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statuscvo [17]
3 years ago
10

Delia has 3 5/8 yards of ribbon. About how many 1/4 yard-long pieces can she cut?

Mathematics
1 answer:
grin007 [14]3 years ago
3 0

Answer: There are 14 long pieces she can cut.

Step-by-step explanation:

Since we have given that

Length of yards of ribbon is given by

3\frac{5}{8}\ yards\\\\=\frac{29}{8}\ yards

Length of yards of ribbon pieces need to be cut is given by

\frac{1}{4}\ yards

Number of yards is given by

\frac{\frac{29}{8}}{\frac{1}{8}}\\\\=\frac{29}{2}\\\\=14.5\\\\=14

Hence, there are 14 long pieces she can cut.

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Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri
ahrayia [7]

Answer:

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given  Population proportion 'p' = 0.40</em>

<em>Given Margin of error = 0.03</em>

<em>90% of level of significance </em>

<em>                                         </em>Z_{\frac{\alpha }{2} } = 1.645<em></em>

<em>The Margin of error is determined by</em>

<em></em>M.E = \frac{Z_{\frac{\alpha }{2} S.D} }{\sqrt{n} }<em></em>

0.03 = \frac{1.645 X \sqrt{0.40(1-0.40) } }{\sqrt{n} }

on calculation , we get

0.03√n = 0.8058

\sqrt{n} = \frac{0.8058}{0.03} = 26.86

squaring on both sides , we get

n = 721.45≅721

<u><em>conclusion</em></u>:-

<em>The sample size 'n' = 721</em>

<em>Number of cars 'n' = 721</em>

 

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