The last two answers would be correct. This is because pi is an irrational number, 22/7 is a rational number, and 3.14 is a rational number.
Answer:
48,
Step-by-step explanation:
so when we add to the function outside of the parentheses of (x)^3, we are moving the graph in the up down direction so it would look like x^3 but shifted up 2 units. the way to easily know which one it is, plug in zero for x in the original and 0^3 is zero so we know the original fuction will go through the origin so the function who's center is is only shifted up (because it's positive 2) two units so graph 1
note: the reason i know that what looks like a center point is actually at the origin is because f(x)= x^3 is a very famous graph that you should know the shape of :)
Answer:
B. m = , y-int = 3
Step-by-step explanation:
To find the slope of the line, we need to plot two points
(2, 6) (-2, 0)
m = slope
Then use the Slope-Formula to Solve for the slope
m =
m =
m =
m =
m =
The Slope is
The y-intercept is 3 because the line is going 3 units upwards on y axis!
Equation: y = 3/2x + 3
Slope: 3/2
y-intercept: 3
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: