Question 18 The annual salaries of employees in a large company are approximately normally distributed with a mean of \( \$ 50,000 \) and a standard deviation of \( \$ 2000 \). What salary represents the 90 th percentile? (round to nearest integer) Round answer to the nearest integer. Do not include the \( \$ \) symbol in your answer. Do not include commas in your answer. NOTE: The computer will automatically enter commas into your answer.

The melt density is \( 0.73 \mathrm{~g} / \mathrm{cc} \). The die diameter is 3 inches and the die gap is 0.040 inches. 6. Again using the conservation of mass, determine the melt velocity and the take-up ratio. Determine the blow-up ratio and the forming ratio.

Find \( d y / d x \) \[ \begin{aligned} x & =\sqrt[9]{t} \\ y & =2-t\end{aligned} \]

Find the determinant of the elementary matrix \( \left[\begin{array}{lll}1 & k & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right] \)

Consider the path \( \mathbf{r}(t)=\left\langle 14 t, 7 t^{2}, 7 \ln t\right\rangle \) defined for \( t>0 \). Find the length of the curve between the points \( (14,7,0) \) and \( (42,63,7 \ln (3)) \).

The mean percent of childhood asthma prevalence in 43 cities is \( 2.33 \% \). A random sample of 34 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than \( 2.8 \% \) ? Interpret this probability. Assume that \( \sigma=1.39 \% \).