What is the probability of the following
1. P (0< z < 1.46)?​

Approximately .

Step-by-step explanation:

(This approach requires looking up values on a -table. Calculators aren't required.)

A typical -table lists probabilities in the form (or equivalently, ,) where is real number (typically greater than or equal to .)

However, the question asks for a probability in the form . It would be necessary to rewrite this probability for this -table approach to work.

Let and denote two real numbers, with . would be equal to . In this question:

.

Look up the value of on a -table: .

On the other hand, because the Gaussian distribution is symmetric.

Therefore:

.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11