard number cube to choose which two students can work the shift is fair.
A standard number cube has six sides, numbered from 1 to 6, which corresponds to the number of student employees. By assigning each student a number between 1 and 6, the restaurant owner ensures that each student has an equal chance of being selected.
When the owner rolls the number cube twice, the numbers that appear represent the employees who can work the shift. If there are doubles (both dice showing the same number), the owner rolls again to ensure fairness.
Since each student has an equal chance of being assigned a number and the owner follows a fair process to determine the selected students, the result can be considered fair.
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