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3 years ago

Is the following a Proportion 15/40 = 5/8

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

No, because 5/8=15/24 and 15/24≠15/40

LuckyWell [14K]3 years ago

4 0

15/40 = 5/8
cross multiply
(15)(8) = (40)(5)
120 = 200...incorrect...so it is not a true proportion

little tip : proportions are nothing but equivalent fractions...15/40 is not equivalent to 5/8.....now if it would have been 15/40 = 3/8 , since these are equivalent fractions, this would have been a true proportion

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2 years ago

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Nostrana [21]

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2 years ago

A news service conducted a survey of 1026 adults ages 18 years or older in a certain country, August 31minus−September 2, 2015

Musya8 [376]

Answer:

B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

Step-by-step explanation:

Given that:

sample size = 1026

sample proportion = 0.36

Margin of error = 55% = 0.55

Confidence interval level = 99%

The purpose of this question is to determine the research objective:

The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.

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2 years ago

3d - 4, where d = 5 .

Crank

The correct answer would be-11

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2 years ago

Read 2 more answers

A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent

Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}$

$95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r$

4 0

1 year ago