Suppose that iq scores have a bell-shaped distribution with a mean of 103 103 and a standard deviation of 14 14 . using the empirical rule, what percentage of iq scores are less than 145 145 ? do not round your answer.

145 is 3 standard deviations above 103, since the difference, 42, is 3 times 14.

The rule I suppose is 68-95-99.7 the last number meaning 99.7% of the area of the Gaussian is between -3 and +3 standard deviations.

That's 0.3% leftover, 0.15% in each tail so

99.85%

of the scores are (expected to be) less than 145.

a box 3 3/4 feet long or 4+ feet.

step-by-step explanation:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2