Answers
Part (A)
The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.
The output variable is the y value, which in this case is the height. The units for the height is in inches.
====================================================
Part (B)
We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.
Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.
A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.
While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.
As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.
====================================================
Part (C)
The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728
So the rate of change is 1.728 inches per shoe size.
In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.
---------------------------------------------------------
Extra info:
The equation
Height = 51.46 + 1.728(Shoe Size)
is the same as
y = 51.46 + 1.728x
where x is the shoe size and y is the height
We can rearrange that into
y = 1.728x + 51.46
So that it matches with the familiar y = mx+b slope intercept form. This is optional.
Related Questions
Doris traveled 153 miles on Tuesday. She traveled 270 miles on Wednesday. How many more miles did she travel on Wednesday than she did on Tuesday?
Answers
Answer:
117
Step-by-step explanation:
270 -153=117
In the number 3.625, 3 represents ones, 6 represents tenths, 2 represents hundredths, and 5 represents thousandths. In which numbers does 6 represent 110 as much as it represents in the number 3.625? Select three that are correct.
5.362
3.562
6.253
5.236
2.563
Answers
Answer: A c and D ✨
Step-by-step explanation: bc it is xo
Bradly can earn extra money by mowing lawns. His neighbors will pay him 3.00 for each lawn that takes him 3/4 of an hour. What is the amount of time in extra hours, that Bradley would have to spend mowing lawns to be able to buy a second $48 ticket for his brother.
Answers
Time for which Bradly has to mow lawns to get $48:
We know that Bradly earn $3 every 3/4 hours of mowing lawns
Time taken by Bradly to get $1:
time taken by Bradly to get $1 = time taken to get $3 / $3
time taken = (3/4) / 3
time taken = 1/4 hours / dollar
Time taken by Bradly to get $48:
Time taken to get $48 = time taken to get $1 * 48
Time taken to get $48 = 1/4 * 48
Time taken = 12 hours
Therefore, after 12 hours of Mowing lawns, Bradly will have $48
what number is 33 1/3 of 66
ok so ik that the answer is 22 I think but I wanted to know how to set the answer up.
Answers
Answer:
22
Step-by-step explanation:
When youre trying to find a fraction of a number, you can divide the number by the fraction.
For instance:
1/3 of 66: 1/3 × 66 = 22
1/2 of 66: 1/2 x 66 = 33
PLEASE HELP! Find the cosine of angle G. Write your answer in simplified, rationalized form. Do not round. (see attached image)
Answers
Answer:
2/5
Step-by-step explanation:
4+19=25
square root of 25 is 5 so
adjacent over hypotenuse is 2/5
this might be wrong but I think this is how u do it
Answer:
just follow this formula
cos=adjacent over (divided by) hypothenuse
Step-by-step explanation:
answer 2 over √19
A charter airline finds that on its Saturday flights from Philadelphia to London all 180 seats will be sold if the ticket price is $200. However, for each $3 increase in ticket price, the number of seats sold decreases by one. (a) Find a formula for the number of seats sold S if the ticket price is P dollars.
Answers
Answer:
[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]
Step-by-step explanation:
Given that:
Number of seats sold is 180 with ticket price $200.
Number of seats decreases by one when the ticket price is increased by $3.
To find:
The formula for the number of seats sold (S) when the ticket price is P dollars.
Solution:
It is linear dependency of number of seats sold, S on ticket price, P.
[tex]S\propto P[/tex]
It can be written as:
[tex]S = kP+C[/tex]
Where [tex]k[/tex] is the constant of proportionality and
[tex]C[/tex] is a constant.
Now, putting the given values:
[tex]180 = 200k +C ..... (1)[/tex]
[tex]179 = 203k+C[/tex] ...... (2)
Subtracting (1) from (2):
[tex]3k = -1\\\Rightarrow k =-\dfrac{1}{3}[/tex]
Putting the value in (1):
[tex]\Rightarrow C = 180+\dfrac{200}{3} = \dfrac{740}{3}[/tex]
Therefore the equation becomes:
[tex]S = -\dfrac{1}{3}P+\dfrac{740}{3}[/tex]
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many liters did they make? If they charge $ 2.00 per liter.
