The owner of an automobile repair shop studied the waiting times for customers who arrive at the shop for an oil change. The following data with waiting times in minutes were collected over a one-month period. 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3 (a) Develop a frequency distribution using classes of 0-4, 5-9, 10-14, 15-19, and 20-24.
Answers
Answer:
Step-by-step explanation:
Developing a frequency distribution of the ungrouped data simply means creating a structure (table) for the data. It is a method of converting an ungrouped data into a grouped data for proper analysis of the data.
The table will contain the values, their frequency (this means the number of times individual values occurs based on the classes) and the tally.
Check the attachment for the table.
Given the ungrouped data 2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3. The total number of data collected is 20. From the frequency distribution table, it can be seen that the total frequency is 20 which shows that all the values have been catered for.
Related Questions
an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??
Answers
The automobile is 35 miles away from the airport
1) Which system of linear equations could the graph represent? A) y = x + 5 y = 2x + 4 B) y = 3x + 6 y = −4x + 8 C) y = −3x + 6 y = −x + 3 D) y = −2x + 6 y = −4x + 8
Answers
Answer:
A
Step-by-step explanation:
Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are two lines are graphed on the same coordinate plane.
And, the lines only intersect at the point (3,6).
Now, We know that;
When Point (3, 6) is lies on line then it satisfy the equation of lines.
Hence, By options;
a. x=3, y=6
Clearly, Point (3, 6) is lies on line.
e. y= x + 3, y= 2x
y = x + 3
y = 3 + 3
y = 6
Hence, Point (3, 6) is lies on line.
Thus, Correct systems of linear equations which represent the two lines are,
a. x=3, y=6
e. y= x + 3, y= 2x
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complete question:
Two lines are graphed on the same coordinate plane.the lines only intersect at the point (3,6).which of these systems of linear equations could represent the two lines?
a. x=3
y=6
b. x=6+y
y=3+x
c. y=3x-3
y= x-1
d. x=3+y
y=6+x
e. y= x+3
y= 2x
Solve |6k + 12| + 9=9 for k
Answers
6k+12=0
K=12/6= -2 or 2
Answer:
k= -2
Step-by-step explanation:
In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)
Answers
Answer:
Totally 6 people hate potatoesStep-by-step explanation:
Incase the figure is not clear
here, it is
⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h
⇒ h = 30 - 44 - 3 + 23
⇒ h = 53 - 47
h = 6
Hence, Totally 6 people hate potatoes
Answer: 6 students hate potatoes.
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
Set M represents the set of students that like mashed potatoes.
Set F represents the set of students that like French fried potatoes.
Set T represents the set of students that like Twice-baked potatoes.
H represents the number of students that hate potatoes.
3 liked all three styles
The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3
The number of students that like mashed and French fried potatoes only is 12 - 3 = 9
The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2
The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0
The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6
The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1
Since the total number of students is 30, it means that
0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30
24 + H = 30
H = 30 - 24
H = 6
How many different 12-letter arrangements can be made using the letters in the word indianapolis?
Answers
Answer:
764
Step-by-step explanation:
In the data set below, what is the upper quartile?
3344466889
Answers
Answer:8
Step-by-step explanation:
3 3 4 4 4 6 6 8 8 9
data in upper quartile section are 6 8 8 9
We therefore find the median of 6 8 8 9
The median is the upper quartile
Upper quartile=(8+8)/2
Upper quartile=16/2
Upper quartile=8
Six minus a number divided by 3 equals 8. What is the number?
Answers
Answer:
-18
Step-by-step explanation:
let n be the number
(6-n)/3 = 8
6-n = 24
6-24 = n
-18 = n
Answer:
The number is 30
Step-by-step explanation:
Six minus a number divided by 3 equals 8
x-6/3 = 8
x-6 = 8*3
x = 24 +6
x = 30
Round 0.378 to the place underlined digit 3
Answers
Answer:
0.38
Step-by-step explanation:
7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest
Answer:
0.40
Step-by-step explanation:
this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero
2 Points
You and your friend enter a drawing with 3 different prizes. A total of 12
people entered the drawing, and prizes are awarded randomly.
There are 1320 ways to award the prizes.
What is the probability that you win first prize and your friend wins second
prize?
O A
B.
10
1320
O O O O
C.
12
1320
D.
1320
Answers
creo que la respuesta es D
Answer:10/1320
Step-by-step explanation:
What does the graph of Ax)=-(x-3)* +11 look like?
A. opens downward with a vertex of (3, 11)
B. opens downward with a vertex of (-3, 11)
C. opens upward with a vertex of (3, 11)
D. opens upward with a vertex of (-3, 11)
Answers
Answer:
A. opens downward; vertex (3, 11)
Step-by-step explanation:
The leading coefficient is negative (-1), so we know the parabola opens downward.
The vertex in the form ...
A(x) = a(x -h)² +k
is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).
The vertex is (3, 11).
Given: m∠APC = 27°, m DC = 27° Find: m AB
Answers
Answer:
The unknown angle = 126°
Step-by-step explanation:
From angles in a triangle.
The total sum of angles in a triangle = 180°
Let the unknown angle be x
27 + 27 + x = 180
X = 180-27-27
X= 180-54
X = 126°
Answer: 81°
Step-by-step explanation:
m<p is a secant exterior angle which equals arcAB-arcDC divided by 2.
plug the numbers in and arcAB-27 / 2 =54 Arc AB is 27+54=81 degrees
1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?
