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3 years ago

The expression (a^2 + b^2)^2 is equivalent to

Mathematics

1 answer:

Alexxandr [17]3 years ago

6 0

Answer:

Step-by-step explanation:

(x + y)² = x² + 2xy + y²

(a² + b²)² = (a²)² + 2*a²*b² + (b²)² {x = a² ; y = b²}

= a⁴ +2a²b² + b⁴

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A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

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:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

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

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

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3 years ago

Four pounds of apples cost 3.88. what is the price per pound

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Answer:

0.97 cents

Step-by-step explanation:

4/3.88=0.97

price per pound=0.97 cents

BRAINLIEST APPRECIATED!

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Ostrovityanka [42]

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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