Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e.
and ![\sigma=0.9](https://tex.z-dn.net/?f=%5Csigma%3D0.9)
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula : ![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-
![P(29.82](https://tex.z-dn.net/?f=P%2829.82%3Cx%3C30.27%29%3DP%28%5Cdfrac%7B29.82-30%7D%7B%5Cdfrac%7B0.9%7D%7B%5Csqrt%7B36%7D%7D%7D%3C%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%3C%5Cdfrac%7B30.27-30%7D%7B%5Cdfrac%7B0.9%7D%7B%5Csqrt%7B36%7D%7D%7D%29%5C%5C%5C%5C%3DP%28-1.2%3Cz%3C1.8%29%5C%5C%5C%5C%3DP%28z%3C1.8%29-P%28z%3C-1.2%29%5C%5C%5C%5C%3DP%28z%3C1.8%29-%281-P%28z%3C1.2%29%29%5C%20%5C%20%7B%5B%5Cbecause%5C%20P%28Z%3C-z%29%3D1-P%28Z%3Cz%29%5D%7D%5C%5C%5C%5C%3D%200.9641-%281-0.8849%29%5B%5Ctext%7BBy%20using%20z-table.%7D%5D%5C%5C%5C%5C%3D0.8490)
∴ Required probability = 0.8490
Answer:
0.25m or 1/4m
Step-by-step explanation:
Given Height of Dorsal Fin = 1/6 of Length of whale Sculpture,
and given length of whale sculpture = 1.5m or ![1\frac{1}{2} m\\](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D%20m%5C%5C)
Height of Dorsal fin on scuplture = ![(\frac{1}{6})(1\frac{1}{2} )\\](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%29%281%5Cfrac%7B1%7D%7B2%7D%20%29%5C%5C)
= ![(\frac{1}{6} )(\frac{3}{2}) \\= \frac{3}{12} \\= \frac{1}{4}m or 0.25m](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B6%7D%20%29%28%5Cfrac%7B3%7D%7B2%7D%29%20%5C%5C%3D%20%5Cfrac%7B3%7D%7B12%7D%20%5C%5C%3D%20%5Cfrac%7B1%7D%7B4%7Dm%20or%200.25m)
Okay, so the first thing we have to do is take 6ft and convert it into inches so we get the equation (6x12)+6 6 times 12 is 72 so that gives us 72in plus 6 which is 78 and with that answer we take 78in and divide it by 6.17 which is 12.18. She has a long arm measuring i while feet and 18 inches lol
Answer:
1/36
Step-by-step explanation:
it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}
you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...