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3 years ago

What happened to the little boy who swallowed a silver dollar?

1 answer:

7 0

He became poorer by a silver Dollar, actually the dollar belonged to his parents, but he was going to inherit it. Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

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At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

3 years ago

Tom has 12 reports to file. If each report takes an average of 45 minutes to file, how long will it take him to file 75% of them

Jobisdone [24]

Alright, lets get started.

One report takes to file an average of = 45 minutes

Means 12 reports takes to file time = 12 * 45 = 540 minutes

12 reports filing total time = 540 minutes

We are asked to find time to file 75 % of them.

Which means 75 % of 540

= 540 * 75/100

= 540 * 0.75

= 405 minutes

We could convert it into hrs dividing with 60.

405 / 60 = 6.75 hrs

Means it will take 6.75 hrs to file 75% of them: Answer

Hope it will help :)

8 0

2 years ago

You would need one gallon of water per day for yourself.Your horses need eight gallons of water each per day.How many gallons of

Bumek [7]

Answer:

answer varies on duration of trip

Step-by-step explanation:

it depends how long your trip is

4 0

2 years ago

Teams of four are competing in a quarter mile race each runner must run the same exact distance what is the distance each person

Semenov [28]

440 Yard each
Or
1320 feet each

I think this is what u are asking for but im not sure

8 0

2 years ago

there are 4 red and 8 blue marbles in a bag, Mark draws a blue marble out of the bag and does not replace it. Mark draws a secon

NISA [10]

Answer:3/5

Step-by-step explanation:when he takes one marble it’s 7/11 and when he takes another it’s 6/10 so simplify and you get 3/5

8 0

2 years ago

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