Find the length of side x in simplest radical form with a rational denominator

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

We solve that above question using the trigonometric function of Tangent

Tan theta = Opposite/Adjacent

Theta = 45°

Opposite = 6

Adjacent = x

tan 45° = 6/x

tan 45 in rational form = 1

1 = 6/x

Cross Multiply

x = 6


Related Questions

EH is a diameter is D. The measure of EF is (10x + 8) and the measure of GH is (11x). What's the value of X

Answers

Answer:

x = 5°

EF = 58°

GH = 55°

Step-by-step explanation:

From The diagram :

Recall ; Angle on a straight line = 180°

This means :

EF + FG + GH = 180

EF = (10x + 8)°

GH = (11x)°

FG = 67°

HENCE;

10x + 8 + 11x + 67 = 180

21x + 75° = 180°

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

EF = 10x + 8 = 50 + 8 = 58°

GH = 11x = 11 * 5 = 55°

Consider the subtraction problem, 2013 - 40, for which Allie gets the answer 1073. What is most likely Allie's misunderstanding, and, if uncorrected, what would Allie's answer be for 304 - 9?

Answers

The correct answer is 295.

If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.

We have,

Based on the given information, Allie's misunderstanding is likely related to the concept of regrouping or borrowing when performing subtraction.

Allie may not have correctly subtracted the tens digit from the hundreds digit, resulting in an incorrect answer.

If Allie's misunderstanding is not corrected, her answer for 304 - 9 would also be incorrect.

Let's calculate it correctly:

When subtracting 9 from 304, we start with the one digit: 4 - 9.

However, since 4 is smaller than 9, we need to borrow from the tens digit. Therefore, we regroup 1 ten as 10 ones, making the tens digit 3 - 1 = 2, and the one's digit becomes 14 - 9 = 5.

Thus,

The correct answer is 295.

If Allie's misunderstanding is not corrected, she might incorrectly subtract 9 from 304 and get an incorrect answer.

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Please help and explain!

Find the total surface area shown down below

Ignore the colors!

Answers

first you find the square and the are of the square would be 7*4=28.

then you move on to the triangles the purple ones together are 7 * 5 = 35 , since there’s 2 you don’t have to divide the area by 2 just use it as the combined for both

then black same thing 4*3 = 12

so
12+35+28=75

State a decomposition theorem for finite generated modules over the PID a Z(p) = {{ = : a : a,b € Z and płb}.

Answers

Decomposition theorem for finite generated modules over the PID $\mathbb{Z}(p) = \{a = (a, b) \in \mathbb{Z} \times \mathbb{Z} | p | ab\}.$

The decomposition theorem states that any finite generated module over a principal ideal domain can be written as a direct sum of finitely many cyclic submodules. Additionally, these cyclic submodules are uniquely determined up to isomorphism, which means that the module has a unique decomposition up to isomorphism. In the case of $\mathbb{Z}(p)$, we can write it as a direct sum of cyclic submodules generated by elements of the form $p^k$ for $k \in \mathbb{Z}$. This decomposition is unique up to isomorphism. The primary decomposition theorem enables us to represent a vector space as a direct sum of invariant subspaces by using the smallest polynomial of a matrix. It is essential to comprehending and interpreting the data the minimal polynomial provides.

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Find the volume of this cylinder.
Round to the nearest tenth.
8ft
-5ft
[?] ft3

Answers

Answer:

628 ft

Step-by-step explanation:

The volume of cylinder is, V= 628 ft³.

What is Volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given:

radius,r= 5 ft, height, h = 8 ft

Volume= πr²h

V= 3.14 * 5 *5 * 8

V= 628 ft³

Hence, the volume of cylinder is 628 ft³.

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6v=-9 v= what does v =

Answers

Answer:

v = -3/2

Step-by-step explanation:

6v = -9

v = -9/6

v = -3/2

pls help 42−6×4(12)3=

Answers

Answer:

-822

Step-by-step explanation:

i just typed it in the calculator

but if you're doing it by hand, 1st multiply 4*12*3*6 and then subtract 42 from it

(PLEASE PLEASE HELP)
Find the area of the triangle.

