My other answer was was lacking (I also believe I should have furthermore edited it.), therefore I will attempt to explain the steps correctly this time. I don't know what exactly is requested nor what you are learning, but I suspect it would be combinations, factorials, and/or permutations, something along those lines. Firstly I figured out my answer using factorials.
FROM: F,R,O,M. This obtains 4 letters.
4! (1 x 2 x 3 x 4)= 24
I am unsure if this is what you are looking for though. I hope this helped a bit.
Answer:
66.63
Step-by-step explanation:
To find the diagonal length, use Pythagorean’s theorem.
Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63.
Hope this helps
Answer:
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
![\mu = 5, \sigma = 0.2](https://tex.z-dn.net/?f=%5Cmu%20%3D%205%2C%20%5Csigma%20%3D%200.2)
What is the minimum weight of the heaviest 9.85% of all items produced?
This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.29 = \frac{X - 5}{0.2}](https://tex.z-dn.net/?f=1.29%20%3D%20%5Cfrac%7BX%20-%205%7D%7B0.2%7D)
![X - 5 = 1.29*0.2](https://tex.z-dn.net/?f=X%20-%205%20%3D%201.29%2A0.2)
![X = 5.26](https://tex.z-dn.net/?f=X%20%3D%205.26)
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
![average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions}](https://tex.z-dn.net/?f=average%20%3D%20%20%5Cfrac%7Bsum%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3Aall%20%5C%3A%20%20%5C%3A%20%20obeservations%7D%7Bno.%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20observaions%7D%20)
![= \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1205%20%2B%201450%20%2B%201530%20%2B%201655%20%2B%201610%20%2B%201710%7D%7B6%7D%20)
![= \frac{9160}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B9160%7D%7B6%7D%20)
![= 1526.66](https://tex.z-dn.net/?f=%20%3D%20%201526.66)
___________________________________________
1526.66 is the average of his sales for this period.
Answer:
B) 4: 0
Step-by-step explanation: