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Morgarella [4.7K]
3 years ago
7

Lionel is planning a one-day outing

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0
The answer is C. If we want to go on x rides, we need to pay 40+5x dollars at Thrill Park, and 60+3x dollars at Splash Park. The average money needed for each ride is (40+5x)/x at Thrill Park, (60+3x)/x at Splash Park. Therefore, the system of equations is y=(40+5x)/x, and y=(60+3x)/x.
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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 <em>operating at a 6 sigma level, </em>the probability is:

\\ 1 - p = 1 - 0.999999998027 = 0.000000001973

Similarly, for finding <em>no defects</em> 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 <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

\\ {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 <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

8 0
3 years ago
Write 2.4 x 10 to the power of -3 in standard form
fomenos

Answer:

Step-by-step explanation:

2.4 \times10^{-3}=\frac{24}{10} \times \frac{1}{10^3} =\frac{24}{10^4} =\frac{24}{10000} =0.0024

6 0
3 years ago
I need help solving |5+2j|=9 please
V125BC [204]

5 + 2j = 9 \\ j = 2
5 + 2j =  - 9 \\ j =  - 7
3 0
3 years ago
Kyle went to the store to buy a shirt and noticed that the shirt is 20% off the original price of 25 dollars how much did Kyle p
posledela
100%-20%=80%

25×80%=20. As a result, Kyle pays $20 for the shirt. Hope it help!
8 0
3 years ago
Read 2 more answers
What graph is the graph of y ≥ 1 - 3x?
siniylev [52]
<h2>Greetings!</h2>

First of all option C and D are ruled out because no area is shaded. Because the values of Y are all ≥ 1 - 3x the area shaded should be above the line and the line should not be dotted, it should be a full line. Although there seems to be no option for both a full line and above the line is shaded.


<h2>Hope this helps!</h2>
4 0
3 years ago
Read 2 more answers
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