Statistics
based on data collected from its production processes, crosstiles inc. determines that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a standard deviation of 12.5 pounds per square inch. based on the 68-95-99.7 rule, about what percent of its popular porcelain tile will have breaking strengths between 375 and 425 pounds per square inch?
a. 32%
b. 84%
c. 95%
d. 68%
e. 47.5%
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95

Step-by-step explanation:

If the mean is 400 and the standard deviation 12.5. It means that a range between 375 and 425 is the mean +- 2 standard deviations

400 - 12.5*2 = 375

400 + 12.5*2 = 425

Which means the probability is 95%

When you are looking for +- 1 deviation standard the probability is 68, and for +- 3 the probability is 99.7

There is a more complex explanation based on Z, but assuming you are only applying 68-95-99.7 rule this should be enough.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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