A lawn mower company wants to show how much time a homeowner can save by using a ride-on lawn mower instead of a push lawn mower. The company collected data on the time (t minutes). The time also includes 5 minutes to set up the push lawn mower and 15 minutes to set up the ride-on lawn mower.
The equations for the best-fit lines for the data are shown below.
Answers
b. T
c. T
d. T
1.5 Acres 2 Acres
42.5 ( 1.5 ) + 15 = 78.75 | 42.5 ( 2 ) + 15 = 100
78.5 ( 1.5 ) + 5 = 122.75 | 78.5 ( 2 ) + 5 = 162
Related Questions
The number of hours of TV watched each week by 8 seventh grade students is shown below.
11, 7, 9, 3, 3, 8, 10, 5
a. What is the mean number of hours of TV watching?
b. Mean absolute deviation =
c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.
Answers
Answer:
a) 7 hours ; b) 2.5 hours ; c) look at explanation
Step-by-step explanation:
a)
The mean of a data set is what we usually refer to as the average. To find the mean, you add up all of the values and divide by the number of values.
So, to find the mean, you need to add all of the values (the "value" is the the number hours each student watched)
11 + 7 + 9 + 3 + 3 + 8 + 10 + 5
= 56
You have 8 seventh-grade students, so your number of values is 8.
Dividing the sum of the values by the number of values would then be:
56 / 8
= 7
So, your mean is 7.
---------------------------------------
b)
(A deviation is how much a value differs from a certain value. If a person was supposed to be 5 feet tall, and they were 6 feet tall, they would deviate 1 foot from the value of 5. If the person was 4 feet tall, they would also have a deviation of 1 foot.)
The mean absolute deviation is complicated. You probably want to set up two columns (or at least this is how I was taught to do it), the first column being the value (represented by x in the mean absolute deviation formula), the second column being the difference between the mean of the data set and the value (the mean is represented as x with a line over it).
∑ is the sum of the values of the second column.
To find the mean (remember, mean = average) of the deviations, you are going to add all of the deviations together, and divide by your number of values.
I'll write out the second column (the difference from mean) below:
| x - [tex]\frac{}{x}[/tex] |
4
0
2
4
4
1
3
2
if you add all of these values up, you will get 20; ∑ = 20
[ | | means absolute value--essentially the distance of the value from 0, so a negative number is written as a positive numbers; |-3| = 3 ; |3| = 3 ]
Now you will find the mean of your deviations. The sum of all deviations (∑) = 20. The number of deviations/the number of values is 8.
So, the equation of 20 / 8 will give us the absolute mean deviation.
20/8 = Mean Absolute Deviation
Mean Absolute Deviation = 2.5
Your Mean Absolute Deviation is 2.5 [hours] .
------------------------------------------------
c)
Now you are being asked to interpret what this 2.5 indicates. It means that each student has, on average, a difference of 2.5 hours of TV watched from the mean. The Mean Absolute Deviation gives us a sense of how spread out the values of a data set are. We know that a mean absolute deviation of 0 would indicate that all values of the set are exactly identical. A mean deviation of 100 would indicate that all of the values are drastically different. So, a mean deviation of 2.5 indicates that all of the values (each student's watch hours) are fairly similar.
Step-by-step explanation:
a)
The mean of a data set is what we usually refer
to as the average. To find the mean, you add
up all of the values and divide by the number of
values.
So, to find the mean, you need to add all of the
values (the "value" is the the number hours
each student watched)
11+7+9+3+3+8+10 + 5
= 56
You have 8 seventh-grade students, so your
number of values is 8.
Dividing the sum of the values by the number
of values would then be:
56 / 8
=7
So, your mean is 7.
Triangles A and B have vertical heights x cm and (x+3) cm respectively. The areas of Triangles A and B are 30cm² and 32cm² respectively. (a) Find, in terms of x, an expression for the base of: (i) Triangle A (ii) Triangle B (b) Given that the base of Triangle B is 4 cm less than the base of Triangle A, form an equation and show that it reduces to x² + 4x - 25 = 0 (c) Solve the equation and hence, find the height of Triangle B.
Answers
Answer:
Hi,
Step-by-step explanation:
Let say a the base of the triangle A and b the base of the triangle B.
[tex]a)\\\left\{\begin{array}{ccc}\dfrac{a*x}{2}&=&30\\\dfrac{b*(x+3)}{2}&=&32\\b=a-4\\\end{arraqy}\right.\\\\(i): a=\dfrac{60}{x}\\\\(ii): b=\dfrac{64}{x+3}\\\\b)\\\dfrac{64}{x+3}=\dfrac{60}{x}-4\\\\64x=(60-4x)*(x+3)\\\\4x^2+16x-180=0\\\\x^2+4x-45=0\\\\\Delta=16+4*45=196=14^2\\x=\dfrac{-4+14}{2}=5\ or\ x=\dfrac{-4-14}{2}=-9\ (impossible)\\So\ x=5,\ a=\dfrac{60}{5}=12, b=\dfrac{64}{5+3}=8\\\\Area\ of\ A=12*5/2=30\\Area\ of\ B=8*8/2=32\\\\Height\ of\ triangle\ B=x+3=5+3=8.\\[/tex]
A health-food producer has 250 samples of a new snack to distribute in the mall. The producer has to keep at least 50 samples for display in the health-food store for the product launch. How long will the samples last if consumers are taking the samples at a rate of 25 every hour?
Answers
Answer:8 hours
Step-by-step explanation: There are 250 samples, but there are only actually 200, since 50 need to be on display. That means that they will last 200/25=8 hours.
HELP MEEEE!!!!!!!!!!!!!!!!!
Answers
9*(8+4)/4=27
HELP
MMEEE!! i will give brainly
Answers
Answer:
the answer is 28 in
hope this helps
HELP ME ⟟ WILL BRAINIEST
Answers
Answer:
I think the volume is 31.5.
Step-by-step explanation:
Since you didn't include the original numbers for the base area, I just square rooted 9 because there's no other number other than 1 that you would multiply to get 9. Since volume is L*W*H I put 3 for the w and h (because 3*3 is 9) and then I multiplied 9 by 3.5 or 3 and 1/2 (the same thing) to get 31.5. So the volume is 31.5.
Answer:
I think the volume is 31.5.
Hope this helps bro
Step-by-step explanation:
The amount of sports drink in a cooler during practice is modeled by the equation y = 648 -24x
y = the number of ounces in the cooler after practice
x = the number of players at practice who take drinks from the cooler
What does the SLOPE mean?
Answers
A warehouse holds 94,896 bottles of water. There are the same number of bottles in each
aisle. How many aisles could there be?
Select all the possible numbers.
4
8
9
2
Submit
Answers
First to finish 1-4 gets Brainliest
Answers
Answer:
No explanation, THIS IS ALL ABOUT SPEED
*speedrunning intensifies*
1.
B, 8x + 12
2.
G, she subtracted before adding
3.
C, 3x + 6
4.
F, Student 1 and 4
Answer:
1. B
2. G
3. C
4. F
Step-by-step explanation:
1. Soln:
4(2x+3)
=4*2x+4*3
=8x+12 ans.
2. Soln:
14-8/2+3*4
=14-4+3*4
=14-4+12
=26-4
=22 ans.
3. Soln:
=x+x+x+1+1+1+1+1+1+1+1-1-1
=3x+8-2
=3x+6 ans.
ill give brainly and 20 points
Answers
what does x equal in this y=2x + 3
Answers
Answer:
y=bh
Step-by-step explanation:
It depends on your y, assuming that you're trying to find the x-intercept;
y = 0,
x = -3/2
I need an answer. What is 485-352?
Answers
Answer:
133
Step-by-step explanation:
The bearing of point B from point A is 034°.
Find the bearing of point A from point B.
