Answer:
Explained below.
Step-by-step explanation:
Denote the variable as follows:
M = male student
F = female student
Y = ate breakfast
N = did not ate breakfast
(a)
Compute the probability that a randomly selected student ate breakfast as follows:

(b)
Compute the probability that a randomly selected student is female and ate breakfast as follows:

(c)
Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:

(d)
Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:

(e)
Compute probability of the student selected "is male" or "did not eat breakfast" as follows:

(f)
Compute the probability of "is male and did not eat breakfast as follows:

The 3oz is better than the 20
Answer:
Ihorangi uses 7.65 litres of petrol to and from work
Step-by-step explanation:
If the car Ihorangi drives consumes 7.5 L/100 km
Then for 1 km journey, the car will consume 7.5/100 L
= 0.075 L
If Ihorangi travels 51 km to work and 51 km from work
Therefore Ihorangi travel (51 + 51) km daily to and from work
= 102 km daily
The fuel he consumes daily is 102*0.075 L
= 7.65 L
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Answer:
x = 11
Step-by-step explanation:
(3x + 28) + (5x + 52) + ( 2x - 10) = 180
(3x + 5x + 2x) + (28 + 52 - 10) = 180
10x + 70 = 180
10x = 180 - 70
10x = 110
x = 11