Answer:
x+4≤13
just analyze the words carefully and their meanings, ex.: no more than = ≤
if you wish for the answer to this inequality:
x ≤ 9
just subtract 4 from both sides to leave x alone
Answer:
~3.547%
Step-by-step explanation:
Use the Binomial Probability Distribution:
P(X=R) = nCr*p^r*q^(n-r)
This equals:
30C20*(.8)^20*(.2)^10
Which equals 0.03547089295...
2/3 x 10 = 6.66666 because we are trying to find 2/3 OF 10/1
Answer:
the water to be added is 0.2 L
Step-by-step explanation:
The computation of the water to be added is given below:
The banberry amount is
= 7% of 6 Liters
= 0. 42L
Now
Let us assume the amount of water added be x L
So, the total solution is
= 6+ x L
Now percentage of banberry is
= 0.42 × 100 ÷ (6+x)
5 = 0.42 × 100 ÷ (9 + x)
9 + x = 9.2
x = 0.2 L
hence, the water to be added is 0.2 L
The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))