Answers
Step-by-step explanation:
180 minus 34 degrees gives 146° not that sure
The vertices of figure A are located at (2, 2), (4, 2), (4, 4). The transformation f(x, y) = (½x, ½y+2) transforms figure A into figure B. Which of the following sets of transformations would transform figure B back into figure A?
A dilation by a factor of 2 centered at the origin, followed by a translation down 4 units.
A translation down 4 units, followed by a dilation by a factor of 2 centered at the origin.
A dilation by a factor of ½ centered at the origin, followed by a translation up 2 units.
A dilation by a factor of 2 centered at the origin, followed by a translation down 2 units.
Answers
Answer:
b
Step-by-step explanation:
because its a reasonal answer if you do the math
what’s the answer to this?
X/3+1 = 6
Answers
Answer: x=15
Step-by-step explanation:
x/3+1= 6
Step 1: Subtract 1 from both sides (always do inverse operations with the number, not the x term(s))
x/3 + 1-1 = 6-1
x/3= 5
Step 2: Now we need to isolate x (get it on its own). To do this, we must move the 3 to the other side, which we will do by multiplying the 3 and the 5 (as since the 3 was used for divisision, its inverse operation is multiplication).
x/3 = 5
x = 5x3
x= 15
Step 3: Check by using PITA, or "Plugging In the Answers"
We came to the conclusion that x=15. Now, we can "plug in", or substitute the x in the equation for 15:
x/3 + 1= 6
15/3 + 1= 6
5+ 1= 6
6=6
Correct ✔️
Answer:
X = 24
Step-by-step explanation:
3 + 1 = 4
X/4 = 6
Multiply both sides by 4
X = 24
To the nearest thousandth, what is the decimal form of 9/14
Answers
Answer:
.643
Step-by-step explanation:
just put it in the calc and round
Answer:
0.6429
Step-by-step explanation:
[tex]9\sqrt{14} = 0.64285\\round up to nearest thousandth = 0.6429[/tex]
two semicircles are used to make the shaded shape below one semiciricle has a diameter of 16 cm and the other has a diameter of 20 cm work out the area of the shaded shape
Answers
I do not have a diagram so this may be incorrect, but find the the area of the 16 diameter semicircle, find the area of the 20 diameter semicircle, and then add them both together.
Formula: A=1/2pir^2; Total area=A1+A2
Step one: A1=(1/2)pi(8^2)
A1=1/2pi(64)=32pi
Step two: A2=(1/2)pi(10^2)
A2=1/2pi(100)=50pi
Step three: 50pi+32pi= 82pi≈257.6106
Keiko surveyed people with cell phones.
Ages in years = a
Texts they send per day = t
He drew a best-fit line and determined its equation.
Evaluate how many texts a 15 year old would send each day according to Keiko's trend line equation.
Answers
Answer:
67.69
Step-by-step explanation:
You have your equation, t = -1.63 a + 92.14
a = age
a = 15
if you update your equation to fill in for a you get:
= -1.63 (15) + 92.14
-1.63 x 15 = -24.45
-24.45 + 92.14 = 67.69
67.69
Answer:
67.69
Step-by-step explanation:
You have your equation, t = -1.63 a + 92.14
a = age
a = 15
if you update your equation to fill in for a you get:
= -1.63 (15) + 92.14
-1.63 x 15 = -24.45
-24.45 + 92.14 = 67.69
67.69
Answer with full explanation and step by step
brainly answer to person who answers fully first
Answers
Answer:
A. $181
Step-by-step explanation:
First get rid of the parking fee:
15*3 = 45
588 - 45 = 543
Then solve per night:
543/3 = 181
Have a great day! :)
Answer:
A, 181
Step-by-step explanation: first multiply 3 by 15 to get 45
Then subtract 45 from 588 to get 543
finally, divide 543 by 3 days to get $181
Last year, the Good Foods Cereal Company produced 753,295 boxes of cereal. The company
produced the exact same number of boxes of each type of cereal. How many different types
of cereal could the Good Foods Cereal Company make?
Select all the possible numbers.
