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3 years ago

line in the Cartesian plane passes through the points (1, 3) and (5, 4). What is the slope of the line?

1 answer:

8 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 1 &,& 3~) 
% (c,d)
&&(~ 5 &,& 4~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-3}{5-1}\implies \cfrac{1}{4}$

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Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style the

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The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.

Romanticism Gothic Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

Romanticism Gothic Total

Males 48 63 111

Females 59 62 121

Total 107 125 232

Part B: The preferred style is Gothic by a percentage of

P = $\frac{125}{232}$

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

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