Mathematics, 23.07.2019 00:00 jeanetteelliotp9ru6m

Miguel is playing a game in which a box contains four chips with numbers written on them. two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. miguel must choose two chips, and if both chips have the same number, he wins $2. if the two chips he chooses have different numbers, he loses $1 (–$1). let x = the amount of money miguel will receive or owe. fill out the missing values in the table. (hint: the total possible outcomes are six because there are four chips and you are choosing two of them.)

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To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)

We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.

Answer from: johnny2585

The only way Miguel wins the 2 dollars is if he pulls the two chips with the number 1. There are four chips in total, so his probability of winning is:

2/4 * 1/3 = 1/6

The odds of losing a dollar is the compliment of this number, so 5/6.

Answer from: Quest

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.

Answer from: Quest

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu

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Miguel is playing a game in which a box contains four chips with numbers written on them. two of the...