What is the approximate value of the correlation coefficient for the given graph?
Price of the Car ($1,000)
40
35•
30. •
25. •
20. •
15. •
10. •
5. •
0 1 2 3 4 5 6 7
Number of Years
A. 1
B. 5
C. 3
D. -1
Answers
Answer:
the answer is a bc the 1 in this makes sense
Step-by-step explanation:
thats is the best answer i think
The approximate value of the correlation coefficient for the given graph is 5.
To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).
The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:
m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 35) / (6 - 0)
m = -30 / 6
m = -5
Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):
y = mx + b
35 = -5(0) + b
35 = b
So, the equation of the line is y = -5x + 35.
Now, we can use this line to calculate the correlation coefficient "r" for the given graph.
The correlation coefficient "r" is given by the formula:
r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)
where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.
Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.
So, the correlation coefficient (R) is:
R = √((-5)²) = √25 ≈ 5
Therefore, the approximate value of the correlation coefficient for the given graph is 5.
The correct option is: B. 5
To know more about correlation coefficient, refer here:
https://brainly.com/question/29978658
#SPJ2
Complete Question:
What is the approximate value of the correlation coefficient for the given graph?
A. 1
B. 5
C. 3
D. -1
Related Questions
Ashley has finished 7/25 of her homework what percentage of the homework does Ashley still need to finish
Answers
Answer:
72 percent
Step-by-step explanation:
7/25, x 4 to get a fraction of 100
28/100
100 - 28 = 72
72 percent
Answer:
Ashley still needs to finish 72 percent of her homework
Step-by-step explanation:
Happy to help!! :D
Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715
Answers
The value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^5
How to evaluate the composite function?The functions are given as:
f(x) = 11x^3 - 3x^2
g(x) = 7x^4 + 9x^3
The value of f(x) . g(x) is calculated as:
f(x) . g(x) = (11x^3 - 3x^2) * (7x^4 + 9x^3)
Expand
f(x) . g(x) = 77x^7 + 99x^6 - 21x^6 - 27x^5
Evaluate the like terms
f(x) . g(x) = 77x^7 + 78x^6 - 27x^5
Hence, the value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^518x^5
Read more about composite function at:
https://brainly.com/question/17749205
#SPJ1
14.
Case Study - 2 John planned a birthday party for his younger sister with his friends.
ded to make some birthday caps by themselves and to buy a cake from a bakery shop. For these two items, they decided the following dimensions : Cake : Cylindrical shape with diameter 24 cm and height 14 cm. cap: Conical shape with base circumference 44 cm and height 24 cm.
2
Based on the above information, answer the following questions: (a) How many square cm paper would be used to make 4 such caps ?
The bakery shop sells cakes by weight (0-5 kg, 1 kg, 1.5 kg, etc.). To have the required dimensions, how much cake should they order, if 650 cm3 equals 100 g of cake?
-30/3/1
Answers
a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
b. For the cake to have the required dimensions, they should order 1 kg of cake.
a.
The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.
Area of a coneThe area of a cone, A = πr² + πr[√(h² + r²)] where
r = radius of cone and h = height of coneNow given that the base circumference of the cone is C = 44 cm. So,
C = 2πr where r = radius of base
So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm
The height of the cone, h = 24 cm
So, A = πr² + πr[√(h² + r²)]
A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]
A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]
A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]
A = 49π cm² + 49π cm[√(17 cm²)]
A = 49π [1 cm² + 4.123 cm²)]
A = 49π [5.123 cm²)]
A = 251.032π
A = 788.64 cm²
Since the area of one cap is A = 788.64 cm²,
the area of 4 caps is A' = 4A
= 4 × 788.64 cm²
= 3154.56 cm²
So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².
b.
For the cake to have the required dimensions, they should order 1 kg of cake.
To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.
Volume of a cylinderThe volume of a cylinder is V = πd²h/4 where
d = diameter of cake = 24 cm and h = height of cake = 14 cmSubstituting the values of the variables into the equation, we have
V = πd²h/4
V = π(24 cm)²(14 cm)/4
V = π(576 cm)²(14 cm)/4
V = 8064π cm³/4
V = 2016π cm³
V = 6333.45 cm³
So the volume of the cake is 6333.45 cm³
Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm = 974.4 g = 0.974 kg ≅ 1 kg.
