A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a school makes a random purchase

I affirm that all of these statements are correct.

The equation that demonstrates a proportional relationship, maintaining a constant of proportionality equal to 14, is: Here,  and are proportional with a constant of proportionality of 14.

Part A:

The probability that all three strangers have their birthdays on a Wednesday is calculated as





Part B:

The probability that the birthdays of the three individuals fall on distinct days throughout the week is calculated as





Part C:

The probability that none of the three have their birthdays on a Saturday is determined by

Response:

Congruent:  (x, y)→(x+3, y-4); (x, y)→(-x, -y)

Not Congruent:  (x, y)→(3x, 3y); (x, y)→(0.4x, 0.4y); (x, y)→(x/3, y/3)

Explanation in steps:

Transformations that yield congruent figures include translations, reflections, and rotations. In contrast, dilations result in figures that are not congruent.

The first transformation, (x, y)→(x+3, y-4), represents a translation 3 units right and 4 units down, leading to congruent figures since it merely shifts the figure.

The second transformation, (x, y)→(3x, 3y), indicates a dilation by a factor of 3, which enlarges the figure and therefore makes it non-congruent.

The third transformation, (x, y)→(0.4x, 0.4y), involves a dilation by a factor of 0.4, which shrinks the figure, leading to non-congruence.

The fourth transformation, (x, y)→(x/3, y/3), results in a dilation by a factor of 1/3, also shrinking the figure and rendering it non-congruent.

The fifth transformation, (x, y)→(-x, -y), reflects the figure, maintaining its size while modifying its orientation, thus ensuring congruence.

The addition of the numbers can be done in any sequence.Step-by-step explanation:When determining the total time Colin spent traveling from home to the hotel, the sequence in which the numbers are added does not matter, since time is a scalar quantity that cannot be negative.A scalar quantity possesses only magnitude, without regard to direction. For instance, while temperature can be either positive or negative, time can only be positive, affirming its status as a scalar quantity.