Answer:
{13.7756,18.2244}
Step-by-step explanation:
Given the sample size, the margin of error can be calculated with the formula 
where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:
The formula for a confidence interval is 
where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:
![CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}](https://tex.z-dn.net/?f=CI%3D%5Cbar%7Bx%7D%5Cpm%5BM%5D%3D16%5Cpm2.2244%3D%7B13.7756%2C18.2244%7D)
Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}
The fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.
We know that fraction is an expression in mathematics used to denote the division of two whole numbers.
Given that the total distance = 48 km.
The distance Sapna traveled by car = 18 km.
So, the fraction is = distance traveled by car/total distance = 18/48 = 3/8
The distance Sapna traveled by train = 48 - 18 km = 30 km.
So, the fraction is = distance traveled by train/total distance = 30/48 = 5/8
Therefore the fraction of the journey Sapna traveled by car and train is 3/8 and 5/8 respectively.
Know more about fractions here -
brainly.com/question/10354322
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Answer:
4
Step-by-step explanation:
have a nice day
Answer:
the x is the independent variable so the guests the y is the dependent variable so the cost.
Step-by-step explanation:
because so when there are 100 people there is 4,200 +750 and the cost is 4,950
Answer:
1329.85≤μ≤1330.14
Step-by-step explanation:
z score for 99% confidence interval
from the z table we can find that the score for 99% confidence is 2.58
formula
z=![\frac{x-μ}{[tex]\frac{{σ}[tex]\sqrt{n}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-%CE%BC%7D%7B%5Btex%5D%5Cfrac%7B%7B%CF%83%7D%5Btex%5D%5Csqrt%7Bn%7D)
}[/tex]}[/tex]
where
x-sample mean
μ-population mean
σ-population standard deviation
n-sample size
2.58=![\frac{1330-μ}{[tex]\frac{{442}[tex]\sqrt{24}](https://tex.z-dn.net/?f=%5Cfrac%7B1330-%CE%BC%7D%7B%5Btex%5D%5Cfrac%7B%7B442%7D%5Btex%5D%5Csqrt%7B24%7D)
}[/tex]}[/tex]
1330-2.58×24÷442≤μ≤1330+2.58×24÷442
1329.85≤μ≤1330.14
