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Alekssandra [29.7K]
3 years ago
15

A tree forms a right angle with the ground. If you place the base of a 12-foot ladder 3ft from the tree, how high up the tree wi

ll it reach?
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer: 12.37ft

<h2 />

Step-by-step explanation:

The formula to find the missing side of a triangle is a^2 + b^2 = c^2

so all you have to do is put 3 and 12

3^2 + 12^2 = c^2

9 + 144 = c^2

153 = c^2

√153 = 12.37

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Step-by-step explanation:

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k + 31 = 48

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k = 48 - 31

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Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

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)
  • 53% increased risk of divorce for smokers.

<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

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

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.

Read more about Confidence interval

brainly.com/question/17097944

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50???

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