$80,000, and if it is installed, no losses from this type of incident will be incurred. However, if the generator is not installed, there is a 12% chance that a power outage will occur during a year. If there is an outage, there is a .07 probability that the resulting losses will be very large, or approximately $7 million in net aggregated loss. Alternatively, it is estimated that there is a .93 probability of only slight losses of around $1 million. Using decision tree analysis, determine whether the SPEA should have install the new power generator. What considerations may change your decision?

Answers

Answer 1

Answer:

SPEA should have install the new power generator.

Step-by-step explanation:

The information provided is as follows:

The cost of the emergency generator is $80,000, and if it is installed (I), no losses from this type of incident will be incurred. If the generator is not installed (I'), there is a 12% chance that a power outage (P) will occur during a year. If there is a power outage, there is a 0.07 probability that the resulting losses will be very large (HL), or approximately $7 million in net aggregated loss. Alternatively, it is estimated that there is a 0.93 probability of only slight losses (SL) of around $1 million.

Consider the decision tree attached below.

The loss that will be incurred after the generator is installed is, $80,000.

Compute the loss that will be incurred if the generator is not installed as follows:

[tex]E(\text{Loss})=P(HL|P)P(P)\times \$7000000+P(SL|P)P(P)\times \$1000000[/tex]

             [tex]=(0.07\times 0.12\times \$7000000)+(0.93\times 0.12\times \$1000000)\\=58800+111600\\=170400[/tex]

The loss that will be incurred if the generator is not installed is $170,400.

The loss from not installing the generator is more than from installing it.

Thus, SPEA should have install the new power generator.

$80,000, And If It Is Installed, No Losses From This Type Of Incident Will Be Incurred. However, If The

Related Questions

substitute 9 for x and evaluate the expression below. (x-1) -3 A, 5 B, 7 C 11 D, 13

Answers

Answer: The answer would be A. 5

Please mark me as brainliest

What is the value of k assuming the following equation has multiple solutions, 2x+6=6-3x+kx?

Answers

Answer:

k=5

Step-by-step explanation:

2x+6=6-3x+kx

Simplify

2x+6 = x(k-3) +6

If there are multiply solutions, both sides need to be equal

2 = k-3

Add 3 to each side

2+3 = k-3+3

5 =k

k=5

Answer:

k=5?

Step-by-step explanation:

you get, 5x +6 = 6 + kx

then take away six from both sides 5x= kx

then make it equal to zero 5x - kx =0

take out common factor of x , x (5-k) = 0

so k = 5

WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 211 − 5x. The cost of producing x widgets is given by C(x) = 1,401 + 16x. Construct the revenue function, R(x). Find the production level that will result in the maximum revenue. Find the maximum monthly revenue. Enter your answer to part c in the box below. Round your answer to the nearest cent.

Answers

Answer:

the revenue function = x · P(x) - C(x) = x · (211 − 5x) - (1,401 + 16x) = 211x - 5x² - 1,401 - 16x = -5x² + 211x - 16x - 1,401

R(x) = -5x² + 195x - 1,401

maximum revenue will be obtained for R'(x)

R'(x) = 2 · -5x + 195 = -10x + 195 = 0

195 = 10x

x = 19.5

the production level that yields a maximum profit should be 19.5

maximum monthly revenue

R(x) = -5·19.5² + 195·19.5 - 1,401 = -1,901.25 + 3,802.50 - 1,401 = $500.25

Jim lost 4 lbs each week for 10 weeks. Express his total weight change as an integer.

Answers

Answer:

4:10

Step-by-step explanation

the answer for this question is -40
it mainly means -4x10
4x10 is equal to 40 and you keep the negative
so -40

here’s a tip for multiplying integers
same sign=+
different sign= -

It’s on a time limit help!!!
An equation in one variable is shown below.
6x + 10 = -8
Which number line represents the solution for this equation?
A.
+
1
-2
-1
N
2.
+
B.
-2
-1
C.
O +0+0+0
A
-4 -3 -2 -1
1
+ +
1 2
+
1 2
4
N+ ++
D.
mm
A
4 -3 -2 -1

Answers

Answer:

c

Step-by-step explanation:

Since there are no exponents in this problem, the next step is
.
Simplify the previous step and you get
.
The final answer is
.

Answers

Answer:

I need this answer ASAP

Answer:

1. It is (-2)2.2

2. Then -7.6-4.4

3.It equals -12

Step-by-step explanation:

Aggregates for the construction of a reinforced concrete building are supplied by two companies, Company A and Company B. Orders are for Company A to deliver 700 truck loads a day and 300 truck loads a day from Company B. From prior experience it is expected that 5% of the material from Company A will be substandard and 3% of the material from Company B will be substandard. Part 1 What is the probability of substandard aggregates

Answers

Answer:

The probability of substandard aggregates is 0.044.

