Algebraic expression: 4n + 8 = 5
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
Answer:
Step-by-step explanation:
Only one
Answer:
$1.29
Step-by-step explanation:
Divide 15.48 by 12:
15.48 divided by 12= 1.29.
$1.29
Answer:
The mean of this distribution is approximately 3.96.
Step-by-step explanation:
Here's how to solve this problem using a normal distribution table.
Let 
be the
.
In this question, 
and 
. The equation becomes
.
To solve for 
, the mean of this distribution, the only thing that needs to be found is the value of . Since
The problem stated that 
. Hence, 
.
The problem is that the normal distribution tables list only the value of 
for 
. To estimate from , it would be necessary to find the appropriate
Since and is greater than 
, 
. As a result, 
can be written as the sum of 
and . Besides, 
. As a result:
.
Therefore:
.
Lookup 
on a normal distribution table. The corresponding -score is 
. (In other words, 
.)
Given that
Solve the equation for the mean, :
.
.
,
, and