Answer:
Regroup Terms: cos 45 tan 45x + tan^2 tan 30x, 60
So the original price is "x".
the discounted price by 10% is P(x) = 0.9x.
the price minus a $150 coupon is C(x) = x - 150.
so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.
C( P(x) ) = P(x) - 150
C( P(x) ) = 0.9x - 150
Transform M to the standard normally distributed random variable Z via

where
and
are the mean and standard deviation for
, respectively. Then

The percent of the 7th graders that are in favor of school uniforms is 42.857% which can be rounded as 42.9%.
The survey results show there are a total of 112 7th-grade students and from this total, the number of students that support school uniforms is 48.
Let's calculate the percentage 48 represents:
- x = 48 x 100 / 112
- x = 4800 / 112
- x = 42. 857
This means the percentage of 7th graders that support uniforms is 42.857% which can be rounded to
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