A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right
, or diagonally upwards. How many different paths can be traced from A to B?
1 answer:
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Answer:
a) P=0.8
b) P=0.67
c) P=0.05
d) P=0.33
e) P=0.45
Step-by-step explanation:
a. What is the probability that the household has only a cell phone and has high-speed Internet?
This probability is stated in the question: "Suppose of U.S. households having only a cell phone, 80% have high-speed Internet", so the probability is P=0.8.
b. What is the probability that the household has only a cell phone or has high-speed Internet?
This probability is equal to the sum of the probability of having only a cell phone and the probability of having high-speed internet, less the probability of having both (to avoid counting this household twice).
c. What is the probability that the household has only a cell phone and does not have high-speed Internet?
This is equal to the probability of not having high-speed internet given that it has a cell phone (complementaty of the proability of Point (a)) multiplied by the probability of having a cell phone.
d. What is the probability that the household does not have just a cell phone and does not have high-speed Internet?
This probability is complementary of the one calculated in Point (c).
e. What is the probability that the household does not have just a cell phone and does have high-speed Internet?
This is equal to the probability of having high-speed internet less the probability it has both (cell phone and internet).
The pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
What are Alternate Exterior Angles?
Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.
Thus, in the image given, we have the following alternate exterior angles:
∠2 and ∠8
∠1 and ∠7
Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
the complete question is
Which angle are a pair of alternate exterior angles
A. Angle 4 and angle 6
B. Angle 3 and angle 6
C. Angle 2 and angle 8
D. Angle 1 and angle 5
Learn more about alternate exterior angles :
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