Person A buys 10 granola bars and 6 cups of yogurt for <em>$18</em>
Person B buys 5 granola bars and 4 cups of yogurt for <em>$9.50</em>
Let <u>x</u> represent the granola bars
Let <u>y</u> represent the yogurt
10x + 6y = 18 << ( Divide both sides by 2 )
The second equation is 5x + 4y = 9.50. Now subtract the two equations.
5x + 4y = 9.50
-5x - 3y = -9
y = $.50
5x + 3(.50) = 9
5x + 1.50 = 9
5x = 7.5
x = $1.50
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Answer:
D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation:
The result of a product is odd only when the two numbers are odds.
There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.
P(even) = 27/36 = 0.75
Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1
Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5
Answer:
The store paid 6.67 times the profit made on the jeans
Step-by-step explanation:
Let the amount the clothing store pay for Jean be X
Let the amount the clothing store sells Jean be Y = X ×1.15
The profit (P) made is the difference between amount the clothing store sells Jean and the amount paid for Jean = Y - X = 1.15X - X
Profit (P) = 0.15X
X = P/0.15 = 6.67P
Therefore, the store paid 6.67 times the profit made on the jeans
