Answer:
1. B
2. 2 and 1/8 cups
Step-by-step explanation:
You just had to make common denominators and then your would subtract
Answer:
37.27% probability that he or she will have a heart attack.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Periodontal disease
Event B: Heart attack
Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.
This means that 
Only 33% of healthy people have this disease.
This means that 
Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.
This means that 
If someone has periodontal disease, what is the probability that he or she will have a heart attack

37.27% probability that he or she will have a heart attack.
It is number 3. Have a good day.
Answer:

Step-by-step explanation:
arithmetic sequence formula: 
where
is the first term and
is the common difference
Given:
⇒ 
⇒ 
Given:

⇒ 
⇒ 
Rearrange the first equation to make
the subject:
a = 32 - 9d
Now substitute into the second equation and solve for 
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of
into the first equation and solve for
:
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is: 
48 miles/4hrs = 12 mph
Increased Speed 12 mph + 8mph = 20 mph
Distance left 108 miles - 48 miles = 60 miles
Time left 60 miles/20 mph = 3 hours