Answer: The outlier is 93 is an outlier. Since an outlier exists, median and IQR are the best measures of center and variation to represent this data set
Mrs. Ades places tiles numbered 1 through 10 in a bag and assigns numbers 1-6 to Elias and tiles 7-10 to Maha. Each day, she draws a tile, and the person whose tile is drawn has to do chores. Is Mrs. Ades being fair? Explain.
Answer:
Mrs. Ades is not being fair. The probability of Elias and Maha getting chosen should be equal, but Elias has a 6/10 chance of being chosen, while Maha only has a 4/10 chance of being chosen. This is because Elias has 6 tiles assigned to him, while Maha only has 4 tiles assigned to her.
Explanation:
To make it fair, Mrs. Ades should assign each person an equal number of tiles, or draw from a bag with the tiles numbered 1 through 5 twice, assigning one to Elias and one to Maha each time, and then draw from a bag with tiles numbered 6 through 10 twice, assigning one to Elias and one to Maha each time.
Page 1:
1
A
1=1.5 m
75°
0
B
wiper
1) What is the radius?
2) What is the angle measure?
3) What formula can you use to find the area?
4) What is the area of the space swept by the wiper?
گے
1. The radius (r) of the space swept is 1.5 m; 2. The angle measure is 75°.
3. The formula to use is Area = ∅/360 * πr²; 4. Area of the space is approximately 1.47 m².
What is the Area of a Sector?The formula to use to find the area of a sector is given as:
Area = ∅/360 * πr², where:
r is the radius; and ∅ is the angle measure.
From the image given, we will solve the problem as follows:
1. The radius (r) = 1.5 m
2. The angle measure (∅) = 75°
3. The formula is:
Area = ∅/360 * πr²
4. Plug in the values:
Area = 75/360 * π * 1.5²
Area ≈ 1.47 m²
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In a game, you can get 20 points, 10 points, 2 points. You calculated the expected value of the game; expected value = 5.6. If you play the game many times, how many points can you get on average?
On average, you can expect to get about 4.24 points per game if you play many times.
How to calculate how many points can you get on averageTo find the average number of points you can get by playing the game many times, you can use the expected value as a guide.
The expected value of the game is calculated as follows:
(20 points x probability of getting 20) + (10 points x probability of getting 10) + (2 points x probability of getting 2) = 5.6
Let's use the variables p20, p10, and p2 to represent the probabilities of getting 20 points, 10 points, and 2 points, respectively. Then we can set up the equation:
(20p20) + (10p10) + (2p2) = 5.6
We also know that the sum of the probabilities must equal 1:
p20 + p10 + p2 = 1
Now we have two equations and three variables. We need one more equation to solve for the variables. One way to do this is to assume that the probabilities of getting 20 points, 10 points, and 2 points are proportional to the point values themselves.
In other words, let's assume that:
p20 : p10 : p2 = 20 : 10 : 2
We can then use this proportion to write p20 and p2 in terms of p10:
p20 = 2p10
p2 = 4p10
Now we can substitute these expressions into the two equations we have:
(20p20) + (10p10) + (2p2) = 5.6
p20 + p10 + p2 = 1
Substituting the first equation gives:
(20(2p10)) + (10p10) + (2(4p10)) = 5.6
Simplifying:
80p10 + 10p10 = 5.6
90p10 = 5.6
p10 = 5.6/90
p10 = 0.062
Now we can use the proportions to find p20 and p2:
p20 = 2p10 = 2(0.062) = 0.124
p2 = 4p10 = 4(0.062) = 0.248
Finally, we can calculate the average number of points:
(20 points x 0.124) + (10 points x 0.062) + (2 points x 0.248) = 3.12 + 0.62 + 0.496 = 4.236
So, on average, you can expect to get about 4.24 points per game if you play many times.
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Please help quickly!
Answer:
(d) 3 × [A2] + [A1] ⇒ [B1]
(c) -2 × [B1] + [B2] ⇒ [C2]
Step-by-step explanation:
Given three systems of equations, you want to know the operations that transform one system to the next.
A to BEquation B2 is unchanged from equation A2, eliminating choices B and C.
