2. Lorenzo has a checkbook balance of $118.00. He writes two checks, one for $9.00 and one for $84.25. He then deposits $95.00
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We have been given a function . We are asked to find the formula which gives the x-coordinates of the maximum values for given function.
We know that cosine function oscillates between and 1 that is minimum value of cosine is
and maximum value is
.
We also know that and after period of cosine is
. This means after every
, we will get to
.
So maximum of cosine is , where n is an integer.
Therefore, our required formula is , where,
Answer: a. n= 1068
b. n= 164
Step-by-step explanation:
The formula to find the sample size :
, where p=prior population proportion , z* = critical z-value and E = Margin of error.
Here , let p=proportion of computers that use a new operating system.
Given : Confidence level = 95%
i.e. z* = 1.96 [by z-table]
Margin of error : E = 3% =0.03
a. If p is unknown , then we assume p=0.5
Then,
i.e. n= 1068
b. p=0.96
Then,
i.e. n= 164.