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3 years ago

Decrease 5 1/4 m by 50cm answer in metres

Mathematics

2 answers:

ANTONII [103]3 years ago

7 0

To decrease 5 1/4 m (5.25 m) by 50 cm, you first convert 50 cm to m.

To convert cm to m, you divide cm by 100:

$\frac{cm}{100}=m$

So you can do:

$\frac{50cm}{100}=0.5m$

Now that you know 50 cm is 0.5 m, you can subtract 5.25 m by 0.5 m:

5.25 m - 0.5 m = 4.75 m or $4\frac{3}{4}$ m

polet [3.4K]3 years ago

6 0

5 1/4 m = 5.25m

50 cm = 0.5 m

So 5 1/4 m - 50 cm = 5.25 - 0.5 = 4.75 m

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The confidence interval is $25.16 < \mu < 26.85$

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$= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }$

$\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }$

$\sigma = 1.625$

The confidence level is given as 90% hence the level of significance is calculated as

$\alpha = 100 -90$

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$Z_{\frac{\alpha }{2} } = 1.645$

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$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645 * \frac{1.625 }{\sqrt{10} }$

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The 90%, two sided confidence interval is mathematically evaluated as

$\= x - MOE < \mu < \= x + MOE$

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