Burger Quick is able to estimate their wait time more consistently than Fast Chicken because it has a smaller IQR.
Burger Quick is able to estimate their wait time more consistently than Fast Chicken because it has a smaller IQR (interquartile range).
The IQR represents the range of the middle 50% of the data, and a smaller IQR indicates that the data is more tightly clustered around the median.
In this case, the IQR for Burger Quick is 15.5 - 9.5 = 6, while the IQR for Fast Chicken is 14.5 - 10 = 4.5.
This means that the wait times reported by Burger Quick are more consistent and predictable than those reported by Fast Chicken.
The range, on the other hand, represents the difference between the largest and smallest data points and does not provide information about the consistency of the data. Therefore, we cannot use the range to determine which drive-thru estimates their wait time more consistently.
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PLEASE HELP ME ANSWER THIS QUESTION. I REALLY NEED IT
A: 10
B: 8
C: 21
D: 15
PLS HELP 15 POINTS I'LL DO BRAINLIEST
Urgent!
Given the following formula, solve for y1.
Formula: m = y²- y¹/ x² - x¹
After considering all the given options we conclude that the value of the given formula is y₁ = y₂ - m(x₂ - x₁) which is Option C.
To evaluate for y₁ in the equation m = (y₂ - y₁) / (x₂ - x₁), we can apply algebraic manipulation to isolate y₁.
In the first step, we multiply both sides of the equation by (x₂ - x₁) to eliminate the denominator. Therefore,
m(x₂ - x₁) = y₂ - y₁
In the second step, we can subtract y₂ from both sides of the equation to isolate y₁.
Therefore,
y₁ = y₂ - m(x₂ - x₁)
So, the solution for y₁ is given by the formula:
y₁ = y₂ - m(x₂ - x₁)
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You are considering a new project whose data are shown below. The required equipment has a 3-year tax life, after which it will be worthless, and it will be depreciated by the straight-line method over 3 years. Revenues and other operating costs are expected to be constant over the project's 3-year life. What is the project's Year 1 cash flow? Equipment cost (depreciable basis) $65,000 Sales revenues, each year $60,000 Operating costs (excl. depreciation) $25,000 Tax rate 35.0%
9 se the given rules to complete the following tables. Classwork x y=-2r-8 y=-2x+8 HoNetwork =-5g-4 -3 -1 -2 -2 -2 -1 -3 -1 0 -4 0 1 -5 10 -6 2 100
The complete table for the linear function y = -2x + 8 is:
x y
1 6
2 4
3 2
4 0
5 -2
The given function is y = -2x + 8, which represents a linear equation in the slope-intercept form. In this form, the equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.
Comparing the given equation with the slope-intercept form, we can see that the slope of the line is -2, which means that the line goes down by 2 units for every 1 unit it moves to the right. The y-intercept of the line is 8, which means that the line intersects the y-axis at the point (0, 8).
The complete table:
x y
1 6
2 4
3 2
4 0
5 -2
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The complete question:
Complete the following table as per the function y = -2x + 8.
x y
1
2
3
4
5
Geoff sold his handknit hats for
$15 each at the farmers' market. He
bought $45 of yarn to make the hats.
If x represents the number of hats
sold, which expression represents
Geoff's earnings?
If x represents the number of hats sold, the expression representing Geoff's earnings is 15x.
What is an expression?An algebraic expression is a mathematical statement that combines variables, constants, values, numbers, and other quantities based on mathematical operands but without using equal symbols (=).
The selling price per handknit hat = $15
The total cost of materials (yarn) for making the hats = $45.
Let the number of hats sold = x
Expressions:Total earnings from the sales = 15x
Total cost = $45
Net earnings = 15x - 45
Thus, the expression that represents Goefft's earnings from the sale of handknit hats is 15x.
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In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Check the picture below.
[tex]\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm[/tex]
Make sure your calculator is in Degree mode.
The area of the object nelow
[tex] {77.05 \: m}^{2} [/tex]
hope this is correct
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm while its height is 10 cm. She wanted to transfer some of her clay to her cone-shaped container. What is the volume of the cone to be filled up if it has the same radius and height with
Pls do it with a solution
the volume of the cone to be filled up if it has the same radius and height with is 376. 6 cm³
How to determine the volumeTo determine the volume, we need to know the formula for the volume of a cone.
