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Hunter-Best [27]
3 years ago
14

Linear Equations - Practice Word Problems

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

#1 - 11

#2 - 5

Step-by-step explanation:

#1 - This is really simple, as long as you don't think of it as numbers. The numbers 5 and 3 are being added to a number to make 19, so all you have to do is 19 - 5 - 3 or 19 - 8, which equals 11. So the certain number is 11.

#2 - The equation for this problem is (3 x ?) - 5 = 10. This equation is formed because you are subtracting 5 from 3 times a number, and to do all of this first, you need to figure out what 3 times a number equals (so it goes into the parentheses). From there, all you need to do is give a value that would substitute the question mark (normally you use a variable like <em>n, x, y, etc.</em>). This value would be 5, because 3 x 5 = 15 and 15 - 5 = 10.

:DDDDDDDDD

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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

7 0
3 years ago
10 points!!! Please help!!!!!!!
babunello [35]
First find slope
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find y-intercept
10=5(0)+B
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equation: y=5x-10
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Answer:

0.1

Step-by-step explanation:

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