(30/ If the surface of a lake represents a plane, what geometric

Mathematics

1 answer:

beks73 [17]2 years ago

3 0

Answer:

A point

Explanation:

The surface of a lake represents a plane because it extends in all directions at the same level. Imagine it as a quite surface, without imperfections, smooth and perfectly plane, it is a two-dimensional figure.

A fishing line that enters into the water, crossing the lake's surface, representes a line, which may be either perpendicular or leaned.

Thus the intersection of those two figures is a point.

A surface and a line that is not included in the plane and is not parallel to it will meet at a single point, which is what is represented by the situation stated.

You might be interested in

My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1600, \sigma = 70$