How much money will they make if they sell everything?
Answers
Please help me with this thanks
Answers
Answer:
no
Step-by-step explanation:
No, because none of the factors of 29 equal to -1
Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
Answers
Answer: -x^2 + 15x
Step-by-step explanation:
Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups
Answers
the area of a face of a cube is 144cm^2 . find its volume
Answers
Step-by-step explanation:
1 face area = length x width (aka length x length since cube)
therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)
volume = length x width x height = 12 x 12 x 12 = 1728cm^3
Topic: Mensuration
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
Answers
Answer:
Step-by-step explanation:
1. You have a ladder that is 10 feet tall and you place it on the ground 6 feet away from your house, which you plan to paint. How far up will the ladder reach? (Ans: 8 feet)
2. I think drawing a diagram of this is pretty self-explanitory. Just remember to lable the ladder as 10 feet, the ground as 6 feet, and the house as 8 feet.
3. There wasn't really an equation in the question, but if you draw a triangle you'll need to solve for the third side. It would be 8 feet, but if you consider the pythagoran therom:
100ft(c^2, the hypotenuse, or the ladder)- 36 ft(a^2, or the ground)= 64, the square root of 64 would give you 8. You can write it out symbolically, but I'm typing and there's not much I can do on here.
3 times the sum of one third of a number and 8 is 11
Answers
Answer:
3([tex]\frac{1}{3}[/tex]x+8)=11
Step-by-step explanation:
It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.
0=x^2+4x+1. Khan academy
Answers
(x−2)=5
x=5+2
x=7
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answers
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
Colton's Gym charges an initiation fee of
$40 plus a monthly fee of $50. Which
of the equations below shows the cost
c of joining the gym for m months?
O c = 50 + 40m
O c = 40 + 50m
C + 40 - 50m
Answers
Answer:
c = 40 + 50m
Step-by-step explanation:
40 is a constant, it is not affected by the number of months the person works out at the gym for.
There is a monthly fee of $50. So, every month Colton gets charged $50, so this is the variable.
The total cost would be represented by the equation c = 40 + 50m then.
Let's look at this using a number for m.
If Colton went to the gym for 2 months then we can set up the equation like this:
c = 40 + 50(2)
c = 40 + 100
c = 140
Therefore he spends a total of $140 for 2 months.
Hope this helps!
- Kay
In the morning, a farm worker packed 3 pints of berries every 5 minutes. In the afternoon, she packed 4 pints of berries every 6 minutes. What was the difference between her morning and afternoon packing rates in pints per hour?
Answers
Answer:
1/15
Step-by-step explanation:
If 1/2 cup of white sugar is needed for one batch of oatmeal raisin cookies, how much white sugar is needed for 8 batches of cookies?
Answers
Answer:
4 cups
Step-by-step explanation:
For one batch of cookies you'll need 1/2 cup of sugar. 8 batches of cookies is 8 times the amount of batches of one batch of cookies. So, if the amount of batches is multiplied by 8, then we need to multiply the amount of sugar by 8 as well:
1/2 * 8 = 8/2 = 4/1 = 4
4 cups of white sugar are needed for 8 batches of cookies.
Based on the information in the diagram, can you prove and explain that the figure is a
parallelogram?
a. Yes; both pairs of opposite sides are congruent.
b. Yes; both pairs of opposite angles are congruent.
c. Yes; one pair of opposite sides are both parallel and congruent.
d. Yes; one pair of opposite angels are congruent and one pair of opposite sides are congruent.
e. No; you cannot prove that the quadrilateral is a parallelogram.
Answers
define photosynthesis
Answers
Step-by-step explanation:
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
A game board consists of 64 squares that alternate in color between black and white. The figure below shows square $P$ in the bottom row and square $Q$ in the top row. A marker is placed at $P$. A step consists of moving the marker onto one of the adjoining white squares in the row above. How many 7-step paths are there from $P$ to $Q$ ? (The figure shows a sample path.)
