Which are the solutions of x2 = –11x + 4? startfraction negative 11 minus startroot 137 endroot over 2 endfraction comma startfraction negative 11 + startroot 137 endroot over 2 endfraction startfraction negative 11 minus startroot 125 endroot over 2 endfraction comma startfraction negative 11 + startroot 125 endroot over 2 endfraction startfraction 11 minus startroot 137 endroot over 2 endfraction comma startfraction 11 + startroot 137 endroot over 2 endfraction startfraction 11 minus startroot 125 endroot over 2 endfraction comma startfraction 11 + startroot 125 endroot over 2 endfraction

the answer is 24

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

70

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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