Re: [計量] 好多題計量請教
※ 引述《balance9235 (退伍變米蟲)》之銘言:
: 1. Two successive discounts of 30% and 30% are equivalent to a single discount
: of p percent.
: Column A Column B
: p 49 ANS:A 題目看無
:
連打兩次七折=49折=discounts of 51%
2. Column A Column B
: The area of rhombus 70
: ABCD if 線段AB = 10
: and 角BAC = 45度 ANS:A
菱形面積=兩個邊長10夾角45度的等腰三角形
=100/根號2 比70大
: 3 Column A Column B
: The slope of a line
: that passes through 2/3
: the origin and makes
: a 30 degree angle with
: the x-axis. ANS:B
畫個圖 過原點夾30度 也會過(根號3,1) 用這點算斜率=0.58
: 4. Column A Column B
: The area of an isosceles
: right triangle whose 4
: perimeter is 10. ANS:A
(2+根號2)t=10 兩邊平方 t^2=100/6+ 4*根號2 面積=t^2/2
: 5. X≠0 , √(2x)=(3x)^1/3
: Column A Column B
: x 1.2 ANS:B
兩邊六次方 (2x)^3=(3x)^2 x=9/8
: 6. How many positive 3-digit integers contain the digit 9?
: (A) 180
: (B) 244
: (C) 252
: (D) 280
: (E) 648 ANS:(C) 算好幾遍,湊不出答案...
100~999共有900個數-(完全沒有9的個數)=900-(9*9*8)=252
: 7. Column A Column B
: The maxiumn number of 6
: non-overlapping regions
: into which 3 lines can
: divide the interior of
: a circle. ANS:A
比6個多 把三線交於一點後 其中一線往下移 就會產生7個區域
: 8. Circle O is inscribed in a 3-4-5 triangle.
: Column A Column B
: The probability of the 1/2
: point that is not inside
: the circle O if a point
: is chosen at random from
: inside the triangle. ANS:B
算面積比 圓半徑=> 3*4=(3+4+5)*x x=1 圓面積=3.14
三角形面積=> 6-3.14 < 0.5
: 9. In hoe many ways can Alice, Betty, Carol, Diana, and Emma sit at a round
: table if either Betty or Carol must sit in a certain seat and neither
: Diana nor Emma can sit another certain seat?
: (A) 8
: (B) 12
: (C) 18
: (D) 24
: (E) 36 ANS:(D)
不會算...隨便坐的排法就等於 5!/5=24 了...
: 10. A bowl contains red, green ans white balls. The probability of choosing a
: red ball is 1/3. There are 5 more green ball than red ones, and there are
: 12 White balls. What is the odds against chooseing a white ball?
: (A) 12/39
: (B) 12/51
: (C) 13/4
: (D) 17/4
: (E) 12/22 ANS:(C) 各有幾顆球都算出來了,不過看不懂最後一句話
應該是問不選到白球的機率 只是我算的答案也不是c...13/17...
: 摸魚了兩天,這是今天的題目,一樣要麻煩大家了!
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