ndamugoba ivan
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STATISTICS 1
In
Kiswahili test the following marks were recorded. marks 10-19 20-29 30-39 40-49 50-59 60-69 No. of students 3 7 14 8 5 3 Calculate
the mean. Solution Here you
are required to produce the frequency distribution table. Class
interval Class
mark (x) Fre...
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PROBABILITY 2
The
probability that it will rain tomorrow is 8 /47. Find the probability
that it won’t rain. Solution Let P(E)=
probability that it will rain.       P(E’) = probability that it won’t
rain. Let
P(E)=  8 /47
P(E’) = ? P(E)
+ P(E’) = 1 8 /47   + P(E...
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A. PROGRESSION 1
Find
the sum of the 1st 20 terms of the following arithmetic progression:
5+11+17+………………… Solution d=6,
A 1 = 5,n=16 S n = n [2A 1 + (n-1)d]
2 S 20 = 20 [2(5) + (20-1)d]
2 S 20 = 10[10 + 19d]   S 20 = 8[10 + 19(6)]       since d=6 S 20 = 8[1...
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WORD PROBLEMS 3
Wema, Kim and Fred shared 1200
sweets such that Wema got 20 sweets less than Kim while Fred got three as much
as what Ana got. Find those given to Fred. Solution The starting point is Kim. Let the
sweets given to Kim be x. See the table below: WEMA KIM FRED...
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LOGARITHMS 10
If log 2= 0.3010; find the value of log 500,000 without
using tables. Solution =log500,000 =log(1,000,000 ÷2) =log1,000,000 –log2 = log10 6 - log2 = 6log10 - log2 =(6 x 1) - (0.3010) = 6  -  0.3010 =5.699 Hence
log500,000=5.699 TRY THIS…………… If log 2= 0.301...
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INEQUALITIES 4
When 7 is subtracted from twice a certain number, the result is
greater than 39. Find the number. Solution Let the number be w. 2w – 7 > 39 2w > 39 + 7 2w > 46 2 w
>  46 2        2 w > 23 answer TRY THIS……………………………   When 30 is subtracted from thrice a cert...
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LOGARITHMS 9
Simplify Log 2 1024 – Log 5 3125
– Log 6 216. Solution = Log 2 1024 – Log 5 3125
– Log 6 216 = Log 2 2 10 –
Log 5 5 5  – Log 6 6 3 = 10Log 2 2 – 5Log 5 5 – 3Log 6 6  because Log a a n =   nLog a a = (10 x 1) – (5 x 1) – (3 x 1)     = 10 – 5 – 3 = 10 – 8    ...
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WORD PROBLEMS 2
The difference between two numbers is 10 and their sum is 680.
Find the two numbers. Solution Let the two numbers be x and y. x – y = 10 ----------- (i) x +y = 680. ----------(ii) =========================== From (i)  x – y = 10 x = 10+ y -------------- (...