The plans of a building are drawn to a scale of 1 : 150. (a) Find the actual length, in metres, represented by 42 cm on the plan. [1]
(b) The actual length of the diagonal of a hall is 33 m. Find its length, in cm, on the plane
Kindly send the calculations too

(a).

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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;