Answers
Answer:
Su pago mensual sería de $9.06 (Espero que esto ayude)
Step-by-step explanation:
What is the mean (average) of the following data set? 3, 5, 7, 8, 9, 4, 2, 1, 3, 8 *
Answers
Answer:
5
Step-by-step explanation:
3+5+7+8+9+4+2+1+3+8=50
50/10=5
A table has an area of 12 li and a perimeter of 16 ft. What are the dimensions of
O
O
2 ft by 6 ft
2 ft by 8 ft
4 ft by 3 ft
4 ft by 4 ft
O
Answers
Your answer would be i'm pretty sure 2ft by 6 ft or 4ft by 3ft I am not positively sure but if I did my maths right then they should be our answer(s) not sure...still.
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answers
Answer:
Graph B
Step-by-step explanation:
The states that dropped out of the Union, became the __________________ States of America 58 POINTS!!!
Answers
Answer:
Confederate
Step-by-step explanation:
During the time that led up to the conflict known as the Civil War of America, the major cause of tension was slavery. Southern plantation owners and farmers fiercely advocated slavery because they helped with the harvest of crops and the overall southern economy. The northerners, however, resisted slavery, saying it was immorally and inhumanely wrong.
At the culmination of this tension, many southern states, led by Jefferson Davis (who later became the "president" of the Confederate states), decided to secede from the Union (break away) and establish their own entity, which they called the "Confederate States of America".
if I bought 6 apples and 1 pair for $2.00 HOW MUCH WAS EACH ITEMS COST?
Answers
Answer:
$6.00
Step-by-step explanation:
6 apples = 3 pairs
1 pair=$2.00
3 pair=
$6.00
A 6-sided die is rolled three times. What is the probability of rolling a 4 each time?
A 0.00463
B. 0.99537
C 0.16667
D. 0.00231
Answers
Answer:
a
Step-by-step explanation:
math
Verify that 1 + cos 2 theta / 2 cos theta = cos theta is an identity
Answers
Answer and Step-by-step explanation:
We want to verify that (1 + cos(2θ)) / 2cos(θ) = cos(θ).
Let's focus on the left side. Look at cos(2θ). This is an identity, so remember that cos(2θ) = cos²θ - sin²θ. Also, look at the 1. Remember that sin²θ + cos²θ = 1, so plug both of these expressions into our equation:
(1 + cos(2θ)) / 2cos(θ) =? cos(θ)
((sin²θ + cos²θ) + (cos²θ - sin²θ)) / 2cos(θ) =? cos(θ)
2cos²θ / 2cosθ =? cosθ
cosθ = cosθ
Thus, we have proved this is an identity.
Answer:
(1 + cos(2theta))/2cos(theta)
cos(2theta) = 2cos²(theta) - 1
(1 + 2cos²(theta) - 1)/2cos(thetal
2cos²(theta)/2cos(theta)
cos(theta)
Please help me!!! show work
Answers
Answer:x=8 or x=-2
Step-by-step explanation:
log4(x-6) + log4(x)=2
log4(x(x-6))=2
4^2=x(x-6)
4x4=x(x-6)
16=x^2-6x
Arrange the quadratic equation
x^2-6x-16=0
x^2+2x-8x-16=0
x(x+2)-8(x+2)=0
(x-8)(x+2)=0
x-8=0. x+2=0
x=8. x=-2
please help this is timed please!
Answers
Answer:
f/g(x) 1/x x=0
Step-by-step explanation:
f/g 1/x+2
x+2=0
-2 -2
x=-2
How to find the area of the seating area
Answers
Parallelogram area is base times height. Base of 14, height of 10,
Answer: A = (14 ft)(10 ft) second choice
Answer:
choice B
Step-by-step explanation:
You delete 1/8 of the messages in your email inbox. What percent of the messages did you delete
Answers
Explanation: I do not have any friends.
I don't have many friends to get messages in my email box
If the first term of an arithmetic sequence is 4 and the difference between con-
secutive terms is 5, what is the second term? The third term? The twelfth? The
eightieth? The nth?
Answers
Answer:third term=14 twelfth term=59
Step-by-step explanation:
first term=a=4
Common difference=d=5
Second term=4+5=9
Third term=9+5=14
Using Tn=a+d(n-1)
T12=4+5(12-1)
T12=4+5x11
T12=4+55
T12=59
Twelveth term=59
What’s the correct answer for this?
Answers
ANSWER: D
Isosceles Right Triangle has 3 angles: 90 degrees, 45 degrees and 45 degrees
Answer:
D
Step-by-step explanation:
It is isosceles (having two sides and angles congruent) and it is right will provide enough information to find all the angles of the triangles.
Divide the decimal 122.4 by 9
( 122.4÷9)
Answers
Answer:13.6
Step-by-step explanation:
122.4 ➗ 9=13.6
Ana has a rectangular garden with a width of 2.3 meters and a length of 2.8 meters. She makes the model below to help her determine the area of her garden. What is the area of Ana's garden?
Answers
Answer:
6.44 m2
Step-by-step explanation:
Factorise 2y^2 + y + 6xy + 9x - 3
Answers
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
Complete 12 for 10 points.
Answers
Answer:
5 minutes
Step-by-step explanation:
200+15=215
214/43=5
It moved up a total of 200 + 15 = 215 meters at 43 meters per minute
t = 215 m / (43 m/min) = 5 minutes
Answer: 5 minutes
What best determines whether a borrower’s interest rate on an adjustable rate loan goes up or down
Answers
Answer:
a market's condition
Step-by-step explanation:
edge 2021
Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
What is the interest rate?It is the cost of borrowing money.
Interest rate levels depend on the supply and demand of the money.
Supply and demand are a part of market conditions.
We see that,
An increase in demand for money will increase the interest rate.
A decrease in demand for money will decrease the interest rate.
Conversely,
An increase in the supply of money will decrease the interest rate.
A decrease in the supply of money will increase the interest rate.
Demand and supply are market conditions
Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.
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