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BigorU [14]
3 years ago
13

Find the GCF of 74 and 24. A 2 B 4 C 8 D 3

Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

A. 2

GCF is the biggest number that can go into both numbers evenly

Law Incorporation [45]3 years ago
6 0

The greatest common factor, or GCF, is the greatest factor that divides two numbers.

The first step to find the GCF of 74 and 24 is to list the factors of each number. The factors of 74 are 1, 2, 37 and 74. The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. So, the Greatest Common Factor for these numbers is 2 because it divides all them without a remainder.

as the only number which is common in both is 2 ... it is the greatest common factor of 74 and 24 . if there's more than 2 common no.s the greatest of all the common no.s is the GCF

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Answer:

The equation of the regression line is: y~=~88.518 ~-~ 3.068 \cdot x

Step-by-step explanation:

Linear regression is a linear approach to modelling the relationship between a dependent variable and one or more independent variables.

Let X be the independent variable and Y be the dependent variable. We will define a linear relationship between these two variables as follows:

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\begin{array}{c|cccccccccc}No. \:of \:absences,\:x&0&1&2&3&4&5&6&7&8&9\\Final \:grade, y&88.5&85.7&82.8&80.3&77.4&73.1&63.6&68.1&65.2&62.4\end{array}

To find the line of best fit for the points, follow these steps:

Step 1: Find X\cdot Y and X\cdot X as it was done in the table.

Step 2: Find the sum of every column:

\sum{X} = 45 ~,~ \sum{Y} = 747.1 ~,~ \sum{X \cdot Y} = 3108.8 ~,~ \sum{X^2} = 285

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 747.1 \cdot 285 - 45 \cdot 3108.8}{ 10 \cdot 285 - 45^2} \approx 88.518 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 10 \cdot 3108.8 - 45 \cdot 747.1 }{ 10 \cdot 285 - \left( 45 \right)^2} \approx -3.068\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~88.518 ~-~ 3.068 \cdot x\end{aligned}

The graph of the regression line is:

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