Find the value of z such that 0.76980.7698 of the area lies between −z−z and z. round your answer to two decimal places.

P(-z<Z<z)=0.7698

P(0<Z<z)=0.7698/2=0.3849

P(Z<0)=0.5

P(Z<z)=P(Z<0)+P(0<Z<z)=0.5+0.3849=0.8849

Using the z-table, the z-score that corresponds to probability of 0.8849 is z=1.80

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)