The formula for the volume of a cone is expressed as;
V = πr²h/3
Such that the parameters are expressed as;
V is the volume of the coner is the radius of the coneh is the height of the coneSubstitute the values, we have;
Volume = 3.14 × 6² × 10/3
Find the square value
Multiply the value, we have;
Volume = 1130. 4/3
Divide the values
Volume = 376. 6 cm³
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Graph these integers on a number line:0,-5,1,3
Answer:
-5,0,1,2,3
Step-by-step explanation:
in a number line the negative numbers are always on your left hand side and as you head to the right they increase thus becoming positive integers
The table gives the temperature (in "F) in five cities at 6 a.m. on the same day. Use the table to answer the questions.
Temperature
(°F)
-26
43
-14
City
Juneau
Springfield
Montreal
Milwaukee
Atlanta
-3
F lower
68
(a) How much lower was the 6 a.m, temperature in Juneau than in Atlanta?
(b) By noon, the temperature in Milwaukee had risen by 11 °F.
What was the temperature there at noon?
a) The temperature in Juneau was 23°F lower than in Atlanta.
b) The temperature in Milwaukee at noon would be -3°F.
(a) The temperature difference between Juneau and Atlanta is:
= -3 - (-26)
= 23°F lower in Juneau
Therefore, the 6 a.m. temperature in Juneau was 23°F lower than in Atlanta.
(b) Since the temperature in Milwaukee had risen by 11°F, its temperature at noon would be:
= -14 + 11
= -3°F
Therefore, the temperature in Milwaukee at noon would be -3°F.
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Janet Foster bought a computer and printer at Computerland. The printer had a $860 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,020 list price with a 25% trade discount but no cash discount. On the computer, Computerland offered Janet the choice of (1) paying $150 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 6% interest for 18 months in equal payments.
Item10
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points
eBookPrintReferencesCheck my workCheck My Work button is now enabledItem 10
Challenge Problem 10-37 (Algo) [LU 10-1 (2)]
Janet Foster bought a computer and printer at Computerland. The printer had a $860 list price with a $100 trade discount and 2/10, n/30 terms. The computer had a $4,020 list price with a 25% trade discount but no cash discount. On the computer, Computerland offered Janet the choice of (1) paying $150 per month for 17 months with the 18th payment paying the remainder of the balance or (2) paying 6% interest for 18 months in equal payments.
a. Assume Janet could borrow the money for the printer at 6% to take advantage of the cash discount. How much would Janet save? (Use 360 days a year. Round your answer to the nearest cent.)
b. On the computer, what is the difference in the final payment between choices 1 and 2? (Round your answer to the nearest cent.)
a) Janet would save $17.20 - $5.60733 = $11.59 by borrowing the money for the printer at 6% to take advantage of the cash discount. b) , the difference in the final payment between choices 1 and 2 is $1,107.60.
How to answer the aforementioned questionsa. The cash discount on the printer is calculated as 2% of the list price:
Cash discount = 2% * $860 = $17.20
Using the formula:
Interest = Principal * Rate * Time
Principal = Amount borrowed = List price - Cash discount = $860 - $17.20 = $842.80
Rate = 6% per year = 6%/100 = 0.06
Time = 30 days (since the terms are 2/10, n/30)
To convert the interest to a 360-day basis, we use the formula:
Interest = Principal * Rate * (Time/360)
Interest = $842.80 * 0.06 * (30/360) = $5.60733
Therefore, Janet would save $17.20 - $5.60733 = $11.59 by borrowing the money for the printer at 6% to take advantage of the cash discount.
b. Choice 1 for the computer involves paying $150 per month for 17 months, with the 18th payment paying the remainder of the balance. Choice 2 involves paying 6% interest for 18 months in equal payments.
For choice 1:
Remaining balance = List price - (17 * Monthly payment)
Remaining balance = $4,020 - (17 * $150) = $4,020 - $2,550 = $1,470
For choice 2:
Interest = Principal * Rate * Time
Principal = Amount borrowed = List price = $4,020
Rate = 6% per year = 6%/100 = 0.06
Time = 18 months
To convert the interest to a 12-month basis, we use the formula:
Interest = Principal * Rate * (Time/12)
Interest = $4,020 * 0.06 * (18/12) = $362.40
The final payment difference between choices 1 and 2 is:
Final payment difference = Remaining balance - Interest
Final payment difference = $1,470 - $362.40 = $1,107.60
Therefore, the difference in the final payment between choices 1 and 2 is $1,107.60.
