Answer:17$
Step-by-step explanation:
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10
How to find the consistent bus ?To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.
Bus 47:
Median (Q2): 16
Q1: 10
Q3: 22
IQR = Q3 - Q1 = 22 - 10 = 12
Bus 18:
Median (Q2): 12
Q1: 8
Q3: 18
IQR = Q3 - Q1 = 18 - 8 = 10
Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.
Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.
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Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone number whereby potential adopters can ask questions about forthcoming texts, request examination copies of texts, and place orders. Currently, two extension lines are used, with two representatives handling the telephone inquiries. Calls occurring when both extension lines are being used receive a busy signal; no waiting is allowed. Each representative can accommodate an average of 15 calls per hour. The arrival rate is 30 calls per hour.
How many extension lines should be used if the company wants to handle 90% of the calls immediately?
fill in the blank 1
lines should be used
What is the average number of extension lines that will be busy if your recommendation in part (a) is used? Round your answer to four decimal places.
L = fill in the blank 2
What percentage of calls receive a busy signal for the current telephone system with two extension lines? Round your answer to two decimal places.
fill in the blank 3
%
The various answers to the question are:
To answer 90% of calls instantly, the organization needs four extension lines.The average number of extension lines that will be busy is FourFor the existing phone system with two extension lines, 34.25 % of calls get a busy signal.How many extension lines should be used if the company wants to handle 90% of the calls immediately?a)
A number of extension lines needed to accommodate $90 in calls immediately:
Use the calculation for busy k servers.
\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)
The probability that 2 servers are busy:
The likelihood that 2 servers will be busy may be calculated using the formula below.
\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)
Hence, two lines are insufficient.
The probability that 3 servers are busy:
Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.
\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)
Thus, three lines are insufficient.
The probability that 4 servers are busy:
Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.
\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)
Generally, the equation for is mathematically given as
To answer 90% of calls instantly, the organization needs four extension lines.
b)
The probability that a call will receive a busy signal if four extensions lines are used is,
\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)
Therefore, the average number of extension lines that will be busy is Four
c)
In conclusion, the Percentage of busy calls for a phone system with two extensions:
The likelihood that 2 servers will be busy may be calculated using the formula below.
\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)
For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.
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The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
HELP !!!! A rental car company charges $61 per day to rent a car and $0.12 for every mile driven. Nathan wants to rent a car, knowing that: • He plans to drive 400 miles. • He has at most $170 to spend.
Answer:
2 days
Step-by-step explanation:
he plans to drive 400 miles, so the cost of his miles will 400*0.12=48
his total budget is 170, so subtract 48 from that
170-48=122
the rental company charges 61 per day and he has 122 after subtracting the cost of his miles, so he will have 122/61 days to drive 400 miles
122/61=2
Knowing the charge per day and per mile driven of a rental car company, we want to see if Nathan has enough money to travel. We will see that Nathan has enough money to rent the car for two days and travel the 400 miles he plans to.
Now let's see how to solve the problem.
We know that the rental company charges $61 per day plus $0.12 per mile driven.
Assuming that Natan will only rent the car for one day, if he drives for x miles the total cost is:
C(x) = $61 + $0.12*x
Now, we know that Natan wants to drive 400 miles ( in total) and he can spend, at most, $170
So let's see if he can do it, we just evaluate the cost equation in x = 400
C(400) = $61 + $0.12*400 = $109
This even means that he could rent the car for another day, because adding $61 the cost becomes:
$109 + $61 = $170
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What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
What is the scale factor? please explain
Answer:
The scale factor is just the ratio like 3/15
little traingle/big triangle
Step-by-step explanation:
Translate this sentence into an equation. The product of Mabel's age and 4 is 56. Use the variable m to represent Mabel's age.