10
9
4
5
Answers
Answer:
5
Step-by-step explanation:
The only way to get a whole number is to divide 753295 by 5.
I'm trying to find .580 (only the 80 is repeating in the decimal) rewritten as a simplified fraction. thanks in advance, this one is really tricking me up.
Answers
Answer:
Step-by-step explanation:
assuming its repeating as .580808080 etc your answer would be 115/198 :)
Answer:
115/198
Step-by-step explanation:
.580 = .5808080
.5808080 = x
5.808080 = 10x
58.08080 = 100x
580.8080 = 1000x
1000x - 10x = 575
575 = 990x
x = 575/990
Simplify:
575/990 = 115/198
Hope this helps :)
What possible transforms are shown below?
1. A rotation of 90°
2. A reflection in the y-axis
3. A reflection in the x-axis
4. A translation 3 units to the left
Answers
Answer:
1. A rotation of 90°.
2. A reflection in the y-axis.
4. A translation of 3 units to the left.
Type a digit that makes this statement true.
64,638,7
3 is divisible by 3.
Answers
Answer:
The digit that makes the statement true is 2...hope this helps:)
Answer:
The digit is two.
Step-by-step explanation:
It is very simple, to find if a number is divisible by 3 specifically, you need to add all the digits together. All the digits together added up to 37, which is not divisible by 3. But if you make the missing digit 2 then the digits add up to 39 which is divisible by 3.
Select the table that represents a linear function. (Graph them is if necessary)
Answers
PLEASE HELP ME MY BRIAN IS LIKE PUTTY 50 points for correct answerr
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
Plot triangles PQR and P'Q'R' on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer.
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis.
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer.
Answers
Answer:
Part A :
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' is divided by 3.
Part B :
P"(-1,2), Q"(0,3), R"(1,0)
Part C :
Triangle PQR and P"Q"R" are not congruent because congruent means equal and similar but triangle PQR and P"Q"R" are proportional because they are rational to each other but do not have the same measures of sides but the angles are congruent.
This is the graphing of the triangle.
part b: p” -> (-1,2) q” -> (0,3) r” -> (1,0)
Hi pls answer correctly thank you :)
Answers
Answer: The answer is C.
Step-by-step explanation: This is because reflecting a point from Quadrant 1 over the y-axis always gets you a result from Quadrant 2.
The answer is c
The answer is c
Match these equation balancing steps with the description of what was done in each step.
Answers
Answer:
1. C 2. A 3. B
Step-by-step explanation:
Step 1: 12x - 6 = 10 divided by 2 is 6x - 3 = 5
Step 2: When you add three to the left side of the equation the negative 3and positive 3 cancel out and when you add three to the right side of the equation 5 + 3 = 8
Step 3: multiplying both sides by 1/6. 1/6 is the reciprocal of 6 so they cancel out. 1/6 times 8 is 8/6 which condenses to 4/3 in simple terms.
one step equation Y/1.8=80 what’s the answer?? ( with steps )
Answers
Answer:
5) Y = 144
Step-by-step explanation:
[tex]\frac{Y}{1.8} = 80[/tex]
Bring 1.8 from the numerator to the denominator and change the sign from divide to multiply. Also, the 1.8 switches sides so the equation looks like:
Y = 80*1.8
Y = 144
Hence, Y is equal to 144.
Hope this helps!!!
Please mark me as brainliest!!!
X1.8 X1.8
Y = 144
Not entirely sure if this is correct
Nike Super Sale !!!22 POINTS!!!
I can calculate the percent increase, percent decrease, percent off, markup, markdown, sales price, and taxes using real world scenarios.
Please help ASAP this is part of my final which is DUE TOMORROW (this is a repost)
Answers
Answer:
1. 136.709%
2. $10.4128
3. $ 45.556
4. 17.044%
Hope this helps and I'm not too late!
P.s if you do fail this ain't on me /hjk
can you help please help
Answers
Answer:
90 degree rotation
Step-by-step explanation:
pls give brainleist
:)