First Two Games of the Season A) $\left[ \begin{array} { l l } 5 & 62 \end{array} \right]$

question 109

Multiple Choice

first two games of the season. Write a matrix containing the total number of points and rebounds for each of the starting
five.
$$\begin{array}{l}\begin{array} { l | c | c } \text { Game } 1 & \text { Points } & \text { Rebounds } \\\hline \text { Levy } & 20 & 3 \\\text { Cowens } & 16 & 5 \\\text { Williams } & 8 & 12 \\\text { Miller } & 6 & 11 \\\text { Jenkins } & 10 & 2\end{array}\\\\\begin{array} { l | c | c } \text { Game } 2 & \text { Points } & \text { Rebounds } \\\hline \text { Levy } & 18 & 4 \\\text { Cowens } & 14 & 3 \\\text { Williams } & 12 & 9 \\\text { Miller } & 4 & 10 \\\text { Jenkins } & 10 & 3\end{array}\end{array}$$

A) $\left[ \begin{array} { l l } 5 & 62 \end{array} \right]$
В) $\left[ \begin{array} { r r } 7 & 38 \\ 30 & 8 \\ 21 & 20 \\ 21 & 10 \\ 5 & 20 \end{array} \right]$
C) $\left[ \begin{array} { r r } 38 & 7 \\ 30 & 8 \\ 20 & 21 \\ 10 & 21 \\ 20 & 5 \end{array} \right]$
D) $[ 625 ]$ Answer: C
-A bakery sells four main items: rolls, bread, cake, and pie. The amount of each of five ingredients (in cups, except for eggs) required to make a dozen rolls, a loaf of bread, a cake, or a pie is given by matrix A. The cost (in cents) per unit of ingredient when purchased in large lots or small lots is given in matrix B.
Use m Cost
Large Lot Small Lot
$\left[ \begin{array} { l } \text { Eggs } \\ \text { Flour } \\ \text { Sugar } \\ \text { Shortening } \\ \text { Milk } \end{array} \right] \left[ \begin{array} { l l } 4 & 5 \\ 7 & 10 \\ 12 & 12 \\ 15 & 16 \\ 4 & 6 \end{array} \right] = B$ atrix multiplication to find a matrix giving the comparative cost per item for the two purchase options. Give each Cost to the nearest cent.

• A) \(\left[ \begin{array} { l l } 5 & 62 \end{array} \right]\)
• В) \(\left[ \begin{array} { r r } 7 & 38 \\ 30 & 8 \\ 21 & 20 \\ 21 & 10 \\ 5 & 20 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 38 & 7 \\ 30 & 8 \\ 20 & 21 \\ 10 & 21 \\ 20 & 5 \end{array} \right]\)
• D) \([ 625 ]\) Answer: C
• -A bakery sells four main items: rolls, bread, cake, and pie. The amount of each of five ingredients (in cups, except for eggs) required to make a dozen rolls, a loaf of bread, a cake, or a pie is given by matrix A. The cost (in cents) per unit of ingredient when purchased in large lots or small lots is given in matrix B.
• Use m Cost
• Large Lot Small Lot
• \(\left[ \begin{array} { l } \text { Eggs } \\ \text { Flour } \\ \text { Sugar } \\ \text { Shortening } \\ \text { Milk } \end{array} \right] \left[ \begin{array} { l l } 4 & 5 \\ 7 & 10 \\ 12 & 12 \\ 15 & 16 \\ 4 & 6 \end{array} \right] = B\) atrix multiplication to find a matrix giving the comparative cost per item for the two purchase options. Give each Cost to the nearest cent.
• A) These matrices cannot be multiplied.
• B) \({ \left[ \begin{array} { l l } 41.75 & 53 \\ 28.75 & 40 \\ 82 & 101 \\ 24 & 31.33 \end{array} \right] }\)
• C) \(\left[ \begin{array} { l l } 43.75 & 53 \\ 0 & 0 \\ 83 & 101 \\ 0 & 0 \end{array} \right]\)
• D) \({ \left[ \begin{array} { l l } 40.75 & 53 \\ 28.75 & 39 \\ 83 & 101 \\ 24 & 30.33 \end{array} \right] }\)

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Definitions:

Birth Order

The rank of siblings by age, which is theorized to influence personality and behavior.

Personality

The combination of factors that make up a person's singular character.

First-Born Children

Refers to children who are the oldest siblings within their family.

Middle Children

Individuals born between the first and last born in a family, often discussed in the context of birth order and its psychological effects on personality.