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BlackZzzverrR [31]
3 years ago
5

Factoring

Mathematics
2 answers:
spin [16.1K]3 years ago
6 0

25x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -81

Write the number in the exponential form with an exponent of 2

5^2 x^2 -9^2

Multiply the terms with equal exponents by multiplying their bases

(5x)^2 -9^2

Using a^2-b^2=(a-b)(a+b), factor the expression

(5x-9)× (5x+9)

Answer: (5x-9)×(5x+9)

PLEASE GIVE ME BRAINLIEST ANSWER

miss Akunina [59]3 years ago
3 0

Answer:

( 5x-9) (5x+9)

Step-by-step explanation:

25 x^2 - 81

Rewriting

(5x)^2 -9^2

This is the difference of squares

a^2 -b^2 = ( a-b)(a+b)

(5x)^2 -9^2 = ( 5x-9) (5x+9)

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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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