Rational functions of the form
f(x)= polynomial in x / another polynomial in x
See example plot attached.
f(x)= polynomial in x / another polynomial in x
See example plot attached.
Ambry ran a 3.1-mile race in 18 minutes.
1 answer:
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Answer:
SAA theorem
Step-by-step explanation:
The given data with regards to ΔLET and ΔPVC are;
ET ≅ VC
∠L ≅ ∠P
∠E ≅ ∠V
From the given relationship, we have that two angles and the adjacent (nonincluded) side to the two angles in ΔLET are congruent to the corresponding two angles and adjacent (nonincluded) side of ΔPVC
Therefore, the congruence theorem that can be used to prove that the two triangles are congruent is the Side-Angle-Angle (SAA) congruency theorem
The SAA congruency theorem states that, two triangles that have two angles and a nonincluded side on one triangle being congruent to the corresponding two angles and a non included side on the other triangle, then the two triangles are congruent.
Answer:
A) There are 12 elements in the sample space.
B) The required probability is 1/4 or 0.25.
C) Yes, the events are mutually exclusive.
Step-by-step explanation:
Consider the provided information.
Part(A)
An experiment consists of first rolling a die and then tossing a coin.
Thus the sample space is:
(1,H), (2,H) (3,H) (4,H) (5,H), (6,H)
(1,T), (2,T) (3,T) (4,T) (5,T), (6,T)
Hence, there are 12 elements in the sample space.
Part(B) Let A be the event that either a 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.
Now consider the above sample space. There are 3 possible case in which 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.
i.e (2,H) (3,H) (4,H)
The required probability is: P(A)=
Hence, the required probability is 1/4 or 0.25.
Part(C)
Mutually exclusive, means that they cannot occur at the same time.
From part (B) Event A = (2,H) (3,H) (4,H)
Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss.
Thus, the Event B = (1,H).
Therefore, Event A and B can't be occur at the same time as P(A and B)=0.
Hence, yes, the events are mutually exclusive.