People arrive at a college admissions office at rate 1 per minute, and the arrival is a Poisson process. When k people have arri

Angles known as vertical angles are those that are located across from each other at a common vertex where two lines intersect.

In the illustration, there exists only one pair of vertical angles.

These are Angle TSW and Angle ISN, both converging at the vertex labeled S.

<span>Answer is: B. Angle ISN and Angle TSW.</span>

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

• A transformation where the image retains the same shape as the original but differs in size.

• Dilation maintains the order of points.

•  Measurements of angles remain unchanged.

Translation:

• A transformation that keeps the image identical in size and shape to the original.

• Translation preserves the ordering of points.

• The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.:

Sample size:

Mean:

Standard deviation =

Let x represent a binomial variable.

Referencing the standard normal distribution table,

(1)

Z score for normal distribution:-

For x=4

For x=3

Thus, from (1)

Consequently, the likelihood of four students being absent =

1. Calculate 10% of 250 (250 × 0.10 = 25)
2. Subtract that from 250 (250 - 25 = 225)
3. Then find 16% of 225 (225 × 0.16 = 36)
4. Add 225 and 36 to get 261
5. Therefore, the target number of consumers retained is 261

Answer:

The total capacity of the tank is 14 1/2 gallons or 29/2.

The size of bucket is 1 1/4 gallons, equal to 5/4.

The expression representing this situation can be

29/2 divided by 5/4.

Therefore, the number of buckets applied equals 29/2 multiplied by 4/5.