The probability that Emma has heart disease is 0.6. She decides to take a test for the disease that is 80% accurate. What is the probability that Emma has heart disease and the test predicts heart disease?
Answers
Answer:
The probability that Emma has heart disease and the test predicts heart disease is:
48%
Step-by-step explanation:
Let A denote the event that Emma has a heart disease.
and B denote the event that the test predicts accurate.
Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.
From the given equation we have:
P(A)=0.6
and P(B)=80%=0.8
As we know that event A and event B are independent.
Hence, we have:
P(A∩B)=P(A)×P(B)
⇒ P(A∩B)=0.6×0.8
⇒ P(A∩B)=0.48=48%
Hence, the probability is:
48%
Related Questions
What the answer I don’t know it
What is the slope of the line that passes through the points (-1,-10) and (-1,-2)? Write your answer in simplest form.
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Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6
B.SECOND QUARTER
C.THIRD QUARTER
D.FOURTH QUARTER
HELP NOW 10PTS AND A CHAT!
Answers
Answer:
c
Step-by-step explanation:
Answers
f(x)= -99.4x + 198.8
f(1) = -99.4*1 + 198.8 = 99.4
f(2) = -99.4*2 + 198.8 = 0
f(3) = -99.4*3 + 198.8 = -99.4
f(4) = -99.4*4 + 198.8 = -198.8
Answer: B
f(n+1)=f(n)-99.4, n 1
Step-by-step explanation:
The recursive formula can be written using the common difference.
x – 4y = 2
4x – y = 8
4x – y = 2
Answers
Answer:
Option A is correct.
x – 4y = 8
Step-by-step explanation:
Using point slope form:
The equation of line is given by:
....[1]
where, m is the slope.
As per the statement:
The point passes through the line are:
(-4, -3) and (12, 1)
Using Slope(m) formula:
Substitute the given values we have;
Substitute the value of m and (12, 1) in [1] we have;
Multiply both sides by 4 we have;
Add 4 to both sides we have;
⇒
Multiply both sides by -1 we have;
⇒
Therefore, the standard form of the equation for this line is, x – 4y = 8
slope(m) = (1 - (-3) / (12 - (-4)
slope(m) = (1 + 3) / (12 + 4)
slope(m) = 4/16 = 1/4
y - y1 = m(x - x1)...using (12,1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
y = 1/4x - 3 + 1
y = 1/4x - 2
-1/4x + y = -2...multiply by -4
x - 4y = 8 <=== here it is
Answers
We know that 3 cars yielded $13.50
$13.50 / 3 = $4.50 / 1 car
$4.50 * 12 cars = $54.00
$4.50 * 15 cars = $67.50
$4.50 * 20 = $90.00
A. x = 4
B. x = 5
C. x = 6
D. x = 25
Answers
24=5x-1
2) add 1 to both sides
25=5x
3)divide by 5 to find x
x=5
B) x = 5