Answer:
Step-by-step explanation:
This is horizontal parabola.
It has a directrix at x=-6.
The vertex is (0,0).
The focus is (6,0)
The equation of this parabola is of the form
Where (p,0) is the focus
By comparison, p=6
Therefore the equation of the parabola is
This implies that
Answer:
<h2>Step-by-step explanation:
Expand the terms in the bracket and simplify
That's
Using the subtraction property subtract 10x from both sides of the equation
<u>Add 6 to both sides of the equation</u>
<u>Divide both sides by 8</u>
<u>Reduce the fraction with 2</u>
We have the final answer as
Hope this helps you
Answer:
n=1849
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming that the proportion is estimated . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1849
The most appropriate choice for square root will be given by-
lies between 3 and 4
What is square root of a number?
Number raised to the power is the square root of the number.
Here
3.464 lies between 3 and 4
lies between 3 and 4
To learn more about square root of a number, refer to the link:
#SPJ9
Answer:
b = 12 ft
Step-by-step explanation:
Given Data:
Height = h = 5 ft
Area = A = 60
To Find Out:
base = b =?
Formula:
A= b×h
b = A÷h
Solution:
b = A÷h
b = 60÷5
b = 12 ft