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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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Mahmoud is working out the height, h metres, of a tower
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Answer:

24.72 m

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Horizontal distance AB can be obtained from △ABC

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Sin18° = AB / 80

AB = 0.3090169 * 80

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3 years ago
The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 gra
lara [203]

Answer:

Step-by-step explanation:

Given that:

The mean μ = 310

The standard deviation σ =  40

Using the empirical rule to determine the following :

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At 95% data values lies within 2 standard deviations of mean.

Thus, the  required range is :

= μ ± 2σ

= ( 310 - 2 (40) ,  310 + 2(40) )  

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b. What percentage of organs weighs between 270 grams and 350 grams

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μ ± σ = (310 - 40,  310 + 40)

μ ± σ = (270, 350)

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= 100 % - 68 %

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Using the empirical rule:

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