Answers

Answer:

40.2 in²

Step-by-step explanation:

h*b/2

h= 6.7

b= 12

A triangle with a perimeter of 139 units is dilated by a scale factor of 1/4. Find the perimeter of the triangle after dilation. Round your answer to the nearest tenth, if necessary.​

Answers

Answer:

173.8 units

Step-by-step explanation:

If it's asking for a

139 * 1/4= x

34.75= x

34.75 + 139= 173.75

round to get 173.8

find the volume of the solid enclosed by the surface z = 1 −x2 −y2 and the xy-plane.

Answers

The integral becomes:

V = ∫₀¹ ∫₀²π (1 − r²) r dθ dr

To find the volume of the solid enclosed by the surface z = 1 − x² − y² and the xy-plane, we need to integrate the function f(x, y) = 1 − x² − y² over the region in the xy-plane where z is positive.

Since the surface z = 1 − x² − y² represents a downward-opening paraboloid, we can set up the integral as follows:

V = ∬R (1 − x² − y²) dA

Here, R represents the region in the xy-plane bounded by the curve x² + y² = 1. To evaluate this integral, we can switch to polar coordinates. In polar coordinates, the region R corresponds to the interval 0 ≤ θ ≤ 2π and 0 ≤ r ≤ 1. The differential area element dA in polar coordinates is r dr dθ.

Evaluating this double integral will give us the volume of the solid enclosed by the surface and the xy-plane.

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Find a harmonic conjugate v(x, y) of u(x, y) = 2x(1 - y)

Answers

The harmonic conjugate of u(x, y) = 2x(1 - y) is v(x, y) = 2y - y² - x² + C, where C is an arbitrary constant.

How to find the harmoic conjugate?

Here we want to find the harmonic conjugate of:

u(x, y) = 2x*(1 - y)

To do so, we need to use the Cauchy-Riemann equations state that for a function f(z) = u(x, y) + iv(x, y) to be analytic (holomorphic), the partial derivatives of u and v must satisfy the following conditions:

∂u/∂x = ∂v/∂y

∂u/∂y = -∂v/∂x

Let's find the harmonic conjugate by solving these equations:

Given u(x, y) = 2x(1 - y)

∂u/∂x = 2(1 - y)

∂u/∂y = -2x

Setting these derivatives equal to the respective partial derivatives of v:

∂v/∂y = 2(1 - y)

∂v/∂x = -2x

Now, integrate the first equation with respect to y, treating x as a constant:

v(x, y) = 2y - y² + f(x)

Differentiate the obtained equation with respect to x:

∂v/∂x = f'(x)

Comparing this derivative with the second equation, we have:

f'(x) = -2x

Integrating f'(x) with respect to x:

f(x) = -x² + C

where C is a constant of integration.

Now, substitute f(x) into the equation for v(x, y):

v(x, y) = 2y - y² - x² + C

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Help please I’m trying to go to sleep

Answers

Answer: y > -4 (red)

Step-by-step explanation:

word form? 132 = 132

Answers

Answer:

one hundred thirty-two

Step-by-step explanation:

should be it if it is can i get brainliest?

I NEED HELP!! with this homework please. For B,C,and D, if you know the answer please tell me I’m kinda confused.


I’ll make you a brainlist for the reward:)

Answers

Answer:

Step-by-step explanation:

       Location    Reflect over x              Reflect over y

B      -0.75 ,1         -0.75 ,-1                           +0.75 ,1

C     1.75 ,-1          1.75,1                                 -1.75,+1

D      -2,-2           -2,+2                                  +2 ,-2

Using the greatest common factor (GCF), what is the factored form of: 24v-36

Answers

Answer:

12(2v - 3)

Step-by-step explanation:

GCF of 24 and 36 is 12

24v - 36

12(2v - 3)

HELPPPPPP!!!!!!!!!!!!!!!!

