Simplify the following expression. -7x²-2+5x+13x² - 15x
1 answer:
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Answer:
0.6,0.7,0.3 neither disjoint nor independent.
Step-by-step explanation:
Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.
A= visa card
B = Master card
P(A) = 0.60 and P(B) = 0.40
P(AUB)' = 0.30
i.e. P(AUB) = 0.70
Or P(A)+P(B)-P(AB) =0.70
P(AB)= 0.30
Randomly select a student from the university.
1) the probability that this student does not have a MasterCard.
2. the probability that this student has either a Visa card or a MasterCard.
=
3. Calculate the probability that this student has neither a Visa card nor a MasterCard.
=
4. Are the events A and B disjoint? Are the events A and B independent?
A and B have common prob 0.30 hence not disjoint.
P(AB) ≠P(A)P(B)
Hence not independent
QUESTION 1
If a function is continuous at , then
Let us find the limit first,
As ,
,
and
Let us now find the functional value at
Since
, the function is continuous at
.
QUESTION 2
The correct answer is table 2. See attachment.
In this table the values of x approaches zero from both sides.
This can help us determine if the one sided limits are approaching the same value.
As we are getting closer and closer to zero from both sides, the function is approaching 2.
The values are also very close to zero unlike those in table 4.
The correct answer is B
QUESTION 3
We want to evaluate;
using the properties of limits.
A direct evaluation gives .
This indeterminate form suggests that, we simplify the function first.
We factor to obtain,
We cancel common factors to get,
The correct answer is D
QUESTION 4
We can see from the table that as x approaches from both sides, the function approaches
Hence the limit is .
See attachment
The correct answer is option A