Equation B1 is not a simple multiple of equation A1, eliminating choice A.
Knowing the answer is choice D, we need to find the multiplier k of equation A2 that is being added to A1. We can find that using the x-coefficients:
k(-3) +5 = -4
-3k = -9 . . . . . subtract 5
k = 3 . . . . . . . divide by -3
Then we have ...
3 × [A2] + [A1] ⇒ [B1] . . . . . . . choice D
B to CUsing the same tactics as above, we see that [C1] is unchanged from [B1], eliminating choices A and D.
[C2] is not a simple multiple of [B2], eliminating choice B.
Using the y-coefficient to find k, we have ...
k(1) +2 = 0
k = -2 . . . . . . . . subtract 2
Then we have ...
-2 × [B1] + [B2] ⇒ [C2] . . . . . . . . choice C
__
Additional comment
We found the equation multiplier, which we called "k", by looking at an arbitrary variable coefficient. Which of the numbers we use in this process is immaterial. That is, we could use either coefficient, or the right-side constant, and we would get the same result.
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Use the trading data for Friday, October 20 and Friday, October 27 to answer the questions. ( in the picture)
A) what was the difference between the high and low prices on October 20?
B) on October 27, what was the actual volume of discovery group shares posted? Write the volume in numerals.
C) at what price did discovery group clothes on October 19?
D) use the October 19 closing price from above and the October 20 opening price to find the difference in the prices as a percent increase. Round to the nearest hundredth place.
E) on October 21 discovery group announced that they would close one of their manufacturing plants. This resulted in a drop in their stock price. It closed at $32 express the number change from October 20 to October 21 as a percent rounded to the nearest tenth of a percent.
F) on October 28 discovery group announce that they would not be closing the plant this news cause the price of the stock to rise. It closed at $48.20 express the net change from October 27 to October 28 as a percent, rounded to the nearest tenth of a percent.
G) explain why 52 week high and 52 week low numbers are the same in both charts ?
H) examine the closing price of discover group on October 27 one year earlier one share closed at 30% higher than that amount, what was the closing price one year earlier?
The difference between the high and low prices on October 20 is $3.33
On October 27, the actual volume of discovery group shares posted is 2360000
How to explain the valueThe price that Discovery group clothes on October 19 is $36.94
The difference in the prices as a percent increase is 0.76%
The number change from October 20 to October 21 as a percent rounded to the nearest tenth of a percentage is -16.9%
The net change from October 27 to October 28 as a percent, rounded to the nearest tenth of a percent is 14.8%
The reason why 52 week high and 52 week low numbers are the same in both charts is that there was no price higher than $76.19 or lower than $22.78 for those weeks.
The closing price one year earlier is $54.60
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Baron Blakk decided to start saving. He deposited seven thousand kroner at the start of each year. He always received a fixed interest rate of 2.3%. How much interest had he received in total after eight years? Give the answer to two decimal places.
The amount of interest that Baron Blakk would receive in total after eight years would be 6, 118. 03 krona
How to find the interest ?To find the interest that Baron Blakk received in eight years of savings, we first need to find the future value of the savings. We can do this with the Future value of annuity due formula as this is an annuity and it is an Annuity due as it is paid at the beginning of the year.
The total value after eight years is:
= Amount saved x ( Future value of annuity, interest, number of years)
= 7, 000 x 8. 87
= 62, 118.03 Krona
The interest earned is:
= Total value - ( Amount saved )
= 62, 118.03 - ( 7, 000 x 8 )
= 6, 118. 03 krona
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The tables represent hat sizes measured in inches for two softball teams.
Pelicans
21.5 25 22
21 22 23
22.5 24 21.5
22 23.5 22
23.5 22 24.5
Falcons
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5
Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.
Falcons; they have a larger median value of 22.5 inches
Pelicans; they have a larger median value of 22 inches
Falcons; they have a larger mean value of about 22 inches
Pelicans; they have a larger mean value of about 23 inches
The team that has the largest overall size hat for their players is the Falcons; they have a larger mean value of about 22 inches
How to solveIn order to determine the average hat size per team, it is necessary to sum up each player's measurements and divide by the total number of players.
