Find the distance between A and B. A(12,-1) B(0,-6)
1 answer:
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Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Answer:
Step-by-step explanation:
Given: Direct Variation
(0,0) ,(3,12),(9,36)
Required
Constant of Variation
Provided that the given data is a direct variation, the constant variation is represented by r.
r is calculated as thus;
Divide both sides by x
Point (0,0) is the center of origin and cannot be used
When x = 3, y = 12
and
When x = 3, y = 12
and
Notice that the value of r remain constant in both cases; Hence, the constant of variation is;