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.
Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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Which of the following choices can be considered binomial random variables?
Choose all answers that apply:
A
A container holds 100 pens, half of which are red. Select an SRS of 5 pens and let R= the
number of red pens obtained.
в)
A container holds 1000 pens, half of which are red. Select an SRS of 5 pens and let S = the
number of red pens obtained.
A container holds 20 pens, half of which are red. Select an SRS of 5 pens and let Q = the
number of red pens obtained.
Answer: A and B
Step-by-step explanation:
Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.
A binomial random variable is such that can take either of two possibilities at the same time.
Samples R and S can be considered as binomial random variables
For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.
So, we have the following highlights
Container A
[tex]n =100[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{100}{5}[/tex]
[tex]\frac nx = 20[/tex]
This means that the population is 20 times the sample size.
Hence, R is a binomial random variable.
Container B
[tex]n =1000[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{1000}{5}[/tex]
[tex]\frac nx = 200[/tex]
This means that the population is 200 times the sample size.
Hence, S is a binomial random variable.
Container C
[tex]n =20[/tex]
[tex]x = 5[/tex]
Divide n by x
[tex]\frac nx = \frac{20}{5}[/tex]
[tex]\frac nx = 4[/tex]
This means that the population is 4 times the sample size.
Hence, Q is not a binomial random variable.
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There are 12 chickens.
Every week each chicken lays 3 eggs.
What is the totai number of eggs iaid in 7 weeks?
You must show your working.
Answer:
252 eggs in 7 weeks
Step-by-step explanation:
[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug. If 5,000 people took the drug, which of the following is closest to the interval estimate of the number of people who would indicate they were experiencing side effects from the drug at a 95 percent level of confidence?
a. (0.313,0.447)
b. (0.324, 0.436)
c. (65,87)
d. (1565, 2235)
e. (1620, 2180)
Answer:
a. (0.313,0.447)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.
This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]
The correct answer is given by option A.
Which expression is equivalent to 3/5?
A
3 × 5
B
3 + 5
C
3 ÷ 5
D
3 − 5
Which of the following is a result of shifting a circle with equation
(x-3)2 + (x - 5)2 = 36
down 2 units?
A. The x-coordinate of the center of the circle decreases by 2.
B. The y-coordinate of the center of the circle decreases by 2.
C. Both the x- and y-coordinates of the center of the circle decrease
by 2.
D. Both the x- and y-coordinates of the center of the circle increase
by 2.
The y-coordinate of the center of the circle decreases by 2. The correct option is B.
What is shifting of the circle?Shifting a circle means moving it to a new coordinate plane location without changing its size or shape.
This can be accomplished by adding or subtracting a constant value from one or both of the circle's centre coordinates.
Shifting a circle is useful in geometry and algebraic problem solving because it allows us to investigate how a circle's position affects its relationship to other shapes and objects on the coordinate plane.
To shift the circle down 2 units, we need to subtract 2 from the y-coordinate of the center. The center of the circle has coordinates (3, 5), so shifting it down 2 units results in a new center at (3, 5 - 2) = (3, 3).
Therefore, the correct answer is B. The y-coordinate of the center of the circle decreases by 2.
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If f(x) = 3-2x and g(x) = 1/x+5 , what is the value of (f/g) (8)
Answer: [tex]-\frac{104}{41}[/tex]
Step-by-step explanation:
[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]
Find the equation of the tangent at the point (1.1) for the function Y given in the equation
xy^2 + y = 2x
If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.
Compute the derivative using implicit differentiation:
d/dx [xy ^2 + y] = d/dx [2x]
d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]
(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2
2xy dy/dx + y ^2 + dy/dx = 2
(2xy + 1) dy/dx = 2 - y ^2
dy/dx = (2 - y ^2) / (2xy + 1)
Plug in x = 1 and y = 1 :
slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3
Now use the point-slope formula to get the equation of the line:
y - 1 = 1/3 (x - 1)
y = x/3 + 2/3
I really need help what's the answer??
Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length. what is the length of the floor?
Width x Length
X = Length
[tex]\frac{1}{3}[/tex] = 507
[tex]x^{2}[/tex] = 1521 [tex]ft^{2}[/tex]
X = 39[tex]ft[/tex]
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
C. 78 cubic meters
D. 62 cubic meters
Answer:78
Step-by-step explanation:
Did it
1. Based on the construction below, which conclusion
is not always true?
OA. AB 1 CD
OB. AB = CD
OC. AE = EB
OD. CE = DE
Answer: B ,I just completed the assignment
AB=CD is not always true. Therefore, option B is the correct answer.
From the given construction, we need to find which conclusion is not always true.
What is a line bisector?A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.
Here, AB⊥CD.
Since CD is the perpendicular bisector of AB.
AE=EB and CE=DE
AB=CD is not always true. Therefore, option B is the correct answer.
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A car dealership sells 3 types of vehicles (cars, trucks, SUVs) that come in 5 different colors (blue, black, white, silver, red). Which table represents the sample space of randomly selecting a vehicle from the dealership? (DOK 1)
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
Table B
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Truck Blue Truck Black Truck White Truck Silver Truck Red Truck
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table C
Blue Black White Silver Red
Car Blue Car Black Car White Car Silver Car Red Car
Car Blue Car Black Car White Car Silver Car Red Car
SUV Blue SUV Black SUV White SUV Silver SUV Red SUV
Table D
Black White Black White Red
Car Black Car White Car Black Car White Car Red Car
Truck Black Truck White Truck Black Truck White Truck Red Truck
SUV Black SUV White SUV Black SUV White SUV Red SUV
Select one:
Table B
Table A
Table C
Table D
Step-by-step explanation:
Table A
Blue Black White Silver Red
Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle
hope it is helpful to you
You own a gas station. You are supervising the filling of the station's cylindrical fuel tank. The fuel tank has a height of
36 feet and can hold 2,500 cubic yards of fuel.
