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3 years ago

What is the solution set of the quadratic inequality?

Mathematics

1 answer:

liberstina [14]3 years ago

4 0

Answer:

$\large\boxed{\{x\ |\ -\sqrt5\leq x\leq\sqrt5\}}$

Step-by-step explanation:

$x^2-5\leq0\qquad\text{add 5 to both sides}\\\\x^2\leq5\iff x\leq\sqrt5\ \wedge\ x\geq-\sqrt5\Rightarrow-\sqrt5\leq x\leq\sqrt5$

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3 years ago

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3 years ago

"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o

liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

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So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

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$M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54$

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

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4 years ago

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3 years ago

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Tanzania [10]

Step-by-step explanation:

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3 years ago