Answer:
Empirical formula
0.34
0.33
0.33
A^c = event B or event C
Step-by-step explanation:
A = roommate A wins the game
P(A) = (Rock A and Scissors B) + (Scissors A and paper B) + (paper A and rock B)
P(A) = (0.36*0.53) + (0.32*0.25) + (0.32*0.22) = 0.3412
C = game ends in a tie :
P(C) = (RockA and rockB) + (ScissorsA and ScissorsB) + (ScissorsA and ScissorsB)
P(C) = (0.36*0.22) + (0.32*0.53) + (0.32*0.25) = 0.3288
P(B) = 1 - P(A) - P(C)
P(B) = 1 - 0.3412 - 0.3288
P(B) = 0.33
Complement of event A =event B or event C
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Answer:
AD
Step-by-step explanation:
Answer:
A. 0.7 x 80
Step-by-step explanation:
At the beginning of the month, there is 100% remaining of the peanut butter. 100% = 80 oz. After eating 30%, that's 100%-30%=70%. 70%=0.7
Answer:
59.72
Step-by-step explanation: