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Tresset [83]
3 years ago
15

What is that is the derivative of

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

\frac{d}{dx}( ax^{n} ) = nax^{n-1} , thus

\frac{d}{dx}(x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate \frac{d}{dx} to zero

2x - 1 = 0 , then

2x = 1 and

x = \frac{1}{2}

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Identify the expression which represents the calculation “subtract 3 from 15, then divided by 6
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Answer:

\frac{15-3}{6}

Step-by-step explanation:

You would start by writing the expression for “subtract 3 from 15", which would be \frac{15-3}{6}, then you would add on "then divided by 6", which would make it

4 0
3 years ago
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A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

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 - 0.98}{2} = 0.01

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 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error M as such

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

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M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

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

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

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Rounding up

49 measurements are needed.

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Simplify the ratio 11/33 and then give 2 more equivalent ratios
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The simplest ratio is 1/3. Equivalent ratios would be 3/9 and 5/15.
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Martin has a business washing cars. Last year he washed 20 cars a week. This year, he wants to increase his business to 1,200 ca
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Great Question!

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Answer:

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Step-by-step explanation:

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