For the Pelicans: The combined sum equals 344.5, which results from adding up values such as 21.5, 25, 22, 24, and so on. With a team membership of 15 people, their mean measures out to approximately 22.97 inches.
The Falcon's equivalent calculation yields a total of 330 attained from summing head sizes, including those measuring 20, 23.5, 21, etc., with an equal number of members, coming close to an average measure of 22 inches thick.
As a result, comparisons between both teams reveal that the Falcons possess the larger collective hat size averages at roughly 22 inches in thickness.
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How many square kilometers are equivalent to 28.5 cm2?A) 2.85 × 10-9 km2 D) 2.85 × 10-4 km2B) 2.85 × 10-6 km2 E) none of theseC) 285 km2
The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.
Here, we have to depend on the principles of conversation of units and using this principles derive a formula.
To convert 28.5 cm² to km², we have to implement the formula
Total number of square centimeters x 1.0 x [tex]E^{-10}[/tex] = Total number of square kilometers .
The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.
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Jaxson and his children went into a grocery store and where they sell bananas for
$0. 90 each and mangos for $0. 50 each. Jaxson has $9. 10 to spend and must buy at
least 11 bananas and mangos altogether. If Jaxson decided to buy 6 bananas,
determine the maximum number of mangos that he could buy. If there are no
possible solutions, submit an empty answer.
Two friends live 7 miles apart. One Saturday, the two friends set out on their bikes at 8am and started riding towards each other. One rides at 0. 2 miles per minute, and the other rides at 0. 15 miles per minute. At what time will the two friends meet?
The time when the two friends will meet is 8:20 am.
We can start by finding the combined speed at which the two friends are approaching each other. This can be found by adding their individual speeds:
0.2 miles/minute + 0.15 miles/minute = 0.35 miles/minute
This means that the friends are approaching each other at a combined speed of 0.35 miles/minute.
To find out how long it will take for the friends to meet, we can use the formula:
time = distance / speed
In this case, the distance is 7 miles (since they are 7 miles apart) and the combined speed is 0.35 miles/minute. So we can solve for time as follows:
time = 7 miles / 0.35 miles/minute = 20 minutes
Therefore, it will take the two friends 20 minutes to meet each other while biking towards each other.
Since they started biking at 8am and it took them 20 minutes to meet, they will meet at 8:20am.
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Creating Ordered pairs
Answer:
either or
2,4 or 4,2
4,8 or 8,4
6,12 or 12,6
8,16 or 16,8
Step-by-step explanation:
if u tell me which one is x and would help even more good luck
Factor.
2d² + 11d + 9
Answer:
(d + 1) (2d + 9)
Step-by-step explanation:
2d² + 11d + 9
First, we rewrite 11d as 2d + 9d, we have the equation:
2d² + 2d + 9d + 9
We group them, so the equation will be
(2d² + 2d) + (9d + 9)
Factor out the GCF of each group
2d (d + 1) + 9 (d + 1)
Factor the polynomial by factoring out the greatest common factor, d+1
(d + 1) (2d + 9)
So, the answer is (d + 1) (2d + 9)
name a secant in this circle
Answer: Line AB
Hope this helps
A PLOT MEASURING 1.2m by 9.1m IS SORROUNDED BY A PATH 0.5m WIDE. FIND THE AREA OF THE PATH IN SQUARE METRES?
