Using a significance level of 5% the appropriate conclusion for a test with a p-level of 0.0421 would be:

Tested outcome (difference) is significant.

Step-by-step explanation:

The significance level of 5% (more typically referred to as 95%) corresponds to saying that if an observation at hand is (only) 5% or less likely to have been generated by chance, then it will be accepted as significant. In this example, the p-level (which is the actual probability of the observation being generated by chance) is lower than 5% (0.0421<0.05) and therefore a conclusion can be made that the observed outcome is significant.

An example of an outcome being significant could a drug improving patients's condition in a clinical study.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it