Answer:
Explanation:
The theoretical probability, P (A), of an event, A, is:
- P(A) = number of outcomes of event A / total number of possible outcomes
For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:
- Combination of 15 strawberry juices chosen in two:
The total number of possible outcomes is:
- Combination of 25 juices chosen in two:
Thus, the probability of randomly picking two strawberry juices is:
- P (two strawberry juices) = 105/300 = 7/20
Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:
<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>
Answer:
<em>x = -9</em>
<em>y = 2</em>
Step-by-step explanation:
<u>Solve the system:</u>
2x + 3y = -12 [1]
2x + y = -16 [2]
Subtracting [1] and [2]:
3y - y = -12 + 16
2y = 4
y = 4/2 = 2
From [1]:
2x + 3(2) = -12
2x + 6 = -12
2x = -18
x = -18/2 = -9
Solution:
x = -9
y = 2
Answer: x2 + 12x
Step-by-step explanation:
C -3/2
Just multiply the second equation by -3/2
this will make the y term = -3/4y
so adding will eliminate the y terms.
Answer:
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
Step-by-step explanation:
Let the number of
Fiction books = x
Non fiction books = y
The libary has 4,000 books in total.
Hence: x + y = 4000........ Equation 1
The number of fiction books in a libary is %150 of the number of non-fiction books.
x = 150% of y
x = 150/100 × y
x = 1.5y
We substitute 1.5y for x in Equation 1
x + y = 4000
1.5y + y = 4000
2.5y = 4000
y = 4000/2.5
y = 1600 non fiction books
Solving for x
x = 1.5y
x = 1.5 × 1600
x = 2400 fiction books.
Therefore,
The number of
Fiction books = x = 2400 fiction books
Non fiction books = y = non fiction books
