Answer:
a) 
And replacing we got:

b) 
And then the expected value would be:

Step-by-step explanation:
We assume the following distribution given:
Y 0 1 2 3
P(Y) 0.60 0.25 0.10 0.05
Part a
We can find the expected value with this formula:

And replacing we got:

Part b
If we want to find the expected value of
we need to find the expected value of Y^2 and we have:

And replacing we got:

And then the expected value would be:

Answer:
2 7/20
Step-by-step explanation:
here u go boo
Answer:
48 cats
Step-by-step explanation:
Am interesting factoid about ratios:
The ratio
can be separated into fractional parts of
and
. We need to know the cat part.
, so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.
Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
9514 1404 393
Answer:
27
Step-by-step explanation:
You want to find x when c = 120.
120 = x^2 -24x +39
x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form
(x -27)(x +3) = 0 . . . . . .factor it
Solutions are ...
x = 27, x = -3 . . . . . values of x that make the factors zero
The number of flags manufactured for a cost of $120 is 27 flags.