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Gennadij [26K]
3 years ago
7

Solve the equation log 6x - 3 = -4

Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0
log6x-3=-4;\ D:6x > 0\to x > 0\to x\in\mathbb{R^+}\\\\log6x=-4+3\\\\log6x=-1\iff10^{-1}=6x\\\\6x=\frac{1}{10}\ \ \ /:6\\\\x=\frac{1}{60}\in D
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Can someone please help me
vladimir2022 [97]

Answer:

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4 0
3 years ago
A plant grows 3 cm in 10 days. How much does it grow per day. Write your answer as a fraction in simplest form.
Rina8888 [55]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Bridgette had a whole pie. She ate 1/4 of the pie for a snack and ate another 25% of the pie for dessert. What fraction of the p
Kisachek [45]

Answer:

1/2

Step-by-step explanation:

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25% is converted to 1/4.

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8 0
3 years ago
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a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
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Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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3 years ago
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5c = 1
cd = 3
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8 0
3 years ago
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