Answer:
The 90% confidence interval for the population mean is (300.78, 315.22).
Step-by-step explanation:
We have to calculate a 90% confidence interval for the mean.
The population standard deviation is know and is σ=17.
The sample mean is M=308.
The sample size is N=15.
As σ is known, the standard error of the mean (σM) is calculated as:
The z-value for a 90% confidence interval is z=1.645.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population mean is (300.78, 315.22).
$1.32 ÷ 12 ounces = $0.11 per ounce
$0.11 x 16 ounces = $1.76
A 16 ounce lemonade is $1.76.
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Answer:
Step-by-step explanation:
First rearrange all equations into this format:
that will result in:
then we'll multiply an equation with a number such that we have same numbers on both equations (with only different signs). So we can add them
Here you can see that we've multiplied the first equation with (-3) so that we have -9x on one equation and 9x on the other. Now when we add the two equations the 9x and -9x terms will cancel out (or eliminate)
now that we've found the value of y
we'll use this value in any of the two equations to get the value of x.
let's put y in the first equation: