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Mandarinka [93]
2 years ago
8

Find dy/dx (the derivative ) of f(x) = 4x

Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

Derivative are used to determine the nature of a function. The derivative of the function f(x) = 4x^2 is 8x

<h3>Derivative of a function</h3>

The formula for finding the derivative of a function is expressed as:

f'(x) = nax^n-1

Given the function expressed as:

f(x) = 4x^2

We are to find its derivative as shown:

f'(x) = 2(4)x^2-1
f'(x) = 8x^1 = 8x

Hence the derivative of the function f(x) = 4x^2 is 8x

Learn more on derivative here: brainly.com/question/416343

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The distribution of SAT II Math scores is approximately normal with mean 660 and standard deviation 90. The probability that 100
gayaneshka [121]

Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of 660, hence \mu = 660.
  • The standard deviation is of 90, hence \sigma = 90.
  • A sample of 100 is taken, hence n = 100, s = \frac{90}{\sqrt{100}} = 9.

The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{670 - 660}{9}

Z = 1.11

Z = 1.11 has a p-value of 0.8665.

1 - 0.8665 = 0.1335.

0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213

7 0
2 years ago
Last week Alice spent $18.25 to bowl 5 games. This week she spent $21.90 to bowl 6 games. Alice owns her bowling balls and shoes
kykrilka [37]

Answer:

Answer

5.0/5

23

Let's find the unit rate stemming from $18 for 4 games:

$18

-------------  =  $4.50/game

4 games

Let's do the same for $27 for 6 games:

$27

------- = $4.50/game (same as before)

 6 g

Thus, the const. of prop. is $4.50/game, and the cost function is

C(x) = ($4.50/game)x, where x is the # of games played.

4 0
3 years ago
A total of 1680 ounces of pet food have to be packed in 5 pound bags. How many 5 pound bags of pet food can be packed ?
mamaluj [8]
To begin with, we have to multiply 16 by 5, to determine how many ounces are in the bags. we get 80, no? we then divide 1680 by 80 to receive 21. your answer is 21.
5 0
3 years ago
Patrick works a 40-hour week at $10.70 an hour with time and a half for overtime. Last week he worked 45 hours. What were his to
MA_775_DIABLO [31]
D. $
481.15 there you go
3 0
3 years ago
What is the value of expression?
Andrei [34K]
Use:a^n\cdot a^m=a^{n+m}\\\\5^{-8}\cdot5^{-4}=5^{-8+(-4)}=5^{-12}\\\\Answer:\boxed{D}
5 0
3 years ago
Read 2 more answers
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