The horizontal beams are what I like to think of as "rail road tracks". The metal portion of the tracks anyway. Notice how angle 2 and angle 8 are inside the tracks, so we consider them "interior angles"
Furthermore, they are on opposite or alternate sides of the transversal line. The transversal line is the non-parallel line that cuts through the "rail road tracks".
Put those two facts together and we get "alternate interior angles" as our final answer
The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
- 75 = 100
- 26 = X
- 26 x 100/75 = X
- 34.66 = X
- 34.66 x 0.95 = 32.93
- 34.66 x 1.05 = 36.40
-
60 = 100
- 26 = X
- 26 x 100/60 = X
- 43.33 = X
- 43.33 x 0.95 = 41.16
- 43.33 x 1.05 = 45.50
-
45.50 - 32.93 = 12.57
- 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Learn more about maths in brainly.com/question/25989509
Answer:
10 minutes
Step-by-step explanation:
To solve this , we need to first calculate the volume of the rectangular prism. Let’s say this is V.
Mathematically, V = w h l where w, h and l are width , height and length respectively.
V = 20 * 18 * 10 = 3600 in^3
Now to get the number of minutes, we divide the volume by the draining rate.
That would be 3600/360 = 10 minutes
ANSWER
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EXPLANATION
We want to find the slope of a line that is perpendicular to the line y = 1
The line y=1 is parallel to the x-axis.
In other words, the line y=1 is a horizontal line.
The line perpendicular to y=1 is a vertical line.
The slope of a vertical line is undefined