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3 years ago

The mapping hat shifts a point horizontally 2 units right would be

Mathematics

1 answer:

Taya2010 [7]3 years ago

4 0

To move a graph, f(x), to the right c units, minus c from every x

so f(x) moved to the right 2 units is f(x-2)

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If 8a + 3b + 2c = 3, what is 64a+24b+16c?

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3 years ago

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A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

Serjik [45]

Answer:

189 components must be sampled.

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 $1 - \alpha$ .

That is z with a pvalue of $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

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

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that $\sigma = 16$

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

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

$3 = 2.575\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 2.575*16$

$\sqrt{n} = \frac{2.575*16}{3}$

$(\sqrt{n})^2 = (\frac{2.575*16}{3})^2$

$n = 188.6$

Rounding up:

189 components must be sampled.

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3 years ago

Let f(x)=x2+3x−4 .

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