2 years ago

A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

6 0

Answer:

what exactly are you looking for?

Step-by-step explanation:

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The mean number of words per minute (WPM) typed by a speed typist is 149149 with a standard deviation of 1414 WPM. What is the p

Semmy [17]

Answer:

The probability is $P(\= X > x ) = 0.78814$

Step-by-step explanation:

From the question we are given that

The population mean is $\mu = 149$

The standard deviation is $\sigma = 14$

The random number $x = 147.81$

The sample size is $n = 88$

The probability that the sample mean would be greater than $P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )$

Generally the z- score of this normal distribution is mathematically represented as

$Z = \frac{ \= x - \mu }{\sigma_{\= x} }$

Now

$\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{14 }{\sqrt{88} }$

$\sigma_{\= x } = 1.492$

Which implies that

$P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )$

$P(\= X > x ) = P( Z > -0.80 )$

Now from the z-table the probability is found to be

$P(\= X > x ) = 0.78814$

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