<span>W = event where white marble is drawn
B = event where black marble is drawn
The two events W and B are independent. This is because the marble taken out on the first draw is put back into the bag. Since W and B are independent, we can use this rule
P(W and B) = P(w)*P(B)
Use the rule to get
P(W and B) = P(W)*P(B)
P(W and B) = (1/2)*(1/4)
P(W and B) = (1*1)/(2*4)
P(W and B) = 1/8
1/8 is equivalent to 0.125. Use long division or a calculator
0.125 = 12.5% </span>
Answer:
The answer is below
Step-by-step explanation:
Let x represent the cost of apples, y represent the cost of strawberries and z represent the cost of oranges.
The money used to buy 2 apples, 3 boxes of strawberry, and 4 oranges is represented as:
2x + 3y + 4z = 15.3 (1)
The money used to buy 4 apples, 1 boxes of strawberry, and 2 oranges is represented as:
4x + y + 2z = 10.9 (2)
The money used to buy 5 apples, 2 boxes of strawberry, and 1 oranges is represented as:
5x + 2y + z = 13.7 (3)
Solving equation 1, 2 and 3 simultaneously gives:
x = $1.5, y = $2.5 and y = $1.2
The cost of orange is $1.5, cost of strawberry = $2.5 and cost of orange = $1.2
Y = x/4 - <span>€
y = (1/4)x - </span><span>€
</span><span>
y = 0.25x - </span>€ comparing to y = mx + c
<span>m = slope = 0.25 or (1/4)</span>
Answer:
Step-by-step explanation:
4x + 7 = 3x + 14
x + 7 = 14
x = 7
4(7) + 7 + 3(7) + 14
28 + 7 + 21 + 14
35 + 35 = 70
