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109年 - 109-1 桃園市立大園國際高中教師甄選:數學科#86510
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6. Two unbiased tetrahedral (four-sided) dice with faces labelled 1, 2, 3, 4 are thrown and the scores recorded. Let the random variable T be the maximum of these two scores. Find the expected value of T .
其他申論題
2. 由 1、2、3、…、20 挑出x1 ,x2 , x3 三個數,且。若, ,則挑出三數的方法數為何?
#349815
3. 已知三正數 x , y , z 滿足,求數組 ( x ,y ,z ) 。
#349816
4. The first terms of an arithmetic sequence are, ,, … . Find x if the sum of the 20 terms of the sequence is equal to 100 .
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5. Consider the equation , . Given that and . Find the solution to the equation for .
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7. 已知 ,若 f( x ) 可以整理成 ,試求 a,h,p,k 之值。
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8. 試求 x2000 -1 除以的餘式。
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(a) Find the probability that Chloe wins the game. [5 分] Chloe
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(b) Determine (i)i the mean of X ; [2 分]
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(ii) the variance of X . [3 分]
#349824
(a) Find the Cartesian equation of the plane Π1 , passing through the points A, B and D. [2 分]
#349825