A large bakery produces cakes in an assembly line. Sergio noticed a potential defect that seems to be showing in every other cake. He decides that in the next production run, he'll take a random sample of cakes to get a better
idea of how many cakes might have this defect.
Why might Sergio choose a simple random sample instead of a systematic random sample?

The system random sampling involves the introduction of a sampling interval during the sampling process. Hence, the use of a fixed interval is more likely to miss the potential defect noticed based on the sampling interval selected.

Therefore, with simple random sampling, Sergio stands a better chance of capturing the defect better than using systematic random sampling

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f(x)=4

step-by-step explanation:

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.