An oblique square prism is shown. which expression represents the volume of the prism?

C.

Step-by-step explanation:

We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.

Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.

The volume of an oblique prism is base area multiplied by the height.

We can see from our diagram that our prism has an square base as each side of base equals x units.

We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.  

Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,

Therefore, the volume of our given prism is and option C is the correct choice.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!