Answer:

Step-by-step explanation:
2 = ⅔[6] + b
4

If you want it in <em>Standard Form</em>:
y = ⅔x - 2
- ⅔x - ⅔x
_________
−⅔x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid it.]
−3[−⅔x + y = −2]

_______________________________________________
−5 = 3⁄2[10] + b
15

If you want it in <em>Standard</em><em> </em><em>Form</em>:
y = 3⁄2x - 20
- 3⁄2x - 3⁄2x
__________
−3⁄2x + y = −20 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]
−2[−3⁄2x + y = −20]

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so ⅔ and 3⁄2 remain the way they are.
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3. tan(α) = height/distance
distance = height/tan(α)
distance = (648 m)/tan(13°) ≈ 1399.5 m
6. when y = |x| is translated 6 units down, 6 is subtracted from the y-value:
.. y = |x| -6
10. In point-slope form, the line through point (h, k) with slope m is
.. y -k = m(x -h)
For (h, k) = (10, -9) and m = -2, you have
.. y +9 = -2(x -10)
Answer:
Being male and preferring brand A are independent.
Because: if independent then P(male and brand A) = P(male) P(brand A) = 0.48 * 0.75 = 0.36 and that is true (= value in the table)
P(male|brand A)=0.36/0.75=0.48 = P(male)
So the two answers are:
(1) "independent"
(2) =
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Answer:
Solution for y is y = 11 - 6x
For x = -1, the y value is 17
For x = 0, the y value is 11
For x = 3, the y value is -7
Step-by-step explanation:
Solve for y --> y + 6x = 11
y + 6x = 11
-6x -6x
------------------
y = 11 - 6x
Plug -1, 0, and 3 into this equation to find values of y --> x = 11 - y / 6
When x is -1, the y value becomes 17. Secondly, when x is 0, the y value becomes 11. Thirdly, when x is 3, the y value becomes -7.