<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000
</span>
X=1
5*5*5=25*5=125
5 to the 3rd power is equal to 125
Answer:

Step-by-step explanation:
Let v be the speed after the collision of both the cars.
Now, momentum is given by: mass × velocity, then by equating the total momentum before and after the collision of the two cars, we get

⇒
⇒
⇒
Thus, they are moving at the velocity of 
Answer: 30 students per bus
Step-by-step explanation: 99-9=90
90/3=30
30 students per bus
Answer:
22
Step-by-step explanation:
10^2-9(9)+3
100-81+3
19+3
22