We actually don't need to do any computation. By definition, the inverse function
changes the role of input and output. So, if a function f maps x onto y, the inverse function maps y onto x.
You have to think like this: if the function makes a step further, the inverse function makes that same step back.
This means that the composition
is always the identity function
. In fact,

So, for every function, you have

Answer:
y = 10-2x
Step-by-step explanation:
2x+y=10
y=10-2x
Easy
first term is n=1
so 10th term is n=10
5(10)+100=50+100=150
150 is 10th term
Answer:
25 cm^2
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Area if a square = length²
225 = length²
length = √225
length = 15
if the map is drawn to scale of 1 : 3
the length on the map = 15/3 = 5
area of the square 5 x 5 = 25
Answer:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule:
We can find the individual probabilities:
And replacing we got:
![P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%205%29%20%3D%201-%5B0.00114%2B0.009282%2B0.0358%2B0.0869%2B0.149%5D%3D%200.7178)