So, for the cake to have the required dimensions, they should order 1 kg of cake.
Learn more about volume of a cake here:
https://brainly.com/question/27570775
#SPJ1
How many solutions does the following equation have? 4x -6 = 2(2x+3)
Answers
Answer:
None
Step-by-step explanation:
[tex]4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions[/tex]
Answer: There are no solutions for the equation.
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
-6 = 6
the first three terms of a G.P is are x+1, x-3 and x-1 find the value of x
Answers
[tex]\text{First term,}~ a = x+1\\\\\text{Common ratio,}~ r = \dfrac{x-3}{x+1}= \dfrac{x-1}{x-3}\\\\\text{Now,}\\\\~~~~~~\dfrac{x-3}{x+1} = \dfrac{x-1}{x-3}\\\\\\\implies (x-3)(x-3) = (x-1)(x+1)\\\\\\\implies (x-3)^2 = x^2 -1\\\\\\\implies x^2 -2\cdot 3x +3^2 =x^2 -1\\\\\\\implies -6x+9=-1\\\\\\\implies -6x = -1 -9\\\\\\\implies -6x = -10\\\\\\\implies x =\dfrac{-10}{-6}\\ \\\\\implies x = \dfrac 53[/tex]
Sian is going to roll the dice 50 times work out an estimate for the number of times the dice will land on either 5 or 6
Answers
Answer:
5
Step-by-step explanation:
5,10,15,20,25,30,35,40,45,50
6,12,18,24,30,36,42,48,54
Please solve this for me
Answers
[tex]6 sin² x + 4 cos²x = Stanx[/tex]
[tex]Correct option is B)
Given, 4cos2x+6sin2x=5
[/tex]
[tex]⇒4cos2x+4sin2x+2sin2x=5
⇒2sin2x=1⇒sin2x=21=(21)2
⇒x=nπ±4π
[/tex]
Solve any question of Trigonometric Functions with:-[tex]~~~~~~6 \sin^2 x + 4 \cos^2 x = 5 \tan x \\\\\implies 3 \cdot 2\sin^2 x + 2 \cdot 2 \cos^2 x = 5 \tan x\\ \\\implies 3(1- \cos 2x ) + 2( 1 + \cos 2x) = 5 \tan x\\\\\implies 3 - 3 \cos 2x +2 +2 \cos 2x = 5 \tan x\\\\\implies 5- \cos 2x = 5 \tan x\\ \\\implies 5 - \left(\dfrac{1- \tan^2 x}{ 1+ \tan^2 x} \right)=5 \tan x\\\\\implies \dfrac{5+5 \tan^2x -1 + \tan^2 x}{1+ \tan^2 x} = 5 \tan x\\\\\implies 4 + 6\tan^2 x = 5( \tan x)(1+ \tan^2 x)\\\\\implies 4 +6\tan^2 x = 5 \tan x + 5 \tan^3 x[/tex]
[tex]\implies 5\tan^3 x -6 \tan^2 x+5 \tan x-4=0\\\\\implies 5 \tan^3 x - 5 \tan^2 x - \tan^2x + \tan x+ 4\tan x -4=0 \\\\\implies 5\tan^2 x(\tan x-1) -\tan x(\tan x-1) +4(\tan x-1)=0\\\\\implies ( \tan x - 1)( 5 \tan^2 x- \tan x +4) =0\\\\\implies \tan x =1\\\\\implies x = n \pi+ \dfrac{\pi}4[/tex]
can someone please help I pay £100
Answers
Answer:
The new points to the triangle will be:
[tex]A(1,4)\\ B(1,1)\\ C(-1,1)[/tex]
Step-by-step explanation:
Because the reflection point is at [tex]x=2[/tex], all x values will subtract their distances from [tex]x=2[/tex] to get their new values. The y values remain the same.
The starting values are:
[tex]A(3,4)\\ B(3,1)\\ C(5 ,1)[/tex]
Point [tex]A[/tex] is 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]A(1,4)[/tex].
Point [tex]B[/tex] is also 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]B(1,1)[/tex].
Point [tex]C[/tex] is 3 units away from [tex]x=2[/tex], so we'll subtract 3 from 2 to get the new x value: [tex]2 - 3 = -1[/tex], so [tex]C(-1,1)[/tex].
