Answer:
See explanation
Step-by-step explanation:
<h3 /><h3>Step 1</h3>
Miguel wins $2 is if he pulls two chips with the number 1.
<u>Probability of winning is:
</u>
- 2/4 * 1/3 = 1/6 as there are 4 chips in total
<u>
Probability of loosing is:</u>
<h3 /><h3>Step 2</h3>
<u>Missing values we found in the step 1, can be populated in the table:</u>
- Xi === 2 === -1
- P(Xi) === 1/6 === 5/6
<u>Expected Value as per table data:</u>
Expected value is $1/2 loss each time he plays
<h3 /><h3>Step 3</h3>
To make the game fair, the expected value should be zero.
<u>Then as per the calculation above, let's replace 2, with x, and find its value.</u>
- 1/6x + 5/6*(-1) = 0
- 1/6x = 5/6
- x= 5
So the amount should be $5 to make the game fair.
This is false because 20-8 is 12 and 12 times 5 isnt 17
Answer: the store paid $18.3 for the sweater
Step-by-step explanation:
Let x represent the amount that the store paid for the sweater.
A store marks up the price of a sweater by $7.35. This means that the new or current price of the sweater at the store would be
7.35 + x
The total cost of the sweater is 25.65. Therefore, an equation to represent the problem would be
7.35 + x = 25.65
Subtracting 7.35 from the left hand side and the right hand side of the equation, it becomes
7.35 + x - 7.35 = 25.65 - 7.35
x = $18.3
Since it takes 48 minutes to walk 6 laps, you can divide 48 by 6 to get how long it takes for him to walk one lap. Mickey will take 8 minutes to walk 1 lap.
48÷6=8