In a board game, you roll a die to win or lose points, depending on the outcome. The outcomes follow this probability distribution.

Number 1 5 2,3,4,6
Probability 1/6 1/6 4/6
Points 4 6 -5
If a player can only win by accumulating 20 points, which of the following best describes the fairness of the game?

It's not a fair game because the weighted average is negative.
It's a fair game because you could win points.
It's a fair game because you gain more points if you roll a 5 than if you roll any of the negative outcomes.
It's not a fair game because the weighted average is positive.

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?

Ageologist had two rocks on a scale that weighed 4.6 kilograms together.rock a was 0.5 of the total weight.how much did rock a weigh?

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible