This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Hapa kuna suluhisho: a) Kokotoa alama ambazo Andrew alipoteza. Step 1: Kokotoa alama ambazo Andrew angepata kwa majibu yake sahihi bila makato yoyote. Andrew alijibu maswali 11 kwa usahihi, na kila jibu sahihi lina alama 5. Alama za majibu sahihi = 11 × 5 = 55 alama. Step 2: Linganisha alama alizopata na alama za majibu sahihi. Andrew alipata jumla ya alama 43. Alama alizopoteza = (Alama za majibu sahihi) - (Alama alizopata) Alama alizopoteza = 55 - 43 = 12 alama. Alama ambazo Andrew alipoteza ni: 12 alama b) Tafuta idadi ya alama zilizokatwa kwa kila jibu lisilo sahihi. Step 1: Kokotoa idadi ya majibu yasiyo sahihi. Jumla ya maswali = 15. Majibu sahihi = 11. Majibu yasiyo sahihi = (Jumla ya maswali) - (Majibu sahihi) Majibu yasiyo sahihi = 15 - 11 = 4 majibu. Step 2: Tumia jumla ya alama zilizopotea kutoka sehemu (a) na idadi ya majibu yasiyo sahihi. Jumla ya alama zilizopotea = 12 alama (kutoka sehemu a). Step 3: Kokotoa alama zilizokatwa kwa kila jibu lisilo sahihi. Alama zilizokatwa kwa kila jibu lisilo sahihi = Jumla ya alama zilizopoteaIdadi ya majibu yasiyo sahihi Alama zilizokatwa kwa kila jibu lisilo sahihi = (12)/(4) = 3 alama. Idadi ya alama zilizokatwa kwa kila jibu lisilo sahihi ni: 3 alama Umebakisha maswali 2 leo — tuma linalofuata.