Consider the equation:
x^2= -8x – 7
1) Rewrite the equation by completing the square.
Your equation should look like (2 + c)2 = dor (x – c)2 = d.
---
-
2) What are the solutions to the equation?
Answers
Answer:
Step-by-step explanation:
Question 1:
x² = -8x - 7
x² + 8x = -7
(x + 4)² = 9
So the answer is (x + 4)² = 9
Question 2:
(x + 4)² = 9
So x = -4 ± 3
(1.1x10^-3) - (9.6x10^-4)
Answers
Answer:
0.00014
Step-by-step explanation:
just use calculator...
(1.1x10^-3) - (9.6x10^-4) = 0.00014
For -3y+2x=-18 determine the value of y when x = 0, and the value of x when y = 0.
Answers
Hello!
We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.
We were given the equation: -3y + 2x = -18
To solve for our variables, we will use the values given in our question.
Solve:
Lets solve for the value "y", where our x = 0
Plug in 0 to x and solve:
-3y + 2(0) = -18
-3y = -18
y = 6
Lets now solve for the value "x", where our y = 0
Plug in 0 to y and solve:
-3(0) + 2x = -18
2x = -18
x = -9
Therefore, our answers would be: y = 6, x = -9
Answer:
y = 6
x = -9
Please help me math
Answers
Answer:
Diagonal is = 16.97
Step-by-step explanation:
To find the length of a diagonal across a square use this formula
d = √(2×area)Plug in
d = √(2×144)d = √288D = 16 . 97
there are 6 batteries in a small paket ofbatteries. there are 9 batteries in a large paket ofbatteries. chow buys m small pakets of batteries and g large pakets of batteries. write down a formula in terms of m and g for t
Answers
Answer:
t = 6m + 9g.
Step-by-step explanation:
Total number of batteries is t.
t = 6m + 9g.
100 POINTS i need help fast!
Answers
Answer:
Step-by-step explanation:
you multiple each hight and base
Step-by-step explanation:
For this problem, it's better to look at the shapes individually, or to draw imaginary lines on the figure given to better illustrate it. Starting at the bottom, I imagine the figure at the bottom as an individual rectangle, where i can just multiply 3 and 2 to get 6. Next, you have the big rectangle. The length is 5 (not the 9; the 9 includes the square at the bottom and the long rectangle) , and in order to find the width, you have to add 4 and 3 to get 7. Then, multiply 7 and 5 to get 35. Next, you'll need to find the long rectangle. The height is 2, and the width is 14 (the rectangle that we just did plus the additional length labeled). 2 times 14 is 28. Finally, the triangle. Since you know the whole length of the shape is 14, you can subtract the side lengths next to the triangle (the 2 and the 6) from 14, to get 6 as the base. Multiply 7 and 6 to get 42, and divide 42 by 2 (21) since that's the area formula for a triangle.
If you make 20 dollars a week how many weeks will it take you to reach the goal Of 700 dollars
Answers
Answer:
35
Step-by-step explanation:
it takes 5 weeks to make 100 since 20 x 5 = 100
100 x 7 = 700
5 x 7 = 35
Answer:
It will take 35 weeks.
HELP ME PLEASSE!!! I WILL MARK AS BRAINLIEST
The turtle’s distance from his starting point is increasing between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
The turtle’s distance from his starting point is constant between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
The turtle’s distance from his starting point is decreasing between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
Answers
Answer:
See below
Step-by-step explanation:
The turtle’s distance from his starting point is increasing between 0 and 6
seconds (which means it is getting larger in that time interval)
The turtle’s distance from his starting point is constant between 6 and 8 seconds (which means it is not moving in that time interval!)
The turtle’s distance from his starting point is decreasing between 8 and 12
seconds (which means it is getting smaller in that time interval)
Answer:
0-6, 6-8, 8-12
Step-by-step explanation:
For this, we'll have to use the numbers along the x-axis to measure. The line begins moving in a positive direction (up) from 0 to 6, which at that point, it remains stationary until 8 seconds. It then moves in a negative direction (down) all the way to 12.
If I can explain or elaborate in any way, please let me know.
Hope this helps!
