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
Given the system of equations presented here:
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.
Answer:
yep its D
Step-by-step explanation:
Answer:
D Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Answer:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
y = 4
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
find the length of fencing required to go all the way around the rectangular field that is 136000mm wide and 425m long
What is the next number in the pattern
8.72, 8.52, 8.32 …
Answer:
3333
Step-by-step explanation:
3333
Answer:
8.12
Step-by-step explanation:
Because 0.20 is reduced after each number
8.72-0.20= 8.52
8.52-0.20=8.32
8.32-0.20=8.12
Time went scuba diving and descended at a rate of 35 feet every 20 min. If Tim was diving from 11:00AM to 12:00PM. What was Tim's altitude at 11:40AM?
Answer:
70 feet
Step-by-step explanation:
35 x 2 = 70
g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?
By definition of the [tex]\ell_p[/tex] norm,
[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]
[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]
[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]
and so x and y are closest together with p = infinity and furthest apart with p = 1.
Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm
Answer:
Volume of solid = 5 cm * 1 cm * 6 cm = 30 cm³
Step-by-step explanation:
The formula for volume of solid = Length * Width * Height
how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18
Given: f(x)= 3x-7 for x>0
f(x)=-2x+3 for x<0
Find: f(6)
Answers:
11
-9
-3
-18
Given :
f(x) = 3x-7 , when x>0
and f(x) = -2x+3 x<0
as 6 is greater than 0, we get that :
f(6) = 3(6)-7
=> f(6) = 18-7
=> f(6) = 11
hence, option a) is correct
The value of f(6) is 11 using the equation f(x)= 3x-7.
To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.
Substituting x = 6 into the equation:
f(6) = 3(6) - 7
f(6) = 18 - 7
f(6) = 11
Therefore, the value of f(6) is 11.
To know more about value, refer here:
https://brainly.com/question/13033012
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What is the principal amount if the interest rate is 3.5% a year and the amount of interest is 183.75 for 21 months?
The principal amount if the interest rate is 3.5% a year is equal to $3000.
Given the following data:
Interest rate = 3.5%Simple interest = $183.75Time = 21 monthsConversion:
12 months = 1 year
21 months = 1.75 year
To calculate the principal amount if the interest rate is 3.5% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 183.75}{3.5 \times 1.75}\\\\P = \frac{18375}{6.125}[/tex]
Principal amount, P = $3000
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what is the best estimate of 97/7 and 1 3/4
Answer:
next question nexy question
A line is defined by the equation Y=2/3x-6 the line passes through a point whose y coordinate is 0 what is the x coordinate of this point
Answer:
x = 9
Step-by-step explanation:
y = (2/3)x - 6
y coordinate is 0
0 = (2/3)x - 6
Add 6 to both sides
6 = (2/3)x
multiply both sides by 3/2
9 = x
x = 9
A
Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x
Answer:
Step-by-step explanation:
5 x 6:30
Steve drives at a constant speed of 59.3 mph. How far should he expect to drive in 7/8 hr?
Answer:
51.9 miles
Step-by-step explanation:
distance = speed * time
d = 59.3 * 7/8
d = 51.8875 miles
rounded
51.9 miles
translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a number is 11
Answer:
I think it'll be 5 + n = 11
11 - 5 = 6
n = 6
Answer:
Below in bold.
Step-by-step explanation:
Let the number be n, then:
5 + 1/2n = 11
1/2n = 11 - 5
1/2n = 6
Multiply both sides of the equation by 2:
n = 12.
Pls due now I will give brainliest if right
Answer:
(-2,1)
Step-by-step explanation:
i graphed it ..its right
Explanation:
The graph is shown below.
The line y = 2x+5 goes through (0,5) and (1,7).
The line y = (1/2)x+2 goes through (0,2) and (2,3)
The two lines intersect at exactly (-2, 1) which is the solution to the system.
jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?
Work Shown:
7.5% = (7.5)/100 = 0.075
7.5% of $1580 = 0.075*1580 = 118.50
Please help with this
==========================================
Explanation:
A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.
B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.
C) This is true. We have 2 cups of white and 4 cups of green.
D) False. There are 6 cups total, but only 2 white (not 4).
E) True. This is a verbal way of describing the ratio 4:2, of green to white.
F) False. The ratio is the other way around. See choice E.
G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.
H) True. We have 2 cups of white and 2+4 = 6 cups total.
Which of the following is not a question to ask to determine the reasonability of a solution?
A. Do the units match what is given in the word problem?
B. Does the answer match what the question is asking for in the problem?
C. Does the numerical answer match up with the correct variable?
D. Is the magnitude of the numeric portion of the answer within an expected range?
Answer:
D IS THE ANSWER
Step-by-step explanation:
HOPE IT HELPS
name the parts mentioned in the figure below
please answer this
Answer:
O - point
CD- chord
AB- diametre
I dont know PO sorry
Answer:
O is the center.
AB is the diameter.
OP is a radius.
CD is a tangent.
By the way the combination of letters is the two points that it relates too.
Step-by-step explanation:
hope this helps. . .<3
Choose the equation that is best represented by the graph.
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3
There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?
Answer:
N=29.28.27=29484
(sorry if this didn't help)
Step-by-step explanation:
What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet
Answer:
21ft^2
Step-by-step explanation:
A=LW
A= 3ft x 7ft
A=21ft^2
let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
P = number of primes less than 100Q = number of primes less than 90Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
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Question: • What is the slope?
• What is the y-intercept?
HELP!!!!
Which situation best represents the equation below?
A. each day, 2.5 inches of water evaporates from the experiment.
B. Two cartons of eggs ring up at the register for $2.50.
C. A bank account is opened with a balance of $5, and $2.50 is deposited each day.
D. John is 2.5 times as big as his brother Sam.
Answer:
c
Step-by-step explanation:
4(2x - 1) + 3(2x + 5)
Answer:
14 x + 11Step-by-step explanation:
4*(2x - 1) + 3*(2x + 5) =
8x - 4 + 6x + 15 =
14 x + 11
1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)
im not sure on the full awnser.
74%, 3/4, 0.76 on a number line
Answer:
Step-by-step explanation:
you just graph it
The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?
Answer:
30 %
Step-by-step explanation:
Assumption: the increase is to be expressed as a percentage of 10.
We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.
In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.
However, 1 comes in many forms.
3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.
So 30 100 → 30 %