Determine the Lagrange multiplier.

A) 80.34
B) 90.34
C) 17.96
D) 5.17

In a 4 × 3 factorial design,how many levels are in the first grouping factor?

A) 3
B) 4
C) 7
D) 12

Breanne sews for a clothing manufacturer. She is paid $7.50 per hour plus a piece rate that depends on the type of garment in production. The current production run is men's shirts, for which she is paid $3.00 for each unit exceeding her quota of 20 shirts in an 8-hour shift. What will be her total pay for a regular workweek in which her output on successive days was 24, 26, 27, 28, and 30 shirts?

The variance of a portfolio of two investments will be equal to the sum of the variances of the two investments when the covariance between the investments is zero.

There are two main categories of hypotheses.They are ______.

A) null and research hypotheses
B) null and sample hypotheses
C) research and population hypotheses
D) research and sample hypotheses

Use the sample data below to test whether car colour affects the likelihood of being in an accident.Use a 5% level of significance. $$\begin{array}{clcc}& \text{ Red }& \text{ Blue }& \text{ White }\\ \begin{array}{c}\text{ Car has been in }\\ \text{ accident }\end{array}& 28& 33& 36\\ \begin{array}{c}\text{ Car has not been }\\ \text{ in accident }\end{array}& 23& 22& 30\end{array}$$