The absolute value of -5 is 5, and the absolute value of 5 is also 5. ∣ a + b i ∣ = a 2 + b 2 . |a+bi| = \sqrt{a^2 +b^2}.
Answer:
option 1
Step-by-step explanation:
the pattern will continue like this:
50 - 25
answer 1 is the correct answer!
The answer is that f-1(3) = 7.
In order to find the answer, we first must find the inverse function. The f-1 indicates that we are looking for an inverse. To find any inverse, we first must switch the x and f(x) values. We then solve for the new f(x), which gives us the inverse.
f(x) = (2x - 2)/4 ----> Switch x and f(x)
x = (2f(x) - 2)/4 -----> Multiply both sides by 4
4x = 2f(x) - 2 ----0-> Add 2 to both sides
4x + 2 = 2f(x) ------> Divide both sides by 2
f-1(x) = (4x + 2)/2
Now that we have the inverse function, we can put in 3 and find the answer.
f-1(x) = (4x + 2)/2
f-1(3) = (4(3) + 2)/2
f-1(3) = (12 + 2)/2
f-1(3) = (14)/2
f-1(3) = 7
Answer:
A sample size of 3 is required.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 2.054.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.
This means that 
He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.
The sample size needed is of n, and n is found when M = 5. So
Rounding up:
A sample size of 3 is required.
