5.39 Deep mixing of soil. Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer mea- sures the cone tip resistance (megapascals, MPa). The re- searchers established that tip resistance for the deep mixed soil followed a normal distribution with μ = 2.2 MPa and σ = .9 MPa. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. b. Find the probability that the tip resistance will exceed 1.0 MPa. c. Find a value of tip resistance, T, such that 35% of all soil samples have tip resistance values that exceed T.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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5.39 Deep mixing of soil. Deep mixing is a ground improvement
method developed for soft soils like clay, silt, and peat.
Swedish civil engineers investigated the properties of soil
improved by deep mixing with lime-cement columns in the
journal Giorisk (Vol. 7, 2013). The mixed soil was tested
by advancing a cylindrical rod with a cone tip down into
the soil. During penetration, the cone penetrometer mea-
sures the cone tip resistance (megapascals, MPa). The re-
searchers established that tip resistance for the deep mixed
soil followed a normal distribution with μ = 2.2 MPa and
σ = .9 MPa.
a. Find the probability that the tip resistance will fall
between 1.3 and 4.0 MPa.
b. Find the probability that the tip resistance will exceed
1.0 MPa.
c. Find a value of tip resistance, T, such that 35% of all soil
samples have tip resistance values that exceed T.
Transcribed Image Text:5.39 Deep mixing of soil. Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Swedish civil engineers investigated the properties of soil improved by deep mixing with lime-cement columns in the journal Giorisk (Vol. 7, 2013). The mixed soil was tested by advancing a cylindrical rod with a cone tip down into the soil. During penetration, the cone penetrometer mea- sures the cone tip resistance (megapascals, MPa). The re- searchers established that tip resistance for the deep mixed soil followed a normal distribution with μ = 2.2 MPa and σ = .9 MPa. a. Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa. b. Find the probability that the tip resistance will exceed 1.0 MPa. c. Find a value of tip resistance, T, such that 35% of all soil samples have tip resistance values that exceed T.
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