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3 years ago

12

Using the first derivative test, find all relative extrema for f(x) g

1 answer:

frutty [35]3 years ago

4 0

Jdxjvbjfjck kdjndkb kehckbksjckiv jcjuw

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.

zzz [600]

Answer:

$CI=(66.54,78.46)$

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , $\bar{X}=72.5\%$ , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

$\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}$

From the t-table with 9 degree of freedom for $\frac{\alpha}{2}=0.005$

$t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}$

$t_{n-1,\frac{\alpha}{2}}=3.250$

The 99% confidence interval is given by,

$CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}$

$CI=72.5 \pm 5.96$

$CI=(72.5+5.96),(72.5-5.96)$

$CI=(66.54,78.46)$

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2 years ago

I am trying to solve for x

padilas [110]

Here how i found my answer.

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2 years ago

If f(x) = 4x - 3, evaluate f(2).

hjlf

Answer: f(2) = 5

Explanation: If f(x) - 4x - 3, then f(2) = 4(2) - 3 which simplifies to 5.

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2 years ago

What is the slope of the line? *<br><br> 3<br> 2<br> 6<br> 5<br> other: _______

timurjin [86]

Slope = (y2 - y1)/(x2 - x1)

Slope = (6 -0)/(3 - 0)

Slope = 6/3 = 2

Answer

2

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