Which term fits best?
2 answers:
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Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.
In this problem, the product is composed by flakes and raisins, and we have that:
Hence, the distribution for the total amount of product has <u>mean and standard deviation</u> given by:
The probability that the total amount of product is less than 575 g is the <u>p-value of Z when X = 575</u>, hence:
has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at brainly.com/question/22934264
If all four dimensions of triangular prism having surface area as 288 is doubled than new surface area will be four times than the initial prism that is 1152 square unit.
<h3><u>Solution:</u></h3>Given that
Surface area of a triangular prism = 288 square unit
Need to evaluate new surface area if all four measurement of triangular prism is double.
Relation between surface area and the four dimensions of the triangular prism is given by following formula
Surface Area of triangular prism = bh + 2ls + lb
Where h is height of the prism , b is length of base of the prim , l is length of the prism and s is side length of the prism.
Given that Area of triangular prism = 288 square unit
=> bh + 2ls +lb = 288
Doubling the four dimensions means replace b by 2b, l by 2l , s by 2s and h by 2h in formula of Surface area of triangular prism.
=> Surface area of new triangular prism = 4 (bh + 2ls +lb)
=> Surface area of new triangular prism = 4 x 288 = 1152 square unit.
Hence we can conclude that if all four dimensions of triangular prism having surface area as 288 is doubled than new surface area will be four times than the initial prism that is 1152 square unit.