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Masja [62]
3 years ago
6

Solving Logarithmic Equations

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

Step-by-step explanation:

3ln(4) = 2ln(x)

ln(4³) = ln(x²)

4³ = x²

(2²)³ = x²

2⁶ = x²

x = ±√2⁶ = ±2³ = ±8

However, the argument of a logarithm must be positive, so x=8.

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The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06.(a) Would a 95% confidence interval for μ include the
emmasim [6.3K]

Answer:

a) Yes b) No

Step-by-step explanation:

Given that the p value for a two-sided test of the null hypothesis H0: μ = 10

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a) p value = 0.06.\\Confidence level = 95%\\Significance level = 100-95 = 5%\\Alpha = 0.05\\\\p  \geq \alpha is true

Hence we accept null hypothesis

This implies that 10 will be within the confidence interval of 95%

b) If confidence level = 90%

\alpha = 0.10\\p value = 0.06\\p \leq 0.10

So we have to reject null hypothesis.

So we do not have 10 in the confidence interval

The reason is the lower the confidence level, the narrower the confidence interval.  In this case, 10 has gone outside the narrower interval hence we get this.

7 0
3 years ago
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myrzilka [38]

Answer:

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Step-by-step explanation:

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3 years ago
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6 0
3 years ago
Which expression is equal to 6a2−30aa−2⋅a2+2a−82a3−10a2 ?
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8 0
3 years ago
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Answer: 0

Explanation:

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8 0
3 years ago
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