Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Main title on the graph is Sweater Sale. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answers
Solution:
The description about the graph is:
Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.
Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.
If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.
Equation of line passing through two points,[tex](x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })[/tex]
Equation of line passing through (12.5,6) and (15,4) is given by
[tex]\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}[/tex]
[tex]2x-25=-2.5+15[/tex]
[tex]2x+2.5y=40[/tex]
[tex]20x+25y= 400[/tex]
[tex]4x+5y=80[/tex]
Part B: Description of line of best fit
A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.
(C) 4 x + 5 y=80
5 y= - 4 x +80
[tex]y=\frac{-4x}{5}+16[/tex]
Slope [tex]= \frac{-4}{5}[/tex], Y- intercept = 16
Related Questions
Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!
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Answer: A 5
Step-by-step explanation:
20% * 25
= 0.2 * 25
= 5
She can expect to hit the bullseye 5 times.
Answer:
A. 5
Step-by-step explanation:
Regina throws 25 darts and hits the bullseye 20% of the time. So we would set up the equation as 0.20*25 (as we are looking for 20% of 25 and of means multiplication and 20% is 0.20). 0.20*5=5 so she can expect to hit the bullseye 5 times. Therefore, A is the correct answer choice.
Can someone help me with this?
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Answer:
Shaded area is 55 units²
Step-by-step explanation:
Ignoring the white cutout, we have a rectangle of length 10 and width 7 (count the squares in each direction). The area of this larger rectangle is
(10 units)(7 units) = 70 units². The white area that we previously ignored has dimensions 3 by 5 units, and thus an area of 15 units²
Subtract the latter from the former, obtaining the net area
70 units² - 15 units² = 55 units²
someone help me with my math...no bias answers, please
Answers
Answer:
61.8m^2are
Step-by-step explanation:
3 times 9 = 27
you multiply that two more times because there are 3 of them. So now we have 54 m.
Now we find the area of the triangles
area = 1/2 base times height
1/2(2.6) * 3
1 * 2.6 * 3/2
2.6 * 3/2
7.8/2
3.9
3.9 times 2 because there two triangles
7.8 + 54 = 61.8 m^2
each bag of cereal should contain 350 grams. a box was selected at random and weighed 342 grams. what is the percent error?
Answers
Answer:
the percentage error is 0.02286 x 100% = 2.286%.
Step-by-step explanation:
Attachment Below- help would be appreciated! :)
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Answer:
A, B, C, E, and F
To solve this problem, you should make sure to find the equation first. Start by doing rise/run with your two given points on the graph. From the point (-1,1) you rise 4 and then run 16 over to the point (3,2). That gives us a slope of 4/16 which can then be simplified to 1/4. That means that letter F tells us the equation of the line is y= 1/4x + 5/4.
From there you want to check your points, (3,2) and (-1,1). The first number is always x and the second number is always y. So you plug the point numbers into the equation we just found to see if they work. In the photos I inserted are how to do this step.
Once you have checked your points and you know for sure they're solutions, that gave you letters A and B. Since the point (1, 3/2) is also given in one of the answers we should check that point as well. (Also done in one of the photos) Since the point came out correctly that gives us letter C and also tells us there is more than 2 solutions. This means that letter E is also correct.
Hope this helped!
what’s (6x10^3) / (3x10^2)
express your answer in scientific notation
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May someone please help me, please? This is about exponents by the way. About 5 questions I need help with.
Answers
Answer:
16=16^1
1/4=(1/2)^2
25= 5^2
49=7^2
16=4^2
Step-by-step explanation:
I REALLY need help with this worksheet. it is due tonight and I really don't understand it
Answers
Answer:
Step-by-step explanation:
Basically, try finding the x and y intercept for each problem and then make those your coordinates!!
Step-by-step explanation:
1) So to answer these questions first plot the "b" value (which in number 1's case would be 3).
2) Go up three spaces on the graph. and that should leave you at the point (0,3) Plot this point.
3) Now go down 3 (-3x) and go over one point to the right(this should put you at point (1,1). Plot this point.
4) Move on to the next equation in number one. Go up three spaces on the graph.
5) Go down one and over one until you find that you have plotted a point in which both equations intercept (this point would be (0,3).
6)Repeat this process for the rest of the problems
Expand and simplify these 12 questions
Answers
Answer:
1. 3x+15
2. 4x+36
3. 4x+36
4. 6x-2
5. 5x-10
6. 4x-24
7. 2x+1
8. 6x+21
9. 4x+16
10. 4x+10
11. x+4
12. 5x-10
To expand an equation, you can apply the distributive property
==> The distributive property, sometimes known as the distributive property of multiplication, tells us how to solve certain algebraic expressions that include both multiplication and addition.
CREDIT: prepscholar.com ^ for the definition of the distributive property
Dont guess!
I will mark brainliest if its correct!
Answers
Answer:
J) V = (20 x 16 x 8) + (20 x 42 x 8)
P.S. the volume is 9280 units³
Step-by-step explanation:
The following data points represent the number of guests at Hunter's Ribeye BBQ House each day since they opened.
96,279,255,254,75,211,271,291
Using the data, create a histogram.
