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Semenov [28]
3 years ago
14

Michael has a rope that is 13 meters long. He cuts away a piece that is 9.88 meters long. How long is the remaining piece of rop

e?
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

<em>3.12 m</em>

Step-by-step explanation:

13 - 9.88 = 3.12

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8 0
3 years ago
An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his electi
Anuta_ua [19.1K]

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

7 0
3 years ago
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