You reject the Null Hypothesis only if the p-value is less than alpha.
p < 0.01
To find the p-value, you need to look up test value 2.07 in a standard normal table. The p-value is probability that Z > 2.07. For a two-tailed test, you include both positive and negative cases. |Z| > 2.07.
When you look up 2.07 you get about 0.98.
This means there is about 2% chance Z > 2.07 or 4% chance |Z| > 2.07.
For the two-tailed test we use p = 0.04
.04 > .01
Therefore we do Not reject the Null Hypothesis.
Answer:
C. 0
Step-by-step explanation:
The points of intercection between the graph of a quadratic function of the form
are given by the discriminant of the quadratic formula.
Remember that the quadratic formula is:

The discriminant of he quadratic formula is just the thing inside the radical, in other words:

- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.
- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.
- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.
We can infer form our quadratic that
,
, and
, so let's replace the values in the discriminant:





Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.
<h3>
Answer: 45 degrees</h3>
The purple arc is 315 degrees. The remaining bit (angle b) must add to 315 to get 360 degrees, which is a full rotation.
315+b = 360
b = 360-315
b = 45
Distance
|a+bi| is the length of the vector from origin to (a,b).