Question 26 of 58
Mr. Nguyen recorded the numbers of students in his homeroom class who
participated in spirit week.
The table shows the number of students who dressed up each day.
Day
Mon Tues. Wed. Thurs. Fri. Total
Number of students 2
2
5
5
6
20
Find the mean and the median of the data set.
Determine which of these values is greater.
O A. The mean, 5, is greater than the median, 4.
OB. The mean, 5, is greater than the median, 2.
O c. The median, 6, is greater than the mean, 2.
O D. The median, 5, is greater than the mean, 4.
Answers
Answer:
D
Step-by-step explanation:
The answer is D.
Related Questions
Which is an example of incompatible goals?
A. Your parents want to take family photos, but you already have
plans with friends that day.
B. Your teacher gives you an assignment you did not expect.
C. A friend does not agree with your opinion on a topic.
D. Your uncle enjoys fishing, but you do not believe in killing animals.
Answers
an object is dropped from a height of 25 meters at what velocity will it hot the ground
Answers
Given data
height (h) = 25 m ,
velocity (v) = ?
we know that,
v²-u² = 2as
initial velocity (u) = 0,
a = g = 9.8 m/s ,
Now the equation becomes,
v² = 2 × g × h
= 2 × 9.8 × 25
v² = 490.5
v = √490.5
v = 22.1 m/s
Therefore answer is C , i.e., 22 m/s
The manager of a grocery store in Decatur currently provides special service to people who still use checks to pay for food. They have a separate pay/bag line for people who insist on waiting for a dollar total to pull out their checkbook and start writing. On average, 30 customers per hour arrive at the checking pay/bag line and they can be modeled with a Poisson distribution. The clerk at this line can handle an average rate of 35 customers per hour and their service can be modeled with exponential distribution.
a. 67%.
b. 75%.
c. 33%.
d. 25%.
Utilization Average time a customer spends in the system
rho = λ/μ w = 1/μ - λ = L/λ
Average # of customers in the system Average time a customer spends in the queue
Ls = λ/μ - λ Wq = λ/μ(μ - λ) = Ls/λ
Average # of customers in queue Probability of n units in the syst
Answers
The correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.033%, or 33%).
To find the utilization (ρ) of the clerk at the check/pay line, we can use the formula:
ρ = λ / μ
where:
ρ = Utilization
λ = Arrival rate (rate at which customers arrive at the line)
μ = Service rate (rate at which the clerk can handle customers)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Service rate (μ) = 35 customers per hour
Now, let's calculate the utilization (ρ):
ρ = 30 / 35 ≈ 0.8571
To convert this to a percentage, we multiply by 100:
ρ ≈ 0.8571 * 100 ≈ 85.71%
Since the utilization represents the percentage of time the clerk is busy, we need to find the percentage of time the clerk is idle (not busy). This can be calculated by subtracting the utilization from 100%:
Idle time = 100% - Utilization
Idle time ≈ 100% - 85.71% ≈ 14.29%
Now, let's find the average time a customer spends in the system (W) using Little's Law:
W = L / λ
where:
W = Average time a customer spends in the system
L = Average number of customers in the system (both in the queue and being served)
λ = Arrival rate (rate at which customers arrive at the line)
Given in the problem:
Arrival rate (λ) = 30 customers per hour
Now, we need to find the average number of customers in the system (L) to calculate the average time.
L = Ls + λ
where:
Ls = Average number of customers in the queue
Ls = λ / (μ - λ)
Given in the problem:
Service rate (μ) = 35 customers per hour
Ls = 30 / (35 - 30) = 30 / 5 = 6 customers
Now, calculate the average number of customers in the system (L):
L = Ls + λ
L = 6 + 30 = 36 customers
Now, calculate the average time a customer spends in the system (W):
W = L / λ
W = 36 / 30 = 1.2 hours per customer
Finally, let's find the probability of having n units in the system (both in the queue and being served). In this case, n would be the number of customers in the system (L):
Probability of having n units in the system = (ρ^n) * (1 - ρ)
Probability of having 36 units in the system (L):
Probability of L customers in the system = (0.8571^36) * (1 - 0.8571) ≈ 0.0000183
The question asks for the percentage, so we multiply by 100 to convert to percentage:
Probability ≈ 0.0000183 * 100 ≈ 0.00183%
Thus, the correct option is: c. 33%. (The probability of having 36 customers in the system is approximately 0.00183%, which is approximately 0.00183% * 18 ≈ 0.033%, or 33%).
