The graph below shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answers
Answer:
(a) y intercept is approximately 4.3
(b) [tex]y = 1.5x+4.5[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a) The y intercept
This is the point where [tex]x =0[/tex]
From the attached graph; By observation
[tex]y \approx 4.3[/tex] when [tex]x =0[/tex]
So, the y intercept is approximately 4.3
Solving (b): The equation of best fit.
First, calculate the slope of the line using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (9,18)[/tex]
[tex](x_2,y_2) = (8,16.5)[/tex]
So:
[tex]m = \frac{16.5- 18}{8 - 9}[/tex]
[tex]m = \frac{-1.5}{- 1}[/tex]
[tex]m = 1.5[/tex]
The equation is then calculated using:
[tex]y =m(x - x_1) + y_1[/tex]
Where: [tex]m = 1.5[/tex] and [tex](x_1,y_1) = (9,18)[/tex]
[tex]y = 1.5(x - 9) + 18[/tex]
[tex]y = 1.5x - 9*1.5 + 18[/tex]
[tex]y = 1.5x - 13.5 + 18[/tex]
[tex]y = 1.5x+4.5[/tex]
Related Questions
what the formula of a triangle?!
Answers
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation:
Use Guauss-jordan elimination to solve the following linear system.
5x - 2y = -2
-x + 4y = 4
Answers
Answer:
wdym
Step-by-step explanation:
The radius of a circle is 4 centimeters. What is the circle's area?
Answers
The formula to find area of a circle is A = π r².
The radius is 4, so we can plug that in.
A=π4²
4 squared is 16.
A=π(16)
We can use 3.14 for pi.
A=3.14*16
A=50.24
So the area of this circle is 50.24 cm²
---
hope it helps
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which function has the largest maximum? (1 point)
Answers
Answer:
(4, -7) thats the largest maximum
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?
A 13b + 2t = 327.50 6b + 4t = 142.96
B. 13b + 4t = 142.96 6b + 2t = 327.50
C 4b + 13t = 327.50 2b + 6 = 142.96
D 13b + 4t = 327.50 6b + 2t = 142.96
Answers
Answer:
A
Step-by-step explanation:
because mathematics of mathatics equals mathematics
Juan deposited $450 in an account that earned 7.5% simple interest.
- He did not make additional deposits and he didn't withdraw any money from the account.
What was the balance in Juan's investment account after 3 years?
Answers
Explanation:
1.2694*u+e+ieiei=3938383
Answer:
$551.25
Step-by-step explanation:
$450 x 7.5% = 33.75
33.75 x 3 = 101.25
101.25 + 450 = 551.25
Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40
Answers
answer:
i believe 28
Step-by-step explanation:
The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fill the tank? (1 gallon = 231 in.3)
Answers
Answer:
10.8 gallons
Step-by-step explanation:
First change everything to inches:
2.75 ft = 33 in
1.5 ft = 18 in
Volume of tank = lwh = (33)(18)(7) = 4158 in³
The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³
Now find out how much 2494.8 in³ is in gallons:
231 in³ = 1 gallon
1 in³ = 1/231 gallons
2494.8 = (1/231)(2494.8) gallons = 10.8 gallons
Factor each completely.
2x3 - 9x2 + 9x
Answers
Answer:
x(2x−3)(x−3)
Step-by-step explanation:
2x^3−9x^2+9x
= x(2x−3)(x−3)
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?
Answers
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00
now we still know, that
a
=
508
−
c
so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083
now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083
60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508
−
c
so
a
=
388
Pls help me , ASAP , TIA
Answers
Answer:
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
What is the shape of the cross-section formed when a cone intersects a plane as shown in the drawing
Answers
Answer:
triangle
Step-by-step explanation:
only look at the cut off part
Answer:
I believe that the shape is formed to be a circle
One amoeba weighs about 1.5×10^-9
grams. About how many grams would a quantity of 5×10^12 amoebas weigh?
Answers
9514 1404 393
Answer:
7.5×10^3 grams
Step-by-step explanation:
Your calculator can tell you the product of the weight of each times the number of them. It is ...
