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Elza [17]
3 years ago
13

Can you solve this and please show work so I can understand it thank you:)

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Hello.

There are 2 basic steps to this particular problem:

1). Plug g(x) into f(x).

2). Simplify.

Step by step:

1).

f(x)= 2 |x+3| -1

g(x)= -4x² -9

So:

f(g(x))= 2 | (g(x)) +3 | -1 ***

f(g(x))= 2 | (-4x² -9)+3 | -1

f (g(x))= 2 | -4x² -9+3 | -1

f (g(x))= 2 | -4x² -6 | -1

*** This is to illustrate how plugging functions into functions works, and is not proper notation.

Hope this helped!

*************************

Disclaimer:

Always double check your answer with a reliable source, as mistakes can be made.

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Answer:

0.1546\leq \widehat{p}\leq 0.3513

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\widehat{p}=0.253

Confidence level = 95%

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Formula of confidence interval of one sample proportion:

=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}

=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}

Confidence interval =0.1546\leq \widehat{p}\leq 0.3513

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