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romanna [79]
2 years ago
15

Harry rolls 2 fair dice. Probability of both dice showing a factor of 12

Mathematics
1 answer:
enyata [817]2 years ago
5 0

Answer:

P = 4/9

Step-by-step explanation:

Event A1: The first dice shows a factor of 12. P(A1) = 4/6 = 2/3

Event A2: The second dice shows a factor of 12. P(A2) = 4/6 = 2/3

P (A1*A2)=4/9

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For this, we need to find the lowest common multiple of 12 and 15....

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What is 40653230000000 in standard form
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4065323 × 10 to the senventh power?
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A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
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Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}

Here,

\bar x_{d} = sample mean of the difference,

s_{d} = sample standard deviation of the difference,

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t_{\alpha/2, (n-1)} = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

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The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}

               =t_{0.025, 4}

               =2.776

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

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2 years ago
Ariana starts with 100 milligrams of a radioactive substance. The amount of the substance decreases by 20% each week for a numbe
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Answer:

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Step-by-step explanation:

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The factor (1 -0.2) represents the fraction remaining at the end of a week. That number raised to the power w will represent the fraction remaining at the end of w weeks. This fraction can reasonably be referred to as "the decay factor after w weeks."

Hence, the expression represents ...

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