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Archy [21]
3 years ago
7

Using properties of logarithms in excersises 13-18, use the properties of logarithms o write the logarithm in terms of log3(5) a

nd log3(7) log3 (21/5)
Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

Step-by-step explanation:

Given

log_3(\frac{21}{5})

Required

Express in terms of log_3(5) and log_3(7)

log_3(\frac{21}{5})

Express 21 as 7 * 3

log_3(\frac{21}{5}) = log_3(\frac{7 * 3}{5})

Apply law of logarithm

log_3(\frac{21}{5}) = log_3(7) + log_3(3) - log_3(5)

log_3(3) = 1. So, we have:

log_3(\frac{21}{5}) = log_3(7) + 1 - log_3(5)

Rewrite:

log_3(\frac{21}{5}) = log_3(7) - log_3(5)+ 1

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Answer:

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

Step-by-step explanation:

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

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.

The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.

The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

5 0
3 years ago
Trina is making a friendship necklace at summer camp using 1.6 cm beads. What is a reasonable estimate for the length if she use
diamong [38]
C would be your answer
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3 years ago
Solve:<br> n = 8<br> 4<br> O n = 2<br> 0 n = 12<br> Ô n = 24<br> 0 n = 32
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Answer:

1/4 n = 8

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so option 4 i.e.

n = 32. is the ans

7 0
3 years ago
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Anastaziya [24]

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11 cm

Step-by-step explanation:

16-5 = 11

7 0
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The number 2 in the expression 5 + 2x is called the
steposvetlana [31]

Answer:

Step-by-step explanation:

The coefficient of x is simply a number. The x gives it it's meaning. So if the coefficient of x changed from 2 to 6 that would mean there would 6 x's being added to five, not 2.

For example if x=2.

instead of 5 + 2*2

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The difference between the answers is 4x, as there are an additional 4x's.

Hope this helps :)

4 0
3 years ago
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