Not much can be done without knowing what

is, but at the least we can set up the integral.
First parameterize the pieces of the contour:


where

and

. You have


and so the work is given by the integral


Answer: 2x-y=15
Step-by-step explanation: can u be more detailin
Answer:
x = 145.161290323
x ≈ 145.161
Step-by-step explanation:
9.3x + 450 = 1800
-450 -450
9.3x = 1350
/9.3 /9.3
x = 145.161290323
x ≈ 145.161
Hope this helps!
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
Answer:
608
Step-by-step explanation:
There are a total of 1,824 drinks since there were 76 cases at 24 drinks a piece. This creates a total number of 24*76 = 1824.
If each student receives 3 then 1824/3 = 608. There were 608 students.