Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the

Response:

Step-by-step explanation:

To calculate 5% of our number, we start by multiplying by 0.05

Next, by adding and subtracting this 5% from our original number, we can find the minimum and maximum possible values of our final answer in the specified range.

We can ascertain that fits within the acceptable range, as:

Therefore, our final answer will be:

Answer:

For a clearer understanding, refer to the attached figure:

Step-by-step breakdown:

1. According to the unique line postulate, only one line segment can be created: BC

This is because a single line can only connect two distinct points.

2. Utilizing the definition of reflection, reflect BC across l.

To identify the line segment reflected over l, we will apply the reflection definition.

3. Based on the reflection definition, C remains as its own image and A represents the image of B.

The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.

4. Because reflections maintain length, we find that AC = BC

In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.

In a two-tailed test where the p-value stands at 0.0275, it indicates that with a threshold of 0.025, we should dismiss the hypothesis asserting equal proportion. This conclusion follows from p = 0.0275 in line with the guideline P-value < p.

Let's sketch the triangle.

The sides are a= 37.674 miles

b= 11.164 miles

c= 36.318 miles

We'll apply the cosine rule for angle calculations

(since the sine law cannot be employed without knowing any angle measurements).

The cosine law is given by

Substituting the values results in

C = 74.48°

We can find angle A using the sine law

A=

A = 87.38°

The third angle B can be determined by calculating 180° minus the sum of angles A and C

B = 180 - 161.86

B = 18.14°

Thus, we have calculated all three angles (as shown in the attached figure).

Part A: An attached stem and leaf plot is provided. A nonsplit system was applied for the stem and leaf plot to facilitate clearer analysis. Part B: The shape of the stem and leaf plot indicates an average rise in pulse rate of 20 beats across all 19 students post-exercise. There is minimal shape variation between the pre- and post-exercise plots, with only a small decrease of one in the third last row and an increase of one in the second last row of students. The distribution patterns were consistent in both scenarios, with the majority of students in the 60s range before exercise (7 students) and the 80s range after exercise (8 students). Step-by-step explanation: The provided data is as follows: 67, 87, 67, 88, 67, 89, 68, 89, 71, 91, 72, 93, 72, 93, 75, 95, 77, 96, 77, 97, 79, 98, 81, 98, 85, 101, 87, 105, 87, 105, 91, 119, 97, 125, 103, 125, 121, 147.