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3 years ago

Solve for b: b² = 8b + 84

1 answer:

4 0

B² = 8b + 84
b² - 8b - 84 = 0
b = -(-8) +/- √((8)² - 4(1)(-84))
 2(1)
b = 8 +/- √(64 + 336)
 2
b = 8 +/- √(400)
 2
b = 8 +/- 20
 2
b = 4 + 10
b = 4 + 10 b = 4 - 10
b = 14 b = -6

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3 years ago

Find the second derivative y=1/5x^2+1/11x

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$\frac{dy}{dx}=\frac{1}{5}.x^{2-1}.2 + \frac{1}{11}.x^{1-1}.1$

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2 years ago

Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a

Vikki [24]

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$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

And the confidence interval would be:

$0.730 \leq \p \leq 0.890$

Step-by-step explanation:

Information given:

$n=131$ represent the sample size

$\hat p=0.81$ represent the estimated proportion

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 98% confidence interval the value of $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.326$

And replacing into the confidence interval formula we got:

$0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730$

$0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890$

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$0.730 \leq \p \leq 0.890$

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3 years ago

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kompoz [17]

Answer:

Alex and 5 pages

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You do 1/2x60=30 because you can find out how many pages he can read per hour. Which is 30 pages per hour. So Alex can read 30 pages per hour and Sammie can only read 25 pages per hour. To find how many pages he reads faster per hour, you have to take 30 and subtract it by 25 to get 5 extra pages. So Alex reads 5 pages faster per hour. In the end, Alex reads faster than Sammie by 5 more pages per hour.

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