Solution :
As we can see from the following question that :
[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]
[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]
[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]
Now depending on the valuation that each buyer have on these three houses, they derive utility from it :
Buyer I
Valuation for house A, [tex]$V'_A=1$[/tex]
Valuation for house B, [tex]$V'_B=3$[/tex]
Valuation for house C, [tex]$V'_C=2$[/tex]
Utility that buyer I derives from :
House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]
House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]
As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.
Buyer II
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=5$[/tex]
Valuation for house C, [tex]$V^2_C=5$[/tex]
Utility that buyer II derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]
Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.
Buyer III
Valuation for house A, [tex]$V^2_A=5$[/tex]
Valuation for house B, [tex]$V^2_B=3$[/tex]
Valuation for house C, [tex]$V^2_C=2$[/tex]
Utility that buyer III derives from :
House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]
House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]
House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]
The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.
What is the perimeter of this shape? Use numbers only. *
Answer:
13
Step-by-step explanation:
The perimeter is all of the sides added together. Because this is a rectangle, the length and width are the same on both sides. They gave you the length and width, so just add them:
4 + 4 + 2.5 + 2.5 = 13.
So the perimeter of the shape is 13.
Answer:
13 m
Step-by-step explanation:
2.5 + 4 + 2.5 + 4
2.5 + 2.5 + 8
5 + 8
13
why is coal a non-renewable energy source
Find the coordinates of point B on AC such that AC is 6 times long as AB.
Answer:
I think it's 36 I'm not sure because you did give me more to go off of to help you sorry if it's wrong
40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct
Answer:
d
Step-by-step explanation:
d is .04 percent plz mark branliest
The hotel room tax in Festivity City is calculated using the function
7(x) = 0.06x + 4.5
where x is the cost in dollars of the room and 7(x) is the tax in dollars.
What is the tax on a room that costs $120?
HELP ASAP ILL GIVE U BEST ANWER THING
Answer: 11.70
Step-by-step explanation:
please help me i dont understand thank you!!
Answer:
32 units squared
Step-by-step explanation:
Split up the figure into easy to find area parts. So, theres 2 triangles, and in the middle of those, you can make a square. And that would make the top part a large triangle! Now find the area of these
Large triangle: 1/2 (4)(10) = 20
Smallest triangle: 1/2(2)(2) = 2
Medium triangle: 1/2(6)(2) = 6
Square: 2*2 = 4
Now add them all up! 20+2+6+4 = 32 units squared!
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Calculate the slope of the lines using the rise/run formula.
Answer:
1. 3/4 2. -1/3
Step-by-step explanation:
#1:
Given rise/run, the rise is 3, and the run, is 4, so... 3/4
#2:
Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.
Answer:
3. 3/4
4. -1/3
Step-by-step explanation:
Since the rise and run formula is slope = (y1-y2)/(x1-x2),
3. (2 - (-1) ) / (2- (-2) ) = 3/4
4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3
can someone help me really please
Answer:
bro I don't know seach on chome
Don invested $ 5 000 in an account paying 5% simple interest per year for 7 years.
Answer:
FV= $6,750
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the future value of the investment, we need to use the following formula:
FV= (P*r*t) + P
FV= (5,000*0.05*7) + 5,000
FV= 1,750 + 5,000
FV= $6,750
Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
Answer Choices:
A. 0.26
B. 0.56
C. 0.52
D. 0.31
If you answer back with a link your comment will be reported.
Solve the equation 8-2x=-8x+14
Answer:
x= -3/5
Step-by-step explanation:
Help pls!Pls and ty!
Answer:
a
Step-by-step explanation:
Find an equation for the inverse of each of the following relations. 1 y=-8x + 3. 
Answer:
given
y=-8x+3
Interchanging the role of x and y
x=-8y+3
x-3=-8y
y=(3-x)/8
Inverse is y=(3-x)/8 or y=-(x-3)/8
The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.
Answer:
7.11
Step-by-step explanation: Area=lengthxwdth
64=lengthx9
64/9=length
7.11=length
15 points, solve a right triangle. Please simplify your answers as it says in the picture.
Given:
In triangle EFG, [tex]EF=10\sqrt{2}, m\angle G=90^\circ,m\angle E=60^\circ[/tex].
To find:
The measures of FG, EG and angle F.
