1. The first year you obtain your Professional Engineer seal, you design and observe construction of small dams, each of which is in a different area of the country. Each of these dams is designed to pass the 200-year storm without overtopping, since they are relatively small and no loss of life or damage to property is likely if they do fail. After that first year, you never design another dam for the rest of your career since you move into management. a. What is the probability that the very first dam you designed will overtop during your anticipated 45-year career

Answers

Answer 1

Answer:

The probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.

Step-by-step explanation:

The question is related to the reliability function.

The reliability of the dam built follows an Exponential distribution with mean time between failure as 200 years.

Then the parameter of the exponential distribution will be:

[tex]\lambda=\frac{1}{200}=0.005[/tex]

The reliability function for the time in which the dam will overtop is given by:

[tex]R(t)=e^{-\lambda t}[/tex]

Compute the probability that the very first dam you designed will overtop during your anticipated 45-year career as follows:

  [tex]R(t)=e^{-\lambda t}[/tex]

[tex]R(45)=e^{-0.005\times 45}[/tex]

         [tex]=e^{-0.225}\\=0.7985[/tex]

Thus, the probability that the very first dam you designed will overtop during your anticipated 45-year career is 0.7985.


Related Questions

Divide. Write your answer in simplest form.
-8/9 ÷ (-8/9)

Answers

Answer: 1

Step-by-step explanation:

Keep Flip Change

-8/9 x -9/8

Cross simplify and you’ll get 1 since when you simplified its -1/1 x -1/1 and since it’s negative times negative then itll be positive so final answer=1

Answer:

1

Step-by-step explanation:

1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4

Answers

Answer:

7.2 is larger than 72×10-4 and this is also larger than 00.72

what is 75 times .25?

Answers

The answer to the question is 18.75

75 x 0.25 = 18.75 have a great day :D

What is the value of the expression below?

Negative 8 + 19 + 8
0
11
19
35

Answers

Answer:

19

Step-by-step explanation:

-8+19+8

Since -8+8 =0

0+19 = 19

19                                Answer:

       i used my brain                 Step-by-step explanation:

How many ounces of trail mix are in a bag that weighs 0.681 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 pound = 16 ounces)

Answers

Answer:

24 ounces

Step-by-step explanation:

the math is.  

.681÷ .454= 1.5 which is in pounds than you take 16÷2= 8 take that 8 add it to the 16 giving you 24 ounces

Answer:

24

Step-by-step explanation:

16x-5=5+11x I really dont get these

Answers

Answer:

x = 2

Step-by-step:

16x - 5 = 5 + 11x

16x - 11x = 5 + 5

5x = 10

/5     /5

x = 2

Good Luck

Answer: x=2

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x= 127

Step-by-step explanation:

Please see the attached picture for full solution.

I NEED HELP WITH OPPERATIONS WITH COMPLEX NUMBERS
(PLEASE HELP)

Answers

Answer:

see below

Step-by-step explanation:

z1 = sqrt(3) -i

z2 = -i

z1+z2 = sqrt(3) -i  + -i = sqrt(3) -2i

z1-z2 = sqrt(3) -i  - -i = sqrt(3)  +-i +i = sqrt(3)

z1*z2 = sqrt(3) -i  * -i = sqrt(3)*-i -i*-i = -sqrt(3)i + i^2 = -sqrt(3)i -1

z1/z2 = sqrt(3) -i  / -i = sqrt(3)/-i - i/-i = sqrt(3) *i/-i*i +1 = sqrt(3)i/-i^2 +1

                                     = sqrt(3) i +1

need help on this I just don't understand it​

Answers

Answer:

I understand what to do but i don't understand what a 2 way table is

Step-by-step explanation:

How many solutions are to the equation below
9(x-4)= 9x-33

Answers

Answer:

No solution

Step-by-step explanation:

9(x-4)=9x-33

9x-36=9x-33

-9x       -9x

36=33

36 is not equal to 33 so therfore

there is no solution

1. f(x) = x2 + x and g(x) = 2x + 1
a. Evaluate f(g(3))
b. Evaluate g(f(3))