Answers

Answer: [tex]w\geq 20[/tex]

Step-by-step explanation:

Solve this like it's an equation

6w+30>150 (i know it is larger than or equal to)

6w>120

w>120/6

w>20

Answer:

The answer is 20

Step-by-step explanation:

6w+30≥150

6w≥150-30

6w≥120

divide both sides by 6

6w/6≥120/6

w≥20

we can say

w=20 since w is greater than or equal to

If f(x) = 2x³ + Ax² +8x-3 and f(2)= 1, what is the value of A?

Answers

the value of A in the function f(x) = 2x³ + Ax² + 8x - 3 is -7.

To find the value of A in the function f(x) = 2x³ + Ax² + 8x - 3, we are given that f(2) = 1. Substituting x = 2 into the function, we have:

f(2) = 2(2)³ + A(2)² + 8(2) - 3

Simplifying further:

1 = 2(8) + 4A + 16 - 3

1 = 16 + 4A + 13

Combining like terms:

1 = 29 + 4A

To isolate A, we subtract 29 from both sides:

-28 = 4A

Finally, we divide both sides by 4 to solve for A:

A = -7

Therefore, the value of A in the function f(x) = 2x³ + Ax² + 8x - 3 is -7.

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By inspection, determine if each of the sets is linearly dependent.
(a) S = {(1, 3), (3, 2), (-2, 6)}
O linearly independent
O linearly dependent
(b) S = {(1, -5, 4), (4, -20, 16)}
O linearly independent
O linearly dependent
(c) S = {(0, 0), (1, 0)}
O linearly independent
O linearly dependent

Answers

(a) S = {(1, 3), (3, 2), (-2, 6)} O linearly independent set, (b) S = {(1, -5, 4), (4, -20, 16)} O linearly dependent and (c) S = {(0, 0), (1, 0)} O linearly dependent.

(a) S = {(1, 3), (3, 2), (-2, 6)}

O linearly independent set

S is linearly independent because no vector in S can be expressed as a linear combination of the others, without considering the coefficients all equal to zero.

(b) S = {(1, -5, 4), (4, -20, 16)}

O linearly dependent

We can see that 4 × (1, −5, 4) = (4, −20, 16).

Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(1, −5, 4) + b(4, −20, 16) = 0.

(c) S = {(0, 0), (1, 0)}

O linearly dependent

vector (0, 0) is a linear combination of (1, 0) because 0(1, 0) = (0, 0).

Thus, S is linearly dependent because there are non-zero scalars a,b that satisfies a(0, 0) + b(1, 0) = 0.

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Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x

Answers

The correct answer is C. If you distribute the equation, you would get 2x + 2. Hope this helps!

Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in yards Hilary walked? Use the conversion chart below to solve.

Answers

Answer:

37 yards

Step-by-step explanation:

Given data

Distance from house to the library= 18 yards

Distance from  the library to the post office= 288 feet

Total distance in yards, first let us have all units to yards

288ft to yard= 96 yards

Hence the total distance in yards is

=18+19

=37 yards

Given that CAT = DOG select all statements that are true,

Answers

Answer:

The answer to this problem Is A I think

Step-by-step explanation:

It’s A or B but I mostly think A just good luck

write an expression describing all the angles that are coterminal with 358°. (please use the variable in your answer. give your answer in degrees, but do not include a degree symbol in your answer.)

Answers

Answer:  358 + 360n   where n is an integer

Reason:

Coterminal angles point in the same direction.

We add on multiples of 360 to rotate a full circle, and we get back to the same direction that 358 degrees points in (almost directly to the east). The variable n is an integer {..., -3, -2, -1, 0, 1, 2, 3, ...}

If n is negative, then we subtract off multiples of 360.

in a certain lottery, you must correctly select 5 numbers (in any order) out of 29 to win. you purchase one lottery ticket. what is the probability that you will win?

Answers

To calculate the probability of winning a certain lottery where you must select 5 numbers out of 29 in any order, we can use the concept of combinations. The probability of winning can be determined by dividing the number of successful outcomes (winning combinations) by the total number of possible outcomes.