Solution:
In triangle EFG,
[tex]m\angle E+m\angle F+m\angle G=180^\circ[/tex] [Angle sum property]
[tex]60^\circ+m\angle F+90^\circ=180^\circ[/tex]
[tex]m\angle F+150^\circ=180^\circ[/tex]
[tex]m\angle F=180^\circ-150^\circ[/tex]
[tex]m\angle F=30^\circ[/tex]
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin E=\dfrac{FG}{EF}[/tex]
[tex]\sin (60^\circ)=\dfrac{FG}{10\sqrt{2}}[/tex]
[tex]\dfrac{\sqrt{3}}{2}\times 10\sqrt{2}=FG[/tex]
[tex]5\sqrt{6}=FG[/tex]
Similarly,
[tex]\sin F=\dfrac{EG}{EF}[/tex]
[tex]\sin (30^\circ)=\dfrac{EG}{10\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}\times 10\sqrt{2}=EG[/tex]
[tex]5\sqrt{2}=EG[/tex]
Therefore, the required measures are [tex]FG=5\sqrt{6}, EG=5\sqrt{2}, m\angle F=30^\circ[/tex].
Write the ratios for sin A and cos A.
Answer:
Step-by-step explanation:
I am pretty sure it is B because if you do SOH CAH TOA you get that
2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)
Answer:
0.4
Step-by-step explanation:
which is greater? 0.04 or 0.39
Answer:
0.39
Step-by-step explanation:
think about it this way, if you take away the decimal it would be 39 and 04. 04 is another way to write 4 and 4 is less than 39. so 0.04 is less than 0.39
Answer:
0.04 > - 0.39
Step-by-step explanation:
0.04 > - 0.39
A bus makes a stop at 2:30, letting off 10 people and letting on 3. The bus makes another stop ten minutes later to let off 2 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE
Answer: d is correct
Step-by-step explanation:
Answer: what is the question
Step-by-step explanation:
find the height of a triangle with an area of 156 square kilometers and a base that measures 24 kilometers
Pete's Pizza has a mean delivery time of 29 minutes with a standard deviation of 3 minutes. Determine the z-score for the number of pizzas delivered in less than 25 minutes.
Answer:
9 pizzas
Step-by-step explanation:
the right aswer is -1.33
• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.
Answer:
12/15
Step-by-step explanation:
3x5=15
4x3=12
15-12=3
Therefore the answer is 12 over 15
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Find the volume of the cone. Round your answer to the nearest hundredth.
A) 129.72m^3
B) 134.04m^3
C) 137.71m^3
D) 143.04
Answer:
can we get the figure plz
It is commonly said that 10 of people are left-handed, but Lilianna suspected that a higher proportion of art students at her university are left-handed. To test this theory, she took a sample of 150 art students and found that p^=14% of the sample was left-handed.
To see how likely a sample like this was to happen by random chance alone, Lilianna performed a simulation. She took a sample of n=150 students from a population where 10% of the students were left-handed, and she recorded what proportion of the sample was left-handed. She repeated this process for a total of 50 samples. Here are the sample proportions from her 50 samples:
She wants to test H0:p=10% vs. Ha:p>10% where p is the proportion of art students at her university who are left-handed.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was p^=14%.
Answer: p-value ≈ 0.08
Step-by-step explanation:
The approximate p-value of the test is 0.0136 as per the data given in question.
What is p-value?The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.
To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.
Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.
We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:
z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)
Plugging in the values, we get:
z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)
z = 2.22
The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.
Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.
Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.
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What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9
Answer: Center (3,-5); radius 3
Step-by-step explanation:
The center and radius of the circle defined by the equation is (3, -5) and 3.
What is Equation of Circle?The standard equation of a circle is given by:
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
We have Equation,
x² + y² -6x + 10y +25= 0
Now, rearranging the terms
x² -6x + y² +10y +25 = 0
Now, add and subtract 9
x² -6x + 9 + y² +10y +25 -9 = 0
(x-3)² + (y+5)² = 3²
(x- 3)² + y(-(-5))² = 3²
So, the Centre of Circle is (3, -5) and the radius is 3.
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Select the correct answer.
Point P is the centroid of triangle JKL.
R
16
30
S
What is QL?
OA 32
OB. 45
OC 46
OD
48
OE. 64
Reset
Next
Answer:
D. 48
Step-by-step explanation:
QP = 16 (given)
LP = ?
Given that P is the centroid of the triangle, therefore:
QP = ⅓(QL) (based on the centroid theorem)
Plug in the value
16 = ⅓(QL)
Multiply both side by 3
3*16 = QL
48 = QL
QL = 48
peter weighs is 105 kg he wants to lose 500 g per week how many weeks will it take for him to have a mass of 90 kg ?
Answer:
it will take him 30 weeks
Step-by-step explanation:
2 weeks = 1 kilogram lost
105-90=15
1 x 15 = 15
2 x 15 = 30