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2 years ago

Practice Question:

Mathematics

1 answer:

mafiozo [28]2 years ago

6 0

The correct option of the function is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

<h3>What is a function?</h3>

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)= 3x^2 + 4x - 6

g(x)= 6x^3 - 5x^2 - 2

So,

(f + g)(x) = (3x^2 + 4x - 6) + (6x^3 - 5x^2 -2)

(f + g)(x) = 3x^2 + 4x - 6 + 6x^3 - 5x^2 - 2

Now, like terms and in order of exponent

(f + g)(x) = 6x^3 - 2x^2 + 4x - 8

Therefore, the correct option is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

Learn more about function addition ;

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Answer:

The calculated value Z= -0.5822

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The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

Step-by-step explanation:

Explanation:-

Step:-(i)

The Population proportion is P = 95% =0.95

A sample of 40 containers from the process line are tested, and 93% are found to be good

Sample size ( n) =40

The sample proportion 'p' = 0.93

Level of significance (α )= 0.01.

Null hypothesis:-p = 95%=0.95

Alternative hypothesis:- p≠0.95

The test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$ (i)

Step:(ii)

substitute all values in (i)

$Z = \frac{0.93-0.95}{\sqrt{\frac{0.95X0.05}{40} } }$

Z = -0.5822

The calculated value Z= -0.5822

|z| = |-0.5822|< 2.576 at 0.01 level of significance

Hence null hypothesis is accepted

Conclusion:-

The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product

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Answer:

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Why we did this:

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