The capacity of the milk pitcher on the counter is 9/10 liter each one pitcher has3/8 of milk in it and the other pitcher has 5/
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Answer:
0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.
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:
Find the probability that the diameter of a selected bearing is greater than 85 millimeters.
This is 1 subtracted by the pvalue of Z when X = 85. Then
has a pvalue of 0.7486.
1 - 0.7486 = 0.2514
0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
Use Vieta's rule to get the roots,
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at which means the set for which the quadratic function is greater than 0 is
"all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
Hope this helps :)