Step-by-step explanation:

We are given that orders are for Company A to deliver 700 truckloads a day and 300 truckloads a day from Company B.

From prior experience, it is expected that 5% of the material from Company A will be substandard and 3% of the material from Company B will be substandard.

Let the probability that orders are for Company A to deliver = P(A) = [tex]\frac{700}{1000}[/tex]

The probability that orders are for Company B to deliver = P(B) = [tex]\frac{300}{1000}[/tex]

Let event S = material which is substandard

So, the probability that the material from Company A will be substandard = P(S/A) = 0.05

the probability that the material from Company B will be substandard = P(S/B) = 0.03

Now, the probability of substandard aggregates is given by = P(S)

P(S) = P(A) [tex]\times[/tex] P(S/A) + P(B) [tex]\times[/tex] P(S/B)

      = 0.7 [tex]\times[/tex] 0.05 + 0.3 [tex]\times[/tex] 0.03

      = 0.044

Hence, the probability of substandard aggregates is 0.044.

Question 7(Multiple Choice Worth 1 points)
(03.01 MC)
simplify 5(6-413)

Answers

I believe it’s -2095

Check me please for mistakes

Answers

The first 3 are correct but for the last one I’m not sure

Three is less than the sum of a number a and 4

Answers

Answer: Yes, It is. (True)

Step-by-step explanation:

During the regular season, a National Basketball Association team plays 82 games and a National Football League team plays 16 games. In simplest form, what is the ratio of NFL regular season games to NBA regular season games?

Answers

Answer:

NFL teams play 16 regular season games each year, NHL and NBA teams play 82, while MLB teams play 162-could invalidate direct comparisons of win percentages alone. As an example, the highest annual team winning percentage is roughly 87% in the NFL but only 61% in MLB and part (but not all) of that difference is undoubtedly tied to the shorter NFL regular season

Answer:

Hi have a nice day!!!!!!!

Step-by-step explanation:

pls help

Given: △ABC, CM⊥ AB, BC = 5, AB = 7
CA = 4 sqrt(2)
Find: CM

Answers

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

my question is what is 1x0 what will be thensum​

Answers

Answer:

0

Step-by-step explanation:

Answer:

1 x 0 = 0

Step-by-step explanation:

Anything multiplied by zero is zero. Also, it's called the qoutient not the sum...

What is the slope of line k?

Answers

Answer: Slope: 2/3

Step-by-step explanation:

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide.
How much fencing he will need?

Answers

Answer:

should be 38 feet

Step-by-step explanation:

P=L+L+W+W

12+12=24

7+7=14

14+24=38

What is the greatest and least number that rounds to 1700 when rounded to the nearest hundred?

Answers

Answer:

Greatest number: 1699

Least number: 1650

Step-by-step explanation:

I just used the rule five or more round up.

The unit rate of change of y with respect to x is the
amount y changes for a change of one unit in a
The tablo below represents a proportional relationship
with constant unit rate of change of y with respect to .
Which describes a greater unit rate of change of y
with respect to x, the equation y = 11x or the table?
1 2 3
4
y 10 20
30
40
Choose 1 answer:
The table
The unit rates are the same.
The equation

Answers

Answer:

Step-by-step explanation:

The equation

Timmy bought a skateboard and two helmets for a total of
d dollars. If each helmet cost h dollars, the cost of the
skateboard could be represented by.....



Answers

d-2h=cost of skateboard

The axis of symmetry of a quadratic equation is x= -3. If one of the zeros of the equation is 4, what is the other zero?
A. -10
B. -7
C. -6
D. -4

Answers

Answer:

b

Step-by-step explanation:

Answer: the other zero would be -10

HELP I WILL GIVE BRAINLIEST

Answers

Answer:

whats the question ????

Step-by-step explanation:

Answer:

It's okay! Just keep trying to get the image and we will try to solve it!From:iOE your friend:D :)*Be awesome be you*

A study by a reputable research organization found that when presented with prints from the same​ individual, a fingerprint expert will correctly identify the match ​% of the time. In​ contrast, a novice will correctly identify the match ​% of the time. Consider a sample of different pairs of​ fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all pairs of​ fingerprints? The probability is nothing. ​(Round to four decimal places as​ needed.)

Answers

Answer:

0.5578

Step-by-step explanation:

Fingerprint correctly match 92 % of the time.

A novice that will correctly identify a match 75​% the time.

Each of the attempts of matching a fingerprint with the individual is independent.

The number of pairs are 7.

a). So the probability that the expert will identify every pair correctly is

= 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92= 0.927 = 0.5578

The area of this rectangle is 72 what is the length,x, if the width is 4

Answers

Answer:

18

Step-by-step explanation:

you have to divide 72 by 4. when you get 18 you can multiply that by 4 and you would get 72.

