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)
(x - 4)(x + 2)
x^2 + 2x - 4x - 8
x^2 - 2x - 8
Let y = x^2 - 2x - 8
It is a parabola.
Take it from here.
The Empirical Rule affirm:
99.7 % random variable values are between
±
three standard deviation.
95 % random variable values are between
±
two standard deviation.
68 % random variable values are between
±
one standard deviation. There you go!
Start with
Multiply both sides by 5:
3.5 times as much flour as chocolate chips....
f = 3.5c
f = 1 3/4 (or 1.75)
1.75 = 3.5c
1.75 / 3.5 = c
0.5 = c......chocolate chips needed would be 1/2 a cup
