Answer:
Step-by-step explanation:
- A circle's equation consist on the following expression: , where r is the magnitude of the radio, and (a,b) are the coordenates of the center of the circle.
- In this case, a=2 and b= - 3, because the circle is centered in (x,y)=(2, - 3).
- The radio, which is the distance between the center of the radio to any point in its border, equals r=2 (because of the scale of the graphic, in this case two squares of the grid equal 2 units, then r=2).
- Finally, using the previous information to replace in the equation , where the fact that r=2 and was used.
Answer: C) angle 2 and angle 7
Imagine the parallel lines form the boundaries of river. Angles 3, 4, 5 and 6 are considered interior angles as they are in the river. Angles 1, 2, 7, 8, 9 and 10 are exterior because they're outside the river.
Angles 2 and 7 are on opposite sides of the transversal cut that I've highlighted in red (see diagram below). So that's why they're considered alternate. Combine "exterior" and "alternate" to get "alternate exterior"
Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score :
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value :
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
Answer:
6802
Step-by-step explanation:
Number of liberaries = 8950
76% offered free acces to ebooks.
How many offered access to ebook = 76% / 100% x 8950
= 0.76 x 8950
= 6802