PLEASE HELPP SORRY ABT THE WRITING
Using relevant theorems the measures are:
1. x = 61°; y = 61° 2. x = 12; y = 7 3. x = 5; y = 13
4. x = 97°; 5. x = 6 6. x = 9
How to Find the Values of x and y Using Theorems?1. x = 61° [based on the vertical angles theorem]
y = 61° [based on the corresponding angles theorem]
2. 8x = 96 [based on the corresponding angles theorem]
x = 96/8
x = 12
8x = 11y + 19 [based on the vertical angles theorem]
Plug in the value of x:
8(12) = 11y + 19
96 = 11y + 19
96 - 19 = 11y
77 = 11y
77/11 = y
y = 7
3. 8x + 2 = 42 [based on the alternate interior angles theorem]
8x = 42 - 2
8x = 40
x = 40/8
x = 5
8x + 2 + [6(2y - 3)] = 180 [based on the linear angles theorem]
8(5) + 2 + 12y - 18 = 180
40 + 12y - 16 = 180
24 + 12y = 180
12y = 180 - 24
12y = 156
y = 156/12
y = 13
4. x = 97° [corresponding angles theorem]
5. 8x = 4x + 24 [based on the alternate exterior angles theorem]
8x - 4x = 24
4x = 24
x = 6
6. 11x + 33 + 6x - 6 = 180
17x + 27 = 180
17x = 180 - 27
17x = 153
x = 9
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if jimmy had 4/9 cups of juice and his friend give him 3/9 more cups juice how many cups of juice do jimmy have
Answer: 7/9
Step-by-step explanation: 3 + 4 = 9
add the /9 = 7/9
Help me please. I beg I really need help I need a better grade
The correct statements for the triangles are given as follows:
<Z is a right angle.The length of the hypotenuse of triangle STU is a² + b².The longest side of triangle XYZ is XY.What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The Pythagorean Theorem holds true for triangle XYZ, hence:
<Z is a right angle -> as the Pythagorean Theorem is true.The longest side of triangle XYZ is XY -> hypotenuse.For triangle STU, the symbol shows that it a right triangle, hence the hypotenuse length is obtained as follows:
a² + b².
Which is equals to the hypotenuse length of XYZ.
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Translate the phrase into a variable expression. Use the letter c to name th
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division.
...
the value of the company divided by 96884 shares...
A researcher was interested in comparing the resting pulse rate of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages 30-40 who do not exercise regularly and 12 people ages 30-40 who do exercise regularly were selected and the resting pulse rate of each person was measured. The summary statistics are as follows. Do Not Exercise X1=72.3 s1=10.3 n1=16 Do Exercise X2=69.0 s2=8.9 n2=12 At the 2.5% significance level, do the data provide sufficient evidence to conclude that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use the critical-value approach.
For a hypothesis testing by considering two samples related to rate of people who exercise and who do not exercise, the observed t-value < standard so, null hypothesis does not rejected and there is no evidence to support the claim.
We have a researcher who was interested in making a comparison of resting pulse rate of people who exercise regularly and who do not exercise regularly. There is two independent samples. In 1ˢᵗ sample, sample size, n₁= 16
Sample mean, [tex]\bar X_1[/tex] = 72.3
Standard deviations, s₁ = 10.3
In case of second sample, sample size, n₂ = 12
Sample mean, [tex] \bar X_2[/tex] = 69.0
Standard deviations, s₂ = 8.9
Level of significance = 2.5% = 0.25
Consider the null and alternative hypothesis for the test hypothesis are defined as [tex]H_0 : μ_1 =μ_2[/tex]
[tex]H_a : μ_1 >μ_2[/tex]
The test statistic : using t-test formula
[tex]t = \frac{ \bar X_1 - \bar X_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]
[tex]= \frac{72.3- 69}{ \sqrt{ \frac {10.3^2}{16} + \frac{8.9^2}{12}}}[/tex]
= 0.91
Degree of freedom, df = n1 + n2 - 2
= 16 + 12 -2 = 26
Using the t-distribution table, the critical value for t(0.025, df = 26) is equals to the 2.06. Now, the observed t-value = 0.91 is less than 2.06 ( standard t value), so, we do not reject H₀ . Hence, no evidence to support the researcher claim.
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Question 3
Terry has a new retirement account. He plans to make deposits of $4,750 per year for the next 40 years. He expects the account to earn 9.1% for the first 25 years, 6.9% for the next ten years, and then 4.5% for the last five years. How much will have have at the end of the forty years based on these assumptions?