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What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 and one-half feet, width of 24 feet, and height of 6 feet. Use the formula A = one-half b h to find the area of the base. Use the formula A = b h to find the area of the base. Use the formula V = B h to find the volume of the prism. The volume of the prism, V is (114) (6) = 684 feet cubed. The volume of the prism, V is (228) (6) = 1,368 feet cubed.
The volume of the prism is 1368 cubic feet.
We have,
The three steps that should be taken to calculate the volume of the prism are:
- Use the formula A = b h to find the area of the base, where b is the length of the base and h is the width of the base.
For a rectangular prism, the base is a rectangle, so the formula is:
A = length x width.
- Use the formula V = B h to find the volume of the prism, where B is the area of the base and h is the height of the prism.
For a rectangular prism, the formula.
V = length x width x height.
- Substitute the given values into the formulas and solve for the volume. For the given rectangular prism with a length of 9 and one-half feet, a width of 24 feet, and a height of 6 feet, we can find the volume by using the formula V = B h.
First, we find the area of the base by using the formula:
A = length x width:
A = (9.5 ft) x (24 ft)
= 228 sq ft
Next, we use the formula V = B h to find the volume:
V = (228 sq ft) x (6 ft)
= 1368 cubic feet
Therefore,
The volume of the prism is 1368 cubic feet.
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HELP PLEASE I NEED HELP
Answer:
2nd choice. -a^3 - 8ab^2
Step-by-step explanation:
(3a^3b - 4ab^2 + 5ab) - (4a^3b + 4ab^2 + 5ab)
Distribute the minus sign and take out the parenthesis.
3a^3b - 4ab^2 + 5ab - 4a^3b - 4ab^2 - 5ab
Combine like terms.
3a^3b - 4ab^2 -4ab^2 - 4ab^2 + 5ab - 5ab
-1a^3b - 8ab^2
(will give brainly if possible)
What is the area of the image of the rectangle under this transformation?
The area of the image of the rectangle under the transformation is 10 square units
Calculating the area of the image of the rectangle under the transformation?From the question, we have the following parameters that can be used in our computation:
Matrix transformation: [tex]\left[\begin{array}{cc}-7&-2\\6&12\end{array}\right][/tex]
And, we have rectangle plotted on the graph
The transformation is a rigid transformation
This means that the area of the rectangle would be the same before and after the transformation
From the graph, the side lengths of the rectangle are
Length = 2
Width = 5
So, we have
Area = 2 * 5
Evaluate
Area = 10
Hence, the area of the image of the rectangle under the transformation is 10 square units
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The time, t, required to drive a certain distance varies inversely with the speed r. if it takes 7 hours to drive the distance at 55 miles per hour, how long ill it take to drive the same distance at 65 miles per hour, how long will it take to drive the same distance.
A. about 6.25 hours
B. about 385.00 hours
C. about 5.92 hours
D. about 3.21 hours
Option C. It t will take approximately 5.923 hours to drive the same distance at 65 miles per hour.
How to solve for the time takent = k / r
where k is the constant of variation.
First, we need to find the constant of variation, k, using the given information:
t = 7 hours when r = 55 mph
7 = k / 55
To find k, multiply both sides by 55:
k = 7 * 55 = 385
Now that we have the constant of variation, we can find the time it will take to drive the same distance at 65 mph:
t = k / r
t = 385 / 65
t ≈ 5.923 hours
So, it will take approximately 5.923 hours to drive the same distance at 65 miles per hour.
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Find the value of x.
69°
138°
X
x = 0
Answer:
x = 106
Step-by-step explanation:
You want the measure of the unknown angle (x°) in the quadrilateral with angles 47°, 138°, and 69° given.
Angle sumThe sum of angles in a quadrilateral is 360°, so the measure of x is ...
x = 360 -47 -138 -69 = 106
Angle x° is 106°.
