Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th
1 answer:
Answer:
procedure always produces 6
Step-by-step explanation:
Let 'n' be the unknown number
Add 4 to the number : n+4
multiply the sum by 3.
multiply the sum n+4 by 3
Now subtract 6, so we subtract 6 from 3n+12
finally decrease the difference by the tripe of the original number
triple of original number is 3n
so the procedure always produces 6
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Answer:
The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Step-by-step explanation:
According to the rational root theorem:
if and
are non zero then each rational solution x will be:
x= +/- Factors of / Factors of
In the given polynomial we have:
66x4 – 2x3 + 11x2 + 35
= 35
= 66
Therefore,
x= +/- Factors of 35/ Factors of 66.
Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....
Answer:
3. What is the probability that an adult selected at random has both a landline and a cell phone?
A. 0.58
4. Given an adult has a cell phone, what is the probability he does not have a landline?
C. 0.3012
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that an adult has a landline at his residence.
B is the probability that an adult has a cell phone.
C is the probability that a mean is neither of those.
We have that:
In which a is the probability that an adult has a landline but not a cell phone and is the probability that an adult has both of these things.
By the same logic, we have that:
The sum of all the subsets is 1:
2% of adults have neither a cell phone nor a landline.
This means that .
73% of adults have a landline at their residence (event A); 83% have a cell phone (event B)
So .
What is the probability that an adult selected at random has both a landline and a cell phone?
This is .
We have that . So
By the same logic, we have that:
.
So
So the answer for question 3 is A.
4. Given an adult has a cell phone, what is the probability he does not have a landline?
83% of the adults have a cellphone.
We have that
25% of those do not have a landline.
So
The answer for question 4 is C.