What is the range of the data set 22 30 49 71 85 88 92 97 99

Mathematics

1 answer:

Genrish500 [490]2 years ago

5 0

The range is 77. you calculate range by subtracting the smallest number from the biggest number.

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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

How to simplify 3sin^2x + 3(1-sin^2x)

EleoNora [17]

$\bf \textit{Pythagorean Identities}\\\\sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\[-0.35em]\rule{34em}{0.25pt}\\\\3sin^2(x)+3[1-sin^2(x)]\implies 3sin^2(x)+3cos^2(x)\\\\\\\stackrel{\textit{common factor}}{3[sin^2(x)+cos^2(x)]}\implies 3(1)\implies 3$