<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>
Answer:
t=5.18 minute
Step-by-step explanation:
Using Newton's law of cooling

T is temperature of a cup of coffee at any time t
, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.


To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee


It's a glitch I believe (screenshot and contact your teacher)
Answer:
4 terms
Step-by-step explanation:
4is the number of variable terms that are in the expression 3x3y + 5x2 _ 4y + z + 9. The four variable terms in the expression are "xy", "x^2", "y" and "z"