2 to the fifth power over 3 squared all raised to the fourth power
Answer: 2 to the twentieth power over 3 to the eighth power
Used:
Step-by-step explanation:
Recall that
so we can write our original equation as
or
Let 
so our equation becomes
which gives us two roots: 
and 
.
This is equivalent to 
and 
Answer:
72.578 to the nearest thousandth.
Step-by-step explanation:
g(x)=3x^3 + 3x^2 - 30x + 24
Find the derivative:
g'(x) = 9x^2 + 6x - 30.
This equals zero for values of turning points:
9x^2 + 6x -30 = 0
3(3x^2 + 2x - 10) = 0
x = [-(2) +/- √(2^2 - 4*3*-10)] / 2*3
x = (-2 +/- √124) / 6
x = (-2 + 11.136)/6, (-2 - 11.136)/6
x = 1.523, -2.189.
To check which value of x gives a maximum value for f(x) use the second derivative test:
g"(x) = 18x + 6
when x = -2.189 g"(x) = 18(-2.189) + 2 which is negative so this value gives a local maximum.
Local maximum value for f(x)
= 3(-2.189)^3 + 3(-2.189)^2 - 30(-2.189) + 24
= 72.578 answer.
Answer:
Step-by-step explanation:
The question illustrates a binomial distribution and the given parameters are:
Given
-- sample size
--- probability of success
--- half of the participant
Using the binomial probability formula, we have:
For x = 3, the probability is:
