Hope this handy formula helps!
Answer:
0.8809
Step-by-step explanation:
Given that:
The population proportion p = 4% = 4/100 = 0.04
Sample mean x = 16
The sample size n = 300
The sample proportion 
= 16/300
= 0.0533
∴






From the z tables;
= 0.8809
OR
Let X be the random variation that follows a normal distribution;
Then;
population mean
= n × p
population mean
= 300 × 0.04
population mean
= 12
The standard deviation 
The standard deviation 
The standard deviation 
The standard deviation 
The z -score can be computed as:



z = 1.18
The required probability is:
P(X ≤ 10) = Pr (z ≤ 1.18)
= 0.8809
Step-by-step explanation:
x cos θ + y sin θ = x cos β + y sin β
<em>Let's say x = cos A, and y = sin A.</em>
cos A cos θ + sin A sin θ = cos A cos β + sin A sin β
<em>Use angle sum formula.</em>
cos(A − θ) = cos(A − β)
A − θ = ±(A − β)
A − θ = β − A
2A = θ + β
A = (θ + β) / 2
cot A = cot((θ + β) / 2)
x/y = cot((θ + β) / 2)