You are provided with the following information from a Minitab regression output. The regression equation is y = 3 - 0.5x. The squared correlation is 81%. Find the correlation coefficient.
Answers
The correlation coefficient can be found by taking the square root of the squared correlation. Therefore, the correlation coefficient is √81% = 0.9.
Based on the given information, the squared correlation (R²) is 81%. To find the correlation coefficient (r), you need to take the square root of the squared correlation.
R² = 0.81
The correlation coefficient, r = √0.81 = ±0.9
Since the regression equation is y = 3 - 0.5x and the slope is negative, the correlation coefficient is negative. Therefore, the correlation coefficient (r) is -0.9.
A correlation coefficient is a metric that expresses a correlation, or a statistical link between two variables, in numerical terms. Two columns of a given data set of observations, also known as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.
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Related Questions
argumento sobre el medio ambiente
Answers
El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.
Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.
Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.
En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.
please help me!!!!!!! due soon
Answers
Answer:
A
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
(4x + 11) is an exterior angle of the triangle , then
4x + 11 = 3x - 24 + 2x
4x + 11 = 5x - 24 ( subtract 5x from both sides )
- x + 11 = - 24 ( subtract 11 from both sides )
- x = - 35 ( multiply both sides by - 1 )
x = 35 → A
Rearrange the formula to highlight the height
Answers
Answer:
\(h = \frac{2A}{b+c}\)
Step-by-step explanation:
Original Equation:
\(A = \frac{1}{2} (b+c)h\)
Divide both sides by height
\(\frac{A}{h} = \frac{1}{2}(b+c)\)
Raise both sides to the exponent -1 :
\((\frac{A}{h})^{-1} = (\frac{1}{2}(b+c))^{-1}\)
Rewrite using the definition of a negative exponent: \((\frac{a}{b})^{-x} = (\frac{b}{a})^{x}\)
\(\frac{h}{A} = \frac{1}{\frac{1}{2}(b+c)}\\\)
Multiply 1/2 by (b+c)
\(\frac{h}{A} = \frac{1}{\frac{b+c}{2}}\\\)
Keep, change, flip
\(\frac{h}{A} = \frac{1}{1} * \frac{2}{b+c} = \frac{2}{b+c}\)
Multiply both sides by A
\(h = \frac{2A}{b+c}\)
Also I forgot to mention but the exponent (-1) can be ignored after you flip it, since: \((\frac{a}{b})^x = \frac{a^x}{b^x}\), but since in our case the exponent is 1, and \(a^1 = a\), so there's really no need to write out the distribution part, since we just get the same fraction, after flipping it.
what are 170000 times 1000
Answers
Answer:170000000
Step-by-step explanation:
W = 5p+t
Work out the value of W when p = 6.2 and t = -4
Answers
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\(W = 5p + t\)
\(W = 5 \times (6.2) + ( - 4)\)
\(W = 31 - 4\)
\(W = 31 - 1 - 3\)
\(W = 30 - 3\)
\(W = 27\)
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Answer:
w=27
Step-by-step explanation:
w=5(6.2)+-4
w=31-4
w=27
Tariq sold 2 kg, 4kg, 3 kg, and 4kg of almonds from Monday to
Thursday respectively. On Friday, he sold of the previous four days total
sold quantity.
a) How much almonds he sold on Friday?
b) How much almonds did he sell from Monday to Thursday?
Thi
a)
Answers
As per given information about selling of almonds from Monday to Thursday , answer of the following questions are as follow:
a. Amount of almonds sold on Friday as per given condition is equal to
13 kg.
b. Amount of almonds he sells from Monday to Thursday is equal to 13kg.
As given in the question,
Amount of almonds sold by Tariq from Monday to Thursday are as follow:
Monday = 2 kg
Tuesday = 4kg
Wednesday = 3 kg
Thursday = 4kg
a. Condition given:
Amount of almonds sold on Friday is equal to total sold quantity of previous four days that is Monday to Thursday
= (2 + 4 + 3 + 4) kg
= 13kg
b. Amount of almonds Tariq sell from Monday to Thursday is
= (2 + 4 + 3 + 4) kg
= 13kg
Therefore, as per given information about selling of almonds from Monday to Thursday , answer of the following questions are as follow:
a. Amount of almonds sold on Friday as per given condition is equal to
13 kg.
b. Amount of almonds he sells from Monday to Thursday is equal to 13kg.