I REALLY NEED HELP
Answers
Carli’s class built some solar-powered robots. They raced the robots in the parking lot of the school. The graphs below are all line segments that show the distance d, in meters, that each of three robots traveled after t seconds.
1) Each graph has a point labeled. What does the point tell you about how far that robot has traveled?
Robot A:d =
Robot B:d =
Robot C:d =
2) Carli said that the ratio between the number of seconds each robot travels and the number of meters it has traveled is constant. Is she correct? Explain in detail.
3) How fast is each robot traveling? How did you compute this from the graph?
Robot A:
Robot B:
Robot C:
Answers
im guessing its nothing
Step-by-step explanation:
I am so bad at math so i need help
Answers
a) a+b=b+a
the commutative property of whatever number is it turned around
b) a * b= b*a
the commutative property of whatever number is it turned around
c) b+0=b
the additive property is whatever adds to zero is that number.
d) b*1=b
the multiplication property of one is whatever mutilply by 1 is that number.
Which of the following statements shows a characteristic of a statistical question?
The question is focused.
There is a population that is being studied.
The distribution can be broken into categories.
The question allows for surveys to be conducted.
Answers
because it's a data and a statistical question is something that you use data for
Answer:
B
Step-by-step explanation:
Coach Riley asked 35 students to count the number of push-ups they completed during class. The results are displayed in the box plot.
He then asked them to complete 4 more by the end of class.
Which of the following statements is TRUE about a new plot with the altered data?
A - The range will Increase by 4 units
B - The median will be greater than 46.
C - The plot will be translated 3 units to the right.
D - The interquartile range will be 4 times larger.
Answers
Answer:
I think A
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
Answers
Is the vertex of the graph a maximum or a minimum?
A. maximum
B. minimum
C. neither
D. both
Answers
Explain how to draw a line segment that measures 72 millimeters.
Answers
Answer:
get a ruler and meshure out 72 millimeters.
Step-by-step explanation:
did exam
Answer: I'm just gonna answer this question. Use a ruler with millimeters.
Step-by-step explanation:...yea-
Mallorie is measuring the rug in her bedroom with a yardstick. She gets 2 yards the first time she measures, then she gets 6 feet the second time she measures. Qhy are the lengths different and no picture included
Answers
Answer:
because the length and width are 2 different measurements
Step-by-step explanation:
What is the area of triangle i? Show your calculation
please dont use me for points
Answers
Answer:
3 square centimeters.
Step-by-step explanation:
The measurements are 4 cm by 1.5 cm, so you can use the formula for area of a triangle (area = 1/2 * base * height) to figure it out.
Plug in base = 4, height = 1.5:
area = 1/2* 4 * 1.5 = 2 * 1.5 = 3.
The area is 3 sq. cm.
Is the value of (y + 6) greater in 4(y + 6) = 48 or 12(y + 6) = 48?
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Pls help i will give brainly!
Answers
click on pic click on pic
The table shows the number of bottles of different kinds of juice sold at a cafeteria on Monday.
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table?
Pls answer ASAP
Answers
First you need to add up everything to find out the amount of costumers more Monday. You will get 40. Then you would have to multiply 40 by 2 to get 80 which is the total amount of costumers for Tuesday. This means that you have to double the amount of everything on the table to find out how much of each item was sold. The questions says which is NOT supported by the table. When you do the math you see that everything is accurate except C because the number of apple juice sold on Tuesday is 22 and the number of cranberry juice sold on Tuesday is 14. 22 is not 6 times more than 14 which makes C the correct answer.
please help me i am stuck on this math question please show work
Answers
150/5 = 30 540/30 = 18
A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?
A. C(x) is the total cost, xis the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
B. C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
C. x is the total cost, C(x) is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
D. x is the total cost, C(x) is the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
Answers
Answer:
prob b
Step-by-step explanation:
tell me if i got it wrong if so i will try again :)
PLEASE NO LINKS OR FILES ALL IM ASKING IS FOR AN HONEST ANSWER PLASE AND THANK YOU WILL GET BRAILEAST IF CORRCT :))
Answers
Answer:
7?
Step-by-step explanation:
72/10 squares = about 7
PLEASE PLEASE PLEASE HELP ME ASAP!!!!
Answers
Explanation
An angles degree will always equal 180
This triangle is a right angle so it has given you 90° and 30.6
So 90+30.6 = 120.6
180 -120.6=59.4
Which rounds to 59
What would this be? Thanks for helping!
Answers
Answer:
if I remember correctly it would be a triangle.
What is the simplified form of:
Answers
Answer:
A.
Step-by-step explanation:
4π√5 - 2π√5 ÷ 3√5
=2π√5 ÷ 3√5
root 5 cancels out
=2π ÷ 3
Solve: 2x + 3y+4
-7y=4x-8
Answers
Answer:
Step-by-step: 6+2y-=x 3+2x-=y
y
=
−
x
2
+
3
help plz i need it really quick
Answers
Answer:
20 messages per hour
Step-by-step explanation:
160 messages in 4 hours
160/4
= 20
20 messages per 1 hour
Answer: 2.08333333333 That should be the answer I think
Step-by-step explanation: