Gearyjames8
30.07.2019 •
Mathematics
Rhonda is playing a board game. the players take turns rolling a pair of number cubes. on her next turn rhonda must roll a 5 to win the game, but if she rolls a double she gets an extra turn. a. explain why the events rolling a 5 and rolling doubles are mutually exclusive. b. if the probability of rolling a 5 is 1/9 and the probability of rolling doubles is 1/6, what is the probability that rhonda rolls either a 5 or doubles on her next turn. express your answer as a fraction in simplest form.
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Ответ:
b) Since these events are mutually exclusive, we can simply add their probabilities: (1/9) +(1/6) = 2/18 +3/18 = 5/18.
Ответ:
Step-by-step explanation:
Right triangle ABC is reflected over AC to form triangle AFC.
Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.
Reflection is a rigid transformation which preserves lengths and angles, then
Dilation is a transformation which maps the triangle into similar triangle, so
Thus,
Similar triangle have congruent corresponding angles, so
and proportional corresponding sides
Thus, correct options are: