Isolate the variable by dividing each side by the factors that don't contain the variable
v=2
Answer:
i think its c
Step-by-step explanation:
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
Answer:
101, 3, 0.025, 0.7416
Step-by-step explanation:
Given that a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12.
As per central limit theorem we have
a) Mean of sample mean = 
Std deviation of sample mean = 
Mean = 101
Std dev =3.00
b) 
c) the probability that the sample mean deviates from the population mean μ = 101 by no more than 4.
=
Answer:
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
Step-by-step explanation:
Custodian at Movie Theater
pay:$9.95
per hours:
15.25 hours per week
How much do they make in
1) a- week
1 week = 15.25 hours
Hence,
1 hour = $9.95
15.25 hours = x
Cross Multiply
x = 15.25 × $9.95
x = $151.7375
Approximately = $151.74
2) A month
There are 4 weeks in a month
1 week = $151.74
4 weeks = x
Cross Multiply
x = 4 × $151.74
x = $606.96
3) A year
There are 52 weeks in a year
Hence,
1 week = $151.74
52 weeks = x
Cross Multiply
x = 52 × $151.74
x = $7890.48
Therefore, they made in :
1) A week: $151.74
2) A month : $606.96
3) A years : $7890.48
