Answer:
Step-by-step explanation:
We are told that the area of the bag can be represented by the function and as the bag is raised up its height can be represented by the function
.
Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.
After using distributive property we will get,
Therefore, the collapsible bag can hold grain.
Answer:
n=126
Step-by-step explanation:
Data given and previous concepts
represent the sample mean
represent the sample deviation
n=32 represent the sample size
Confidence =0.95 or 95%
represent the significance level
ME= 2 represent the margin of error required
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
Solution to the problem
Since we don't have the population deviation. We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of ,
and
. The degrees of freedom are given by:
Using the normal standard table, excel or a calculator we see that:
And the code in excel is this one: "=T.INV(1-0.025,31)"
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And if we round up the answer we see that the value of n to ensure the margin of error required is n=126.
