A town is having an event where local restaurants showcase their best dishes. A party tent will be set up in the town square for this event. The entrance to this tent is to be 72 inches high. The residents of the town have heights that are approximately normally distributed with a mean of 67.8 inches and a standard deviation of 4.2 inches. Based on the Empirical Rule, what is the probability that a resident will be too tall to enter the tent without bowing his or her head? Express your answer as a decimal to the hundredths place.

three-fourths of an hour

36÷48=0.75

0.75=

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: