The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 20 years old. (a) Transform the age to a \( z \)-score. (b) Interpret the results. (c) Determine whether the age is unusual. (a) Transform the age to a \( z \)-score. \( z=\square \) (Type an integer or decimal rounded to two decimal places as needed.)

BIUe make varies directly with the number of hours she spends making them. She can make 8 TikToks in \( \frac{1}{2} \) an hour. How many TikToks can Celia make in 3 hours?

Subtract. \[ \left(9 x^{4} y^{2}-12 x^{3} y+2 y\right)-\left(4 x^{4} y^{2}+8 x^{3} y-4 y-2 x\right) \] \( \left(9 x^{4} y^{2}-12 x^{3} y+2 y\right)-\left(4 x^{4} y^{2}+8 x^{3} y-4 y-2 x\right)=\square \)

Divide the polynomial by the monomial. Check the answer by showing that the product of the divisor and the quotient is the dividend. \( \frac{20 x^{4}-24 x^{3}}{4 x} \) \( \frac{20 x^{4}-24 x^{3}}{4 x}=\square \)

2. A diver's elevation is -30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive? (A) 12 feet

02.(2,0 pontos) Calcule, usando a técnica de substituição trigonométrica \[ \int \frac{d x}{\sqrt{25-x^{2}}} \] 03. (2,0 pontos) Encontre o termo geral das sequências: a ) \( 1,2,4,8, \ldots \). b ) \( 0,3,5,8,11, \ldots \)