Answer:
p = 0.52392
Step-by-step explanation:
Here we have
p = 23% = 0.23
= 208/800 = 0.26
n = 800
q = 1-p = 0.77
α = 5% = 0.05
Here we have
Z test given by

From which we have
From the Cpdf we have Probability = 0.0219, z = 2.016
Therefore from the z score = 0.0683, p = 0.52392 from z table.
Answer:

Step-by-step explanation:
Given the equation

Note that

and

Combined, 
Solve the equation:

Since
this is the solution to the equation.
Answer:
the answer is 15.
Step-by-step explanation:
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10
7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640