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Mathematics Senior High

矢印を引いているところの変形がわかりません。 どなたかすみませんがよろしくお願いします🙇‍♀️

94 難易度 ★★ SELECT SELECT 目標解答時間 15分 90 60 以下の問題を解答するにあたっては,必要に応じて巻末の正規分布表を用いてもよい。 次のような科学者 A 博士のメモが見つかった。 19 ア の解答群 89 このメモでは、小数第2位の数字が3であるかはっきりしない。 仮説検定をすることで,この確率の値について考えてみよう。 (1) 実際に粒子 Rを100個取り出したところ 31個が性質Pをもっていたとする。性質Pをもつ確 率は0.33 より小さいと判断してよいかを, 片側検定を用いて, 有意水準 5% で検定する。帰無 仮説は = 0.33 であり, 対立仮説はか ア 0.33 である。 粒子Rが性質Pをもつ確率は0.3である 256 -0.33 0.67 ×0.332 201 201 0.221 X 10 R 0.83 P 0.33 ② ≠ 20,1080 0.2389 0.88 33 14 帰無仮説が正しいとする。 粒子Rを1個取り出すとき、性質をもつならば1もたないなら ば0 の値をとる確率変数を Xとする。 X,の期待値をE(X), 分散をV(X), 標準偏差を とする。 E(X) は 0. イウであり, V(X) は 0.エオである。P(1-P)=0.33×0.67=0.24 0.33 粒子 R を 100個取り出したときに性質をもつものの個数は,二項分布カに従う! 4/0.0200 カ 1の解答群 0.4. 788 (20 ⑩ B(100,0.33) ① B(100,0.31) B(10, 0.33) B (10, 0.31) 31-0.33 とみなすと, Z= は近似的に標準正規分布に従う。 粒子を100個取り出したときに性質Pをもつものの割合をYとする。 個数 100が十分大きい YA #2 070147 ク ク ]】の解答群(同じものを繰り返し選んでもよい。 (n) (0 032 0.31 ① 0.32 0.33 0 ④ 1 (5) 10 100 320 0 of 0.47 と近似すると,P(Y≦0.31)の値は ケ であり、実際に100個取り出して31個が性 02 質をもっていたとしても、帰無仮説は棄却されず、確率は0.33 より小さいと判断できない。 ケ については,最も適当なものを、次の①~④のうちから一つ選べ。 547 0.11 ① 0.27 0.33 0.47 ④ 0.66 142 (2) 粒子R を取り出す個数をnとする。 0.31n 個が性質Pをもっていたとする。 n を十分大きいとみ なしの100をnに変えて検定するとき,帰無仮説が棄却されるようなぇの値として適するものは 0142) 200, 500, 1000, 2000, 5000, 10000 のうちに全部で コ 個ある。 0.50 10,08 143 (配点 10) (公式・解法集 107 108 110

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English Senior High

付箋で貼った2文がどうしてそのような訳になるのかわかりません。

た次の英文を読み, 設問に答えなさい。 (学習院 法学部 2022年) Society is everything. Many of us go through life thinking we are self-made and self-sufficient. Some may credit (or blame) their families for success or failure in life, but rarely do we think about (1) the bigger forces (that determine our destinies - the country we happen to be born in, the social attitudes common at a particular moment in history, the institutions that govern our economy and politics, and the randomness of just plain luck. These wider factors determine the kind of society in which we live and are the most important determinants of our human experience. 2 Consider an example of a life in which society plays a very (X) role. In 2004 I spent time with a family in the Ecuadorian Amazon*. Antonia, my host, had twelve children, and her oldest daughter was about to give birth to her first grandchild. They lived on the edge of the rainforest with no road, electricity, clean water or sanitation*. There was a school, but a considerable distance away, (Y) the children's attendance was irregular However, Antonia was a community health worker and had access via radio* to a doctor in a nearby town who could provide advice to her and others. Apart from this service (arranged by a charity), she and her husband had to be completely self-reliant gathering food from the forest, educating their children on how to survive in their environment. On the rare occasions when they needed something they could not find or make themselves (like a cooking pot), they searched for bits of gold in the Amazon, which they could exchange for goods in a market at the end of a long journey by boat. 3 This may seem like a very extreme and distant example, but it serves to remind us how accustomed we are to the things that living collectively gives us infrastructure, education and health care, laws that enable markets in which we can earn incomes and access goods and services. Antonia and her daughter promised to name the baby (they were Minouche, (2) which was a great honour. I often wonder what kind of life that other Minouche will be having as a result of being born in a very different society. V+ re expecting The way a society is structured has profound consequences for the lives of those living in it and the kinds of opportunity they face. It determines not just their material conditions but also their well-being, relationships and life The structure of society is determined by institutions such astical and legal systems, the economy, the way in which family and community life are organized. All societies choose to have some things left to individuals and others determined collectively. The rules governing how ? those collective institutions operate form what might be called the social contract, which 1 believe is the most important determinant of the kinds of lives we lead. Because it is so important and because most people cannot easily leave their societies, the social contract requires (Z) of the majority and necessary changes ás circumstances change. VF vf ⑤We are living at a time when, in many societies. people feel disappointed by the social contract and (3) the life it offers them. This is despite the huge gains in material progress the world has seen over the last 50 years. Surveys Social contract people

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English Senior High

(4)について This is why にしてしまいました。  This is becauseというようなThis is whyの表現ではだめな理由を教えてください

(60分) Ⅰ 次の英文を読んで、下の設問 (1)~ (11) の語には注が付いています。 に答えなさい。 なお、 Food is fuel. When your body needs energy, you eat. When it doesn't you don't. It should be so simple when you think about it, but that's exactly the problem: us big smart humans can and do think about it, (, introduces all manner of problems and neuroses*. Have you noticed how you always have "room for dessert"? You might have just eaten the best part of a cow, or enough cheesy pasta to sink a gondola, but you can manage that fudge brownie or sundae. Why? How? If your stomach is full, how ice cream triple-scoop b) eating more even physically possible? It's largely because your brain makes an executive decision and decides that, no, you still have room. The sweetness of desserts is a palpable* reward (7)that the brain recognizes and wants so it overrules the stomach. C Exactly {c case is ③ is 4 the this why) uncertain. It may be that humans need quite a complex diet in order to remain in tip-top* condition, so rather than just relying on our basic metabolic systems to eat whatever is available, the brain steps in and tries to regulate our diet better. And this would be fine if that was all the brain does. But it doesn't. So it isn't. Learned associations are incredibly powerful when it comes ( d ) eating. You may be a big fan of something like, say, cake. You can be eating cake for years without any bother, then one day you eat some cake that makes you vomit. Could be some of the cream in it has gone sour; it might contain an ingredient you're allergic to; or (and here's the annoying one) it could be that something else entirely made you throw up shortly after eating cake. out of The disgust eating poiso g And it consider th The brain than food, it doesn't worryingl needlessl one of li shovelin the brai (注) (1) (2

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