With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.
what is unitary method ?The unitary approach is a strategy for problem-solving in which the value of one piece of a quantity is determined, then the cost of an unique number of units associated with that quantity is subsequently determined using that value. In other words, it's a method of proportional used to resolve issues where one unit's value is known but another's value is needed. The unitary method's fundamental premise is to establish a percentage between two quantities, one of which is stated in the form of one unit and the other in terms of a greater number of units.
given
In the following ten years, we have:
P = $4,750 r = 6.9% = 0.069
n = 10
[tex]FV2 = $4,750 * ((1 + 0.069)^10 - 1) / 0.069[/tex]
= $74,894.87
In the previous five years, we have:
P = $4,750
r = 4.5% = 0.045
n = 5
= $127,756.44
Lastly, we can combine the two figures to determine the account's entire future value:
FV is $208,556.47 + $127,756.44 = $336,312.91 (annual deposits + initial investment).
With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.
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Question 9(Multiple Choice Worth 2 points)
(Creating Graphical Representations LC)
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.
Explain about the Histogram:A histogram is a representation of statistical data that makes use of rectangles to illustrate the frequency of dataset in a series of equal-sized numerical intervals.
The independent variable is represented is along horizontal axis and indeed the dependent variable is plotted along of the vertical axis in the most popular type of histogram.A histogram is a type of bar graph that displays how frequently something occurs over a range of time. Histograms compare a variety of data, as opposed to bar graphs, which compare defined amounts.Given that-
The most efficient sort of graphic to show the data would be a histogram.A histogram is an illustration of a graph that shows the proportion of data points within such a range of values.It is a useful tool for showing data distribution and also can aid in the identification of trends and patterns.The best sort of graph to use is a histogram because it displays the frequency of data points.Thus, Histogram is the ideal type of graphic to depict the data from the school's random sample of 100 students.
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What is the domain of the following graph?
Answer:
D
Step-by-step explanation:
Look at the graph and find the lowest x value and the highest x value. We don't use y in the inequality because it is not a range question. Domain relates to x-values and range relates to y-values.
When you have found the lowest and highest x-values, look at their dots. If it is shaded, then the answer would contain a less than sign between the number and variable. If it shaded, then it would contain a less than or equal to sign.
Both of the dots with the lowest and highest values are shaded. And the lowest and highest values are -4 and 4 respectively.
Therefore, the answer is D.
HELP ASAP!!
Add. (5x + 8) + (2x + 5)
Answer:
7x + 13
Step-by-step explanation:
because the correct answer is 7x+13
help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.
What is an area model?An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.
b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.
2x⁴ − 3x³ − 2x² − 4x − 1
+---------------------------------------
x | 2x⁵ -3x⁴ -2x³ -4x² -x
|
3 | 6x⁴ -9x³ -6x² -12x -3
+---------------------------------------
c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.
x + 8 x - 5
+--------------------
x | x² + 8x x² - 5x
|
-5 | -5x + -40 -5x + 25
+--------------------
The final total area can be found by adding up the areas of the smaller rectangles:
Total area = x² + 8x + x² - 5x - 5x - 40 + 25
= 2x² - 10x - 15
= 2x² - 10x - 15.
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A group of friends wanted to rent a cabin for the fourth of July.
The total cost to rent the cabin was $960. However, 4 of the
friends decided not to go. The remaining friends decided to
divide the $960 cost equally, which therefore increased each
share by $120. How many friends were originally in the group?
Show all your work!
If a group of friends wanted to rent a cabin for the fourth of July. The number of friends that were originally in the group is 8.
How to find the number of friend?Let x represent the number of friends in the group
Cost per person =960/x
After the 4 friends dropped out the remaining number of friends was = x - 4
New cost per person =960/x + 120
New total cost of the cabin rental = (x - 4) * (960/x + 120)
Set the two expressions equal to each other
960 = (x - 4) * (960/x + 120)
960 = 960 - (3840/x) + 120(x - 4)
Simplifying
3840/x = 120x - 480
Multiplying both sides by x
3840 = 120x^2 - 480x
Rearranging
120x^2 - 480x - 3840 = 0
Dividing both sides by 120
x^2 - 4x - 32 = 0
Quadratic equation
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where:
a = 1, b = -4, and c = -32.
Plugin the formula
x = (4 ± √(16 + 128)) / 2
x = (4 ± √(144)) / 2
x = (4 ± 12) / 2
x = 8 or x = -4
Therefore the number of friends is 8.
