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3 years ago

Peter takes 7 minutes and 30 seconds to run 1 mile. How many miles can he run in 15 minutes?

Mathematics

2 answers:

goblinko [34]3 years ago

5 0

2 miles in 15 mins.. i think.

SCORPION-xisa [38]3 years ago

4 0

If you add 7 minutes to 7 minutes it equals 14, and 30 sec plus 30 seconds is 1 minute. That makes it the full 15 minutes which would equal 2 miles ran in total by Peter.

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HELP PLEASE 10 POINTS

Arada [10]

Answer:

$\frac{4 {}^{21} }{5 {}^{6} }$

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2 years ago

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The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly

Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between $\\ (\mu - 6\sigma)$ and $\\ (\mu + 6\sigma)$ . It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

$\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027$

For those with defects operating at a 6 sigma level, the probability is:

$\\ 1 - p = 1 - 0.999999998027 = 0.000000001973$

Similarly, for finding no defects in a 5 sigma level, we have:

$\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697$ .

The probability of defects is:

$\\ 1 - p = 1 - 0.999999426697 = 0.000000573303$

Well, the defects present in a six sigma level and a five sigma level are, respectively:

$\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}$

$\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}$

Then, comparing both fractions, we can confirm that a 6 sigma level is markedly different when it comes to the number of defects present:

$\\ {6\sigma} \approx \frac{2}{10^9}$ [1]

$\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9}$ [2]

Comparing [1] and [2], a six sigma process has 2 defects per billion opportunities, whereas a five sigma process has 600 defects per billion opportunities.

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2 years ago

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tino4ka555 [31]

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2 years ago

How do you do this? Please help, I’ve been staring at this for like 10 min :)

damaskus [11]

Answer & Step-by-step explanation:

The formula is given in the middle. You are supposed to insert the value of x into this formula to find the value of y (like in the first given example):

$x=-2\\y=2(-2)+5\\y=-4+5\\y=1$

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$x=-1\\y=2(-1)+5\\y=-2+5\\y=3$

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$x=0\\y=2(0)+5\\y=0+5\\y=5$

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$x=1\\y=2(1)+5\\y=2+5\\y=7$

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$x=2\\y=2(2)+5\\y=4+5\\y=9$

:Done

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