Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy = 
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Answer:
307/500
Step-by-step explanation:
307 is a prime number.
The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.
now you take 614/1,000 because that's what you multiplied it by and simplify it.
614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.
Answer:
Step-by-step explanation:
3×1405 and $.65
Answer:
324
Step-by-step explanation:
given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
i.e. Sample proportion 
Margin of error = 4% = 0.04
Confidence level =90%
Z critical value for 90% = 1.645
Margin of error = 1.645 * std error
Hence std error = 
Std error is also equal to

Sample size should be 324.
The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2
The answer to this problem is 4