The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:

So, we have:


The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.29
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It all depends on the math question but usually you solve for x, then check it. Plug x back in and see if it works. But it all depends on the math problem
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting
in the above formula, we get




Therefore, the accumulated value of the given investment is $40953.65.
7. (150 cal)/(3/4 serving) = 150/1 / 3/4 = 150/1 * 4/3 = 200 cal/serving