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sashaice [31]
3 years ago
15

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions

, and identify each equation as an identity, a contradiction, or neither.
A) 6X plus 4X -6 = 24+ 9X

B) 25 - 4X = 15 - 3X +10 - X

C) 4X +8 = 2X +7+ 2X -20

Mathematics
1 answer:
Natali [406]3 years ago
4 0
I hope this helps you

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Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line (or alternatively, a quantity that can be represented as an infinite decimal expansion).

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freda makes 25,000 per year as a medical assistant. after working 6 months she receives a 6% pay raise. what is her new yearly s
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$26,000 because 25,000 × 0.06 = 1,500.

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Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o
Irina-Kira [14]

Answer:

a

 P(X <  12)  = 0.3660

b

  P(X <  12) = 0.1521

Step-by-step explanation:

Considering question a

From the question we are told that

   The mean is  \mu = 12.01 \ oz

    The standard deviation is  \sigma = 0.35 \  oz

 The standard error of mean is mathematically represented as

      \sigma_{x} =  \frac{\sigma}{\sqrt{n} }

=>   \sigma_{x} =  \frac{0.35}{\sqrt{144} }              

=>   \sigma_{x} =  0.02917

Generally the  probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

           P(X <  12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.01 }{0.02917 }  )

\frac{X -\mu}{\sigma_{x} }  =  Z (The  \ standardized \  value\  of  \ X )

      P(X <  12) = P(Z < -0.3425  )

From the z table  the area under the normal curve to the left corresponding to   -0.3425  is

      P(X <  12) = P(Z < -0.3425  ) = 0.3660

=>  P(X <  12)  = 0.3660

Considering question a

From the question we are told that

   The mean is  \mu = 12.03 \ oz

Generally the  probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as

           P(X <  12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.03 }{0.02917 }  )

          P(X <  12) = P(Z < -1.0274  )

From the z table  the area under the normal curve to the left corresponding to   -1.0274   is

      P(X <  12) = P(Z < -1.0274  ) =0.1521

=>   P(X <  12) = 0.1521

3 0
3 years ago
Jean-pierre consumes only apples and bananas. he prefers more apples to less, but he gets tired of bananas. if he consumes fewer
Art [367]
Bundle (31 , 40) has 40 bananas.
So 40 - 28 = 12 bananas
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So we have to need 12 apple to balance it.
So the final utility of apples and banana is 28 + (31 - 12) = 28 + 19 = 43
In second bundle (X , 23) has 23 bananas. We need to get the same utility 43.
Which we will get from 43 - 23 = 20 apples.
So X equal to 23.
3 0
4 years ago
Eric plans to type a hand-written paper before he goes to sleep. It will take him 10 minutes to gather his work and set up the c
FinnZ [79.3K]
You see, if it's typed, it's not hand-written. But if he types 24 wpm, it should take him about 20 minutes to do it.
7 0
3 years ago
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