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Solve each proportion. 10/14=15/x
Answers
Answer:x=21
Step-by-step explanation:
10/14=15/x
5/7=15x^-1
(5/7)/15=ans
ans=x^-1
ans^-1=21
Answer: x=21
Step-by-step explanation:
\(\frac{10}{14} =\frac{15}{x}\)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 14x, the least common multiple of 14,x.
x×10=14×15
Multiply 14 and 15 to get 210.
x×10=210
Divide both sides by 10.
x=
10
210
Divide 210 by 10 to get 21.
x=21
Help me please rjdjfhdhdbdbdbdbdb
Answers
Answer:
\(1609.1 m^{3}\)
Step-by-step explanation:
The area of a triangle is 1/2 base * height.
The base of one side is 13, and the height is 30.
30 * 13 = 390
390 / 2 = 195
Now, there are six of these triangle faces, so multiply that number by six.
195 * 6 = 1170
Now, just add the area of the base:
1170 + 439.1 = 1609.1
31.8÷3
I know that 31.8÷3 equal 10.6 but why
Answers
Answer: The answer’s in the picture
Step-by-step explanation:
Answer:
Through long-division, I'll upload an image
Step-by-step explanation:
pls need help very urgent pls fast no fake answer full explanation pls pls
Answers
prime factors of 900 =2 to power 2 ×3 to power 2 × 5 to power 2
: 2 x 375 = 750.
Answer:
6.75 x 10^5
Step-by-step explanation:
On Monday Harold picked up six donuts and two large coffees for the office staff. He paid $5.80. On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02. What is the cost of one donut? What is the cost of one large coffee?
Answers
Cost of tjhe donut: D
Cost of the large coffee: C
On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:
\(6D+2C=5.80\)On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:
\(4D+5C=7.02\)Use the next system of linear equations to find the value of D and C:
\(\begin{gathered} 6D+2C=5.80 \\ 4D+5C=7.02 \end{gathered}\)1. Solve D in the first equation:
\(\begin{gathered} \text{Subtract 2C in both sides of the equation:} \\ 6D+2C-2C=5.80-2C \\ 6D=5.80-2C \\ \\ \text{Divide both sides of the equation into 6:} \\ \frac{6}{6}D=\frac{5.80}{6}-\frac{2}{6}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}C \end{gathered}\)2. Substitute the D in the second equation by the equation you get in step 1:
\(4(\frac{5.80}{6}-\frac{1}{3}C)+5C=7.02\)3. Solve C:
\(\begin{gathered} \frac{23.2}{6}-\frac{4}{3}C+5C=7.02 \\ \\ \frac{-4C+15C}{3}=7.02-\frac{23.2}{6} \\ \\ \frac{11}{3}C=\frac{42.12-23.2}{6} \\ \\ \frac{11}{3}C=\frac{18.92}{6} \\ \\ C=\frac{3}{11}\cdot\frac{18.92}{6} \\ \\ C=\frac{56.76}{66} \\ \\ C=0.86 \end{gathered}\)4. Use the value of C=0.86 to find D;
\(\begin{gathered} D=\frac{5.80}{6}-\frac{1}{3}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}(0.86) \\ \\ D=\frac{5.80}{6}-\frac{0.86}{3} \\ \\ D=\frac{17.4-5.16}{18} \\ \\ D=\frac{12.24}{18} \\ \\ D=0.68 \end{gathered}\)The solution fot the system is:
\(\begin{gathered} C=0.86 \\ D=0.68 \end{gathered}\)The cost of one dount is $0.68The cost of one large coffee is $0.86When drawing the stretchout arc for the pattern of a cone fitting, the radius should be equal to _____.
Answers
When drawing the stretch-out arc for the pattern of a cone fitting, the radius should be equal to the true length of the side.
The 3 tactics typically used in developing patterns are parallel-line, radial-line, and triangular improvement.
To make such objects, a drafter has to first draw them as a pattern or pattern improvement. A pattern improvement additionally known as a stretch out or simply an improvement is a format of an object made on a single flat aircraft.
In radial traces, we develop styles for shapes that have a taper, all element lines (bends) should radiate returned to a not unusual factor, a radius point. We want matters for this procedure to paintings: A radius factor is in the center (right cone). A radius point is inside an inexpensive distance.
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Divide 320 into 8 equal groups
Answers
Answer:
320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.
When dividing 320 into 8 equal groups, each group would contain 40.
We have to divide 320 into 8 equal groups.
Performing the division as
8 | 320 | 40
320
-_______
0
So, 320 ÷ 8 = 40
Therefore, when dividing 320 into 8 equal groups, each group would contain 40.
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Which derived character is placed immediately after that group on the cladogram?
Answers
Answer:
Step-by-step explanation:
One that has the next least in common with the rest.
50 points
PLEASE HELP ASAP
Answers
Answer:
1
Step-by-step explanation:
A quadrilateral has two angles that measure 290° and 20°. The other two angles are in a
ratio of 2:3. What are the measures of those two angles?
Answers
Answer:
Step-by-step explanation:
The remains two angles are 2x and 3x.
2x+3x = 360-290-20 = 50°
x= 10°
One angle is 20°. The last angle is 30°
4. Nicky has a part-time job at the market. She recorded the number of hours she worked each week for the last month and how much she was paid after taxes to the table given below. If the paycheck amount varies directly with the hours worked, how much is Nicky paid per hour, after taxes? * Hours Worked Paycheck amount ($) 130.76 149.44 65.38 102.74 16 11
Answers
we use cross-multiplication
take a pair and try to find the pay per hour
\(\begin{gathered} 14h\longrightarrow130.76 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times130.76}{14h} \\ x=9.34 \end{gathered}\)to check we can take other pair
\(\begin{gathered} 7h\longrightarrow65.38 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times65.38}{7h} \\ x=9.34 \end{gathered}\)the paid per hour is $9.34
How can you write and solve equations and inequalities.
Answers
Answer:
1.) You my add any positive or negative number to both sides of an inequality.
2.) You may multiply or divided both sides of an inequality by any positive number.
Step-by-step explanation:
*Hope this helped*
The procedure is summarized in three steps: 1) Write expressions, 2) Simplify/reduce expressions, 3) Solve for each variable.
The procedure of Writing and Solving Equations and Inequalities: is described below:
1) Write a number of Equations with same quantity of Variables, in order to solve the System.
2) Use Algebra properties to Simplify and Reduce the number of Expressions.
3) Solve for each reduced Expression.
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How do I Graph: y = 2(2*)
Answers
Answer:
Step-by-step explanation:
suppose that 85% of all business managers are willing to switch companies if offered a salary increase of 20%. if a headhunter randomly contacts a simple random sample of 51 managers, what is the probability that the proportion willing to switch companies if offered a higher salary is between 0.9115 and 0.946? (choose the best/closest answer to account for minor rounding)
Answers
The probability that the proportion willing to switch companies if offered a higher salary is between 0.9115 and 0.946 is 0.08192
According to the question,
Percentage of business manager willing to switch companies if salary increase 20% = 85%
So, Population Proportion that wants to change company : p = 0.85
Population proportion that does not want to switch : q = 0.15
Sample size taken by SRS : n = 51
We have to calculate the probability that the proportion willing to switch companies if offered a higher salary is between 0.9115 and 0.946
i.e. P( 0.9115 < \(\hat{p}\) < 0.946)
As we know ,
Z statistic for calculating population proportion is
Z = \(\hat{p}\) - p / √pq/n
So, P( 0.9115 < \(\hat{p}\) < 0.946)
Subtracting by p and dividing by √pq/n both sides,
=> P( 0.9115 - p / √pq/n < \(\hat{p}\) - p / √pq/n < 0.946 - p / √pq/n)
Using Z-statistics given above,
=> P(0.9115 - 0.85 /√0.85×0.15/51 < Z < 0.946 - 0.85 /√0.85×0.15/51 )
=> P(0.0615/√0.0025 < Z < 0.096/√0.0025)
=> P(0.0615/0.05 < Z < 0.096/0.05)
=> P( 1.23 < Z < 1.92)
Using Probability distribution table,
P( 0.9115 < \(\hat{p}\) < 0.946) = 0.08192
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When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of the amount of the loan A and the current interest rate i (as a percent); that is, R = f(A). Interpret each of the following. (a) R140,000, 7) - 776.89 For a loan of $140,000 at 7% interest, the monthly payment is $776.89. For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan. For a loan of $140,000 at 7.7689% interest, the monthly payment is $700.