Answers

Answer:

f(g(3)) = 56

g(f(3)) = 25

Step-by-step explanation:

fog = f(2x+1)

f(2x+1) = (2x+1)^2 + 2x+1

(2x+1)^2 + 2x+1 = 4x^2+6x+2

f(g(x)) = 4x^2+6x+2

f(g(3)) = 4(3)^2+6(3)+2

f(g(3)) = 56

gof = g(x^2+x)

g(x^2+x) = 2(x^2+x)+1

2(x^2+x)+1 = 2x^2 + 2x + 1

g(f(x)) =  2x^2 + 2x + 1

g(f(3)) = 2(3)^2 + 2(3) + 1

g(f(3)) = 25

4x+1y=12 solve please need help

Answers

Answer:

-0.25y

Step-by-step explanation:

Simplifying

4x + 1y = 12

Solving

4x + 1y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

4x + 1y + -1y = 12 + -1y

Combine like terms: 1y + -1y = 0

4x + 0 = 12 + -1y

4x = 12 + -1y

Divide each side by '4'.

x = 3 + -0.25y

Simplifying

x = 3 + -0.25y

Answer:

x = 3 + -0.25y

Step-by-step explanation: Simplifying:4x + 1y = 12Solving:4x + 1y = 12Solving for variable 'x'.:Move all terms containing x to the left, all other terms to the right.Add '-1y' to each side of the equation.4x + 1y + -1y = 12 + -1yCombine like terms: 1y + -1y = 04x + 0 = 12 + -1y4x = 12 + -1yDivide each side by '4'.x = 3 + -0.25ySimplifyingx = 3 + -0.25y

In a New York coupon experiment, the experiment was conducted to test the effects of the face value of coupons on the likelihood of coupon redemption. Subjects were randomly assigned to 2 treatment groups. One group was offered 15-cent coupons and the other 50-cent coupons for four products. During the interviews, the respondents answered questions about which brands they used and how likely they were to cash coupons of the given face value the next time they shopped. In the preceding experiment, the dependent variable that was ________.

Answers

Answer:

The correct approach will be "the likelihood of cashing the coupon".

Step-by-step explanation:

That what's being examined as well as calculated throughout the experiment or observational study seems to be the dependent variable (almost always widely recognized as that of the responding variable). As a consequence of the modifications to something like the independent variable, that's what modifications.  Whether large you are really at various ages would be an illustration of some kind of dependent variable.

Six hundred and eight thousandths as a decimal

Answers

600.008 (why does this need to be 20 things long)

Evaluate 4c - 5 for c = -3

Answers

Answer:

-17

Step-by-step explanation:

Substituting c=-3

4*-3-5

=-12-5

=-17

Answer:

-17

Step-by-step explanation:

4c - 5

4(-3) -5

-12 -5

-17

7. Write three different fractions equivalent to 3/4. Explain how you know they are
equivalent.
Your answer

Answers

Three different fractions that are equivalent to 3/4 are 6/8, 9/12, and 12/16. I know that these fractions are equivalent because If you simplify them they all equal 3/4. I hope this helps!

Write an algebraic expression for the following:
Divide 2w by 3xy

Answers

Answer:

Step-by-step explanation:

2w/3xy

this is the answer

The average weight of students in a class is 40 kg. If the total weight of all the students is 1840 kg, then the number of students in the class is

Answers

Answer:

46

toy have to divide 1840 ÷ 40 and your answer is 46

Diet cola was on sale last week; it cost $10 for every 4 packs of diet cola.
a. How much do 2 packs of diet cola cost?
b. How much does 1 pack of diet cola cost?​

Answers

Answer:

A would most likeley be the answer because when you divide 10 from 4 you get 2.50

Step-by-step explanation:

hope i could help.

PLEASE ANSWER THIS ASAP

Answers

Answer:9a-2

Step-by-step explanation: see photo

Roberto and Maria Santanos spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A new washer and
dryer would cost them a total of $774. How many weeks will it take for the laundromat cost to equal the cost of a new washer and dryer?
HELP PLEASE!​

Answers

Answer:

72 weeks

Step-by-step explanation:

If 1 week =$10.75 then $774 will be equal to $774×1 week=774 then divide by $10.75=72 weeks

It will take 72 weeks the laundromat cost to equal the cost of a new washer and dryer.