Answer:
4m = 56
Step-by-step explanation:
4 * m = 56
4m = 56
4/4m = 56/4
m = 14
Consider the following pieces of identification a person might have in order to apply for a credit card:
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
Write Logical expressions
1. The applicant must present either a birth certificate, a drivers license or a marriage license.
2. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license
3. Applicant must present either a birth certificate or both a drivers license and a marriage license
Answer:
B v D v M ;
(B ٨ M) V (B ٨ D) V (M ٨ D) ;
B V (D ٨ M)
Step-by-step explanation:
Given :
B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license
1.)
This means that any one of the three must be presented :
Birth certificate OR Driver's license OR Marriage certificate
B v D v M
2.)
This means any two combination of the three certificates :
(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)
(B ٨ M) V (B ٨ D) V (M ٨ D)
3.)
That is birth certificate alone will suffice or a driver's incense and a marriage certificate
B V (D ٨ M)
What is the x value such that y=15 - 3x and y = 0
miguel works at a video game store if he makes 185$ a day how much money will he maje in 30 days
Answer:
5550
Step-by-step explanation:
if one day is 185 and he works for 30 days you just have to multiply them
Which function is equivalent to y=3(x−4)2+10?
y=3x2−24x+78
y=3x2−8x+18
y=3x2−24x+58
y = 3x² + 26
Answer:
y=3x2-24x+58
Step-by-step explanation:
just took the quiz
Appease answer ill do anything please
Answer:
y=50x
Step-by-step explanation:
distance = 50 times the laps
100= 50 x 2
200 = 50 x 4
250= 50 x 5
400 = 50 x 8
Answer:
y=x+50
Step-by-step explanation:
PLease see attached. This is an algebra question
The solution for the given expression is 16.
Power RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
First, you apply the Power Rules - Power for \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).
After that, you should apply the Power Rules - Division . For this rule, you should repeat the base and subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).
Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)
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The flower box is 5 ft long, and its ends are in the shape of a trapezoid. The upper and lower bases of the trapezoid measure 18 in. and 10 in., respectively, and the height is 9 in. Find the volume of the flower box.
The volume of the flower box is 7560 cubic inches
How to determine the volume of the box?The given parameters in the question are:
Length = 5 ft
Upper and lower bases = 18 inches and 10 inches
Height = 9 inches
The volume of the box can be calculated using the following volume equation
Volume = 0.5 * Height * Length * (Sum of the bases)
Substitute the known values in the above equation So, we have the following equation
Volume = 0.5 * 9 inches * 5 feet * (18 inches + 10 inches)
Convert feet to inches
Volume = 0.5 * 9 inches * 60 inches * (18 inches + 10 inches)
Evaluate
Volume = 7560 cubic inches
Hence, the volume is 7560 cubic inches
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Thank you for your help me today
Answer:your welcome
Step-by-step explanation:
Analyze the diagram. Which quadrilateral is a kite?
Quadrilateral N M O P is shown. Sides P N and N M are congruent.
Quadrilateral A B C D is shown. Sides A D and D C are congruent. Sides A B and B C are congruent.
Quadrilateral N M O P is shown. All sides are different lengths.
Answer: in the picture
Answer:
Quadrilateral ABCD
Step-by-step explanation:
Jim is 5 feet tall. What is his height in inches?
Helppppppp
Answer:
5 feet = 60 inches
Step-by-step explanation:
Every foot is 12 inches, so.. this problem can be turned into simple multiplication..
12 x 5= 60
So, Jim is 60 inches tall.
Hope this helps! :)
Have a nice day!♥
I NEED HELP ASAPPPPPP
Answer:
2.5
Step-by-step explanation:
m is the gradient
to find this we do the change in y/change in x
using the first 2 values we have been given:
change in y= 15-10
change in x= 4-2
5/2= 2.5
the gradient in 2.5
Solve the following equation by first writing the equation in the form ax² = c
²-49-0
a.
b.
C.
d.
-49
- 149
= 7
:= ±7
The solution to the given equation is x = ±7. The correct option is d. x = ±7
Solving quadratic equationsFrom the question, we are to determine the solution to the given equation
The given equation is
x²-49 = 0
NOTE: I assumed the variable is x
Solving the equation
x²-49 = 0
Writing in the form ax²= c
x² = 49
∴ x = ±√49
x = ±7
Hence, the solution to the given equation is x = ±7
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For x + 5= 20, what could you do to both sides to find the value of x that will make the equation true?