In this lottery, you need to select 5 numbers out of 29, and the order of selection doesn't matter. The total number of possible outcomes is given by the combination formula, which is denoted as C(29, 5) and calculated as

29! / (5! * (29-5)!).

To win, you have only one successful outcome, which is the combination of the 5 winning numbers. Therefore, the probability of winning can be calculated as 1 / C(29, 5). Evaluating this expression will give you the probability of winning the lottery with a single-ticket purchase.  

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How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone

Answers

Answer:

Multiply the volume of the cone by 3

Step-by-step explanation:

Required

Volume of a cylinder from a cone of the same dimension

The volume of a cone is:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is:

[tex]V_2 = \pi r^2h[/tex]

Recall that:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

Split:

[tex]V_1 = \frac{1}{3}*[\pi r^2h][/tex]

Substitute: [tex]V_2 = \pi r^2h[/tex]

[tex]V_1 = \frac{1}{3}*V_2[/tex]

Make V2 the subject

[tex]V_2 =3V_1[/tex]

This implies that, we simply multiply the volume of the cone by 3

WHAT DOES THE WORD MILD MEAN
A HUMID
B MOSTLY COULD
C NO TOO HOT OR TOO COLD
D NEVER THE SAME

Answers

Answer:

C NO TOO HOT OR TOO COLD

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Brainliest plz

(a) Find the determinant of the given matrix M. Show all your work. 2 2 -1 9 M= 4 2 8 8 1 17 24 0 10-13 1 determinant of the matrix -2B³A-CTB-¹AT.
(b) Let A, B, C be 3 x 3 matrices with det A= -2

Answers

In part (a) of the problem, the task is to find the determinant of the given matrix M by showing all the steps of the calculation. In part (b), we are given three matrices A, B, and C with det A = -2.

(a) To find the determinant of matrix M, we can use various methods such as cofactor expansion or row operations. Let's use cofactor expansion along the first row:

det M = 2 * (-1)^(1+1) * det [[2 8 0] [17 24 0] [10 -13 1]]

- 2 * (-1)^(1+2) * det [[4 8 0] [1 24 0] [10 -13 1]]

Simplifying and evaluating the determinants of the 2x2 matrices, we get:

det M = 2 * (2 * 24 - 17 * (-13))

- 2 * (4 * 24 - 1 * (-13))

After performing the calculations, we find the determinant of matrix M.

(b) The given information states that det A = -2. However, no specific task or question is mentioned regarding matrices A, B, and C. Further instructions or requirements are needed to provide a specific answer or analysis based on the given information.

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Rating the contingency table to the right to (a) calculate the nal frequencies, and (b) find the expected frequency for call in the contingency table. Assume that the variables ndependent Size of restaurant Seats 100 or fewer Seats over 100 Excent 182 185 200 316 + alculate the marginal frequencies and samples stre of restaurant Seats 100 or fewer Seats over 100 Total Excellent 182 186 368 Rating Fair 200 316 516 Poor 161 155 356 Total 513 557 1200 And the expected frequency for each of in the contingency table Rating Excellent Poor e of restaurant Beats 100 or fewer Beats over 100 Round to two decimal places as needed Ip me solve this View an example Get more help Clear all Check on & MacBook Air.

Answers

(a) To calculate the final frequencies in the contingency table, we need to sum up the frequencies for each combination of variables. The final frequencies are as follows:

Size of restaurant: Seats 100 or fewer

- Excellent: 182

- Fair: 200

- Poor: 161

Size of restaurant: Seats over 100

- Excellent: 186

- Fair: 316

- Poor: 155

(b) To find the expected frequency for each cell in the contingency table, we can use the formula:

Expected Frequency = (row total * column total) / grand total

The expected frequencies for each cell in the contingency table are as follows:

Size of restaurant: Seats 100 or fewer

- Excellent: (513 * 368) / 1200 ≈ 157.60

- Fair: (513 * 516) / 1200 ≈ 220.95

- Poor: (513 * 356) / 1200 ≈ 151.77

Size of restaurant: Seats over 100

- Excellent: (557 * 368) / 1200 ≈ 171.53

- Fair: (557 * 516) / 1200 ≈ 237.85

- Poor: (557 * 356) / 1200 ≈ 164.62

(a) The final frequencies in the contingency table are obtained by summing up the frequencies for each combination of the variables "Size of restaurant" and "Rating." This gives us the observed frequencies for each category.

