F=x-48 over 4x. I hope that is right :)
Set up a proportional relationship:
xf/1n=(f/5)/(n/3)
xf/1n=3f/(5n) multiply both sides by 1n
xf=3f/5 so
x=3/5
Dave must mix in 3/5 of a cup of fruit with a single cup of nuts.
You could of also just noted that you need to multiply 1/5 times 3 because 1/5 mixes with just 1/3 of a cup of nuts...
<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:
-z( 2z^3-5z^2+9z-1)
Step-by-step explanation:
Apply exponent rule: a^b+c=a^b*a^c
z^2=zz
z^3=z^2*z
z^4=z^3*z
Factor out common term z:
-z(2z^3-5z^2+9z-1)
Y is the number of movies
x is the number of hours
It takes 2 hours per movie
Thus:
y = x/2
2y = x
x - 2y = 0
The answer is C