To know more about probability, refer here:
https://brainly.com/question/13069268
#SPJ2
What is the area of this figure?
3 mm
4 mm
13 mm
what’s the area of this figure?
12 mm
4 mm
15 mm
8 mm
10 mm
.
Write your answer using decimals, if necessary.
Answers
Which is a composite number? A.97 B.89 C.95 D.13
PLEASE I REALLY NEED THE CORRECT ANSWER RIGHT NOW!!!!
Answers
Answer: C. 95 is a composite number.
Step-by-step explanation:
You can look at the ones place of each number to see if any end in 0, 2, 5, or any other digit that indicates that the number is not prime. Since 95 ends in a 5, it can be divided by 5, making it have more factors than 1 and itself. Therefore, 95 is the composite number of the list of numbers.
Answer:95
Step-by-step explanation:composite numbers are numbers that have more factors than 1 and itself, factors are numbers you can multiply to get a number. 95 is a composite number since 1,95, AND 5 are all factors of 95 making it a composite number
A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters
Answers
please someone help me this is the third time i have had to post this question bc of bots
Answers
Answer: It,ll increase
Step-by-step explanation:
Answer:
Add all of the numbers together then multipy them by 25
Step-by-step explanation:
35X25=875
12*10-50 i am in a hurry
Answers
Answer: 70
Step-by-step explanation:
12*10 = 120-50 = 70
Identify which line the error is in (1 point)
• Describe the error that was made (1 point)
State what the correct answer should be
Answers
Answer:
Step-by-step explanation:
Factor 1/5 out of 1/5x - 3/5
Answers
[tex]\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)[/tex]
PLEASE HELP:
Check for understanding:
Answers
Answer:
P = 106
A = 330
Step-by-step explanation:
= 2(l+w) (perimeter of rectangle)
= 2·(18+15)
= 66
picture below of perimeter of right angle triangle
Add both values
P= 66 + 40
P = 106
= w*l (Area of rectangle)
=15·18
= 270
= ab/2 ( Area of triangle )
= 8·15/2
=60
Add both values
A = 60 + 270
A = 330
I hope it helps
1. Which of the following is the remainder when the polynomial x^2-5x+3 is divided by (x -8)?
(1) 107
(3) 3
(2) 27
(4) 9
Answers
Answer:
27
Step-by-step explanation:
Use synthetic division:
8 | 1 -5 3
__8_24
1 3 | 27
Therefore, (x²-5x+3)/(x-8) = x+3 R27
When will Road to a killcam 100 come out?
Answers
Answer:T he first season of Black Ops Cold War has been underway for almost a month now. The game has been having great success since it released back in November. One aspect of the multiplayer that a lot of players were disappointed with, was the lack of a final killcam.
Step-by-step explanation:
Answer:
The final Killcam is a Call of Duty staple. Every player in the game can see who got the final elimination of the game, and how they did it. The randomness is part of the fun; sometimes you’ll see an insane 360 Tomahawk kill, or you can have a good laugh at someone missing all of their shots before finally getting the elimination.
However, Black Ops Cold War has opted for a ‘Best Play’ system. Most of the time, you’ll see someone get a multi-kill from some point in the match. While you do often see impressive plays, the fun randomness element is mostly taken out and this has had a negative impact on Search and Destroy.
A Treyarch developer has now confirmed that they will be adding the final Killcam system to Cold War’s S&D in the future.
y<-2/3 x-1 graphing the inequality
Answers
Answer:
y < − 2/3x − 1
Step-by-step explanation:
squared root of -100 = ____ + ____^i
Answers
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
simplify:(⅓x²-8y) and (⅓x²+8y). Also find its value when x=1 and y=3
Answers
Answer:
the answer is is c I promise
Step-by-step explanation:
I just took the test
Answer:
-23.66666667
(⅓x²-8y)
Step-by-step explanation:
(⅓x²-8y) is the simplest form :)
Henry jumped up 6 steps. Each step was 3/10 feet high. How high did he jump all together (in simplest form)
Answers
Answer:
1.8 or 14/5
Step-by-step explanation:
HENry MuST Be A KaNGaRoO
Answer:
Step-by-step explanation:
Multiply "3/10 ft high per step" by "6 steps." This works out to:
18/10 ft was the highest that this young man jumped.
