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Liono4ka [1.6K]
3 years ago
9

Solve for c . ab - c = 9

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
Hi

ab - c =9
Solve for c
-c = 9 - ab
Divide both sides by -1
-c/-1 = 9-ab/-1
c = -9 + ab

Good luck !

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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
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ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

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2. The function is differentiable on (1, 7).

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This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

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c = \frac{6}{ ln(7) }

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A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

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Step-by-step explanation:

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