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Complete the statement: triangle AED~triangle ___
Answer: AE=10, AD=14, x=5, BC=36, DE=52
Step-by-step explanation: finding x
4x-32=2(3x-21) || 4x-32=6x-42 || 10=2x || 5=x
10 00
Taking the square root of a number technically results in two solutions.
For example, the square root of 16 is ____ or ___ because ___ = 16 and ____ = 16
Complete sentence is,
The square root of 16 is 4 or - 4 because 4² = 16 and (- 4)² = 16
We have to given that;
Taking the square root of a number technically results in two solutions.
Here, The number is,
⇒ 16
Take square root as;
⇒ √16
⇒ ± 4
Since, 4² = 16
And, (- 4)² = 16
Thus, We get;
the square root of 16 is 4 or - 4 because 4² = 16 and (- 4)² = 16.
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nneed answer and explanation for this
Answer:
276.460 mi²
Step-by-step explanation:
You want the surface area of a cylinder with radius 4 mi and height 7 mi.
AreaThe area of a cylinder is given by the formula ...
A = 2πr(r +h)
A = 2π(4 mi)(4 mi +7 mi) = 88π mi² ≈ 276.460 mi²
The area of the cylinder is about 276.460 square miles.
__
Additional comment
The surface area is the sum of the areas of the two circular bases and the lateral area. The lateral area is the product of the cylinder height and circumference. These are combined in the formula given.
<95141404393>
A special safe lets you choose from 5 symbols for a 3-symbol-long pass code. You may enter a symbol any number of times. How many potential pass codes are there? 10 35 60 125
There are 35 potential pass codes. The Option B.
How many potential pass codes can be created?A pass code means string of characters used as a password to gain access to a computer or smartphone.
To get number of potential pass codes, we will combinations formula with repetition [tex](n + r - 1)[/tex] choose r.
n = number of options
r = length of the pass code.
The number of potential pass codes is:
= (5 + 3 - 1) Choose 3
= 7 Choose 3
= (7 x 6 x 5) / (3 x 2 x 1)
= 210 / 6
= 35.
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Find the expected value of the winnings don a game that has the following payout probability distribution
The expected value of the winnings in this game is $1.23.
We have,
The expected value of a random variable is the sum of the products of each possible outcome and its probability.
In this case, the random variable is the winnings from the game and the payout probability distribution specifies the probabilities associated with each possible payout.
The expected value of the winnings is found by multiplying each payout by its probability and summing the products.
Expected value = (0)(0.50) + (1)(0.25) + (2)(0.13) + (4)(0.06) + (8)(0.06)
= 0 + 0.25 + 0.26 + 0.24 + 0.48
= 1.23
Therefore,
The expected value of the winnings in this game is $1.23.
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5x + 7 =-13 what is x
Answer:
-4
Step-by-step explanation:
5x=-13-7
5x=-20
x=-20/5
x=-4
Answer:
5x+7=-13
5x=-13-7
5x=-20
x=-20 divide by 5
x=-4
The approximate land areas of the seven continents are listed in the table below.
Continent Area (in sq. miles)
Africa
Antarctica
Asia
Australia
Europe
North America
South America
11.7 million
5.4 million
17.3 million
3.3 million
3.8 million
9.4 million
6.9 million
What is the approximate mean of the land areas of the seven continents?
O 8.3 million
O57.8 million
O9.6 million
31.5 million
Answer: 8.3
Step-by-step explanation: Add all the numbers together, 11.7+5.4+17.3+3.3+3.8+9.4+6.9 equals 57.8 BUT WAIT! We aren't done, we have to divide the answer by the sum of all answers, so since there are 7 numbers we are adding together, we divide by 7, so 57.8 divided by 7 equals 8.3 (which is rounded to the nearest tenth) and theres your asnwer. Hope this helps!
People are invited to compete to be a contestant in a television quiz show.
Here are some possible outcomes for the person who is chosen.
A: The contestant is a woman over 25 years old. B: The contestant is a man.
