Answer:
The endpoints of the latus rectum are
and
.
Step-by-step explanation:
A parabola with vertex at point
and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that
,
and
, then the latus rectum is between the following endpoints:
By (2):


By (1):



There are two solutions:




Hence, the endpoints of the latus rectum are
and
.
Answer: See explanation
Step-by-step explanation:
Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.
The number of shearings that Jordan can prepare will be:
= 96 / 12
= 8
From the above calculation, there won't be any carrots left since we do not have a remainder.
Answer:
The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
Step-by-step explanation:
Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.
In a random sample of 300 boards the number of defective boards was 12.
Compute the sample proportion of defective boards as follows:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

The critical value of <em>z</em> for 95% confidence level is,

*Use a <em>z</em>-table.
Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).
ALL LINES CAN BE REPRESENTED IN THE FORM
.
We know that:

and

Observe that:

So:

But we know that
, so:




Since:



So the line is:

Answer:
212 bp^3 (base pairs cubed) - 121 bp^3 (base pairs cubed) + 222 bp^3 (base pairs cubed) = 313 bp^3 (base pairs cubed)
Step-by-step explanation: