Answer:
open the bracket
(4X+)-3X-2-72+X=X
4X+(-3X)-74+X=X
X-74+X=X
2X-74=X
then collect the term
-74=X-2X
-74=-X
divide by negative every side then you get
X=74
Step-by-step explanation:
step 1. all the side length are different therefore all of the internal angles are different.
step 2. a triangle with all different angles is scalene.
step 3. all of the angles are less than 90°
step 4. a triangle with all angles less than 90° is acute.
Answer:
Cierra and fionna
Step-by-step explanation:
because their under 0
and 0 is the school average
Answer:
21.25ft?
Step-by-step explanation:
Make the ratio equal to 1
so 2÷2 = 1
and 5÷2 = 2.5
so the ratio is 1in :2.5 ft
so if the drawing is 8.5 in
then in (ft) it is 8.5×2.5=21.25ft
The expectation, E(3y +2) and variance, Var(3y+2) of the random variable are 13.4 and 19.44 respectively
<h3>How to determine the expectation and variance of a random variable?</h3>
The expectations or expected value E(y) of a random variable can be thought of as the “average” value of the random variable. It is also called its mean
By definition:
if y = ax + b
then E(y) = aE(x) + b
where a,b = constant
The variance V(y) of a random variable is the measure of spread for the distribution of a random variable that determines the degree to which the values of a random variable differ from the expected value
By definition
if y = ax + b
V(b) = 0
V(y) = V(ax) + V(b)
= a²V(x) + 0
where a,b = constant
Given: E(y)= 3.8 and Var(y)= 2.16
Calculate E( 3y +2) and Var( 3y+ 2)
E(3y +2) = 3E(y) + 2 since E(y) = 3.8
= 3×3.8 + 2
= 11.4+2
= 13.4
Var(3y+2) = 3²Var(y) + 0
= 9×2.16
= 19.44
Therefore, E(3y +2) is 13.4 and Var(3y+2) is 19.44
Learn more about expectations and variance on:
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