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motikmotik
3 years ago
13

A personnel director at a large company studied the eating habits of employees by watching the movements of a selected group of

employees at lunchtime. The purpose of the study was to determine the proportion of employees who buy lunch in the cafeteria, bring their own lunches, or go out to lunch. 1. The study could best be categorized as _______. a) a census b) a survey sample c) an observational study d) a designed experiment e) none of these 2. If the director includes only the employees in one department in her study, she is performing a _______. a) simple random sample b) quota sample c) convenience sample d) multi-stage sample e) census 3. If the director selects 50 employees at random from throughout the company and categorizes their lunchtime practices by gender, she is _______. a) blocking for gender b) testing for a lurking variable c) promoting sexual harassment d) testing for bias e) none of these
Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

  1. c) an observational study
  2. c) convenience sample
  3. a) blocking for gender

Step-by-step explanation:

It is an abservational study because she is only watching and not asking the all or a group of employees to tell her their response to what she wants to know.

It is a convenience sample because subjects are selected because of their closeness to the researcher.

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The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

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The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

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