Answer:
20%
Step-by-step explanation:
We are asked to find the proportion of of scores in a normal distribution between the mean (z = 0.00) and z = +0.52.
We will use normal distribution table to find area under normal distribution curve corresponding to given score as:
Using normal distribution table, we will get:
Therefore, approximately 20% of scores in a normal distribution between the given z-scores.
Answer:
h(-3) = -28
Step-by-step explanation:
h(x) = -2x² + 3x - 1
h(-3) = -2(-3)² + 3(-3) - 1
h(-3) = -2(9) - 9 - 1
h(-3) = -18 - 9 - 1
h(-3) = -28
Answer:
So
Step-by-step explanation:
Since we are dividing by a linear factor, I'm going to use synthetic division.
Since the linear factor that we are dividing by is (x-5), I'm going to put 5 on the outside:
5 | 1 -12 8
| 5 -35
|--------------------------
1 -7 -27
So the quotient x-7 while the remainder is -27.
So
You could do long division if you prefer:
x-7
------------------------
(x-5) | x^2-12x+8
- (x^2-5x)
--------------------------
-7x+8
-(-7x+35)
---------------------
-27
You still get the same thing that the quotient is x-7 and the remainder is -27.
Equation of a parabola: (x - h)²<span> = 4p (y - k), where the </span>focus<span> is (h, k + p) and the </span>directrix<span> is y = k - p
in this case, the directric is x=6, so the parabola opens sideways, the equation becomes </span>(y<span> - </span>k)²<span> = 4p (</span>x<span> - </span>h<span>), where the </span>focus is (h<span> + </span>p<span>, </span>k) and the directrix is x<span> = </span>h<span> - </span>p<span>.
</span>h-p=6
h+p=-2
solve: h=2, p=-4
k=6
plug in the h, p, and k values, so the equation is (y-6)²=-16(x-2)