The complex number is represented as 2 + 3i. The conjugate of the complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. Therefore, the correct answer is option B. The conjugate of the complex number is 2 − 3i.
<span>answer
A) (-5,-49),(-2,-22),(3,23)
</span>when x = - 5 ; y=9x-4 = 9(-5) -4 = -49
when x = - 2 ; y=9x-4 = 9(-2) -4 = -22
when x = 3 ; y=9x-4 = 9(3) -4 = 23
Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = mean sale amount for mail order sales = 82.70
x2 = mean sale amount for internet sales = 66.9
s1 = sample standard deviation for mail order sales = 16.25
s2 = sample standard deviation for internet sales = 20.25
n1 = number of mail order sales = 17
n2 = number of internet sales = 10
For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small
Degree of freedom =
(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25
z = 2.787
Margin of error =
z√(s²/n1 + s2²/n2) = 2.787√(16.25²/17 + 20.25²/10) = 20.956190
Answer:
840
Step-by-step explanation:
Given
Required
Determine the number of rankings
The term "ranking" as used in this question implies permutation and the required is calculated using:
Where
So:
<em>Hence, number of ranking is 840</em>
You have to find 1/3 of 24, so it is 8
