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4 years ago

PLEASEE HELP FIRST ONE IS QUESTION THE REST ARE CHOICES What is the following difference?

Mathematics

2 answers:

Alisiya [41]4 years ago

6 0

2ab (cube root(192ab^2)) - 5 (cube root(81a^4b^5))
First simplify the radicals.
cubert (192) = (4*4*4*3) = 4cubert(3)
cubert (81) = (3*3*3*3) = 3cubert(3)
8ab cubert(3ab^2) - 15ab cubert(3ab^2)
- 7ab cubert (3ab^2)
Option 4

son4ous [18]4 years ago

4 0

$2ab( \sqrt[3]{192ab^2} )-5( \sqrt[3]{81a^4b^5} )=2ab( \sqrt[3]{4^3*3*ab^2} )-5( \sqrt[3]{3^3*3*a^4b^5} )= \\ \\ =2ab(4 \sqrt[3]{3ab^2} )-5( 3ab\sqrt[3]{3ab^2} )=8ab(\sqrt[3]{3ab^2} )- 15ab(\sqrt[3]{3ab^2} )= \\ \\ =(8ab-15ab)(\sqrt[3]{3ab^2})=-7ab(\sqrt[3]{3ab^2})$

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3 years ago

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2 years ago

find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe

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Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula $M=Z*\frac{\sigma}{\sqrt{n}}$ 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:

$M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244$

The formula for a confidence interval is $CI=\bar{x}+M$ where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

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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}

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3 years ago