Answer:
1/25
Step-by-step explanation:
At the start there is a 4/20 (1/5) chance of drawing a blue marble. After putting the marble back in the bag, there is again a 1/5 chance of drawing a blue marble again. To calculate the overall probability, you must multiply the two numbers together: 1/5 x 1/5 = 1/25.
Answer:
Karthik goes to office at 09.30 and returns back at 18:00. His lunch timings are 12:00 to 12:45
It’s A for the value of the function u asking for
Answer:
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Step-by-step explanation:
Given that, the rate R(t) at which cars enter the highway is given the formula

The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.

![=[100(t-0.0001\frac{t^3}{3})]_0^{30}](https://tex.z-dn.net/?f=%3D%5B100%28t-0.0001%5Cfrac%7Bt%5E3%7D%7B3%7D%29%5D_0%5E%7B30%7D)
![=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]](https://tex.z-dn.net/?f=%3D100%5B%2830-0.0001%5Cfrac%7B30%5E3%7D%7B3%7D%29-%280-0.0001%5Cfrac%7B0%5E3%7D%7B3%7D%29%5D)
=2901
The average rate of car is 

=97
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.