Find. The unit vector. Multiple choice
Answers
Answer:
D
Step-by-step explanation:
6i = 3/5i
8j = 4/5j
3/5i + 4/5j
Amiya has 8 more stamps than Huiling. Ravi has twice as many stamps as Amiya. Amiya and Ravi have 72 stamps altogether. How many stamps does Huiling have?
Answers
Amiya + Ravi = 72
x + 2x = 72
3x = 72
x = 72/3
x = 24
therefore Amiya has 24 stamps
Huiling has 8 more than Amiya = 24 + 8 = 32stamps
hope it helps...!!!
What is an in-text citation?
A. Providing constructive criticism
B. Using another person's ideas or writing without citing them.
C. Using reliable sources in your paper
D. Providing the author's name and where you found the information.
Answers
Find the sum.
35/100 + 5/10
Answers
Answer:
0.85
Step-by-step explanation:
35 divided by 100= 0.35 + 5 divided by 10 = 0.5
0.35 + 0.5 = 0.85
Answer:
17/20
Step-by-step explanation:
35/100+5/10
=35/100+50/100
=85/100
=17/20
Free easy points will give Brainliest
6^2+4^2=C^2
Answers
Answer: c = about 7.21
Step-by-step explanation:
ok - pythagorean theorum
6^2+4^2=C^2
36 + 16 = c^2
52 = c^2
root both sides
c = about 7.21
The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21
How to solve the equation?The equation is given as:
6^2 + 4^2 = C^2
Evaluate the exponents of 6 and 4
36 + 16 = C^2
Evaluate the sum
52 = C^2
Take the square root of both sides
7.21 = C
Rewrite as:
C = 7.21 (approximated)
Hence, the solution to the equation is approximately 7.21
Read more about equations at:
https://brainly.com/question/2972832
#SPJ2
F is the function f(×)= 2x+5
Find f(3)
Answers
Answer:
f(3)=11
Step-by-step explanation:
f(x) = 2x + 5
to find f(3) we simply plug in 3 where ever x is
So f(3) = 2(3) + 5
==> multiply 2 and 3
f(3) = 6 + 5
==> add 6 and 6
f(3) = 11
A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?
Answers
Step-by-step explanation:
we need 2 1/2 × 2 = 5 cubes along the length.
1 1/2 × 2 = 3 cubes along the the width.
and 1 1/2 × 2 = 3 cubes along the height.
altogether we need
5×3×3 = 45 cubes
and the volume is
2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³
There are 96 cubes are there for each of the length, width, and height of the prism.
The volume of a rectangular prism is 12 yd³.
What is the prism?A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.
A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd.
length 2 1/2 and half yd = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd
Width 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Cubes of edge length (1/3) yd are used to fill the rectangular prism.
The length would contain (3) ÷ (1/2) = 6
The width would contain (2) ÷ (1/2) = 4
The height would contain (2) ÷ (1/2) = 4
How many cubes are there for each of the length, width, and height of the prism?
6 × 4 × 4 = 96 cubes
There are 96 cubes are there for each of the length, width, and height of the prism.
What is the volume of the prism?
The volume of rectangular prism = 3 × 2 × 2 = 12
The volume of a rectangular prism is 12 yd³.
Learn more about prism here;
https://brainly.com/question/15084003
#SPJ2
help me please.. where does he cut from the board?? i need an answer. please i beg you.
Answers
Answer: 6 pieces
Step-by-step explanation:
He is cutting the board into pieces each measuring [tex]\frac{1}{8}[/tex] of a foot. The original board is [tex]\frac{3}{4}[/tex] of a foot long. This means he is dividing, so we will solve the problem by doing the following.
[tex]\displaystyle \frac{3}{4}/\frac{1}{8}[/tex]
[tex]\displaystyle\frac{3}{4}*\frac{8}{1}[/tex]
[tex]\displaystyle\frac{3*8}{4*1}[/tex]
[tex]\displaystyle\frac{24}{4}[/tex]
[tex]\displaystyle6[/tex]
He can cut the board into 6 pieces, each measuring [tex]\frac{1}{8}[/tex] of a foot.
Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
Aziza’s claim is not correct. The third side can be any length less than 26 in.
Aziza’s claim is not correct. The third side can be any length.
Aziza’s claim is not correct. The third side must create a scalene triangle.
