The value of the cumulative standardized normal distribution at 1.5x is 0.9332. the value of x is

Use the table of standardized normal cumulative function.

Look up the corresponding x' for the value z=0.9332: I found x'=0.8232 (approximately).

We know that x'=1.5x, so x = 0.8232/1.5 = 0.5488

i need a diagram

step-by-step explanation:

no

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