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3 years ago

F(x) = |3x+5| + 6 g(x) =7 find (f+g) (x)

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

(f + g)(x) = |3x + 5| + 13

Step-by-step explanation:

Given

f(x) = |3x + 5| + 6

g(x) = 7

Required

Find (f + g)(x)

In functions

(f + g)(x) = f(x) + g(x)

Meaning that, we simply add the given functions together

So, we have that:

(f + g)(x) = |3x + 5| + 6 + 7

(f + g)(x) = |3x + 5| + 13

Hence, (f + g)(x) when calculated equals |3x + 5| + 13

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Substitute the given parameters into the formula to have:

$CI=0.67\pm 1.96\sqrt{\frac{0.67(1-0.67)}{400} }\\CI=0.67\pm 1.96\sqrt{\frac{0.67(0.33)}{400} }\\CI=0.67\pm 1.96(0.0235)\\CI=0.67 \pm 0.0461\\CI=(0.67-0.0461, 0.67+0.0461)\\CI=(0.624, 0.7161)\\CI = (62.4 \%, 71.61 \%)$

Hence a 95% confidence interval for the proportion of non-fatal accidents involving a distracted driver using some kind of electronic device is 62.5%<x<71.61%

Learn more on confidence interval here: brainly.com/question/17212516

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