Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
If you cut 6 in half you get 3. If you cut 10 in half you get 5. Equaling 3/5.
I hope this helps!
The answer is 75. What I did to get my answer is divide 15 by 0.20
Answer:
C.
0.10(20,000) + 0.18(30,000) + 0.27(x − 50,000)
Step-by-step explanation:
Let's take this one step at a time. First, the $20000 dollars is taxed by 10% = .10 as a decimal. So the first term is
<u>.10(20000) </u>
Next, we have to add on the second term, wherein the next $30000 is taxed by .18. So the second term is
.10(20000) <u>+ .18(30000)</u>
Then, we have to take whatever's left, whatever we haven't yet taxed, and tax it at a 27% rate. This means x-50000, not x, because we're taking whatever's over the initial 50000 that we've already taxed.
0.10(20,000) + 0.18(30,000) <u>+ 0.27(x − 50,000) </u>
Answer:
One number is 4, the other is 11
Step-by-step explanation:
"The sum of two numbers is 15" can be written as
x + y = 15 where x is one number, and y is the other. Their sum is 15
"one number is 7 less then the other' can be written as
x = y - 7 x is one number that is 7 less than the other
Now we know x = y - 7. We can plug that into the first equation x + y = 15 and solve...
The first equation is now...
y - 7 + y = 15 ('x' is substituted for y - 7)
Now solve...
2y - 7 = 15 (combine like terms)
2y = 22 (add 7 to both sides to isolate the term with the variable)
y = 11 (divide both sides by 2 to isolate the variable)
If y = 11, then
x + 11 = 15 (the 'y' in the first equation becomes 11)
Then x = 4 (subtract 11 from both sides to isolate x)
