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xxMikexx [17]
3 years ago
8

Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas

e, an inflammation of the gums. Only 33% of healthy people have this disease. Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability. A. If someone has periodontal disease, what is the probability that he or she will have a heart attack
Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

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 P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

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The temperature on Monday was 1°C. The next day it was down 3 degrees. What temperature was it on tuesday ?
timofeeve [1]

Answer:

-3 degrees

Step-by-step explanation:

just subtract.

3 0
3 years ago
A number has 28 ones and 19 tens what is the number?
Pachacha [2.7K]
28 , 8 is your one, 2 is your tens. for the 19, 9 is your tens, and one is your hundreds so your answer is 318
7 0
3 years ago
The winner of a race ran the distance in 45s at an average speed of 9.6 m/s. The runner who came in last finished and 48 seconds
RSB [31]

Answer:

The answer to your question is speed = 9 m/s

Step-by-step explanation:

Data

Winner                                 Last runner

time = 45 s                           time = 48 s

speed = 9.6 m/s

Process

1) Calculate the distance they ran using the data of the winner

      speed = distance / time

-Solve for distance

      distance = speed x time

-Substitution

      distance = (9.6)(45)

-Result

      distance = 432 m

2.- Calculate the speed of the last runner

-Substitution

      speed = 432/48

-Result

     speed = 9 m/s

3 0
3 years ago
The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including
anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$

= 24 feet

a). So the rise of the roof is $= \sqrt{(26)^2-(24)^2}$  

                                         = 10 feet

b). Pinch of the roof is $=\frac{\text{rise}}{\text{run}}$

                                     $=\frac{10}{24}$

                                     $=\frac{5}{12}$

c). The percent of the roof used as overhung is

     $=\frac{4+4}{60}\times 100$

     $=\frac{80}{6}$

       = 13.33 %

8 0
2 years ago
The following function defines a recessive sequence:
irga5000 [103]
f(0)=-4\\f(1)=12\\\\f(n)=-3f(n-1)-2f(n-2)\\\\f(2)=-3f(2-1)-2f(2-2)=-3f(1)-2f(0)=-3\cdot12-2\cdot(-4)\\=-36+8=-28\\\\f(3)=-3f(3-1)-2f(3-2)=-3f(2)-2f(1)=-3\cdot(-28)-2\cdot12\\=84-24=60\\\\Answer:A)\ -4;\ 12;-28;\ 60;...
5 0
3 years ago
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