Answer:
Step-by-step explanation:
The directrix of the parabola is the horizontal line with the eqaution 
The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is 
The distance between the directrix and the focus is 
so 
and the vertex is at point 
Parabola goes in positive y-direction, hence its equation is
where 
is the vertex, so the equation of this parabola is
Answer:
The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.
Step-by-step explanation:
a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.
b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.
c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.
d: This statement is inverse of statement c which cannot be true.
e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.
Answer: 
Step-by-step explanation:
The standard form of a circle is written as such:
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this: 
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
So, your standard form equation is the following:
