Find the standard z-score that corresponds to the following: Eighty percent of the distribution is below (to the left of) this value. Solution Find the standard z-score such that 80% of the distribution is below the z-score: Using a standard normal table we find that for z=.84 79.95% is to the left and for z=.85 80.23% lies to the left. Without interpolation z=.84 is a good approximation. Using a graphing utility we get [z~~.8416].

1. Find the unique simultaneous solution to this system of equations using the chinese remainder
theorem x= 5(mod 17) x = 4(mod 23) x = 53(mod 70)
Solution
Question Details
Find the unique simultaneous solution to this system of equations
using the chinese remainder theorem
ALL SYMBOL;S USED ARE INTEGERS
x= 5(mod 17)
X=5+17P.....................................1
x = 4(mod 23)
5+17P=4[MOD 23]
17P=-1[MOD 23]
0=69[MOD 23]
ADDING
17P=68[MOD 23]
P=4[MOD 23]
P=4+23Q.................................2
PUTTING IN 1
X=5+17[4+23Q]
X=73+391Q....................................3
x = 53(mod 70)
73+391Q=53[MOD 70]
391Q=-20[MOD 70]
0=7840[MOD 70]
ADDING
391Q=7820[MOD 70]
Q=20[MOD 70]
Q=20+70R....................................4
PUTTING IN 3
X = 73+391[20+70R]=7893+27370R.............IS THE ABSWER
X=7893,62633,.......ETC.....