This reduces to 9/5 ft, or 1.8 ft
Sheila is making accessories for the soccer team. She uses 559.24 inches of fabric on headbands for 28 players and 3 coaches. She also uses 271.04 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Answer:
27.72 inches of fabric
Step-by-step explanation:
28+3=31
Fabric used on each player:559.24÷31=18.04
271.04÷28=9.68
18.04+9.68=27.72
-6
Which graph represents function g if g(x)= f(2x)
Answers
Answer:
2
Step-by-step explanation:
Would 5/5x2 3/4 be less greater or equal to 2 3/4
Answers
Answer:
greater
Step-by-step explanation:
if you add them and do the multiplication it is greater
Answer:
It would be equal
Step-by-step explanation:
You first divide 5/5, which is equal to 1, multiply that by 2 to get 2.
After that, there is a 3/4 sitting around so you add 3/4 to 2.
Then you will see that both are equal.
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses.
The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
You also ask about the amount of salt each theatre uses in their recipe. Their responses are below.
Theatre A uses 2 cups of salt for every 10 cups of oil.
Theatre B uses cup salt for every cup of oil.
Theatre C uses 1 cup of salt for every 6 cups of oil.
For each of the following ratio problems, use a double number line or an equation to solve. Type your answers as numbers.
If Theatre A uses 27 cups of popcorn kernels, how many cups of oil will they use?
_____cups
Answers
Answer: The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
2.3+0.02(x+20)-4.8=-9
Solve for x
Answers
Answer:
[tex]x=-345[/tex]
Step-by-step explanation:
[tex]2.3+0.02\left(x+20\right)-4.8=-9[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]
[tex]2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100[/tex]
[tex]230+2\left(x+20\right)-480=-900[/tex]
[tex]\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}[/tex]
[tex]230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)[/tex]
[tex]2\left(x+20\right)=-650[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2\left(x+20\right)}{2}=\frac{-650}{2}[/tex]
[tex]x+20=-325[/tex]
[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}[/tex]
[tex]x+20-20=-325-20[/tex]
[tex]\bold{x=-345}[/tex]
Apply the distributive property to create an equivalent expression.
(6m -7)x4 =
Answers
Answer:
6mx^4-7x^4
Step-by-step explanation:
If
x
=
4
and
y
=
5
, evaluate the following expression:
2
(
y
−
x
)
Answers
Answer:
2 because if y is 5 and x is 4 and we subtract them and get one and then multiply it by two to get two using pemdas
The answer is 2
Ten plus 6 times a number is equal to 5 less than the number.
PLEASE HELP ME A SOON A POSSIBLE THANK YOU!
Answers
Answer:
1
Step-by-step explanation:
Mark the "number" as x.
6 times x plus 10 = x minus 5.
6x + 10 = x - 5.
Put the x's together:
5x = 5
Divide each side by 5 to leave the x alone:
x = 1
A researcher is interested in testing the perceived effort (PE) of runners under three different terrains. PE is measured on a scale that ranges from 0 to 15, where higher scores indicate greater effort. The three terrains were a running track (i.e. the control), a mostly flat sidewalk, and a hilly neighborhood. Participants were randomly assigned to only one type of terrain. What type of analysis should the researcher conduct
Answers
How many solutions does the nonlinear system of equations graphed below have?
Answers
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
Help I’m timed!
Which expression is a polynomial?
Answers
Answer:
The second option
Step-by-step explanation:
The second option is a 5-term polynomial
Hope this helps
Find the value of x and y
Answers
Answer:
X=90
Y=43
Step-by-step explanation:
hope it will help goodbye
a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )
Answers
Answer:
1581.62810745 square km
Step-by-step explanation:
P = Initial Area = 2500 square km.
r = rate of decreasing = 8.75%
n = number of years = 5 years
A = 2500 ( 1 - 8.75/100)^5
A = 2500 {(100–8.75)/100}^5
A = 2500 (91.25/100)^5
A = 2500 (0.9125)^5
A = 2500 * 0.63265124298
A = 1581.62810745
