Ask question

Ask question

All categories

4 years ago

5

Find f '(a). f(x) = 4x2 − 4x + 3

1 answer:

Vinvika [58]4 years ago

3 0

Use the power rule
d(x^n)/dx = n·x^(n-1)
to form the derivative.
f'(x) = 4·2x -4
f'(x) = 8x - 4

Now, substitute "a" for "x" to find f'(a):
f'(a) = 8a - 4

You might be interested in

Lori has 25 new stamps but she already has 15 old ones how many does she have in total

KonstantinChe [14]

She would have a total of 40 stamps.

7 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

How many students were surveyed?<br>

blondinia [14]

Answer:

20

Step-by-step explanation:

count the dots

7 0

2 years ago

Read 2 more answers

Which decimal is between 85 and V86?

Romashka-Z-Leto [24]

$\sf \large \underbrace{ \underline{Understanding \: the \: Question}}$

This can be considered as a very easy Question where you have to find the value of √85 and √86 upto 2 decimal places then we could find it easily.

Let's start!

Value of √85=9.21

Value of √86=9.27

Now it is obvious that 9.25 lies between √85 and √86.

$\sf \large \underbrace{ \underline{Additional \: information}}$

What are rational no.?

Any pair of numbers which is in the form of p/q where p and q are integers and p and q are co-prime is called rational number.

4 0

3 years ago

Read 2 more answers

HELP!!! SOLVE USING SUBSTITUTION OR ELIMINATION.

Bezzdna [24]

Search it up on the internet <3

8 0

3 years ago