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katrin2010 [14]
3 years ago
5

Logarithms (Please do what the question is asking)

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:  1) 2.059

               2) 3.220

<u>Step-by-step explanation:</u>

1) log₆ 40

= log₆(5 x 8)

= log₆5 + log₆8

= 0.898 + 1.161

= 2.059

2) log₆ 320

= log₆ (40 x 8)

= log₆40 + log₆8

= 2.059 + 1.161

= 3.220

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A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

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The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

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We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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3 years ago
10. Explain why log328 is between 3 and 4.
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Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

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I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

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......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

8 0
3 years ago
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