A battery company claims that it's AA batteries last an average of 16 hours with a standard deviation of 1.5 hours

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

5 0

Answer:

The claim can be determined by the probability method which will determine the percentage of battery lasting to an average of 16 hours.

Step-by-step explanation:

Probability method in statistics helps to determine the percentage of an event in certain circumstances. In the given scenario the claim is made that battery lasts an average of 16 hours. This claim can be verified by the probability check though standard deviation from the observation.

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Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)

Shtirlitz [24]

Answer:

The endpoints of the latus rectum are $(12, -7)$ and $(-8, -7)$ .

Step-by-step explanation:

A parabola with vertex at point $C(x, y) = (h,k)$ and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

$(x-h)^{2} = 4\cdot p \cdot (y-k)$ (1)

Where:

$y$ - Independent variable.

$x$ - Dependent variable.

$p$ - Distance from vertex to the focus.

$h$ , $k$ - Coordinates of the vertex.

The coordinates of the focus are represented by:

$F(x,y) = (h, k+p)$ (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that $h = 2$ , $k = -2$ and $p = -5$ , then the latus rectum is between the following endpoints: