First we find the vertex of parabola

The vertex of parabola is

Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,

And,

Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.

So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
-----> the cosine is the adjacent side to angle A divided by the hypotenuse
substitute the values and solve for x


Answer:
A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.
Step-by-step explanation:
A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.
Im sorry i don’t know this but you should try photomath, it might help!
Using the 2nd row it traveled 120 miles in 3 hours
so 120/3 = 40 miles per hour
so distance (d) = 40h