We have - Roberto and Maria Santana's who spend approximately $10.75 per week to wash and dry their family's clothes at a local coin laundry. A new washer and dryer would cost them a total of $774.

We have to determine in how many weeks will it take for the laundromat cost to equal the cost of a new washer and dryer.

If you are saving $5 every day, then in how many days you will  save %100?

You will save $100 in = [tex]\frac{100}{5}[/tex]  = 20 days.

According to question, we have -

Cost of a Laundromat = $10.75/week

Total cost of a new washer and dryer = $774.

The number of weeks it will take for the laundromat cost to equal the cost of a new washer and dryer will be -

n(W) = [tex]\frac{774}{10.75}[/tex] = 72 weeks

Hence, it will take 72 weeks the laundromat cost to equal the cost of a new washer and dryer.

To solve more questions on Time and cost estimation, visit the link below -

https://brainly.com/question/13941616

#SPJ2

The graph shows the amount of money paid when purchasing bags of candy at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.

What is the constant of proportionality? (4 points)

Answers

Answer:

C

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

please solve:
3(d+12)=8-4d

Answers

Answer:

d= -4

Step-by-step explanation:

3d+36=8-4d

7d= -28

d= -4

Answer: -4

Step-by-step explanation:

3(d+12) = 8-4d

3d+36=8-4d

3d+4d=8-36

7d=  -28

d= -28/7

d= -4

Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour?

A 1/9

B 1/4

C 9

D 4

Answers

Answer:

0.25 or 1/4 is the answer

Step-by-step explanation:

(1/6)/(2/3) = 1/6 * 3/2 = 3/12 = 1/4

assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Answers

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

Translate and solve: 336 is what percent of 96?

Answers

the answer is 28.57 !!!

the length of a rectangle is 24 feet more than the width. The perimeter of the rectangle is 88 feet. What is the length and width of this rectangle?

Answers

Answer:

W = 10 ft

Step-by-step explanation:

Represent the length by L and the width by W.  Then L = W + 24.

The perimeter is P = 2W + 2L, or 88 ft.  Thus, after substituting L = W + 24,

88 ft = 2W + 2(W + 24), or

88 = 2W + 2W + 48, or, after reduction,

44 = 2W + 24, or

2W = 20, and so W = 10 ft

The length of the rectangle is 34 feet.

The given parameters;

perimeter of the rectangle, P = 88 feet.let the width of the rectangle = wthen, the length of the rectangle, L = 24 + w

The length of the rectangle is calculated as follows;

P = 2(L+ w)

P = 2(24 + w + w)

P = 2(24 + 2w)

88 = 48 + 4w

subtract 48 from both sides of the equation;

88 - 48 = 4w

40 = 4w

w = 10

Now, solve for the length;

L = 24 + w

L = 24 + 10

L = 34 feet

Thus, the length of the rectangle is 34 feet.

Learn more here:https://brainly.com/question/18869010

A rectangular prism is 12 centimeters long, 6 centimeters wide, and 5 centimeters high. What is the volume of the rectangular prism?

Answers

Answer:

360 cm cubed

Step-by-step explanation:

Use the volume formula.

V=whl

V=12 x 6 x 5

V=360

Carly sold 18 rolls of wrapping paper that is two times as many rolls as Jasmine sold how many rolls of wrapping paper did they sell all together

Answers

Answer:

27

Step-by-step explanation:

jasmine sold 9 rolls, so 18 + 9 = 27

Elisa withdrew $24 at a time from her bank account and withdrew a total of $192. Frances withdrew $46
at a time from his bank account and withdrew a total of $230. Who made the greater number of
withdrawals?
withdrawals, while
(seleled made the greater number of withdrawals, because she made
(select) only made withdrawals.

Answers

Answer: Elisa

Step-by-step explanation: the first one did 8 withdraws the second one did 5 withdraws

(divide the total by the amount withdrawn each time)

Answer:

Elisa made more because she made 8 and Frances only made 5

Step-by-step explanation:

192/24= 8

230 / 46 = 5

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