Find the mode(s) for the given sample data.

the weights (in ounces) of 14 different apples are shown below.
4.9, 4.6, 5.1, 4.2, 4.8, 4.9, 4.6, 4.3, 4.1, 4.2, 4.9, 4.3, 4.2, 5.4

4.9 & 4.2

Step-by-step explanation:

First, we will have to define mode,

“Mode is the most frequently occurring value of the given data.”

The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.

For the above data,

4.9 is repeated 3 times.

4.2 is repeated 3 times.

These both numbers have highest frequency in the data.

So the modes are 4.9 and 4.2 ..  

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