A while ago, Nicole bought shares of stock in a high-tech firm. At that time, the selling price was $60 per share. According to today's newspaper, a share is currently worth 30% more. What is the current value of one share?

Answers

Answer:

Step-by-step explanation:

1. Dividends

2. Capital gains

-The discounted present value of the sum of next period's dividend plus next period's stock price

-The discounted present value of all future dividends

P0 = [(Div1)/(1+R)] + [P1/(1+R)]

where Div 1 = expected dividend paid at year's end

P1 = expected price at year's end

R = discount rate

Answer:

$78

Step-by-step explanation:

A share is worth 30% more, so multiply 30% by 60 to get 30% of 60, which is 18. Then, add 18 to 60 because the share is 30% more, and you get 78.

Marco has $38.43 dollars in his checking account. His checking account is linked to his amazon music account so he can buy music. The songs he purchases cost $1.29.

Answers

Step-by-step explanation:

38.43 - 1.29x

Variable x represents the number of songs purchased

Not sure why this question didn't save the answer I just wrote (I'm new to the app)

Find the value that completes the ordered pair to describe the transformation of f(x) to g (x).

If (x, y) is a point on f(x), then

(x +
3
, y +
1
) is a point on g(x).

Answers

Answer:

we know that if: (x, y) is a point of f(x):

This means that f(x) = y.

Then (x + 3, y + 1) is a point of g(x)

This means that:

g(x + 3) = y + 1

Then we have two shifts.

For a real and positive number A.

A horizontal shift of A units to the right can be written as:

f(x - A)

A vertical shift of A units up can be written as:

f(x) + A.

Then in this case we have:

An horiozontal shift of 3 units to the right, and a vertical shift of 1 unit up, this means that:

g(x') = f(x' - 3) + 1.

then evaluating this at x' = x + 3

g(x + 3) = f(x + 3 - 3) + 1 = f(x) + 1 = y + 1

That is what we had initially.

Answer:

(x +   2, y +  -2) is a point on g(x).

Step-by-step explanation:

Please help me???????

Answers

Part 1
1. 16-composite
2. 0- Neither
3. 29- prime
4. 33- composite
5. 47- prime
6. 51- composite
7. 64- Composite
8. 73- prime
9. 12- Composite
10. 24- Composite
11. 17- prime
12. 38- composite

Chris can do 30 pushups in 60 seconds. How many pushups can he do in 360 seconds?

Answers

I’m going to say 180

Answer:

Chris can do 180 pushups in 360 seconds

Step-by-step explanation:

Divide 360 by 60= 6

then multiply 30 by 6 = 180

3 ( Q - 7 ) = 21
Q = ?

Answers

Answer:

Step-by-step explanation:

use distributive prop.

3 times q =3Q

3 Times -7 =-21

3Q-21=21

ADD 21 to both sides

3q=42

q=14 .

The mean score on a set of 23 tests is 78. Suppose two more students take the test and score 70 and 56. What is the new​ mean?

​(Round to the nearest ​tenth.)

Answers

Answer:

76.8

Step-by-step explanation:

total score of 23 tests=23×78=1794

now total of 25 tests=1794+70+56=1920

new mean=1920/25=76.80=76.8

g farmer brown wants to upgrade the fencing around his rectangular pasture.he would like to put a stone fence along one (1) side and a wooden fence along the other three (3) sides. the cost of the stone fence is $100 per linear foot, and the cost of the wooden fence is $20 per linear foot. a. if the pasture must have an area of 7,500 square feet, what are the dimensions of the field which will minimize the cost of the fencing

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the fence along the stone side and y represent the length of the fence along the wood side. The cost of building the fence C(x) is given by:

C(x) = 100x + 20(2y + x)

C(x) = 100x + 40y + 20x

C(x) = 120x + 40y

Since the area = 7500 ft²,

⇒ xy = 7500

y = 7500/x

[tex]C(x) = 120x + 40(\frac{7500}{x} )\\\\C(x) = 120x+\frac{300000}{x}\\ \\Differentiating\ with\ respect\ to\ x:\\\\C'(x) =120-\frac{300000}{x^2} \\\\At\ minimum\ cost,C(x)=0\\\\hence:\\\\0=120-\frac{300000}{x^2}\\\\\frac{300000}{x^2}=120\\\\120x^2=300000\\\\x^2=\frac{300000}{120}\\ \\x^2=2500\\\\x=\sqrt{2500} \\\\x=50\ ft[/tex]

[tex]C"(x)=\frac{600000}{x^3}\\ \\C"(50)=\frac{600000}{50^3}=4.8>0\\\\y=\frac{7500}{x} =\frac{7500}{50} =150\ ft[/tex]

Hence to minimize cost, 50 ft of fence is used along the stone side and 150 ft of fence along the wood side

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