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NeX [460]
3 years ago
6

In a certain class of​ students, there are 11 boys from​ Wilmette, 7 girls from​ Wilmette, 5 boys from​ Winnetka, 4 girls from​

Winnetka, 4 boys from​ Glencoe, and 4 girls from Glencoe. If the teacher calls upon a student to answer a​ question, what is the probability that the student will be a​ boy? Round to three decimal places as needed.
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

.571

Step-by-step explanation:

We need to find the total number of boys

11+5+4 = 20

And the total number of students

11+7+5+4+4+4 = 35

The Probability that the student is a boy is boy/total

P (boy) = boy/total

           = 20/35

           =4/7

            =.571428571

  to 3 decimal places

           =.571

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I hope this answers your question !

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MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

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Answer:

The point-slope equation of the line is y - 2 = 3(x + 9)

Step-by-step explanation:

The form of the point-slope equation is y - y1 = m(x - x1), where

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  • (x1, y1) is a point on the line

∵ The slope of a line is 3

∴ m = 3

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∵ x1 = -9

∴ y1 = 2

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∴ y - 2 = 3(x - (-9))

→ Remember (-)(-) = (+)

∴ y - 2 = 3(x + 9)

∴ The point-slope equation of the line is y - 2 = 3(x + 9)

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