The quality control manager at a computer manufacturing company believes that the mean life of a computer is 109 months, with a variance of 64. If he is correct, what is the probability that the mean of a sample of 57 computers would be less than 106.32 months? Round your answer to four decimal places.

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

85.3-64 = 21.3

so laura has already added 85.3 grams of chocolate powder and she has gone over the amount specified in the recipe by 21.3 grams

hope i ! have a great  day!