Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
95% of 3%(positive)4% of 100 - 3 = 97%(not positive).Hence:
[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at https://brainly.com/question/14398287
[tex]5/12 + 11d/12 - 3 = 3d + 7 - 4d.[/tex]
PLEASE HELP!!
Add 1, multiply by 2. 2 First
Answer:
2+1×2=6
6+1×2=14
14+1×2=30
And so on
In the base ten number 4325 , how many times
greater than the value represented by the digit 2 is the value represented by the digit 4 ?
Using the concept of place value, the digit 4 is 200 times greater than the digit 2.
Given the number :
4325The digit 2 is in the tens place = 2 × 10 = 20
The digit 4 is in the thousand place = 4 × 1000 = 4000
The number of times greater can be obtained thus :
4000 / 20 = 200Hence, the digit 4 is 200 times greater than the digit 2.
Learn more : https://brainly.com/question/14760328
Find the length of PQ.
PLEASE HELP WITH THIS ONE QUESTION
FACTOR THE FOLLOWING COMPLETELY:
evaluate the expression 5+3
some one answer me with a question not a link
Answer:
8
Step-by-step explanation:
Add 5 and 3
-Lexi
Use the table below to answer the following question,
2:
хо 1 2 3 4 5 6
y 100 200 400 800 1,600 3,200 6,400
Which equation BEST fits the data given in the table?
se 3:
Of(x) = { (200)*
Of(x) = 100(2)*
uge 4
f(x) = 200)
age 5
Of(x) = 200(2)*
5
Previous Page
Next Page
Page 2 of 11
Answer Of(x) = 200(2)
Step-by-step explanation:
Of(x) = 200(2)
help pls ill give brainly
Answer:
Find the Diameter!
To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)
For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.
Answer:
I think the other guy is correct I'm just putting this here so you can give him/her brainliest
Step-by-step explanation:
A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation. Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Answer:
Step-by-step explanation:
let x be the number of ADDITIONAL throws
(12 + x) / (15 + x) = 0.85
12 + x = 0.85(15 + x)
12 + x = 12.75 + 0.85x
0.15x = 0.75
x = 5 more successful consecutive throws. or 17 out of 20
In △ABC, m∠A = 75° and m∠C = 20°, What is m∠B?
Answer:
30 degree ok please make me brainliest
Answer:
∠ B = 85°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , that is
∠ A + ∠ B + ∠ C = 180° , substitute values
75° + ∠ B + 20° = 180°
∠ B + 95° = 180° ( subtract 95° from both sides )
∠ B = 85°
The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?
Answer:
x-coordinate of the vertex: h = 6.
Step-by-step explanation:
The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts. The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.
In the standard form of quadratic equation, y = ax² + bx + c:
[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]
In the vertex form of quadratic function, y = a(x - h)²+ k:
[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]
Hence, the axis of symmetry is the point where x = h.
Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.
Convert the improper fraction below to a mixed number. 13/4
Answer:
3 1/4
Step-by-step explanation:
solve the literal equation a + 4b = 5b - 3a for a
HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______
Answer:9,59,68
Step-by-step explanation:
Just got it right
Describe how the point-slope formula is useful when writing the equation of a trend line
Step-by-step explanation:
if you observe the graph the y values increase as the x value increase.
so it has a possitive association.
if the value of y increase as the value of the x increase then data has positive association.
AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?
Answer:
x ≈ 4.239
Step-by-step explanation:
A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.
__
Additional comment
The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.
Month. Revenue. Expenses
1. $740 $3,010
2. $995 $2,850
3. $1,200 $2,700
4. $1,500 $2,490
5.
Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.
Week 8
Week 6
Week 5
Week 7
Julie withdrew $64 from her savings account. After the withdrawal she has $127. How much money did julie have before she made the withdrawal?
Answer:
191
Step-by-step explanation:
All you have to do is 127+64 to get the total before the withdrawal.
How can you prove a triangle is a right triangle? (4 points)
a
Use the distance formula to see if at least two sides are congruent.
b
Use the slope formula to see if any sides are perpendicular.
c
Use the distance formula to see if all three sides are congruent.
d
Use the slope formula to see if any sides are parallel.
Answer:
a
Use the distance formula to see if at least two sides are congruent.
Step-by-step explanation:
If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle
Solve −3x2 + 30x − 90 = 0
Step-by-step explanation:
so, it is a quadratic equation :
-3x² + 30x - 90 = 0
the first thing we can do is divide by 3
-x² + 10x - 30 = 0
remember, the formula to solve and find the 2 solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = -1
b = 10
c = -30
x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =
= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =
= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =
= 5 ± -sqrt(5)i
x1 = 5 - sqrt(5)i
x2 = 5 + sqrt(5)i
remember, i = sqrt(-1), a complex number.
George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten
Answer: 5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
1/4=2/8
2/8+3/8=5/8
Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3
value: 12
What is the value of ?
T
80°
25°
R
?
P
PLEASE
9514 1404 393
Answer:
105°
Step-by-step explanation:
The exterior angle marked "?" is equal to the sum of the remote interior angles:
? = 25° +80°
? = 105°
A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?
Answer:
yes...
Step-by-step explanation:
k
Dimensional analysis
Answer:
On the LHS:
Frequency is measured in rad/s, or [tex]s^-^1[/tex];.
On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.
[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]
what is the area of the triangle?
HELP ASAP DUE IN 5 MIN I WILL GIVE 15 POINTS QND MARK BRAINLIEST DO NOT SPAM As a kitten, Mittens weighed 2 3/4 pounds. At his 6-month check-up with the vet, Mittens weighed 6.5 pounds. How much weight did Mittens gain between the time he was a kitten and his 6-month check-up? Enter your answer as a decimal or simplified mixed number in the box.
Answer:
3.75
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
Hope this helps
Have a great and blessed day :)
which one of the congruency statements are true?
Answer:
line segment BC=line segment XY
Step-by-step explanation:
The last choice :)
(7 x 10^-6)(7 x 10^-6) pls help <:D
we have (7 x 10^-6)(7 x 10^-6) = (7 x 10^-6)^2 = 49 x 10^-3 = 0.049
ok done. Thank to me :>
(I am giving branlest) (plz help only if you understand )
Solve five ninths plus four sixths.
sixty six fifty fourths
ten fifteenths
nine tenths
thirty ninths
Answer:
hey mr. one eyed ghoul
Step-by-step explanation: