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Answer:
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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:
Middle 90%
Between the 50 - (90/2) = 5th percentile to the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.
95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Answer:
Step-by-step explanation:
1. Given differential equation is
On integrating both sides, we will have
Hence, the solution of given differential equation can be given by
2. Given differential equation,
On integrating both sides, we will have
Hence, the solution of given differential equation is
The factor of the provided polynomial after the factorization process are similar to option B, which is
The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
Find these factors by taking out the common factors.
The given polynomial equation in the problem is,
The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,
Take out the highest common factor -1 from the second two terms as,
Now take out the common group (x+4) as,
The second group can be rewritten using the difference of square formula as,
Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is
Learn more about factor of polynomial here;