<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:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
Answer: f(2) = 4
Step-by-step explanation:
F(x) and g(x) are said to be continuous functions
Lim x=2 [3f(x) + f(x)g(x)] = 36
g(x) = 2
Limit x=2
[3f(2) + f(2)g(2)] = 36
[3f(2) + f(2) . 6] = 36
[3f(2) + 6f(2)] = 36
9f(2) = 36
Divide both sides by 9
f(2) = 36/9
f(2) = 4
It would be an 8 percent discount because 115 is 92 percent of 125.
Answer:
Step-by-step explanation:
Given:
To find 
Using trigonometric relations for sums and differences of squares of the ratios.
We know:
Plugging in in the above relation.
Subtracting both sides by 0.75.
Taking square root both sides.
∴ (Answer)