Based on these specifications, what is the radius of the fuel tank, rounded to the nearest hundredth of a yard?
0 4.70
08.15
22.12
25.58
66.35
Answer:
8.15
Step-by-step explanation:
I need the answer fast
Answer:
84
Step-by-step explanation:
Answer:
it would either be 2 or 26
Step-by-step explanation:
pls mark braainlieszt
These triangles are:
A) congruent,
B) similar or
C) neither
Answer:
there is no photo
Step-by-step explanation:
Finding missing angles
Answer:
95
Step-by-step explanation:
[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]
Please help! Brainlyest answer!!
Answer:
The first number line
Step-by-step explanation:
.05m + 50 < 55
Subtract 50 from both sides
.05m < 5
Divide both sides by .05
m < 100
The first number line
i need help asap someone please help me asap
Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So taking 2 points (0,0) and (60,120)
we have slope = (120-0)/(60-0) = 120/60 = 2
general equation of linear graph is y=mx+b with m be the slope
so y=2x+b
Now to find b, just plug any point of the graph in, such as (0,0)
so we get something like 0=2(0) + b => b=0
So your equation is y=2x
Ryan is going to invest in an account paying an interest rate of 1.5%
compounded continuously. How much would Ryan need to invest, to the
nearest ten dollars, for the value of the account to reach $2,600 in 5 years?
Step-by-step explanation:
2,360×8=2,360 two thundered three hundred and sixty
help me please and thank u

Answer:
12.625 gets you a sucky car
Step-by-step explanation:
Subjects in a study by Dabonneville et al. (A-9) included a sample of 40 men who claimed to engage in a variety of sports activities (multisport). The mean body mass index (BMI) for these men was 22.41 with a standard deviation of 1.27. A sample of 24 male rugby players had a mean BMI of 27.75 with a standard deviation of 2.64. Is there sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men? Let a ¼ :01.
Answer:
The responses can be defined as follows:
Step-by-step explanation:
Given:
[tex]H_o : \mu_1 = \mu_2\\\\H_a : \mu_1 < \mu_2[/tex]
Testing the hypothesis:
[tex]Z=\frac{( \bar{x_1}-\bar{x_2})}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]
[tex]=\frac{(22.41-27.75)}{\sqrt{(\frac{1.27^2}{40}+\frac{2.64^2}{24})}}\\\\=-9.29\\\\[/tex]
[tex]a=0.01[/tex]
critical value [tex]Z(0.01)=-2.33[/tex] (using the standard normal table)
[tex]Z=-9.29<-2.33[/tex] so, we reject [tex]H_o[/tex].
Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
At the null hypothesis, it is tested that rugby players do not have a higher BMI than the multi-sport men, that is, the subtraction of the means is not greater than 0, hence:
[tex]H_0: \mu_R - \mu_M \leq 0[/tex]
At the alternative hypothesis, it is tested if they have a higher BMI, that is:
[tex]H_1: \mu_R - \mu_M > 0[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used.
The standard errors are given by:
[tex]s_M = \frac{1.27}{\sqrt{40}} = 0.2008[/tex]
[tex]s_R = \frac{2.64}{\sqrt{24}} = 0.5389[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_R - \mu_M = 27.75 - 22.41 = 5.34[/tex]
[tex]s = \sqrt{s_M^2 + s_R^2} = \sqrt{0.2008^2 + 0.5389^2} = 0.5751[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{5.34 - 0}{0.5751}[/tex]
[tex]t = 9.29[/tex]
Using a t-distribution calculator, for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 40 + 24 - 2 = 62 df, the critical value is of [tex]t^{\ast} = 1.67[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
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A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool?
Answer:
25.08
Step-by-step explanation:
Answer:
25.08 cubic feet
Step-by-step explanation:
v = l * w * h
v = 5.5 * 3.8 * 1.2
v = 25.08 cubic feet
Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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URGENT NEED HELP CLICK TO SEE
Answer:
35
Step-by-step explanation:
- x - = +
Therefore :
-5 x - 7 = 35
Topic Test
Find the coordinates of PQ with endpoints P(2, -4) and Q(4, 2) under the translation left 3 units and up 4 units.
a. P'(-2, -4) and Q'(-4, -2)
b. P'(-1, 0) and Q'(1, 6)
c. P'(5, -1) and Q'(-2, -2)
d. P'(0, -7) and Q'(1, -1)
Please select the best answer from the choices provided
Answer:
B. P'(-1, 0) and Q'(1, 6)
Step-by-step explanation:
Please select the best answer from the choices provided
Answer:
The answer is A. P'(-2, -4) and Q'(-4, -2)
Step-by-step explanation:
OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!
If x = -3 and y = 4 find the value of : x(3x + 4y)
Answer:
-21
Step-by-step explanation:
(−3)((3)(−3)+(4)(4))
=(−3)((3)(−3))+(−3)((4)(4))
=27−48
=−21
What’s the correct answer? I will mark as brainlest
Answer:
Dear your answer is 9
so , please mark me as brainliestTHANK YOU
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
plelalslwlwlwe helpppppppp!!!
Answer:
c
Step-by-step explanation:
Answer:
The answer is B [4.5x + 15]
Step-by-step
The triangle is an equilateral, so you can use the same formula on each side.
1.5x x 3 = 4.5x
5 x 3 = 15