Part 3 of 3 The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm . a. Find the probability that an individual distance is greater than 213.40 cm . b. Find the probability that the mean for 15 randomly selected distances is greater than 198.50 cm . c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30 ? a. The probability is 0.0661 . (Round to four decimal places as needed.) b. The probability is 0.7422 . (Round to four decimal places as needed.) c. Choose the correct answer below. B. The normal distribution can be used because the original population has a normal distribution. C. The normal distribution can be used because the finite population correction factor is small. D. The normal distribution can be used because the probability is less than 0.5 example Get more help a

6. Suponga que una infección respiratoria se propaga en las "islas" en la UNAM, en la cual habia 1000 estudiantes, de los cuales 2 alumnos regresan enfermos del extranjero. En el segundo día hay 10 enfermos. La enfermedad se propaga a medida que hay más enfermos E y al mismo tiempo mientras haya personas sanas que pueden contagiarse (1000-E) de acuerdo al modelo: \( \qquad \frac{\boldsymbol{d E}}{\boldsymbol{d t}}=\boldsymbol{K E ( 1 0 0 0} \) - \( \left.\boldsymbol{E}\right) \) \( \begin{array}{l}\text { Resuelva el modelo y calcule la solución } \\ \text { particular: }\end{array} \)

Write the expression in the standard form \( a+b i \).

Use the discriminant to determine all values of k which would result in the graph of the equation \( y=k x^{2}-18 x+27 \) being tangent to the x -axis.

\( 4x+16\frac{x^{2}-16}{} \)

A ball is thrown straight upward. The function \( f(t)=-16 t^{2}+64 t \) describes the ball's height above the ground, \( f(t) \), in feet, \( t \) seconds after it is thrown. Complete parts a through \( c \). \( I(4)=0 \) Interpret \( f(4) \). The ball is 0 feet above the ground after 4 seconds. c. Factor the polynomial \( -16 t^{2}+64 t \) and write the function in factored form. \( f(t)=\square \) example Get more help \( ~ \)