Q.1 Students of a school staged a cleanliness campaign. They walked through the lanes AB, BC and CA which form a triangle. Construct a replica of triangular lane ABC in which side BC = 8cm, LB = 450 and AB – AC = 3.5cm. Q.2 An architecture student is making a replica of a triangular park PQR of dimensions QR = 7cm, LQ = 750 and PQ + PR = 13cm. Construct the replica using scale and compass.

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a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.