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Feliz [49]
4 years ago
13

Tim wrote 16 as (-2) squared 4. Is he correct?

Mathematics
1 answer:
stepladder [879]4 years ago
3 0

Answer:

Yes, Tim was correct.

Step-by-step explanation:

It is given that Tim wrote 16 as (-2) squared 4. It means

16=(-2)^4

We need to check whether he is correct option not.

LHS=16

RHS=(-2)^4

RHS=(-2)\times (-2)\times (-2)\times (-2)

RHS=4\times 4

RHS=16

RHS=LHS

Since LHS is equal to the RHS, therefore the Tim was correct.

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Smokers: Out of 780 smokers, 376 have been divorced.
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For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
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<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

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Hence

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Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

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