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1 answer:
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Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are 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, we have that:
What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So
has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz
<span>to write 8 21/40 as a decimal we need to write the fraction where denominator is a power of 10.
the denominator now is 40, when we multiply 40 by 25, we get 1000.
then the denominator would be a power of 10.
lets multiply the fraction 21/40 by 25 </span>
<span> 8 21/40 is a mixed fraction made of 8 wholes and a fraction that is now 525/1000.
when dividing by 1000, the decimal point that is after 525 should move 3 decimal places to the left, then the decimal point comes before 525.
then 21/40 is equal to 0.525. since we have 8 wholes; 8 + 0.525 = 8.525</span>
the denominator now is 40, when we multiply 40 by 25, we get 1000.
then the denominator would be a power of 10.
lets multiply the fraction 21/40 by 25 </span>
<span> 8 21/40 is a mixed fraction made of 8 wholes and a fraction that is now 525/1000.
when dividing by 1000, the decimal point that is after 525 should move 3 decimal places to the left, then the decimal point comes before 525.
then 21/40 is equal to 0.525. since we have 8 wholes; 8 + 0.525 = 8.525</span>