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notsponge [240]
3 years ago
11

7+3x-12x=3x+1 is it Infinitely many solutions, one solution, or no solutions with steps please

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

  • One solution

Step-by-step explanation:

  • 7 + 3x - 12x = 3x + 1
  • 7 - 9x = 3x + 1
  • 3x + 9x = 7 - 1
  • 12x = 6
  • x = 6/12
  • x = 1/2

It has one solution

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In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n
Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, \bar{x} = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314  

14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)  

is the required confidence interval for the true mean length of rods.

3 0
3 years ago
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Elimination
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1x + 2y + 3z = 9   ⇒ <u>1x + 2y + 3z = 9</u>
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1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9                    x - 4z = 1
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<u />
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