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2 years ago

If you roll a single six-sided die, what is the probability of rolling an odd number?

Mathematics

2 answers:

Paladinen [302]2 years ago

7 0

$\large\sf {\purple{\underbrace{ \fbox \pink{ \: \: question : - \: }}}}$

If you roll a single six-sided die, what is the probability of rolling an odd number?

$\large\mathbb {\purple{\underbrace{ \fbox \blue{ \: \: answer : - \: }}}}$

sample space = {1,2,3,4,5,6}

total = 6

odd number = {1,3,5}

probability of rolling an odd number = 3/6 = 1/2

xz_007 [3.2K]2 years ago

3 0

What's up? the answer is 1/2

6 sides in which 3 are odd. 1,3,5
3/6 or 1/2 chance of rolling odd

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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.

8 0

2 years ago

Find the slope that passes through (2,-4) and (5,2)

yanalaym [24]

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

Therefore, the slope is 2.

Final answer is 2.

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you! :)

7 0

3 years ago

The number −5 is all of the following except _____.

nirvana33 [79]

Answer:

a real number

Step-by-step explanation: You didn't list the choices- a real number is all positive numbers except 0

7 0

2 years ago

why is there no need to go further than the multiples of 7 when checking if a number less than 100 is prime

andrezito [222]

Step-by-step explanation:

because 7 is the highest prime number that when squared is less than 100, 11 yhe next prime number when squared is 121. As such all non-prime numbers less than 100 will be a would have prime factors of either 2, 3, 5 & 7

5 0

3 years ago

Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.

aliya0001 [1]

Answer:

Answer b)

Step-by-step explanation:

In the sequence 0, 5, 10, 15,...

5 is added to each term in order to get the next one. Therefore the next three terms would be; 20, 25, 30.

This agrees with answer b) in the list of possible answers.

3 0

2 years ago