In acute triangle $abc$ we have $\cos a \cos b = \frac{1}{3}$ and $\sin a \sin b = \frac{1}{2}.$ if the area of triangle $abc$ is 1, what is the area of the orthic triangle? (the orthic triangle has vertices at the feet of the altitudes of the triangle.)

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

x=30

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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