1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:
slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72
2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute
3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes
The answer is 11/36
2/12 chance of rolling fours
because there are 2 sides containing a four on both dice combined and 12 sides in total.
Doubles mean you have to roll the same number simultaneously so let’s say we want to calculate the probability for double ones: then it’s 1/6 on the first dice for a one, and 1/6 on the second dice to land on a one as well.
I personally like to imagine a box like this:
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If you have one dice then it’s just a random segment on one of the lines. If you want the specific result from two dice then you want two specific segments which is also the 1 specific tile out of 36 (6 width times 6 height). So you multiply.
1/6 * 1/6 = 1/36 chance to roll double of ones
And 1/36 chance to roll double twos, threes, fours, fives, and sixes. But we don’t count the double fours because any four will do. So:
1/36 * 5 = 5/36
So for the probability of either doubles or containing a four is the probability of doubles of either number plus the probability of either dice being a four:
5/36 + 2/12 =
5/36 + 6/36 =
11/36
The answer is no solution
