(algebra ii) which expression represents the perimeter of the rectangle above?

Answer

The expression represented the perimeter of a rectangle be 12x -8 units .

Reason

Formula

Perimeter of  rectangle = 2× (length + breadth)

As shown in the diagram

Length = (3x-1) units

Breadth = (3x-3) units

Put this in the formula

Perimeter of rectangle = 2 × (3x - 1 + 3x - 3)

                                     = 2× (6x - 4)

                                     = 12x -8 units

Hence Proved

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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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