Answers
9514 1404 393
Answer:
A) 28
Step-by-step explanation:
Of the seven moves, 3 must be to the left, and 4 must be to the right. That is, we end up exactly one space right of where we started, so there must be exactly one more move to the right than to the left.
The number of permutations of LLLRRRR is 7!/(4!·3!) = 35. Of those, several must be eliminated, because they result in a path that goes off the right side of the board.
The discounted sequences are ...
LRRRRLLRLRRRLLRRLRRLLRRRLLLRRRRLLRLRRRLRLLRRRRLLL"With these 7 possibilities eliminated from the list, there are 35 -7 = 28 possible paths from P to Q.
Find the slope of the line that passes through (4, 9) and (6, 10).
Answers
Answer:
y = 4/5x + 14/5
Step-by-step explanation:
yee
Determine if the triangles are congruent. If so, write a congruence statement. Explain your reasoning in a short paragraph proof.
PLS Help I'M IN A RUSH
BRAINLIEST WILL BE MARKE FOR THE BEST ANSWER GIVEN
Answers
Answer: Yes
Step-by-step explanation:
The Vertical angle would show that 2 of the angles are exactly the same. Its also given 2 lines that are marked as congurent. Since we know that angle and the lines are congruent we can also say that angle IFJ is congruent to angle IHG meaning that they are congruent because of ASA (Angle Side Angle Theorem)
Congruent triangles have equal corresponding sides lengths and angle measures.
The triangles are congruent by ASA
From the attached figure, we have:
[tex]\mathbf{HI \cong IF}[/tex]
Lines HG and JF are parallel lines.
It means that:
Angles G and F are corresponding, and also angles at I in both triangles are vertical angles.
So, we can conclude that both triangles are congruent by ASA
Read more about congruent triangles at:
https://brainly.com/question/12413243
Solve: 2x - 3 = 4x + 5
Answers
WILL MARK BRAINLIEST Given angle SUN is congruent to angle TAN, we can conclude that s=a, su=tn sn=tn, un=ta, or t=u
Answers
Answer:
SN=TN
Step-by-step explanation:
When determining congruency (if that's a word) S will always equal T
U will always equal A and N will always equal N
So SN= TN
If 5, 8 are two adjacent terms in an arithmetic sequence (in that order), then the next term is
Answers
Answer:
11
Step-by-step explanation:
Given that:
Two adjacent terms of an arithmetic sequence are given as 5, 8.
To find:
The next term = ?
Solution:
First of all, let us learn about an arithmetic sequence and its property.
An Arithmetic sequence (sometimes known as Arithmetic Progression or an AP), is a sequence in which there is a common difference between every two terms.
Suppose, an arithmetic sequence is:
[tex]a, b, c, d[/tex]
Then common difference = [tex]b-a=c-b=d-c[/tex]
Let the next term in the given sequence be [tex]x[/tex].
Then as per the property of an Arithmetic sequence, we can say:
[tex]8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}[/tex]
Therefore, the answer is: 11
six notebooks cost 720- Find
the cost of 5 notebooks
Answers
Answer:
$600
Step-by-step explanation:
first, you need to find the unit price which is found by dividing 720 by 6.
so, 720/6 is 120
then, to find the cost of 5 notebooks, you just need to multiply 120 by 5
which would get you 600.
therefore, the total cost of 5 notebooks is $600.
i hope that helps :)
Answer:
600
Divide 720 from 6
= 120
120 x 5 = 600
The points (-1,-6) and (-3,t)fall on a line with a slope of -5 . what is the value of t?
Answers
Answer:
t = -4
Step-by-step explanation:
[tex]\frac{6 - t}{-1 - (-3)}[/tex] = -5
[tex]\frac{6 - t}{2}[/tex] = -5
6 - t = 10
-t = 4
t = -4
PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answers
Answer:
a i think
Step-by-step explanation:
3.f(-4)-3.g(-2) please help me with this problem
Answers
3.f(-4)-3.g(-2) please help me with this problem
Answer:
-12f + 6g
Step by step explanation: