Answer:
We get that the heaviest of fruits weigh 766.84 grams.
Step-by-step explanation:
We know that a particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams.
We have:
![\mu=738\\\\\sigma=14](https://tex.z-dn.net/?f=%5Cmu%3D738%5C%5C%5C%5C%5Csigma%3D14)
We calculate x:
![P(X](https://tex.z-dn.net/?f=P%28X%3Cx%29%3D1-0.02%5C%5C%5C%5CP%5Cleft%28%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3C%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cright%29%3D0.98%5C%5C%5C%5CP%5Cleft%28%5Cfrac%7BX-738%7D%7B14%7D%3C%5Cfrac%7Bx-738%7D%7B14%7D%5Cright%29%3D0.98%5C%5C%5C%5CP%5Cleft%28Z%3C%5Cfrac%7Bx-738%7D%7B14%7D%5Cright%29%3D0.98%5C%5C)
We use the standard normal table and we get: Z=2.06.
So, we get
![2.06=\frac{x-738}{14}\\\\x-738=28.84\\\\x=766.84](https://tex.z-dn.net/?f=2.06%3D%5Cfrac%7Bx-738%7D%7B14%7D%5C%5C%5C%5Cx-738%3D28.84%5C%5C%5C%5Cx%3D766.84)
We get that the heaviest of fruits weigh 766.84 grams.
Yes because an integer is a whole number
Answer:
Ok fail then. bro chill I’m jk lol do i think it the second one tho
Step-by-step explanation:
Given expression:
To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
![\implies \dfrac{[10(0.8) - 10(0.6)]}{10}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B%5B10%280.8%29%20-%2010%280.6%29%5D%7D%7B10%7D)
![\implies \dfrac{[8 - 6]}{10}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B%5B8%20-%206%5D%7D%7B10%7D)
![\implies \dfrac{[2]}{10} = \dfrac{2}{10}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B%5B2%5D%7D%7B10%7D%20%3D%20%5Cdfrac%7B2%7D%7B10%7D)
When 2/10 is simplified in lowest terms, we get;
![\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cdfrac%7B2%7D%7B10%7D%20%5Cimplies%20%5Cdfrac%7B1%20%5Ctimes%202%7D%7B5%20%5Ctimes%202%7D%20%5Cimplies%20%5Cdfrac%7B1%7D%7B5%7D)
Therefore, 0.8 - 0.6 in fraction form is 1/5.