He has half of the money because 1-1/2 = 1/2
Answer:
(0, 12)
Step-by-step explanation:
To find the y-intercept we just plug in x = 0 into the equation.
2(0) + 3y = 36
3y = 36
y = 12 which means the y-int. is (0, 12)
Answer:
1
Step-by-step explanation:
factors of 18: 1,2,3,6,9,18
factors of 19: 1,19
Answer:
Logic with the use of Truth Table
Step-by-step explanation: a) Oleg is a math major= P; Oleg is a economic major=Q; Oleg is required to take math 362=R; Oleg is not required to take 362=←R
b)i) Oleg is a math major or Oleg is an economic major:
P║ Q ║ P∨Q
T T T
T F T
F T T
F F F
ii) Oleg is a math major, then Oleg is required to take Math 362:
P║ R ║ P∧ R
T T T
T F F
F T F
F F F
iii) Oleg is an economic major or Oleg is not required to take Math 362:
Q║ ←R ║ Q ∨ ←R
T T T
T F T
F T T
F F F
c) It is valid because Oleg can only take Math 362 since Oleg is a math major, therefore, it follows that, R ∧ ( P ∨ Q) is valid.
Answer:
The mean is 41
Step-by-step explanation:
Here , we are interested in finding the mean.
Firstly, let the standard deviation be x and the mean be y.
We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.
Mathematically;
51 - 2(x) = y
y + 2x = 51 •••••••••(i)
We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36
Mathematically, that would be;
y-36 = x •••••••(ii)
Substitute ii into i directly;
We have
y + 2(y-36) = 51
y + 2y -72 = 51
3y -72 = 51
3y = 51 + 72
3y = 123
y = 123/3
y = 41