15 is the value of x that will make the linear equation true .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
x + 5= 20
X = 20 - 5
x = 15
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If angle pqt is (3x+47)and angle sqr is (6x-25), find the measure of angle sqr
Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
Based on the data shown below, calculate the correlation coefficient (to three decimal places)
Х
3
4
5
6
7
8
9
10
у
100. 2
93
91. 6
89. 4
86. 6
81. 6
82. 2
82. 4
T=
Question Help: D Post to forum
The correlation coefficient is -0.4124
How to determine the correlation coefficientFrom the question, we have the following parameters that can be used in our computation:
The table of values
Next, we enter these values in a graphing tool, where we have the following summary
X Values
∑ = 52
Mean = 6.5
∑(X - Mx)2 = SSx = 42
Y Values
∑ = 93
Mean = 11.625
∑(Y - My)2 = SSy = 7567.875
X and Y Combined
N = 8
∑(X - Mx)(Y - My) = -232.5
For the coefficient, we have
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -232.5 / √((42)(7567.875)) = -0.4124
Hence, the value is -0.4124
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help pleaseee!!!! I’ll give brainliest
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Is 2.845 seconds faster than 2.835 seconds?
Answer:
No, the opposite.
Step-by-step explanation:
Because if you take out the decimal and see which one is less, btw less is faster, then 2.835 is faster.
wat factor of 26 is between 4 and 26
Answer:
13
Step-by-step explanation:
cos 13 x 2 = 26
13 is a factor that is more than 4 and less then 26
The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.
Explanation:In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.
To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.
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The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one time membership fee. The cost, G, is measured in dollars for m months. 1. Find the value of G(6).
Answer:
386.75
Step-by-step explanation:
added in the picture
The cost of joining the gym for 6 months is 386.75.
Given,
The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.
The cost, G, is measured in dollars for m months.
We need to find the value of G(6).
Here,
The one-time membership = 89.75.
Now,
Putting m = 6 months in:
G(m) = 49.5m + 89.75
G(6) = 49.5 x 6 + 89.75
= 297 + 89.75
= 386.75
Thus the cost of joining the gym for 6 months is G(6) = 386.75.
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Select all of the following tables which represent y as a function of x
.
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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NO LINKS!! Please assist me with this problem Part 1m
Answer:
(x + 8)² + (y - 8)² = 64=======================
Given ConditionsTangent to x-axis,Tangent to y-axis,In the second quadrant,Radius is 8 units.SolutionEquation of circle:
(x - h)² + (y - k)² = r², where (h, k) is center and r - radiusThe center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.
So the coordinates of the center are:
x = - 8, y = 8The equation is:
(x - (-8))² + (y - 8)² = 8²(x + 8)² + (y - 8)² = 64Answer:
\((x+8)^2+(y-8)^2=64\)
Step-by-step explanation:
Required conditions:
Tangent to both axes.Center in the second quadrant.Radius = 8 units.If the circle is tangent to both axes, its center will be the same distance from both axes. That distance is its radius.
If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).
Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.
If the radius is 8 units, then the center is (-8, 8).
\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)
Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:
\(\implies (x-(-8))^2+(y-8)^2=8^2\)
\(\implies (x+8)^2+(y-8)^2=64\)
An engineer is designing a new smartphone. The company wants to keep of the weight finished product below 12 ounces. After finishing his design, he realizes he forgot to include eight 1/6 oz screws. If the weight before adding the screws is 10 1/2 oz, will the design be within the desired weight limit? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 < 12
The weight with the added screws is still below 12 ounces.
Answer:
we have
10 1/2 + 8×(1/6) = (10 3/6) + (1 2/6) = 11 5/6 <12
The weight with the added screws is still below 12 ounces.
yes the design be within the desired weight limit