C: The contestant is 21 years old. D: The contestant is a 30-year-old man.
a List the possible pairs of mutually exclusive outcomes.
b List three of the outcomes that are all mutually exclusive.
c What can you say about the probabilities of B and D?
a) The possible pairs of mutually exclusive outcomes are given below:
A and B
A and C
A and D
B and C
B and D
C and D
b) The Three of the outcomes that are said to be all mutually exclusive are:
A (The contestant is a woman over 25)B ( The contestant is a man.)C (The contestant is 21 years old )c) The probability of having B and D is written as P(B or D) = P(B) + P(D)
What is the probability?Mutually exclusive events cannot happen at the same time, like rolling a kick the bucket and getting a 1 and a 2. In this case, there are four conceivable results: A, B, C, and D, a few of which we commonly select.
For example, If A is the outcome, C or D cannot be. To find mutually exclusive pairs, we check which outcomes cannot occur together. A and B are mutually exclusive because they cannot both be true.
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GEOMRETY HELP ANY THING HELPS
(3) The linear equation is y = 1/3x + 1
(4) The solution to the system is (-1, -1/2)
(5) The factored expression of 45x² + 30x - 40 is 5(3x - 2)(3x + 4)
(6) The factored expression of 4x² - 36 is 4(x - 3)(x + 4)
(7) The surface area is 176
(8) The volume is 144
Solving the linear relationsFrom the graph, we have the following points
(0, 1) and (-3, 0)
A linear relation is represented as
y = mx + c
So, we have
y = mx + 1
Using the other point, we have
-3m + 1 = 0
m = 1/3
So, we have
y = 1/3x + 1
Next, we solve graphically
To do this, we plot the graphs and write out the point of intersection
In this case, the intersection point is (-1, -1/2)
So, the solution is (-1, -1/2)
Factoring the expressionsHere, we have
45x² + 30x - 40
When factored, we have
45x² + 30x - 40 = 5(3x - 2)(3x + 4)
Also, we have
4x² - 36
When factored, we have
4x² - 36 = 4(x - 3)(x + 4)
Calculating the surface areasFor figure (8), we have
Surface area = 2 *(9 * 4 + 4 * 4 + 9 * 4)
Evaluate
Surface area = 176
Also, we have
Volume = 9 * 4 * 4
Evaluate
Volume = 144
Hence, the surface area is 176 and the volume is 144
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For which equations is 8 a solution? Select the four correct answers. x + 6 = 2 x + 2 = 10 x minus 4 = 4 x minus 2 = 10 2 x = 4 3 x = 24 StartFraction x Over 2 EndFraction = 16 StartFraction x Over 8 EndFraction = 1
ASAP ASAP ASAP ASAP.
The equations has 8 a solution are
x/2 = 16
x/8 = 1
x/2 = 8
x/8 = 1
To check whether 8 is a solution for an equation, we substitute x = 8 into the equation and see if it satisfies the equation. If it does, then 8 is a solution; otherwise, it is not.
Substituting x = 8 into each equation, we get:
1. x + 6 = 8 + 6 = 14 (8 is not a solution)
2. 2x + 2 = 2(8) + 2 = 18 (8 is not a solution)
3. 4x - 2 = 4(8) - 2 = 30 (8 is not a solution)
4. 10 = 10 (8 is not a solution)
5. 2x = 4 (8 is not a solution)
6. 3x = 24 (8 is not a solution)
7. 8/2 = 4 (8 is a solution)
83 8/8 = 1 (8 is a solution)
Therefore, the correct answers are:
x/2 = 16
x/8 = 1
x/2 = 8
x/8 = 1
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Find the area of the triangle with the given description. A triangle with sides of length 5 and 8 and include angle 79°.
The area of the triangle is 18.6 units²
Given data ,
Let the triangle be represented as ΔABC
Now , the sides of the triangle are
We can use the law of cosines to find the length of the third side of the triangle:
c² = a² + b² - 2ab cos(C)
c² = 5² + 8² - 2(5)(8)cos(79°)
c ≈ 9.05
Now, we can use Heron's formula to find the area of the triangle:
s = (5 + 8 + 9.05)/2 = 11.525
A = √(s(s-a)(s-b)(s-c))
A = √(11.525(11.525-5)(11.525-8)(11.525-9.05))
A ≈ 18.6
Hence , the area of the triangle is approximately 18.6 square units
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Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 24, measuring 50°. What is the measure of 27?
A. 130°
B. 45°
C. 35°
D. 145°
Answer:
130°
Step-by-step explanation:
<4=<8
180-50=130
