At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t
1 answer:
Answer:
(a1) The chance that the temperature rises by less than 20°C is 0.667.
(a2) The probability of the temperature increase falling between 20°C and 22°C is 0.133.
(b) The likelihood that the temperature increase could be hazardous at any moment is 0.467.
(c) The anticipated value of the temperature rise is 17.5°C.
Step-by-step explanation:
Let X denote the temperature increase.
The random variable X is distributed uniformly over the interval [10°C, 25°C].
The probability density function for X is shown here:
(a1)
The probability of the temperature increase being under 20°C can be calculated as follows:
Consequently, the chance that the temperature increase will be below 20°C is 0.667.
(a2)
The probability of the temperature rise being in the range from 20°C to 22°C is computed as follows:
This leads to the probability of the temperature increase being between 20°C and 22°C being 0.133.
(b)
To find the probability that the increase in temperature could be dangerous, we calculate:
This results in a probability of 0.467 that the temperature rise is potentially dangerous at any time.
(c)
The expected value of the uniform random variable X is determined as follows:
The expected value for the temperature increase computes to 17.5°C.
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Answer:
X ball bearings can be produced in 1 hour and 20 minutes
Step-by-step explanation:
Proportions
Proportions serve as an essential method for solving various common challenges. We understand that:
Company ABC manufactures X ball bearings in 3 hours.
Company DEF produces X ball bearings in 4 hours.
Company GHI generates X ball bearings in 6 hours.
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DEF: X/4 ball bearings
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Answer:
The price per kilogram of salami amounts to = $9.1
Step-by-step explanation:
Given:
Hailey spent $13 on kg of sliced salami.
We need to determine the cost per kg of the salami.
Solution:
We will use the unitary method to find the cost for one kilogram of salami.
If kg of salami costs $13
Then the cost for 1 kg of salami in dollars =
When dividing mixed numbers, we convert them to fractions.
⇒
⇒
To divide fractions, we take the reciprocal of the divisor and multiply.
⇒
⇒
⇒
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Hence, the cost per kilogram of salami is = $9.1