Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.



PR = 
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
A) 75heartbeats per min
B) $9.35 per ticket
C) 2.25 per golf ball
D) $9.75 per hour
Answer: C
Step-by-step explanation:
<u>Given:</u>
Sample size (n) = 50
x = 12

Confidence level = 90%
α = 1 − 0.90 = 0.10
α/2 = 0.05

(from standard normal table)
90% Confidence interval is,

Therefore, 90% confidence interval for the true proportion of sophomores who favour the adoption of uniforms is C