Answer:
450 cm
Step-by-step explanation:
12 degrees is 1/30 of the circumference because there are 360 degrees in a circle.
The minor arc length of 15 is in the same ratio to the circumference as the 2 angles , so the circumference = 30 * 15 - 450 cm.
** x + 5 = 7
x = 2
** x + 5 = 9
x = 4
{2,4}
I believe that the answer is 20. I am not entirely sure though.
Answer:
Step-by-step explanation:
I need the question to answer please :)
Answer:
a) 0.0853
b) 0.0000
Step-by-step explanation:
Parameters given stated that;
H₀ : <em>p = </em>0.6
H₁ : <em>p = </em>0.6, this explains the acceptance region as;
p° ≤ =0.63 and the region region as p°>0.63 (where p° is known as the sample proportion)
a).
the probability of type I error if exactly 60% is calculated as :
∝ = P (Reject H₀ | H₀ is true)
= P (p°>0.63 | p=0.6)
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z > 1.37]
= 1 - P [Z ≤ 1.37]
= 1 - Ф (1.37)
= 1 - 0.914657 ( from Cumulative Standard Normal Distribution Table)
≅ 0.0853
b)
The probability of Type II error β is stated as:
β = P (Accept H₀ | H₁ is true)
= P [p° ≤ 0.63 | p = 0.75]
where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below
= P
= P
= P
= P [Z ≤ -6.20]
= Ф (-6.20)
≅ 0.0000 (from Cumulative Standard Normal Distribution Table).