Total servings to cups is 7:4
means total servings is 7 and total cups is 4
total=cups+cones
therefor
cones=total-cups
we want servings to cones
we know that cups=4 units and total =7
we apply
cones=total-cups
cones=7-4
cones=3
cones=3 units
therefor, serrvings to cones is 7:3
answer is C
The answer would be 1,220,000mm.
You can do this if you convert all the measures into one unit. Let us convert all into km.
The first one is already in km, so we do not need to covert it.
Let's start with converting 1,220,000mm to km.
There are 1, 000,000 mm in one km.

So there are 1.22km in 1,220,000mm.
Next, we have 120m. There are 1,000m in 1km.

There are 0.12km in 120m
Now you can see that 1,220,000mm is the longest.
Answer: It's slope is zero
Step-by-step explanation:
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:
![Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%200.33%20-%280.15%29%5E2%20%3D%200.3075)
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:
![Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%200.33%20-%280.15%29%5E2%20%3D%200.3075)
And the standard deviation is just the square root of the variance and we got:

Answer:
d) 0
Step-by-step explanation:
P -R = 0
Because in parallelogram, opposite angles are equal.