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3 years ago

Express 72% as a decimal and as a fraction in simplest form

Mathematics

2 answers:

Greeley [361]3 years ago

8 0

Decimal: 0.72
Fraction: 18/25

olasank [31]3 years ago

3 0

There is your answer

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When converting between two measurement units, how can you tell which operation to use

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3 years ago

A researcher wishes to estimate, with 9090% confidence, the proportion of adults who have high-speed Internet access. Her es

Sunny_sXe [5.5K]

Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

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3 years ago

If a cube with the length of the side of 4 cm is cut into smaller cubes with the length of the side of 1 cm, then what is the pe

ValentinkaMS [17]

Answer:

300 %

Step-by-step explanation:

Length of the larger cube =4 cm

So volume $V=side^3=4^3=64cm^3$

Length of the smaller cube = 1 cm

Volume of the smaller cube $V=side^3=1^3=1cm^3$

So total number of smaller cube $=\frac{64}{1}=64$

Surface area of the larger cube $A=6\times side^2=6\times 4^2=144cm^2$

Surface area of the 64 smaller cube $A=64\times 6\times side^2=64\times 6\times 1^2=384cm^2$

So percentage increase in surface area $=\frac{384-96}{96}\times 100=300$ %

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3 years ago

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Answer:

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