Answer:
y=t/(12dt+19)
Step-by-step explanation:
This question want us to make y the subject of formula...it involves a step by step process
Back to the question
12ytd=-19y+t
Let's start solving by asking how can we make y the subject of formula from this equation...you have to be a fast thinker
Let's continue with the solution
12ytd=-19y+t
Add 19y to both sides
12ydt+19y=t
Then factorise only from the left side and y is common to the two figures
y(12dt+19)=t
Divide both sides by (12dt+19)
y=t/(12dt+19)
Therefore the final answer is y=t/(12dt+19)
This is table and the graph. I hope it helps.
Answer:
x = 1
Step-by-step explanation:
If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.
Answer:
In order to find the variance we need to find first the second moment given by:
And replacing we got:
The variance is calculated with this formula:
And the standard deviation is just the square root of the variance and we got:
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X
X 0 1 2 3
P(X) 0.92 0.03 0.03 0.02
We can calculate the expected value with the following formula:
And replacing we got:
In order to find the variance we need to find first the second moment given by:
And replacing we got:
The variance is calculated with this formula:
And the standard deviation is just the square root of the variance and we got: