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Vesnalui [34]
3 years ago
7

What is log(4k-5)=log(2k-1)?

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
Log(4k - 5) = log(2k - 1)
log(4k) - log(5) = log(2k) - log(1)
0.6020599913k - 0.6989700043 = 0.3010299957k - 0
0.6020599913k - 0.6989700043 = 0.3010299957k
<u>-0.6020599913k                            -0.6020599913k</u>
                           <u>-0.6989700043</u> = <u>-0.3010299957k</u>
                           -0.3010299957     -0.3010299957
                              2.321928094 = k
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Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

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Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

Ratio = \frac{Minutes}{Mile}

When minutes = 16; mile = 4

So, we have:

Ratio = \frac{16}{4}

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Next, we multiply the ratio by 7.5

Minutes = Ratio * 7.5

Minutes =4 * 7.5

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<em>Hence, option B answers the question.</em>

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Step-by-step explanation:

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Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

  • At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
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Let <em>X</em> denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters <em>n</em> = 53 and <em>p</em> = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

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Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

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