Answer:
because this is a right triangle, we have''

Step-by-step explanatio
Recall the Maclaurin expansion for cos(x), valid for all real x :

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

The first 3 terms of the series are

and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01

Then the number defective parts follows a binomial distribution
.
Formula for variance =

Thus, 198 is the variance for the number of defective parts made each week.
There are 36 inches in a yard. 36*6.75 =243. 6.75 yards is the same as 243 inches.
Pick any digit except zero. Write it four times on the same line. If you want to, put a comma between the first and the second one. Shazam ! There's your number !