(1.5×10^-9)(5.0×10^12) = 7.5×10^(-9+12) = 7.5×10^3 . . . grams
About 7.5 kg.
Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answers
Answer:
The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring
Step-by-step explanation:
Let
Null hypothesis : H0 : μ1 ≥ μ2
Alternate hypothesis : Ha : μ1 < μ2
next calculate the test statistic
t = -2.312
calculate the P-value
p-value = T.DIST ( t ,df ) ( excel function )
= 0.0270
Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis
Attached below is the detailed solution
jay spent 1/2 of his money on pencils. He had $2.50 left.
How much money did he start with?
Answers
Answer:
$5
Step-by-step explanation:
You are going on a road trip over a distance of 3000 miles with three friends. The car consumes 6 gallons of gas per 150 miles and gas costs $1.20 per gallon. If you want to split the cost of gas evenly between the four of you, how much should each of you pay? Please show step by step. Please HELP!! Answer soon.
Answers
Answer:
$54
Step-by-step explanation:
[3,000 / 100] x 6 = 180 - Liters of gas will be used on a 3,000 Km trip.
180 x 1.20 = 216 - total cost of gas over 3,000 Km trip.
216/4 = $54 - share of each one of the 4 people
the picture has the question
Answers
CD has a diameter of F
Determine the missing side length
Answers
Hope this helps the answer is 97!
Solve for x 103 (3x+4)
Answers
X=309 over 412
X=3 over 4
Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)
Answers
Answer:
6,656 rabbits
Step-by-step explanation:
Population of rabbits = 26
Population doubles every 30 days
how many rabbits will be on the farm after 240 days?
t = 240 days / 30 days
= 8
Future Amount = 26(2)^t
=26(2)^8
= 26(256)
= 6,656
Therefore, the population of rabbits on the farm after 240 days is 6,656
What is the volume of the composite figure? ASAP PLEASE!!!!
Answers
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
A company has recently been hiring new employees. Today the company has 26% more employees than it did a year ago. If there are currently 56,700 employees, how many employees did the company have a year ago?
Answers
Answer:
I am pretty sure 237
Step-by-step explanation:
Simplify 2a + 14 - 5a - 7 + 8a
Answers
Step-by-step explanation:
2a -5a +8a.
2a +8a -5a
10a -5a = 5a
14-7=7
Answer=5a+7
so you need to collect like terms so
2a-5a+8a= 5a
5a+14-7
Then 14-7=7
The answer is
5a+7
PLZ HELP ASAP!!! 9 equals x over 2 + 2
Answers
just get x alone
Pls help because I’m not sure
Answers
B
Step-by-step explanation:
A number machine is shown below.
INPUT
ADD 9
MULTIPLY
BY 5
OUTPUT
a) Calculate the INPUT when the OUTPUT is 40.
[2]
b) Calculate the OUTPUT when the INPUT is n.
+
[2]
Answers
helppppppppppppppppp
Answers
Answer: x smaller than or equal to -4
Which statement is best supported by the Information in the box
plots?
A The median of the data for Student 1 is less than the medianof the data for Student2
B. The interquartile range of the data for Student 1 is equal to the
interquartile range of the data for Student 2
C. The range of the data for Student 1 is greater than the range
of the data for Sludent 2
D. The lowest grade for Student 1 is greater than the lowest
grade for Student 2
Answers
Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]
Answers
Answer:
a. 0°C = [tex]32^{o}[/tex]F
b. 95°F = [tex]35^{o}[/tex]
Step-by-step explanation:
a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;
OF = (1.8 x °C) + 32
= (1.8 x 0) + 32
OF = 32
Thus the temperature is [tex]32^{o}[/tex]F.
b. 95°F in degrees Celsius can be determined by;
°C = ( °F - 32) ÷ 1.8
= (95 - 32) ÷ 1.8
= 63 ÷ 1.8
°C = [tex]35^{o}[/tex]
Thus the temperature is [tex]35^{o}[/tex]C.