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3 years ago

If f(x) = 3X + 10 and g(x) = 2x – 4, find (f- g)(x).

1 answer:

7 0

So (f-g)(x) is f(x)-g(x) so you have

(3x+10)-(2x-4)

Distribute the negative in to the 2x-4 to get

3x+10-2x+4

Then combing like terms you have

3x-2x+10+4

And then that gives you

x+14

So (f-g)(x)=x+14

Hope this helps!! Mark as brainliest!!!!

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Black_prince [1.1K]

Answer:

The test statistic value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

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Step-by-step explanation:

Step(i):-

Given sample size 'n' = 167

Given data In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma.

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Given Population proportion 'P' = 11% = 0.11

Step(ii) :-

Null Hypothesis : H₀ : p = 11

Alternative Hypothesis H₁: p≠11

Test statistic

$Z = \frac{p^{-} -P }{\sqrt{\frac{P Q}{n} } }$

$Z = \frac{0.2215 -0.11 }{\sqrt{\frac{0.11 X 0.89}{167} } }$

Z = 4.64

step(iii)

Critical value Z = 1.96

The calculated value Z = 4.64 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

Conclusion:-

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Source:trust me bro

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