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german
3 years ago
15

Lynn bought a bag of grapefruit, 1 5/8 pounds of apples, and 2 3/16 pounds of bananas. The total weight of her purchase was 7 1/

2 pounds. How much did the bag of grapefruit weigh?
Mathematics
1 answer:
Virty [35]3 years ago
8 0
If you would like to know how much did the bag of grapefruit weigh, you can calculate this using the following steps:

7 1/2 pounds - 1 5/8 pounds of apples - 2 3/16 pounds of bananas = 7 1/2 - 1 5/8 - 2 3/16 = 15/2 - 13/8 - 35/16 = 120/16 - 26/16 - 35/16 = 59/16 = 3 11/16 pounds of grapefruit

The correct result would be 3 11/16 pounds of grapefruit.
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Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

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This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (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)

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