(b) The expected frequency for each cell is calculated using the formula mentioned above. It considers the row total, column total, and grand total of the contingency table.

The expected frequencies represent the frequencies we would expect to see in each cell if the variables were independent of each other. These values are used to assess the association between the two variables.

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bro please i need the correct answer i will give u a brainliest to please i really need help

Answers

Answer:

A

Step-by-step explanation:

Because I am smart and u best mark me brainlist

The information for this question was obtained from the study linked here.) When a person consumes a drug, the drug is absorbed into the bloodstream over a period of time. In this question, we investigate the peak concentration of a drug in the blood stream. Caffeine is a drug that is absorbed and eliminated according to first-order kinetics. Suppose that a person's rate of caffeine absorption is 8 and that the person's rate of elimination is 7. Then after a dose D of caffeine, the concentration c of caffeine in the person's blood as of time t is given by
c(t)=(D/(1-(7/8))((e^-7t)-(e^-8))
Find the exact time at which the maximum concentration occurs.
t= ___

Answers

The exact time at which the maximum concentration occurs is given by: [tex]t = (ln(7/8) + 8) / 7[/tex]

To find the exact time at which the maximum concentration occurs, we need to determine the value of t that maximizes the concentration function c(t).

Given the concentration function:

[tex]c(t) = (D / (1 - (7/8))) * ((e^{-7t}) - (e^{-8}))[/tex]

To find the maximum concentration, we can differentiate c(t) with respect to t and set the derivative equal to zero, then solve for t.

Differentiating c(t) with respect to t:

[tex]c'(t) = (D / (1 - (7/8))) * ((-7e^{-7t}) - (-8e^{-8}))\\ = (D / (1 - (7/8))) * (-7e^{-7t} + 8e^{-8})[/tex]

Setting c'(t) equal to zero:

[tex](D / (1 - (7/8))) * (-7e^{-7t} + 8e^{-8}) = 0[/tex]

Since D is a positive constant, we can ignore it in the equation. So we have:

[tex]-7e^{-7t} + 8e^{-8} = 0[/tex]

[tex]-7 + 8e^{-8+7t} = 0\\8e^{-8+7t} = 7\\e^{-8+7t} = 7/8\\-8 + 7t = ln(7/8)\\7t = ln(7/8) + 8\\t = (ln(7/8) + 8) / 7[/tex]

Therefore, the exact time at which the maximum concentration occurs is given by: t = (ln(7/8) + 8) / 7

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3. The ratio of the side lengths of a pentagon is 1:3:4:6:9, and the perimeter is 115 yds. What is the measure of the 3rd longest side?

Answers

Answer:

20 yards

Step-by-step explanation:

By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x

We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.

We can solve that for x, so we can find each side measurements' numerical value.

(1+3+4+6+9)x=115

(23)x=115

x=115/23

x=5

So the side measurements are:

1x=1(5)=5

3x=3(5)=15

4x=4(5)=20

6x=6(5)=30

9x=9(5)=45

The third longest sife is 20 yards.

