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Wewaii [24]
4 years ago
6

You roll a standard number cube. find p(number is not 3)

Mathematics
2 answers:
monitta4 years ago
6 0
P(x≠3)=5/6
you can get six numbers form a cube.but you don't need 3, so you need 5 numbers. that's it.
snow_tiger [21]4 years ago
4 0
I suppose you mean P is the probability of getting a number that is not 3.
Standard number cubes usually contain numbers 1 through 6. The question wants us to take out the number 3 from the possible numbers and find the probability that the number is not 3.
We start off with 6 numbers (1,2,3,4,5,6). Since we take out the number 3, that leaves us with 5 numbers. The cube has not changed its contained numbers so we know the maximum amount of numbers we can end up with is 6.
Therefore, the probability of rolling a number that is not 3 is 5/6.
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A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the m
zheka24 [161]

Answer:

a. n= 47

b. n= 128

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= t_{n-1: 1-\alpha/2} * (\frac{S}{\sqrt{n} })

I've  cleared the sample size of the formula

n= (S*\frac{t_{n-1; 1-\alpha /2} }{d} )^{2}

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.

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t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.025}  = t_{4;0.975} =2.776

n= (19.62*\frac{2.776 }{8} )^{2}

n= 46.35 ≅ 47

b)

99% CI

d= 5 pounds

t_{n-1; 1-\alpha/2 } = t_{5-1;1-0.005}  = t_{4;0.995} =4.604

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n= 127.49 ≅ 128

I hope it helps!

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4 years ago
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finlep [7]
I believe it would be negative 5.7
8 0
3 years ago
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