Yes it’s correct. You just need to plug each of the x and y values to see if they satisfy the equation.
Answer:
The equation of the parabola is (x-2)^2 = 48(y-5)
Step-by-step explanation:
Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.
Firstly, we need to find the distance between the director and the vertex
That would be ;
|-7-(5)| = 12
We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12
Thus, the equation needed would be;
(x-h)^2 = 4p(y-k)
From the question, h = 2
p = 12 ( calculated) and k = 5
So the equation would be;
(x-2)^2 = 4(12)(y-5)
= (x-2)^2 = 48(y-5)
Answer:
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 18.5 - 0.1 = 18.4 gallons per day.
The upper end of the interval is the sample mean added to M. So it is 18.5 + 0.1 = 18.6 gallons per day.
The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.
346 divided by 7 is: 49.4285714286
Or, if you want to round the answer is just 49
Hope I helped!
- Amber
Answer:
4x+9, 1st degree binomial
Step-by-step explanation:
It's already in standard form
