Show work. Trig for high school in grade 12

[{"insert":"The distance between the points (a, b) and (-a, b) is\n\n(a) 2 √a² +b²\n\n(b) √2a\n\n(c) 2a\n\n(d) 2|a|\n"}]

answer: the value of x is 7cm

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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step-by-step explanation: