The table shows values for the two functions f and g for different values of x.
2 answers:
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Answer:
228 cookies wil be rejected in a 5,000 count batch of cookies.
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 question:
Proportion of rejected cookies.
Less than 39:
pvalue of Z when X = 39.
has a pvalue of 0.0228.
More than 45:
1 subtracted by the pvalue of Z when X = 45.
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Total:
2*0.0228 = 0.0456
How many cookies wil be rejected in a 5,000 count batch of cookies?
The proportion of cookies rejected is 0.0456. Out of 5000:
0.0456*5000 = 228
228 cookies wil be rejected in a 5,000 count batch of cookies.
Answer:
C. Subtract 30 × 26 from 832 to get 52. Then subtract 2 x 26 from 52 to get 0.
Then add the partial quotients 30 + 2 to get 32. The quotient is 32.
Step-by-step explanation:
The attached shows the use of partial quotients to create the next dividend in the long division process. Each quotient digit is multiplied by the divisor and that product is subtracted from the dividend to create the next dividend. Then the process is repeated.
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Here, the correct answer choice is the only one that has the correct quotient.
