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makkiz [27]
3 years ago
5

When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. th

erefore the probability is 1/11 that the sum is 12?
Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0
False.

There are 36 possible outcomes, corresponding to numbers 1-6 independently appearing on each of the dice. Only one of those outcomes is double-sixes, resulting in a sum of 12. The probability that the sum is 12 is 1/36.

In short, the 11 outcomes listed in your problem statement are not equally-likely.
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Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and the sample size.
pentagon [3]

Answer:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the following conditions

Where \mu=25 and \sigma=7

And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean \bar X. We can assume that the distribution for \bar X is approximately normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Asuming that the distribution for X is also approximately normal. So then the parameters are:

\bar X= \mu = 25

\sigma_{\bar X}= \frac{7}{\sqrt{15}}= 1.807

8 0
3 years ago
Find the 11th term of the geometric sequence of 6,-18,54...
Phoenix [80]

In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:

y=6(-3)^(^x^-^1^)

Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:

y=6(-3)^(^1^1^-^1^) (plug in)

y=6(-3)^(^1^0^) (simplify by subtracting 1 from 11 to get 10)

y=6(59049) (simplify by calculating 3 to the power of 10 to get 59049)

y=354294 (solve by multiplying 6 by 59040 to get 354294

Therefore, our 11th term in the sequence is 354394.

7 0
3 years ago
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oee [108]

The answer is 3/2


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M = y2-y1/ x2-x1

M=9-0 /6-0

M=9 divide 3 / 6 divide by 3

M= 3/2 cm/s

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3 years ago
I’ll give brainliest
SVEN [57.7K]

Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2


-2x - (-3x + 2) = -3

-2x + 3x - 2 = -3

x = -1


y = -3*-1 + 2 = 5

5 0
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Fofino [41]
The difference is +3.
You move from -6 to -5 to -4 to -3.
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