When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is
1 answer:
Answer:
The differential equation is
Step-by-step explanation:
Differential equation for the rate of change in radiation level:
Radiation level is R.
Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:
After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:
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Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
To find,
The gain percent
Solution,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
So, the profit percentage is 33.34%.
Answer:
Step-by-step explanation:
tan(30°) =
cot(30°) =
sin(60°) =
Consider the absolute value, because we only worry about the quadrant later.
Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.
The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13
Since angle A is in the third quadrant, the tangent function will produce a positive angle.
Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.
The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13
Since angle A is in the third quadrant, the tangent function will produce a positive angle.
Answer:
(a) The value of fₓ (9.5) is 0.125.
(b) The value of fₓ (10.5) is 0.50.
Step-by-step explanation:
Let <em>X</em> denote delivery time of the mail delivered by Alice and <em>Y</em> denote delivery time of the mail delivered by Bob.
It i provided that:
The probability that Alice delivers the mail is, <em>p</em> = 1/4.
The probability that Bob delivers the mail is, <em>q</em> = 3/4.
The probability density function of a Uniform distribution with parameters [<em>a</em>, <em>b</em>] is:
The probability density function of the delivery time of Alice is:
The probability density function of the delivery time of Bob is:
(a)
Compute the value of fₓ (9.5) as follows:
For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.
The value of fₓ (9.5) is:
Thus, the value of fₓ (9.5) is 0.125.
(b)
Compute the value of fₓ (10.5) as follows:
For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.
The value of fₓ (10.5) is:
Thus, the value of fₓ (10.5) is 0.50.