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Mathematics Senior High

57.58の独立は何が違うんですか 57とかこんな式使わんくても事象二つがちょっとでも重なってるか全く別か感覚でわかるくないですか?

18 ~ 2/25 基本 例題 57 独立 従属の判定 00000 2個の合計10 取り出すとき 1 の同時分布を求 p.438 基本事項 1 00000 111から9までの整数から1つの整数を選ぶとき,それが奇数である事象 Aと5以下である事象Bは独立であるか, 従属であるか。 (2) 52枚のトランプから1枚を引くとき,それがハートである事象Aとエー スである事象Bは独立であるか, 従属であるか。 CHART & HINKING ●ではなく、2つの 事象AとBが独立 事象の独立 従属 p.438 基本事項 2 441 PA(B)=P(B)⇔ PB(A)=P(A) (定義) ⇔P(A∩B)=P(A)P(B) (乗法定理) 事象の独立・従属を、試行の独立と混同してはダメ。上の関係式のうちいずれかが成り立 つとき、事象が独立といえる。 確かめやすい関係式を利用すればよい。 ここでは, 乗法定理 が成り立つか確認する方法で調べてみよう。別解は定義を確認する方針。 (1) P(A)= =0,P(B)=1, P(A∩B)=g 2章 27 確率変数の和と積。 二項分布 えば 解答 _X = 1, Y=2) は, 回目に1の球、2回目 5 よって P(A∩B) ≠P(A)P(B) 25 P(A)P(B)= 81 「別解 P₁(B)= =1313,P(B)=1/2 であるから したがって、2つの事象AとBは従属である。 5 P(A∩B) PA(B)= P(A) 3 ことを確かめるた PA (B) ≠P(B) 9 3 確率は約分しない。 よって、 2つの事象AとBは従属である。 4 5 5 9 (2) P(A)=12=11,P(B)= P(A∩B)= 52' よって P(A∩B)=P(A)P(B) 1 52 したがって、2つの事象AとBは独立である。 4 1 別解 PA (B)=- 13,P(B)=1 52 13 であるから PA(B)=P(B) 1 52 1 PA(B)= 13 13 52 1)+P(Y=2) J-3)-1 となる を確認 (検算) する linf. もとに戻さ 取り出された青 よって、2つの事象AとBは独立である。 (2)のトランプが,ジョーカー1枚を加えて53枚の場合は 13 53' 4 53' P(A)=- P(B)=1313, P(A∩B)= から P(A∩B) P(A)P (B) 53 となり、2つの事象AとBは独立ではなく, 従属である。 PRACTICE 57° 1枚の硬貨を3回投げる試行で, 1回目に表が出る事象をE, 少なくとも2回表が出 る事象をF, 3回とも同じ面が出る事象をGとする。 EとF,EとGはそれぞれ独立 か従属かを調べよ。

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English Senior High

英語長文問題です (1)イ?ウ? (2)ウ (3)イ (4)ア 解いてみたのですが(1)が分かりませんでした (2)(3)(4)もあっていますか?

14 Paraphrase Rapid Reading [速読 目標解答時間12分 ] 鶴と亀の物語から得られる教訓は何でしょうか。 Listening EX ON の 船 1 Once there were two cranes and a tortoise who lived by a lake and became good friends. They played together all day long, sunning themselves on the sand and swimming in the lake. They were very happy and wanted to be together forever. 2 But that year there was a drought*. For five months, no rain fell at all. The rivers and the land cracked. Each day, the little lake where the tortoise and cranes dried up, lived became smaller and smaller. 3 One day the two cranes flew into the air to see how things were, and came back in the evening saying, "Tortoise, everyone is moving to the Heavenly Lake. I think we should move too. If we stay here, we'll die of hunger and thirst." 13 end sky gra 14 to O P 1 5 The tortoise shut his little eyes and cried. "Oh, you can fly or hurry as fast as you 10 get to the Heavenly Lake. But I can neither fly nor walk fast. Within three days I will be nothing but an empty shell! We have been friends for so long. Please don't leave want, and me behind." 5 The tortoise cried so much that the cranes, unable to hold their own tears back, did not have the heart to leave him behind. So they decided to stay at the lake with the 15 tortoise for a while. Perhaps the rain would come in a few days. 6 But the weather did not change. Clear stars dotted the sky at night, and the sun was they thought hot and cruel el by day. The little lake was nearly dry. The cranes said again they must go. The tortoise knew that he could not keep them there any longer, so he pleaded* with them, saying "We have been friends for so long! Can't you think of a way to 20 take me along?" 7 They thought long and hard. After some time the cranes said, "Tortoise, we have a plan, but it will be difficult." 18 The tortoise asked eagerly, "What is it? What is it?" "We'll hold two ends of a stick in our beaks*, and you can hold on to the middle with 25 your mouth. Then we can fly, carrying you between us. What do you think of the idea?” 10 The tortoise was so happy that he nearly jumped. "Yes, yes! That's a good idea! Let's start at once!" 11 The cranes were very happy, too, but they had to give him a warning. "You must be NOTES drought : 干ばつ plead : 嘆願する 32 UNIT 8 beak (鳥の) くちばし )( ).no パート ごとの 音声 ON

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English Senior High

以下の写真の様な問題の解き方を教えてほしいです。 問題を貼っていますが、一問ごとの解説ではなく 全体的な分け方について教えてほしいです。 お願いします。

1. I am planning (to travel / traveling) to Europe next month. 2. She is very good at tennis, so you should avoid (to play / playing) against her. 3. We managed (to catch / catching) the last train just in time. 4. I really don't mind (to wait waiting) for another thirty minutes. 5. He promised (to call / calling) me as soon as he arrived at the airport. 6. The company decided (to close / closing) its Tokyo office. 7. You should practice (to speak / speaking) English every day. 8. They offered (to help / helping) us clean up the kitchen. 9. I can't imagine (to live / living) without my smartphone. 10. He refused (to sign signing) the contract until he read it carefully. 11. She gave up (to look / looking) for her lost earring. 12. I expect (to finish / finishing) this project by Friday. 13. We ended up (to stay / staying) at a cheap hotel because of the storm. 14. They put off (to have / having) the meeting until next week. 15. He pretended (to know 16. The thief denied (to steal / stealing) the expensive watch. 17. I cannot afford (to buy buying) a new computer right now. 18. Have you finished (to wash / washing) the dishes yet? 19. She hesitates (to tell / telling) the truth to her parents. knowing) everything about the issue. 20. I enjoy (to listen / listening) to podcasts while commuting. 21. My brother suggested (to go / going) to the beach this weekend. 22. We hope (to see / seeing) you again in the near future. 23. You must keep (to try / trying) until you succeed. 24. The doctor recommended (to take / taking) a few days off. 25. He failed (to pass / passing) the driving test for the third time. 26. She dislikes (to wake waking) up early on Sundays. 27. They are preparing (to move / moving) to a new apartment. 28. I miss (to hang / hanging) out with my friends from high school. 29. He demanded (to speak / speaking) to the manager immediately. 30. Please escape (to make / making) careless mistakes on the exam.

Unresolved Answers: 0
English Senior High

あってますか

A: Amy T: Teacher was about 54% エイミー : 日本の投票率は約54%でした。 How about other countries? T: It's below 50% in France and it's above 90% in Australia. A: Really? The turnout in Australia is about twice as high as that in France. T: That's true. ほかの国はどうですか? 先生: フランスでは50%に届かないけ れど, オーストラリアは90%を 超えているね。 エイミー 本当ですか? オーストラリア の投票率は、フランスの約2倍 ですね。 先生:そのとおりだね。 EXERCISES ① 日本語の意味に合うように,適切な語を選びましょう。 gled Inoo worl.iH 1. I think English classes are (half / twice) as interesting as math classes. 英語の授業は数学の授業の2倍くらいおもしろいと思います。 2. I took as (manymore) pictures as Ken in Australia. 私は健と同じくらいたくさんの写真をオーストラリアで撮りました。 3. There is no mountain in Japan as (high/ higher) as Mt. Fuji. 富士山ほど高い山は日本にありません。 2 日本語の意味に合うように,( )内の語を並べかえましょう。 This winter (as / as / cold / is / not) last winter. 's not as cold as 今年の冬は昨年の冬ほど寒くないです。 amerit Japan is ( as / as / half / large) Chile half of largeas 日本はチリの半分の大きさです。 My sister ate (as / as / many / strawberries) my brother. 私の妹は兄と同じくらいたくさんのいちごを食べました。 ras many strawbellis as 2 右の絵を見て、空所に入る語を考えましょう。 Osaka alnog ocer 1.905 km² obribe esert G aka Prefecture is about Sinemeoolgen uter bluoW G Mie Prefecture. mert egnarlaxe Susie Cellome] 19gol ni Mie by bluoW 5 5,777km² Tuoyoa pol oxie ono not me ox toy no 投票率を示した統計表をもとに,自分の意見を発表しましょう。 ful Words & Expressions p.81-KL Country Singapore Turnout D 95.8

Unresolved Answers: 1
English Senior High

あってますか?

A: Amy T: Taku JAOD Why were you エイミー: 拓, 大丈夫? どうして保健室に運ばれたの? taken to the nurse's office?pone T: I might have had heatstroke, but I feel better now. A: Please drink a lot of water. 1080 (E拓: 多分熱中症だったみたいだけど, 今は気分がよくなったよ。 T: Thanks. I'll be more careful next time. エイミー:たくさん水分とってね。 拓 ありがとう。 次はもっと気をつけるよ。 PT-OT.co マーク EXERCISES 1 日本語の意味に合うように,適切な語句を選びましょう。 id airlie erT 1. This picture (was painting/ was painted) by a famous painter. この絵は有名な画家によって描かれました。 doum 2. Kyoto is (visiting/ visited) by many foreign tourists. 京都は多くの外国人観光客に訪れられています。 出 3. The sea can't (be seen / see ) from this room. この部屋から海は見えません。 I norit eonob vetted o ai oxoY eno torit norit evianeque exom doum ai netuqma eint 2 日本語の意味に合うように,( )内の語句を並べかえましょう。 Four official languages (in / are / Singapore / spoken) are spoken in Singapore シンガポールでは4つの公用語が話されています。 The rock (is/moss / covered/with). is covered with moss その岩はコケでおおわれています。 This problem (be / in / discussed / should / the meeting) later. この問題は後ほど会議で話し合われるべきです。 should be discussed in the meeting LUCE meetingnetics 右の絵の場面に合うように、空所に入る語を考えましょう。 Lesson Excuse me, that seat ? ari a take the seat 「席をとる (座る)」 y in to divom feed artt nol yo al art (A 自分の住んでいる市町村にある建築物について, 発表しましょう。 Useful Words & Expressions p.80-H 例 In Yokohama, we have Yokohama Bay Bridge. It was built in 1989. It has been illuminated during the night since then.

Unresolved Answers: 1
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