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tatuchka [14]
2 years ago
8

What expression represents the volume of the prism, in cubic units? one-halfx3 one-halfx2 x 2x3 2x2 x

Mathematics
1 answer:
otez555 [7]2 years ago
7 0

Volume of prism = \frac{1}{2x^{3} } + x^{2}

Given that:

The oblique prism below has an isosceles right triangle base and the length of the base is x

=> the area of the base: \frac{1}{2} × x × x = \frac{1}{2}

The vertical height of the prism is (x + 2)

=> The volume of the oblique prism is:

                    V = the base area * the vertical height

<=> V = \frac{1}{2} x^{2} (x + 2)

<=> V =  \frac{1}{2x^{3} } + x^{2}

To learn more about volume of the prism from the given link

brainly.com/question/15892907

#SPJ4

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Subtractionproperty of inequality.

Step-by-step explanation:

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The time (in minutes) required to learn the procedure for performing a certain task is uniformly distributed on the interval fro
PtichkaEL [24]

Answer:

a

 P( X >  46)  = 0.7 \  minute

b

\mu  = 42 \ minute

Step-by-step explanation:

From the question we are told that  

   The procedure for performing a certain task is uniformly distributed on the interval from( a =  32 )minutes to (b= 52) minutes

  Generally the cumulative distribution function for continuous uniform distribution is  

             F(x) =  \left \{ {{0 \ \ \ \ \  for  \  x \  x < a} \atop {\frac{x-a}{b-a} } \ \   for \  a \le x \ge b} \atop {1 \ \ \ \ \ \ \  for  \  x  >  b }\right.

Generally the probability that it takes more than 46 minutes to learn the procedure is mathematically represented as

          P( X >  46)  = F(46) = \frac{46 - 32}{52-32}

=>       P( X >  46)  = 0.7 \  minute

Generally the average time required to learn the procedure is mathematically represented as

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=>     \mu  = 42 \ minute

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