Answer: 9,127
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The answer is A. (2,2)....
Answer:
216/343 or 0.6297 (4dp)
Step-by-step explanation:
Anytime the probability of an event occurs more than once in a particular order (one time after another in the same instance), then the probability is multiplied together. If the probability of him making the shot is 1/7, then the probability of him missing it is 6/7. This is because this is the only other possible outcomes and all outcome probabilities must add to 1 (1-1/7 - 6/7).
So, if he misses it three times in a row then the probability is:
6/7 (probability miss this first time) x 6/7 (probability miss second time) x 6/7 (probability miss 3rd time).
6/7 x 6/7 x 6/7 = 216/343
or 0.6297 (4dp)
Hope this helped!
Simplify the following:
3 x^2 (3 x - 6/x)
Put each term in 3 x - 6/x over the common denominator x: 3 x - 6/x = (3 x^2)/x - 6/x:
3 x^2 (3 x^2)/x - 6/x
(3 x^2)/x - 6/x = (3 x^2 - 6)/x:
3 x^2 (3 x^2 - 6)/x
Combine powers. (3 x^2 (3 x^2 - 6))/x = 3 x^(2 - 1) (3 x^2 - 6):
3 x^(2 - 1) (3 x^2 - 6)
2 - 1 = 1:
3 x (3 x^2 - 6)
Factor 3 out of 3 x^2 - 6:
3 x×3 (x^2 - 2)
3×3 = 9:
Answer: 9 x (x^2 - 2)
