Consider the following dot plots.

Mathematics

1 answer:

motikmotik3 years ago

8 0

The correct answer is:

A) The medians are both between 10 and 14 emails.

Explanation:

The mode is the easiest measure to find of a data set.
The mode of a data set is the data value that appears the most often. In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.

In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.

They do not have the same modes.

The median of a data set is the middle value. There are 10 dots in each dot plot; this means the medians will each be between two data points.

For plot A, we can see that the middle value is between 10 and 15.
For plot B, we can see that the middle value is between 10 and 15.

This means that choice A is correct, the medians of both are between 10 and 14.

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HELP!!!!!!!!!!!!!!!!!!!!! Do all real numbers have a decimal expansion? Select each correct answer. Some numbers, such as 1 10

ankoles [38]

Answer:

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

Step-by-step explanation:

According to the options, we have,

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

It is correct as the decimal expansion of $\frac{1}{10}$ is 0.1, which terminates.

2. All real numbers have a decimal expansion.

This is also correct as both rational and irrational numbers can be written in decimal form.

3. Some numbers, such as $\sqrt{13}$ do not have a decimal expansion

This is not correct as $\sqrt{13}=3.605551275$ i.e. it has a decimal expansion.

4. Only some real numbers have a decimal expansion.

It is not correct as 2 is correct.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

It is correct as $\frac{1}{18}=0.0555555..$ , which is non-terminating decimal expansion.

So, the correct options are,

1. Some numbers, such as $\frac{1}{10}$ , have a decimal expansion that terminates.

2. All real numbers have a decimal expansion.

5. Some numbers, such as $\frac{1}{18}$ , have a decimal expansion that repeats but does not terminate.

6 0

3 years ago

A tree 10 meters high casts a 17.3 meter shadow.

sashaice [31]

Answer:

the angle of elevation of the sun is $\approx 30^o$

Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle $\theta$ , and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because: