Maths question involving geometry and factorising.

The answer to your question is:

Step-by-step explanation:

Data

V = 924 cm³

dimensions = 4cm, (x + 1) cm, (x + 11) cm

Factorize    x² + 12x - 220 = 0

Find the prime factors of 220

                                         220    2

                                          110     2

                                            55   5

                                            11    11

                                              1

Find two numbers that added give +12, these numbers are + 22 and -10

                          x² + 12x - 220  =  ( x + 22) ( x - 10)

                        x 1 = -22     x2 = 10

The result -22 could not be a solution because lenght is not negative. Then x = 10

                      = 4 ( 10 +1) ( 10 + 11)

                      =  4 ( 11 ) ( 21)

                      = 924 cm³

sorry man i accidentally pressed yes my bad

step-by-step explanation:

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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