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lana66690 [7]
3 years ago
15

Paul spelled 6 out of 16 words correctly on his spelling test. What fraction of the words did he misspell?

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
5 0

Answer:

5/8 are spelled incorrectly

Step-by-step explanation:

There are 16 words

He spelled 6 correctly

That means he spelled 16-6 = 10 incorrectly

The fraction spelled incorrectly is wrong/total

10/16

Simplify by dividing the top and bottom by 2

5/8

bearhunter [10]3 years ago
3 0

Answer:

\frac{5}{8} is the fraction of the words did he misspell.

Step-by-step explanation:

Number of word spelled correct = 6

Number of total word in spelling test  = 16

Number of word spelled incorrect or misspelled = 16 - 6 = 10

Fraction of the words Paul misspell :

\frac{10}{16}=\frac{5}{8}

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Which of the following is the correct equation for the distance formula for the points (x1, y1) and (x2,y2)?
svp [43]

Answer:

  A. D=sqrt( (x2-x1)^2+(y2-y1)^2 )

Step-by-step explanation:

The distance between two points is the root of the sum of the squares of the differences in their corresponding coordinates. The equation of choice A is the usual formulation.

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Because the square of a number is the same as the square of its opposite, the formula in choice D is also correct.

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3 years ago
NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400
Ne4ueva [31]

Answer:

The test statistics is  t  =  -1.727

Step-by-step explanation:

From the question we are told that

The data given is  

   330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

 The population mean is  \mu  =  14400

    The  sample  size is  n =  16

  The  null hypothesis is  \mu \le  14400

    The  alternative hypothesis is  H_a  :  \mu > 14400

The sample mean is mathematically evaluated as

  \= x  =  \frac{\sum x_i}{n}

So

   \= x  =  \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}

=>  \= x = 10799.9

The  standard deviation is mathematically represented as

      \sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}

So

\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}}  \ ..

   ..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2  }{16}} \ ...

  \ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}

=>  \sigma  =  8340

  Generally the test statistic is mathematically represented as

  t =  \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }

t  =  -1.727

From the z-table  the p-value is  

     p-value  = P(Z > t) =  P(Z >  -1.727) =  0.95792

 From the values obtained we see that

        p-value  >  \alpha  so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

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