Answers
Answer:
First choice.
Step-by-step explanation:
The third side cannot be 26 or greater ( as 11 + 15 = 26).
Answer:
it is A i think
Step-by-step explanation:
How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? more than one none one
Answers
Answer:
None
Step-by-step explanation:
By using the equation a^2 +b^2=c^2 we can see if it will work.
Substitute a for 6 and b for 2 to get 6^2+2^2=40
when you [tex]\sqrt{40}[/tex] you don't get 7 therefore you cant make any triangles
EXPLAIN IN YOUR OWN WORDS PLEASE!!!! ILL GIVE BRAINLIEST!!!
A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the room in square feet.
Answers
Answer: 55 [tex]\frac{5}{9}[/tex] feet² or 55.556 feet²
Step-by-step explanation:
The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.
[tex]\frac{5}{x}=\frac{1}{20}[/tex]
100 = x
-> The length is 100 inches
[tex]\frac{4}{x}=\frac{1}{20}[/tex]
80 = x
-> The width is 80 inches
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 100 * 80
A = 8,000 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
8,000 inches² / 144 = 55 [tex]\frac{5}{9}[/tex] feet²
The area of the room, in square feet, is 55 [tex]\frac{5}{9}[/tex] feet².
A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) Determine what fraction of the ingredients is butter. Simplify if possible.
b) Express this fraction as a decimal.
c) What percentage of the ingredients are salt and flour?
Answers
Step-by-step explanation:
a.
add up all the grams to get the total
60 + 40 + 100 = 200
butter is 60 out of 200 or
60/200 or (divide top & bottom by 20)
3/10 = answer
b.
3 ÷ 10 =
.33 = answer
c.
salt =
40 ÷ 200 = 1/5 = .20 =
20% = answer
flour
100 ÷ 200 = 1/2 = .50 =
50% = answer
The circumference of a pipe is 9.24 centimeters. What is the diameter of the pipe? Use 3.14 for ℼ and do not round your answer.
Answers
Hi Student!
The first step that we need to take when approaching this problem is to extract the important information that was given in the problem statement. Reading through it, we can see that we are given a circumference of a pipe being 9.24 centimeters. After that, they are asking for us to determine what the diameter of the pipe is and tell us to use 3.14 instead of π.
Now that we have completed the information gathering, we can move onto the part of plugging in our values and solving for the unknown.
Plug in the values
[tex]C=d*\pi[/tex][tex]9.24\ cm=d*3.14[/tex]Divide both sides by 3.14
[tex]\frac{9.24\ cm}{3.14}=\frac{d*3.14}{3.14}[/tex][tex]\frac{9.24\ cm}{3.14}=d[/tex][tex]2.942675\ cm=d[/tex]Therefore, after solving for our unknown being the diameter we were able to determine that it is around 2.942675 centimeters using the Circumference formula.
An industry currently has 100 firms, each of which has fixed cost of $16 and average variable cost as follows: Quantity Average Variable Cost 1 $1 22 33 44 55 66 Compute a firm’s marginal cost and average total cost for each quantity from 1 to 6. The equilibrium price is currently $10. How much does each firm produce? What is the total quantity supplied in the market? In the long run, firms can enter and exit the market, and all entrants have the same costs as above. As this market makes the transition to its long-run equilibrium, will the price rise or fall? Will the quantity demanded rise or fall? Will the quantity supplied by each firm rise or fall? Explain your answers. Graph the long-run supply curve for this market, with specific numbers on the axes as relevant.
Answers
The marginal cost is the change in the total cost that arises when the quantity produced is incremented, the cost of producing additional quantity.
a). First construct total variable cost for each level Q -- simply multiply Q by AVC. So
Q TVC
1 1
2 4
3 9
4 16
5 25
6 36
Now calculate marginal cost as the change in TVC for each level Q.
Q MC
1 1
2 3
3 5
4 7
5 9
6 11
b) with price = 10, firm will produce 5 but not 6 units.
c) calculate total profits at Q=5. Total revenue is $50, total costs is $25+$16 = $41. Since there are profits to be made, more firms will enter, shifting the supply curve out, Price will fall, quantity goes up. Each firm will supply the same or less as price falls.
Learn more about Marginal Cost from:
https://brainly.com/question/7781429
#SPJ1