What is the mode of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6? 7.6 5.4 5.9 2

Mathematics

1 answer:

OlgaM077 [116]2 years ago

6 0

Answer:

The answer is 2.

Step-by-step explanation:

Put the numbers in order, the one that appears most often is the mode.

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

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3 years ago

Hi what is the four time pi?

Minchanka [31]

Answer:

Step-by-step explanation:

4 x pi = 12.57

<h3>Estimate </h3>

Pi is approx. equal to 3.14

4 x 3 = 12

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3 years ago