Given the sets a={0,1,2,3,} b={a,b,c,d} c={0,a,2,b}. Find B u c

In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.

POINT (an undefined term) 
In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). 

LINE (an undefined term) 
In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. 

PLANE (an undefined term) 
In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). 

Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. 

Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. 

Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle.

5 0

3 years ago

Which property is being illustrated in

Iteru [2.4K]

Associative is being illustrated

6 0

3 years ago

Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-

joja [24]

Answer:

a) 9.18% f the New York City commutes are for less than 29 minutes.

b) 26.39% are between 29 and 36 minutes.

c) 67.55% are between 29 and 44 minutes

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 38.7, \sigma = 7.3$

a.

What percent of the New York City commutes are for less than 29 minutes?

This is the pvalue of Z when X = 29.

So

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 9.18% f the New York City commutes are for less than 29 minutes.

b.

What percent are between 29 and 36 minutes?

This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.

X = 36

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

$Z = \frac{36 - 38.7}{7.3}$

$Z = -0.37$

$Z = -0.37$ has a pvalue of 0.3557.

X = 29

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.

c.

What percent are between 29 and 44 minutes?

This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.

X = 44

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

$Z = \frac{44 - 38.7}{7.3}$

$Z = 0.73$

$Z = -0.37$ has a pvalue of 0.7673.

X = 29

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

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes

6 0

2 years ago