The answer is 720. Find a number so that 25% of it is 240. That number is 960, then minus 240 from it to find the number of the other people.
Answer:
a. 3/2.
b. (0, 2).
Step-by-step explanation:
a. 2y = 3x + 4 Divide through by 2:
y = 3/2 x + 2
Comparing this to the general form y = mx + c where m = the gradient we see that the gradient = 3/2.
b. When the line crosses the y-axis x = 0 so we have the equation:
2y = 3(0) + 4
2y = 4
y = 2.
So the required point is (0, 2).
Answer:
The probability that the new baby just born is a boy is 0.6
Step-by-step explanation:
- B=Event where the nurse picked up a boy
- G=Event where the nurse picked up a girl
Applying Bayes's Theorem:
P(A|B)=P(A) P(B|A) / [ P(A) P(B|A)+ P(C) P(B|C) ]
Where:
- P(A|B)=probability that the new baby just born is a boy given that the nurse picked up a boy.
- P(A)=Probability that the woman had a boy= 1/2
- P(C)=Probability that the woman had a girl=1/2
The probability for P(A) and P(C) is 1/2 becuase there are only two options. Girl or Boy
n= number of girls born
3+n= Total number of children in the nursery
Then,
P(A|B)=
P(A|B)=3/5
P(A|B)=0.6
Answer:
a
Step-by-step explanation:
y = 3x - 7 → (1)
4x - 5y = - 20 → (2)
substitute y = 3x - 7 into (2)
4x - 5(3x - 7) = - 20
4x - 15x + 35 = - 20
- 11x + 35 = - 20 ( subtract 35 from both sides )
- 11x = - 55 ( divide both sides by - 11 )
x = 5
substitute x = 5 into (1)
y = 3(5) - 7 = 15 - 7 = 8
solution is (5, 8 )