Pls help(ill mark brainlest)
1 answer:
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Answer:
The actual length of the lap = 250 meters
Step-by-step explanation:
∵ The scale factor of the map is 1:1000
∵ The length of the lap on the map is 25 cm
∴
Where x is the actual length of a lap
∴ x = (25 × 1000) ÷ 1 = 25000 cm
∵ 1 meter = 100 centimeter
∴ The actual length of the lap = 25000 ÷ 100 = 250 meters
I have an expression
floating around in my head; let's see if it makes sense.
The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is
That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:
Plugging in the numbers,
One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.
So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.