Answer:
The probability is 0.5438
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
![\mu = 0.8599, \sigma = 0.0519](https://tex.z-dn.net/?f=%5Cmu%20%3D%200.8599%2C%20%5Csigma%20%3D%200.0519)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8542g.
This is 1 subtracted by the pvalue of Z when X = 0.8542. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{0.8542 - 0.8599}{0.0519}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B0.8542%20-%200.8599%7D%7B0.0519%7D)
![Z = -0.11](https://tex.z-dn.net/?f=Z%20%3D%20-0.11)
has a pvalue of 0.4562
1 - 0.4562 = 0.5438
The probability is 0.5438
Hello,
we have to multiply the total number of people by the amount of trash that an average person throws away, then:
![Total\,\,kilograms\,\,of\,\,trash=(4.5*10^{-1})*(3.2*10^{6}) \\ \\ We\,\,know\,\,that:\,\,\,\, x^{a}* x^{b}=x^{a+b} \,\,\,\,and\,\,\,\, \frac{x^{a} }{x^{b}} =x^{a-b} \\ \\ Then: \\ \\ Total\,\,kilograms\,\,of\,\,trash=(4.5*10^{-1})*(3.2*10^{6}) \\ Total\,\,kilograms\,\,of\,\,trash=( \frac{45}{10} *10^{-1})*( \frac{32}{10} *10^{6})\\ Total\,\,kilograms\,\,of\,\,trash=(45*10^{-2} )*(32*10^{5})\\ Total\,\,kilograms\,\,of\,\,trash=(45*32)*(10^{-2}*10^{5})\\ Total\,\,kilograms\,\,of\,\,trash=1440*10^{-2+5}](https://tex.z-dn.net/?f=Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D%284.5%2A10%5E%7B-1%7D%29%2A%283.2%2A10%5E%7B6%7D%29%20%5C%5C%20%20%5C%5C%20We%5C%2C%5C%2Cknow%5C%2C%5C%2Cthat%3A%5C%2C%5C%2C%5C%2C%5C%2C%20x%5E%7Ba%7D%2A%20x%5E%7Bb%7D%3Dx%5E%7Ba%2Bb%7D%20%5C%2C%5C%2C%5C%2C%5C%2Cand%5C%2C%5C%2C%5C%2C%5C%2C%20%5Cfrac%7Bx%5E%7Ba%7D%20%7D%7Bx%5E%7Bb%7D%7D%20%3Dx%5E%7Ba-b%7D%20%5C%5C%20%20%5C%5C%20Then%3A%20%5C%5C%20%20%5C%5C%20Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D%284.5%2A10%5E%7B-1%7D%29%2A%283.2%2A10%5E%7B6%7D%29%20%5C%5C%20Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D%28%20%5Cfrac%7B45%7D%7B10%7D%20%2A10%5E%7B-1%7D%29%2A%28%20%5Cfrac%7B32%7D%7B10%7D%20%2A10%5E%7B6%7D%29%5C%5C%20Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D%2845%2A10%5E%7B-2%7D%20%29%2A%2832%2A10%5E%7B5%7D%29%5C%5C%20Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D%2845%2A32%29%2A%2810%5E%7B-2%7D%2A10%5E%7B5%7D%29%5C%5C%20Total%5C%2C%5C%2Ckilograms%5C%2C%5C%2Cof%5C%2C%5C%2Ctrash%3D1440%2A10%5E%7B-2%2B5%7D)
Answer:
Greater 1 1/2 is 1.50
Step-by-step explanation:
Please Brainliest if right <3
Answer:
show us
Step-by-step explanation: