8 szkoły podstawowej

Matematyka 8

Matematyka

Egzamin ósmoklasisty. Matematyka

Egzamin ósmoklasisty Matematyka. 2018/2019. Arkusz przykładowy

Egzamin ósmoklasisty Matematyka. Czerwiec 2020

Egzamin ósmoklasisty Matematyka. Grudzień 2018. Arkusz próbny

Egzamin ósmoklasisty Matematyka. Grudzień 2019. Arkusz próbny

Egzamin ósmoklasisty Matematyka. Kwiecień 2019

Egzamin ósmoklasisty Matematyka. Listopad 2018. Arkusz próbny

Egzamin ósmoklasisty Matematyka. Maj 2021

Egzamin ósmoklasisty Matematyka. Marzec 2020. Arkusz próbny

Egzamin ósmoklasisty Matematyka. Marzec 2021. Arkusz próbny

Matematyka 8. Ćwiczenia podstawowe

Matematyka 8. Podręcznik cz.1

Matematyka 8. Podręcznik cz.2

Matematyka 8. Zestawy zadań

Matematyka. Kalendarz ósmoklasisty

Matematyka. Przygotowanie do egzaminu ósmoklasisty. Repetytorium

Matematyka wokół nas 8

Matematyka z kluczem 8

Matematyka z plusem 8

Tak, zdam! Egzamin ósmoklasisty. Repetytorium Matematyka

Teraz egzamin ósmoklasisty. Arkusze

Teraz egzamin ósmoklasisty. Repetytorium

Wszystkich możliwych wyników tego doświadczenia jest

liczba wyników: N =&nbsp; 15+10=25 &nbsp; liczba zdarzeń sprzyjających: n =&nbsp; 10 &nbsp; prawdopodobieństwo wybrania chłopca: p =&nbsp; Nn​=2510​=52​ &nbsp; Odpowiedź: Prawdopodobieństwo wybrania chłopca wynosi&nbsp; 52​ .

<table style="border-collapse: collapse;width: 430px;height: 182px;" border="1"> <tbody> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; &nbsp; &nbsp; &nbsp;II \ I&nbsp;</td> <td style="width: 82px;height: 40px;">&nbsp; 1 oczko</td> <td style="width: 84px;height: 40px;">&nbsp; 2 oczka</td> <td style="width: 83px;height: 40px;">&nbsp; 3 oczka</td> <td style="width: 83px;height: 40px;">&nbsp; 4 oczka</td> </tr> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; 1 oczko</td> <td style="width: 82px;height: 40px;text-align: center;vertical-align: middle;"> (1,1) &nbsp;</td> <td style="width: 84px;height: 40px;text-align: center;vertical-align: middle;"> (2,1) &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> (3,1) &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> (4,1) &nbsp;</td> </tr> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; 2 oczka</td> <td style="width: 82px;height: 40px;text-align: center;vertical-align: middle;"> (1,2) &nbsp;</td> <td style="width: 84px;height: 40px;text-align: center;vertical-align: middle;"> (2,2) &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> (3,2) &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> (4,2) &nbsp;</td></tr></tbody></table>

liczba wyników: N =&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/3ffa844c2308538d17200418a22442522331c7a8906f233c2a5926d0c8b9bb01_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/3ffa844c2308538d17200418a22442522331c7a8906f233c2a5926d0c8b9bb01_big.svg" type="image/svg+xml"></object> &nbsp; liczba zdarzeń sprzyjających: n =&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/4a44dc15364204a80fe80e9039455cc1608281820fe2b24f1e5233ade6af1dd5_big.svg" type="image/svg+xml"></object> &nbsp; prawdopodobieństwo wybrania chłopca: p =&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/22e8a570e6673d5ec83f8931ec97a7e31605dfd1ad72c83dc6c9aa690d86dab1_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/22e8a570e6673d5ec83f8931ec97a7e31605dfd1ad72c83dc6c9aa690d86dab1_big.svg" type="image/svg+xml"></object> &nbsp; Odpowiedź: Prawdopodobieństwo wybrania chłopca wynosi&nbsp; <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/0b9db2ecfb8de65fb248232d099982a827055c98d6372e9b4e1fa81d98dc1cc2_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/0b9db2ecfb8de65fb248232d099982a827055c98d6372e9b4e1fa81d98dc1cc2_big.svg" type="image/svg+xml"></object> .

<table style="border-collapse: collapse;width: 430px;height: 182px;" border="1"> <tbody> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; &nbsp; &nbsp; &nbsp;II \ I&nbsp;</td> <td style="width: 82px;height: 40px;">&nbsp; 1 oczko</td> <td style="width: 84px;height: 40px;">&nbsp; 2 oczka</td> <td style="width: 83px;height: 40px;">&nbsp; 3 oczka</td> <td style="width: 83px;height: 40px;">&nbsp; 4 oczka</td> </tr> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; 1 oczko</td> <td style="width: 82px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/d02b5ba5c34b34dbcc44c971bd1e9ee12da04d573f9a8354930f910325e10149_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/d02b5ba5c34b34dbcc44c971bd1e9ee12da04d573f9a8354930f910325e10149_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 84px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/34e6f08aad18ac9868a9da1b5d2ad0bf2fabf191e92652264ecfc9bde7460695_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/34e6f08aad18ac9868a9da1b5d2ad0bf2fabf191e92652264ecfc9bde7460695_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/2039c2811a457633b0ea0a8e1485c5d230799cb39fd7051e606053c45c90e577_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/2039c2811a457633b0ea0a8e1485c5d230799cb39fd7051e606053c45c90e577_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/733296941b444fa6eb23a6889c7ab2e0ae01e4ceb04c5b4dc93232fbc449e0a0_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/733296941b444fa6eb23a6889c7ab2e0ae01e4ceb04c5b4dc93232fbc449e0a0_big.svg" type="image/svg+xml"></object> &nbsp;</td> </tr> <tr style="height: 40px;"> <td style="width: 82px;height: 40px;">&nbsp; 2 oczka</td> <td style="width: 82px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/cf4dabed2ce0f4fc293425d4063a8c54df5e1164a6d4a6d85712e0f491ea08c8_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/cf4dabed2ce0f4fc293425d4063a8c54df5e1164a6d4a6d85712e0f491ea08c8_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 84px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/9141880f8a0cebaec8813f9b25073e484d9a382a3849723c2c8a087ac131e52b_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/9141880f8a0cebaec8813f9b25073e484d9a382a3849723c2c8a087ac131e52b_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/f235c0d55f3014a39e092a0f1d0653888566c1cbee7b7d1247ecd4c374d87126_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/f235c0d55f3014a39e092a0f1d0653888566c1cbee7b7d1247ecd4c374d87126_big.svg" type="image/svg+xml"></object> &nbsp;</td> <td style="width: 83px;height: 40px;text-align: center;vertical-align: middle;"> <object class="math small" data="https://odrabiamy.pl/api/v3/math_formulas/2369e63b737143b0efefb4af5e1ae449cde7b88ec4e4bb29f31bb543334c20e5_small.svg" type="image/svg+xml"></object><object class="math big" data="https://odrabiamy.pl/api/v3/math_formulas/2369e63b737143b0efefb4af5e1ae449cde7b88ec4e4bb29f31bb543334c20e5_big.svg" type="image/svg+xml"></object> &nbsp;</td></tr></tbody></table>

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