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snow_lady [41]
2 years ago
15

Evaluate log^8x-4log^8x​

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
3 0

\log^8 x  -4 \log^8 x\\\\=-3 \log^8 x

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If we know one of the succeeded, then 
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If under the circumstance that they all fail to meet a strong leader, the board picks one of them at random,
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The first person has a 2 in 5 chance of randomly getting a strong leader. If the first person doesn't find a strong leader, the second person has a 2/4 chance of getting a strong leader. If neither the first nor second person gets a strong leader, the third sales person has a 2/3 chance of getting a strong leader.

1: 2/5=40% Chance
2: (3/5)*(2/4)=30% Chance You have to take the probability the first rep failed to get a strong leader, then multiply by the probability the second rep gets a strong leader.
3: (3/5)*(2/4)*(2/3)=20% You have to take the probability both the other people failed, then multiply by the probability they succeeded.
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The dataset Restaurant Tips contains data recorded from 157 restaurant bills at a bistro in New York over a two week period and
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Answer: ($3.532, $4.166)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.90=0.10

Critical value : z_{\alpha/2}=1.645

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Sample mean : \overline{x}=\$\ 3.849

Standard deviation : \sigma= \$\ 2.421

The confidence interval for population mean is given by :_

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

\text{i.e. }\$\ 3.849\pm (1.64)\dfrac{2.421}{\sqrt{157}}\\\\\approx\$\ 3.849\pm0.317\\\\=(\$\ 3.849-0.317,\$\ 3.849+0.317)=(\$\ 3.532,\$\ 4.166)

Hence, the 0% confidence interval for the average tip given at this restaurant = ($3.532, $4.166)

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