This is a vertical parabola which opens upwards
we have the general formula
(x - h)^2 = 4p(y - k) where p is the y coordinate of the focus
y/14 = x^2 - x /14 - 1/14
add 1/14 to both sides
y/14 + 1 /14 = x^2 - x /14
now complete the square
y/14 + 1/14 = x^2 - x/14 + 1/28^2
y/14 + 1/14 = (x - 1/28)^2
(x - 1/28)^2 = 1/14( y + 1)
comparing this with the general form:-
4p = 1/14
p = 1/56
so the focus is at (h,p) = (1/28, 1/56)
The answer is none of the above
Which one do you need help with
<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:
x=y-6
Step-by-step explanation:
First, flip the equation.
x+6=y
Finally, add -6 to both sides.
x+6+−6=y+−6
x=y−6
