The transformation is rotation.
Answer:
171
Step-by-step explanation:
calculator
Answer:
Step-by-step explanation:
Answer: The slope of the line is 15 and y-intercept is 12.
Step-by-step explanation: We are given to find the slope and y-intercept of the straight line defined by the points (3, 57) and (5, 87).
We know that
the slope of a line passing through the points (3, 57) and (5, 87) is given by
Since the straight line passes through the point (3, 57), so its equation will be
So, the required equation of the straight line is 
Thus, the slope of the line is 15 and y-intercept is 12.
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.
