Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr ×
= 2π × 18 ×
= 36π ×
= 6π ≈ 18.8 cm ( to 1 dec. place )
Answer:
a. 0.1917
b. 0.0914
d. 0.1580
Step-by-step explanation:
(a)
Mean, = 0.375 -0.1833 = 0.1917
(b) sample prop ? Show your work and label each value.
Mean, = = 0.1917
Standard deviation =
Standard deviation =
Standard deviation = 0.0914
(c)
Normality condition:
np ≥ 10 and n(1-p) ≥ 10
Both the samples satisfy the normality condition.
(d)
The probability is obtained by calculating the z score,
= 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1 - 0.8420 = 0.1580