A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370 g 370g370, start text, g, end text and a standard deviation of 24 g 24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170 g 170g170, start text, g, end text and a standard deviation of 7 g 7g7, start text, g, end text.

P(T<575) = 0.92

Step-by-step explanation:

The mean of the total amount of product is the sum of the expected (or mean) amounts of each ingredient:

μ = μ flakes + μ raisins

= 370 + 170

= 540

We can find the standard deviation of TTT by adding the variances of the amounts of each ingredient and taking the square root:

σ²T = σ²flakes + σ²raisins

= 24² + 7²

= 625

σT =

= 25

last two pictures are more shown work :)

All of this is correct I promise, it is all from Khan and I read over it myself!!

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  or  

sin y = 7/q

7 is the opposite side length, q is the hypotenuse

tan y = 7/r

7 is the opposite side length, r is the adjacent side length

using sohcahtoa ^^^^

cos y = adjacent/hypotenuse

cos y = r/q