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nasty-shy [4]
2 years ago
9

Find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
8 0

Answer:

3x^6+30x^4+75x^2-4

Step-by-step explanation:

took the test

alexgriva [62]2 years ago
4 0

Answer:

<u>3(x^3 + 5x)^2 - 4 </u>   (please mark brainliest)

Step-by-step explanation:

plug g equation into x values of f equation

f equation = 3(x)^2 - 4

                        ^g goes here

So....

3(x^3 + 5x)^2 - 4

       ^ g goes here

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Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
Find an order pair (x,y) that is a solution to the equation <br> X-4y=4
QveST [7]

Answer:

(0,-1)

You can guess and check to see what gives you the answer

7 0
3 years ago
Rotate shape A 90° clockwise with centre of rotation (0,0).
Andreyy89

Answer:

(2,4)====(-4,2)

(4,3)===(-3,4)

(2,3)====(-3,2)

5 0
2 years ago
A bottle contains 12 red marbles and 8 blue marbles. A marble is chosen at random and not
masya89 [10]
The same answer 81/95 can be found using two different methods. Please view the attachments below.

4 0
3 years ago
A piece of brass contains 1.66 grams of copper and 0.34 gram of
drek231 [11]

Answer:

2.00 grams

Step-by-step explanation:

1.66 + 0.34 = 2.00

2.00 grams

3 0
2 years ago
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