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Mining for dolomite. Dolomite is a valuable mineral that
Chapter 3, Problem 85E(choose chapter or problem)
Problem 85E
Mining for dolomite. Dolomite is a valuable mineral that is found in sedimentary rock. During mining operations, dolomite is often confused with shale. The radioactivity features of rock can aid miners in distinguishing between dolomite and shale rock zones. For example, if the Gamma ray reading of a rock zone exceeds 60 API units, the area is considered to be mostly shale (and is not mined); if the Gamma ray reading of a rock zone is less than 60 API units, the area is considered to be abundant in dolomite (and is mined). Data on 771 core samples in a rock quarry collected by the Kansas Geological Survey revealed the following: 476 of the samples are dolomite and 295 of the samples are shale. Of the 476 dolomite core samples, 34 had a Gamma ray reading greater than 60. Of the 295 shale core samples, 280 had a Gamma ray reading greater than 60. Suppose you obtain a Gamma ray reading greater than 60 at a certain depth of the rock quarry. Should this area be mined?
Questions & Answers
QUESTION:
Problem 85E
Mining for dolomite. Dolomite is a valuable mineral that is found in sedimentary rock. During mining operations, dolomite is often confused with shale. The radioactivity features of rock can aid miners in distinguishing between dolomite and shale rock zones. For example, if the Gamma ray reading of a rock zone exceeds 60 API units, the area is considered to be mostly shale (and is not mined); if the Gamma ray reading of a rock zone is less than 60 API units, the area is considered to be abundant in dolomite (and is mined). Data on 771 core samples in a rock quarry collected by the Kansas Geological Survey revealed the following: 476 of the samples are dolomite and 295 of the samples are shale. Of the 476 dolomite core samples, 34 had a Gamma ray reading greater than 60. Of the 295 shale core samples, 280 had a Gamma ray reading greater than 60. Suppose you obtain a Gamma ray reading greater than 60 at a certain depth of the rock quarry. Should this area be mined?
ANSWER:
Solution:
Step 1 of 2:
We have n = 771
Let, S = {shale}
= 295
D = {Dolomite}
= 476
G = {gamma ray reading > 60}
The Gamma ray reading is greater than 60 at a certain depth of the rock quarry.
The claim is to check this area is mined.