TMA02 MU123.pdf - Colin Hyde PI NUMBER H8127829 MU123 TMA02...

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Colin Hyde PI NUMBER H8127829 MU123 TMA02 QUESTION 1 (ai) The prime factor of 5040 is 2x2x2x2x3x3x5x7 Factor tree 5040 2 2520 2 1260 2 630 2 315 3 105 3 35 5 7 (ii) 5 6 3 8 + 11 12 = 20−9+22 24 = 33 24 = 11 8 (iii) 7 √5 √35 + √63 = 7 √5 √7×5 + √3 × 3 × 7 = 7 √7 + 3√7 = √7 + 3√7 = 4√7
So, the answer in the simplest form is 7 √5 √35 + √63 = 4√7 (bi) 𝑇ℎ? ???????? 𝑤ℎ? ??𝑘? ?ℎ? ???? 𝑇ℎ? ???????? 𝑤ℎ? ??? ?????? = 300 48 = 150 24 = 25 4 The ratio of the number of students who take the test and the number of students who are absent is 25 4 (ii) Only 300 students were takin the test so, the number of students obtaining grades A, B, C, and D, are in ratio 4:9:5:2 Hence, the number of students who obtained A grade is 4 20 𝑥300 = 60 B grade is 9 20 𝑥300 = 135 C grade is 5 20 𝑥300 = 75 D grade is 2 20 𝑥300 = 30 So, the total number of students who take part in the exam is 300 (c) Novak Djokovic played for 16 hours 27 minutes and he won £2.237000 He played for 16 hours 27 minutes (16+ 27 60 ) = 16.45 hours 27 minutes=16.45x60=987minutes £2.237000 pounds he played a total of 987 minutes Every 1 pound he played= 987 2.237000 = 441.21591417 Ordinary notation 0.000441 minutes (3 s.f)
Scientific notation 137x10^5 (3 s, f) (ii) Novak played for 16 hours and 27 minutes he won 2.237000. So, every 1 hour he won= 2.237000 16.27 = 0.137,492,3171 Ordinary notation=137 pounds (3 s.f) Scientific notation=137x10^5 (3 s.f) QUESTION 2 (ai) (aii) As the data is collected by the researcher himself after running the code 15 times on both the software’s therefore this collection method is primary data

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