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adell [148]
3 years ago
8

Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not.

Mathematics
1 answer:
Vikki [24]3 years ago
5 0
No, they are not equivalent because if you distribute the -0.5 in the expression -0.5(3x+5) you will get -1.5x-2.5 which is not the same as -1.5+2.5
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Answer:

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Step-by-step explanation:

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What type of triangle has only two congruent sides?
grandymaker [24]

Answer: A triangle that only has two congruent sides is called an isosceles triangle. Two equal sides and two equal angles.

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-4x + 6 = 3x - 36<br><br> How do I solve this
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Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

-4x + 6 = 3x - 36

Step 2: Solve for <em>x</em>

  1. Add 4x to both sides: 6 = 7x - 36
  2. Add 36 to both sides: 42 = 7x
  3. Divide both sides by 7: x = 6

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

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Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
iren [92.7K]

Answer:

We accept  H₀

Step-by-step explanation:

Normal Distribution

size sample   n  = 69

sample mean  18.94

standard deviation  8.3

Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.

1.-Test hypothesis                              H₀         ⇒   μ₀  =  20

   Alternative hypothesis                  Hₐ         ⇒    μ₀  < 20

2.- Critical value

for α = 0.1  we find from z Table

z(c) = - 1.28

3.-We compute z(s)

z(s) = [ (  μ  -  μ₀ ) / (σ/√n)                ⇒    z(s) = [( 18.94  -  20  )*√69)/8.3]

z(s) = ( -1.06)*8.31/8.3                    

z(s) =  - 1.061

4.- We compare

z(c)   and z(s)           -1.28 > -1.061

Then z(c)    >  z(s)

z(s) in inside acceptance region  so we accept H₀

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