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Igoryamba
3 years ago
13

Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3 3, negative 1 over 2, −1.

4, 1 over 5 3, 1 over 5, −1.4, negative 1 over 2 −1.4, negative 1 over 2, 1 over 5, 3
Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer:

Option 4

Step-by-step explanation:

Mars2501 [29]3 years ago
7 0

Answer:

Option 4 - -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Step-by-step explanation:

To find : Which set of rational numbers is arranged from least to greatest?

Solution :

The set of rational numbers are

3,\ \frac{1}{5},\ -1.4,\ -\frac{1}{2}

Writing all number in one form,

\frac{1}{5}=0.2

-\frac{1}{2}=-0.5

Now, -1.4<-0.5<0.2<3

From least to greatest the set of natural numbers are

-1.4

So, -1.4,\ -\frac{1}{2},\ \frac{1}{5},\ 3

Therefore, option 4 is correct.

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jarptica [38.1K]

Answer:

Step-by-step explanation:

Given the expression \frac{720,800}{x} = 7.208, we are to find the value of with powers of 10.

From the equation:

\frac{720,800}{x} = 7.208

cross multiply

720,800 = 7.208x\\7.208x = 720,800

divide both sides by 7.208

\frac{7.208x}{7.208} = \frac{720,800}{7.208} \\x = 100,000

express x in powers of 10

x = 10 * 10 * 10 * 10* 10\\x = 10^5

Similarly given the equation \frac{720,800}{y} = 72.08

From the equation:

\frac{720,800}{x} = 72.08

cross multiply

720,800 = 72.08x\\72.08x = 720,800

divide both sides by 7.208

\frac{72.08x}{72.08} = \frac{720,800}{72.08} \\x = 10,000

express x in powers of 10

x = 10 * 10 * 10 * 10\\x = 10^4

For the equation \frac{720,800}{z} = 720.8

From the equation:

\frac{720,800}{z} = 720.8

cross multiply

720,800 = 720.8z\\720.8z = 720,800

divide both sides by 7.208

\frac{72.08z}{720.8} = \frac{720,800}{720.8} \\z = 1,000

express x in powers of 10

z = 10 * 10 * 10\\z = 10^3

8 0
3 years ago
The surface area of this rectangular prism is_____square centimeters.​
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Carlos will spend at most $29 on gifts. So far, he has spent $15. What are the possible additional amounts he will spend?
MariettaO [177]

Answer:

the possible amounts that he will spend is $29-$15=$14

4 0
3 years ago
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netineya [11]

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4 0
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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

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3 years ago
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