A company that manufactures rivets believes the shear strength​ (in pounds) is modeled by ​N(750​,30​). Use the 68–95–99.7 Rule to complete parts​ a) through​ c) below. ​a) Draw and label the Normal model. ​b) Would it be safe to use these rivets in a situation requiring a shear strength of 720 ​pounds? Explain. Choose the correct answer below. A. ​No, because about​ 32% of all of this​ company's rivets have a shear strength of less than 720 pounds. B. ​Yes, because very nearly all of this​ company's rivets have a shear strength of more than 720 pounds. C. ​No, because about​ 16% of all of this​ company's rivets have a shear strength of less than 720 pounds. D. ​Yes, because only about​ 2.5% of all of this​ company's rivets have a shear strength of less than 720 pounds. ​c) About what percent of these rivets can be expected to fall below 810 ​pounds?

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A company that manufactures rivets believes the shear strength​ (in pounds) is modeled by

​N(750​,30​).

Use the

68–95–99.7

Rule to complete parts​ a) through​ c) below.

 

​a) Draw and label the Normal model. 

 

​b) Would it be safe to use these rivets in a situation requiring a shear strength of
720
​pounds? Explain. Choose the correct answer below.
 
 
A.
​No, because about​ 32% of all of this​ company's rivets have a shear strength of less than
720
pounds.
 
B.
​Yes, because very nearly all of this​ company's rivets have a shear strength of more than
720
pounds.
 
C.
​No, because about​ 16% of all of this​ company's rivets have a shear strength of less than
720
pounds.
 
D.
​Yes, because only about​ 2.5% of all of this​ company's rivets have a shear strength of less than
720
pounds.
 
​c) About what percent of these rivets can be expected to fall below
810
​pounds?
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