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3 years ago

Complete the statements about calculating mean using the data set: 4, 6, 1, 9, 12, 3, 11,2

Mathematics

1 answer:

ryzh [129]3 years ago

8 0

Answer: 6

Order the Numbers

Before: 4, 6, 1, 9, 12, 3, 11, 2

After: 1, 2, 3, 4, 6, 9, 11, 12

Add

1+2+3+4+6+9+11+12=48

Sum: 48

Divide

48÷8=6

Mean: 6

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The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

Substitute the found slope and the given point (6, -5) into the slope-intercept formula and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

Substitute the found slope and the found value of b into the slope-intercept formula to create the equation for the perpendicular line:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

brainly.com/question/27317293

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2 years ago

Math help me))))))))please

olasank [31]

X^2/(x- 9 = 81/(x - 9)
This is the equation for which you want the solution.
Multiplying both sides of the equation by (x - 9) we get
x^2(x - 9)/(x - 9) = 81(x - 9)/(x - 9)
So the (x - 9) goes out from both the denominator and the numerator and then the simplified equation becomes
x^2 = 81
x ^2 = (9)^2
x = 9
So the value of the unknown variable x comes out to be 9.

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3 years ago

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andrey2020 [161]

Answer:

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See attached with both graphs included

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