Answers
The monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89 is the correct statement(A).
The statement given is describing a function that relates the monthly payment R of a 25-year variable-rate mortgage loan to the loan amount A and the current interest rate i.
The given values are R = $776.89 and A = $140,000, with an interest rate of 7%. This means that the monthly payment required to pay off a loan of $140,000 at 7% interest would be $776.89.
However, the other statements are incorrect interpretations. For instance, the statement "For a loan of $140,000 at 7.7689% interest, 700 monthly payments would be required to pay off the loan" is incorrect.
This is because the number of payments required to pay off a loan depends not only on the loan amount and interest rate, but also on the term of the loan.
Similarly, the statement "For a loan of $140,000 at 7% interest, 776.89 monthly payments would be required to pay off the loan" is also incorrect, as the number of payments required would be determined by the term of the loan.
Finally, the statement "For a loan of $140,000 at 7.7689% interest, the monthly payment is $700" is also incorrect. This is because, for the given loan amount and interest rate, the monthly payment required would be $776.89, as calculated above.
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Simplify each expression.
20-(3)(12)+4²
Answers
To simplify the expression 20 - (3)(12) + 42, we need to follow the order of operations, which states that we should perform multiplication and division before addition and subtraction. The simplified expression is 26.
First, let's perform the multiplication inside the parentheses:
20 - (3)(12) + 42
20 - 36 + 42
Next, we perform the addition and subtraction from left to right:
20 - 36 + 42
-16 + 42
Finally, we perform the addition:
-16 + 42 = 26
Therefore, the simplified expression is 26.
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Helene spends 34% of her budget on transportation expenses. Enter percent as a decimal and as a fraction in simplest form.
Answers
Answer:
12 percent
Step-by-step explanation:
The perimeter of ΔP Q R is 94 units. QS bisects ∠ P Q R . Find P S and R S .
Answers
P S is approximately 15.7 units and R S is approximately 15.7 units.
P S is 47 units and R S is 47 units.
Given that the perimeter of triangle PQR is 94 units, we can determine the lengths of PS and RS by using the fact that QS bisects angle PQR.
Since QS bisects angle PQR, it divides it into two equal angles. Let's denote the measure of angle PQS and angle QSR as x.
We can consider the perimeter of triangle PQR. The perimeter is the sum of the lengths of its sides:
PQ + QR + RP = 94
Since QS bisects angle PQR, we can split the side QR into two segments, QS and SR:
PQ + QS + SR + RP = 94
Let's consider the lengths of PS and RS. Since QS bisects angle PQR, we can conclude that angle PQS and angle QSR are equal. Therefore, segment PS is equal in length to segment SR:
PS = SR
Substituting this into the perimeter equation, we have:
PQ + QS + PS + RP = 94
Since PS = SR, we can rewrite the equation as:
PQ + QS + SR + RP = 94
PQ + 2QS + 2SR = 94
Since QS + SR = QR, we have:
PQ + 2QR = 94
Since QR is half the perimeter of triangle PQR, we can determine its value:
QR = (94 / 2) = 47
Since QS + SR = QR, and PS = SR, we can conclude that:
QS = 47 - PS
Substituting this into the equation, we have:
PQ + 2(47 - PS) = 94
PQ + 94 - 2PS = 94
PQ - 2PS = 0
PQ = 2PS
Since PQ = 2PS, and we know that PQ + PS = 47, we can solve for PS:
2PS + PS = 47
3PS = 47
PS = 47 / 3 ≈ 15.7
PS is approximately 15.7 units. Since PS = SR, RS is also approximately 15.7 units.
Hence, P S is approximately 15.7 units and R S is approximately 15.7 units.
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A T-shirt printing company sells T-shirts for $15 each. The
company has a fixed cost for the machine used to print the
T-shirts and an additional cost per T-shirt. Use the table to
estimate the number of T-shirts the company must sell in order
for the income to equal expenses.
T-Shirt Printing Cost
Printing Machine $3000.00
Blank T-Shirt $5.00
Write an equation to represent the income and the expenses. Then
solve to find how many T-shirts need to be sold for both values to
be equal.
