Alex and max are twins, and they are both about to take exams in math, english, history, and science. their parents
have offered them special privileges (details to be announced) if they get a’s in all their exams. for the four exams,
alex’s probabilities of getting a’s are 0.8, 0.9, 0.8, and 0.95, respectively. the equivalent probabilities for max are
0.9, 0.9, 0.85, and 0.85. (you can assume that the results of the four tests are independent of one another.)
a. which of the twins is more likely to get a’s in all the exams?
b. which of the twins is more likely to get at least one a?

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step-by-step explanation:

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: