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Marrrta [24]
1 year ago
14

Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ? ​

Mathematics
2 answers:
svet-max [94.6K]1 year ago
7 0

Step-by-step explanation:

log 6 = log (2×3) = log 2 + log 3 = 0.3010+0.4771

=0.7781

bearhunter [10]1 year ago
5 0

Answer:

\sf \log_{10}6=0.7781

Step-by-step explanation:

<u>Given</u>:

\sf \log_{10} 2 = 0.3010

\sf \log_{10} 3 = 0.4771

To find log₁₀ 6, first rewrite 6 as 3 · 2:

\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)

\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay

\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2

Substituting the given values for log₁₀ 3 and log₁₀ 2:

\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}

Therefore:

\sf \log_{10}6=0.7781

Learn more about logarithm laws here:

brainly.com/question/27953288

brainly.com/question/27963321

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Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

Given percentage of rejuvenated mitochondria defective is 1%, and sample size is 18.

Binomial distribution is the probability of exactly x successes on n repeated trials and X can have two outcomes.

P(X=x)=C_{n,x} p^{x}(1-p)^{n-x}

percentage of defective rejuvendated mitochondria=1%

p=0.01

Sample size=18

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a) No samples are mutated

This means P(X=0)=C_{18,0}(0.01)^{0} (0.99)^{18}

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b) At most one sample is mutated.

P(X<=1)=P(X=0)+P(X=1)

so,

P(X=0)=C_{18,0} (0.01)^{0}  (0.99)^{18}

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P(X=1)=C_{18,1}(0.01)^{1} (0.99)^{17}=

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P(X<=1)=0.83+0.1512

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P(X>9)=P(X=10)+P(X=11)+P(X=12)+P(X=13)+P(X=14)+P(X=15)+P(X=16)+P(X=17)+P(X=18)

Using two decimals digits precision all will be 0.

Hence Probability that no samples are mutated is 0.83, probability that at most one sample is mutated is 0.9812 and probability that more than half the samples are mutated is 0.

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Solve. Dante's mom made 2 liters of cocoa. Dante and his 7 friends each drank a serving of cocoa. If each serving is 235 millili
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Answer:

120 millimeters or 0.12 liters

Step-by-step explanation:

To solve this question :

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