Answers
The linear function that models the problem of T-shirt printing company sales is
y = 2.50x + 3.50
The number of T-shirts to be sold to have equal income and expense is 300 T-shirts
How to model the required equationA linear function consists of functions where the variables has exponents of 1. The relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable
m = slope
x = input variable
c = y intercept
The equation as described in the problem is represented using linear function below
c = y intercept is the cost of the Printing Machine = $3000.00
m = cost of blank T-shirts = $5
assuming number of T shirts is x
y = expenses = 5x + 3000
income = 15x
For income to be equal to expenses
5x + 3000 = 15x
3000 = 15x - 5x
3000 = 10x
x = 300
300 T-shirts should be sold to have equal income and expense
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Find the product. (a-6)^2=
Answers
Answer:
a^2-12a+36
Step-by-step explanation:
;)
i bougth 3 bags of candy and 1 drink for 3.20 dollars. my sister bought 2 bags of candy and 4 drinks for 6.30 dollars. how much does each bag of candy and each drink cost?. may somebody explain me? please.
Answers
Answer:
Step-by-step explanation:
We can set up two equations: one for each sister:
Let C and D be the prices for a Candy bag and and Drink.
Sister 1: 3C + 1D = 3.20 [The total spent by sister 1 is the sum of 3 candy bags(C) and 1 drink (D), which comes to $3.20.]
Sister 2: 2C + 4D = 6.30 [The total spent by sister 2 is the sum of 2 candy bags(C) and 4 drinks (D), which comes to $6.30.]
We have two unknowns, C and D, BUT we have 2 equations. Therefore, we're likely going to be able to solve for C and D if we rearrange one of the equations to isolate one of the unknowns, and then use that expression in the other equation. Seems unlikely, but it always works.
I'll pick Sister 1's equation and solve for D, the price of a drink:
3C + 1D = 3.20
1D = 3.20 - 3C [This tells us the price of a drink is 3.20 - 3C]
Use this definition of 1D in Sister 2's equation:
2C + 4D = 6.30
2C + 4(3.20 - 3C) = 6.30
2C + 12.80 - 12C = 6.30
-10C = - 6.5
C = $0.65
One candy bag, C, is $0.65.
Use this value of C in any equation to find D, the cost of 1 drink. I'll pick The expression we derived above:
1D = 3.20 - 3C
1D = 3.20 - 3(0.65)
1D = 3.20 - 1.95
1D = $1.25
One drink, D, is $1.25.
===================
Check the values:
Candy Bags = $0.65 each Drinks = $1.25 each
Reported
Sister 1 2 1 2
Candy bags 3 2 $1.95 $1.30
Drinks 1 4 $1.25 $5.00
$3.20 $6.30 Calculated
$3.20 $6.30 Reported
T
A woodworker wants to cut a board that is 436.2 inches long into 6 equal pieces. How long will each of the cut boards be?
answer with work.
will give brainliest
Answers
Answer:
72.7 inches
Step-by-step explanation:
436.2 / 6 = 72.7
May You Please Help Me With This Problem
Answers
Answer:
x² + x - 8
Step-by-step explanation:
(f . g)(x) is same with (f(g(x))
so insert the g(x) equation into f(x) and change the x on it
f(g(x)) = g(x) - 2
f(g(x)) = (x² + x - 6) - 2 = x² + x - 6 - 2 = x² + x -8
so
(f.g)(x) is x² + x - 8
Demand and Consumer Surplus: Joe's demand for pizza can be described with this function: Q = 30 - 2P where Q is the number of slices of pizza consumed per week and Pis the price of a slice. a. Plot the demand curve, with P on the vertical axis and on the horizontal axis. Label the vertical and horizontal intercepts (5 points). b. Joe's total spending on pizza at P = 5 equals 20*5 = 100. His total spending on pizza at P=4 is 22*4 = 88. Without calculating the elasticity of demand directly, what do these total spending figures tell you about Joe's elasticity of demand for pizza between P= 5 and P=4? Explain. (5 points) c. Suppose P=9. Calculate Joe's consumer surplus at this price. (5 points) d. Suppose a rise in the price of tomatoes results in pizza prices rising to $15 (!) per slice. What is Joe's consumer surplus at this new price? (5 points)
Answers
The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.
What is the interpretation of Joe's total spending figures for pizza at different prices?a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.
On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.
b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.
Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.
c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.
The consumer surplus is given by (1/2) ˣ (9 - P) ˣ Q = (1/2) ˣ (9 - 9) ˣ 12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.
Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.
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