1. A concrete-mix company received a contract for a new apartment building site. Rocks are being crushed to make gravel. The stones have a normally distributed mass, their mean mass is 5.2 g and the standard deviation is 0.4 g. Use the normal curve shown to represent the normally distributed mass and answer the following questions without using a calculator. On the diagram, place masses under each o value to make answering the questions easier. equal halves 0.15% 2.13% -30 -20 99.7% -10 95.5% 13.60% 34.13% 34.13% P 68.3% a) Percentage of rocks with a mass greater than 4.0 g? b) Percentage of rocks with a mass less than 4.0 g? 13.60% +10 c) Percentage of rocks with a mass between 4.8 g and 5.6 g? +20 2.13% +30 0.15%

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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1. A concrete-mix company received a contract for a new apartment building site. Rocks are
being crushed to make gravel. The stones have a normally distributed mass, their mean mass
is 5.2 g and the standard deviation is 0.4 g. Use the normal curve shown to represent the
normally distributed mass and answer the following questions without using a calculator. On
the diagram, place masses under each o value to make answering the questions easier.
equal halves
0.15%
2.13%
-30
-20
99.7%
-10
95.5%
13.60% 34.13% 34.13%
P
68.3%
a) Percentage of rocks with a mass greater than 4.0 g?
b) Percentage of rocks with a mass less than 4.0 g?
13.60%
+10
c) Percentage of rocks with a mass between 4.8 g and 5.6 g?
+20
2.13%
+30
0.15%
Transcribed Image Text:1. A concrete-mix company received a contract for a new apartment building site. Rocks are being crushed to make gravel. The stones have a normally distributed mass, their mean mass is 5.2 g and the standard deviation is 0.4 g. Use the normal curve shown to represent the normally distributed mass and answer the following questions without using a calculator. On the diagram, place masses under each o value to make answering the questions easier. equal halves 0.15% 2.13% -30 -20 99.7% -10 95.5% 13.60% 34.13% 34.13% P 68.3% a) Percentage of rocks with a mass greater than 4.0 g? b) Percentage of rocks with a mass less than 4.0 g? 13.60% +10 c) Percentage of rocks with a mass between 4.8 g and 5.6 g? +20 2.13% +30 0.15%
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