Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer: $19.6
Step-by-step explanation:
Linear function: f(x)=mx+c
, where m= rate of change in f(x) with respect to x.
c = Initial value.
Let c = Initial value of card , m= Charge per minute
x= Number of minutes calling time.
Then, 25.06= 38m+c (i)
21.03=69m+c (ii)
Eliminate (ii) from (i)

Put m in (i) , we get

i.e. f(x)=-0.13x+30
if x=80 then
f(80)= -0.13(80)+30
=-10.4+30
=19.6
Hence, the remaining credit after 80 minutes of calls = $19.6
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Answer:
(7,42)
Step-by-step explanation:
Imput the 6x for the Y:
6x=3x+21
move the variable to the left
6x-3x=21
collect like terms:
3x=21
divide both sides by 3x and youll get this for X
x=7
Imput x=7 into the equation
Y=6x7
solve:
y=42
The value of the probability P(A and B) is 0.20
<h3>How to determine the
probability?</h3>
The given parameters about the probability are
P(A or B) = 0.9
P(A) = 0.5
P(B) = 0.6
To calculate the probability P(A and B), we use the following formula
P(A and B) = P(A) + P(B) - P(A or B)
Substitute the known values in the above equation
P(A and B) = 0.5 + 0.6 - 0.9
Evaluate the expression
P(A and B) = 0.2
Hence, the value of the probability P(A and B) is 0.20
Read more about probability at
brainly.com/question/25870256
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