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Tropicsun has citrus processing plants in Ocala, Orlando, and Leesburg with processing capacities to handle 200,000; 600,000; and 225,000 bushels, respectively. Tropicsun contracts with a local trucking company to transport its fruit from the groves to the processing plants. The trucking company charges a flat rate of $8 per mile regardless of how many bushels of fruit are transported. The following table summarizes the distances (in miles) between each grove and processing plant:Distances (in Miles) Between groves and PlantsProcessing PlantGroveOcalaOrlandoLeesburgMt. Dora215040Eustis353022Clermont552025Tropicsun wants to determine how many bushels to ship from each grove to each processing plant in order to minimize the total transportation cost.a. Formulate an ILP model for this problem.b. Create a spreadsheet model for this problem and solve it.c. What is the optimal solution? Dongguk Industry, adopting Perpetual Inventory recording system, recorded two inventory layers by the end of June 30- 1 100 units x unit cost $20 (purchased on June 25) 80 units x unit cost $22 Dongguk Industry physically counted to identify 175 units and Net Realiable Value is valued at $19 per unit. If the company uses FIFO cost flow assumption, what are the inventory shrinkage loss and inventory valuation loss? a. Inventory shrinkage loss: $100. b. Inventory shrinkage loss: $95. c. Inventory shrinkage loss: $105. d. Inventory shrinkage loss: $110. Inventory valuation loss: $335 Inventory valuation loss: $340 Inventory valuation loss: $330 Inventory valuation loss: $325 vetem? A motorcycle daredevil is attempting to jump from one ramp onto another. The takeoff ramp makes an angle of 18.0o above the horizontal, and the landing ramp is identical. The cyclist leaves the ramp with a speed of 33.5 m/s. What is the maximum distance that the landing ramp can be placed from the takeoff ramp so that the cyclist still lands on it? Given six integers chosen randomly. Prove the sum or difference of two of them is divisible by 9. [Hint: Any number n can be represented as one of the five cases: 9k, 9k31, 9k+2, 9k:3, 9k+4] Amy Lloyd is interested in leasing a new car and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36 month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow: Dealer Monthly Cost Mileage Cost per Allowance Additional Mile $289 35,000 $0.15 Dealer Dealer B Dealer $300 45.000 $0.20 5315 54,000 $0.15 Amy decided to choose the lease option that will minimize her total 36- month cost. The difficulty is that Amy is not sure how many miles she will drive over the next three years. For purposes of this decision she believes it is reasonable to assume that she will drive 12,000 miles per year, 15,000 miles per year, or 18,000 miles per year. With this assumption Amy estimated her total costs for the three lease options. For example, she figures that the Dealer Alease will cost her 36($289) + $0.15(36,000 - 36,000) - $10,404 if she drives 12,000 miles per year 36(5289) - $0.15[45,000 - 36,000) - $11.754 if she drives 15,000 miles per year, or 36($289) + $0.15(54,000 - 36,000) - $13,104 if she drives 18,000 miles per year. (a) What is the decision, and what is the chance event? The decision is to choose the best lose option alternatives. The chance event is the number of mes driven There are possible outcomes (b) Construct a payoff table. Enter your answers in $). Annual Miles Driven Dealer 12,000 15,000 Dealer A $10,404 $11,754 18,000 $13,104 Dealer B 10800 10000 12600 Dealerc $ 11340 11340 11340 (c) IF Amy has no idea which of the three mileage assumptions is most appropriate, what is the recommended decision (leasing option) using the optimistic, conservative, and minimax regret approaches? The recommended decision using the optimistic approach is Dealer The recommended decision using the conservative approach is Dealer Aura |x The recommended decision using the minimax regret approach is Dear G (d) Suppose that the probabilities that Amy drives 12,000, 15,000, and 18,000 miles per year are 0.5, 0.4 and 0.1, respectively. What option should Amy choose using the expected value approach? EVIDealer A) - 11214 EV(Dealer B) - $ 10980 EVIDealer C) - $ 11340 The best decision is Dealer B (e) Develop a risk profile for the decision selected in part (d). What is the most likely cost, and what is its probability? Based on the risk profile, the most likely cost is s at a probability of (6) Suppose that after further consideration Army concludes that the probabilities that she will drive 12,000, 15,000, and 18,000 miles per year are 0.3, 0.4, and 0.3, respectively. What decision should Amy make using the expected value approach? EV Dealer A) - 5 EV(Dealer B) - 5 EVIDealer C) = $ The best decision is S