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Vinvika [58]
2 years ago
10

Which of the following are one-dimensional and have infinite length?

Mathematics
2 answers:
Alona [7]2 years ago
4 0
Out of the choices, the entities with only one dimension and have infinite length are the line and ray. The line extends to both sides while the ray is restricted by an endpoint on one side but can extend infinitely to the other side. The answers are therefore letter D and F. 
deff fn [24]2 years ago
3 0

Answer:

The correct answers are : D. Ray and F. Line

Step-by-step explanation:

First we check the definition of all the given terms :

Angle : An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint called vertex of the angle. The maximum value of an angle formed at any point can be 360°. So, cannot be infinite.

Segment : It is part of a line whose starting and end points are fixed and cannot be further extended. So, a line segment cannot be infinite.

Plane : A plane is a two-dimensional surface that can be extended as much as infinity. So, length of plane is infinite but it is not one-dimensional.

Ray : It is part of a line whose only one point is fixed and can be extended from the other point to an infinite length. Hence, Ray has infinite length.

Point : It can be defined as a location which does not has length, width and height. So. a point cannot have an infinite length.

Line : A line is a simply a one-dimensional figure that has no bends and can be extended inn both the directions up to infinity.Hence, the line ha s an infinite length.

Therefore, the correct answers are : D. Ray and F. Line

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2 years ago
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A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

Z_{1-\alpha /2}= Z_{0.95}= 1.645

[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0
2 years ago
Kelly hiked in the woods it took her 1/14 hour to walk 1/4 mile after she snacked she walked another 1/6 mile in 1/16 hour
mariarad [96]

General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

R= \frac{D}{T}

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4}  \div \frac{1}{14}  =  \frac{1}{4}  \times \frac{14}{1}  = \frac{14}{4}  = \frac{7}{2}  =  3 \frac{1}{2} \;   miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6}  \div \frac{1}{16}  =  \frac{1}{6}  \times \frac{16}{1}  = \frac{16}{6}  = \frac{8}{3}  =  2 \frac{2}{3} \;   miles \; per \; hour\\\\

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile.  It took 1/112 hour longer.

\frac{1}{14}  - \frac{1}{16}  = \frac{1 \cdot 8}{14 \cdot 8}  - \frac{1 \cdot 7}{16 \cdot 7}  =  \frac{8}{112} - \frac{7}{112}  = \frac{1}{112}

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

3 0
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Answer:

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Answer:

D) -1

Step-by-step explanation:

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Only -1 is greater than -2 in the list.

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