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i need help someone . i need help on my iready
It wants you to multiply (5) x (8) = 40/3
Consider the queueing model of the bank in Conceptual Problem 6.9. Suppose the arrival rate is 18 per hour, the mean service time is 10 minutes, and the lobby can handle 15 customers at one time. How many tellers should be used if the aim is to keep the mean queueing time to less than 5 minutes
The number of tellers that should be used if the aim is to keep the mean queuing time to less than 5 minutes is 3.
To determine the number of tellers follow these steps:
1. Arrival rate (λ) = 18 customers per hour
2. Mean service time (μ) = 10 minutes per customer = 1/6 customer per minute
3. Lobby capacity = 15 customers
4. Target mean queuing time = 5 minutes
Now, calculate the service rate and find the number of tellers needed to achieve the target mean queueing time.
Step 1: Convert arrival rate to customers per minute: λ = 18/60 = 0.3 customers per minute
Step 2: Calculate the service rate per teller: 1/μ = 1/(1/6) = 6 customers per hour = 0.1 customers per minute
Step 3: Determine the number of tellers (n) needed to achieve the target queuing time:
Using the formula:
n > λ / (μ * (Wq_target + 1/μ))
Here, Wq_target is the target mean queuing time in minutes.
n > 0.3 / (0.1 * (5/60 + 1/(6/60)))
After solving the inequality, we get:
n > 2.4
Since the number of tellers must be a whole number, therefore, at least 3 tellers should be used in the queueing model of the bank to keep the mean queueing time to less than 5 minutes.
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a(n) ▼ event sample space outcome experiment is any collection of outcomes from a probability experiment.
In probability theory, an event is any collection of outcomes or results from a probability experiment. option a) is correct event
It represents a particular occurrence or set of occurrences that we are interested in studying or analyzing. A sample space (option b) is the set of all possible outcomes in a probability experiment. An outcome (option c) is a particular result of a single trial of a probability experiment. An experiment (option d) refers to the process of conducting a trial or series of trials to observe the outcomes and collect data for analysis in probability theory. Therefore, the correct answer is option a) event.
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Complete Question
A(n) _______ is any collection of outcomes from a probability experiment.
a) event
b) sample space
c) outcome
d) experiment
To summarize, an outcome is a result of an experiment, a sample space is a collection of all possible outcomes, an event is a set of outcomes chosen from the sample space, and a collection is a group of events with a common property.
An experiment in probability refers to a process of observing or measuring some phenomenon, where the outcomes are uncertain. The collection of all possible outcomes from this experiment is known as the sample space. An outcome is a particular result that occurs as a result of the experiment.
Now, a set of outcomes chosen from the sample space is known as an event. An event can be as simple as a single outcome or as complex as a combination of outcomes. For example, flipping a coin and getting heads is a simple event, while flipping a coin and getting heads or rolling a dice and getting an even number is a compound event.
Finally, a collection of events is simply a group of events that share a common characteristic or property. In probability, we use collections of events to determine the likelihood of certain outcomes occurring. This allows us to make predictions about the experiment based on the available data.
So, to summarize, an outcome is a result of an experiment, a sample space is a collection of all possible outcomes, an event is a set of outcomes chosen from the sample space, and a collection is a group of events with a common property.
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change 0.56kilometres into metres
Answer: 560 metres.
Step-by-step explanation: Here’s a step-by-step explanation of how to convert 0.56 kilometres into metres:
1. Start with the value in kilometres: 0.56 km
2. Know that there are 1000 metres in a kilometre.
3. Multiply the value in kilometres by the conversion factor (1000 m/km): 0.56 km x 1000 m/km = 560 m
4. The result is the value in metres: 560 m
So, 0.56 kilometres is equal to 560 metres.
In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help me
The scale factor applied for each dilation are-
For ΔABC - scale factor = 2For ΔDEF - scale factor = 1/2For ΔGHJ - scale factor = 1/3For ΔKML - scale factor = 3Explain about the term scale factor :The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
The form will be smaller if the scaling factor is a fraction. Reduction is the term for this. Therefore, a scaling factor of 1/2 suggests that the fresh shape is equal to half of the old shape.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Hence, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Hence, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Hence, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Hence, For ΔKML - scale factor = 3
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