Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>
Answer:
The difference between value of y at x=11 is 385, the correct option is third.
Step-by-step explanation:
The difference between value of y at x=11 is 385, the correct option is third.
The equation of a line which passing through two points is given below,
The two points from the table are (3,240) and (4,320), the equation is,
Put x=11
Therefore according to the table the value of y is 880 at x=11.
The two points from the table are (2,90) and (4,180), the equation is,
Put x=11,
Therefore according to the table the value of y is 495 at x=11.
The difference between the values of y at x=11 is,
Therefore third option is correct.
Answer:
Step-by-step explanation:
given that f(a) = K
we have the options of
f(K) = a
f ⁻¹ (K) = a
f ⁻¹ (a) = K
Where f ⁻¹ denotes an inverse function.
If f(a) = K, then its reciprocate, f ⁻¹ (K) = a
because it is essentially undoing the original equation
Answer:
90.67% probability that John finds less than 7 golden sheets of paper
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.
This means that 
14 of these containers of paper.
This means that 
What is the probability that John finds less than 7 golden sheets of paper?

In which









90.67% probability that John finds less than 7 golden sheets of paper
99.69/100=.9969
.9969*20=19.938
Ramon would receive ~ $19.94