a) Explain...
b) What is the probability that a person without HIV will have a test come out positive?
c) What is the probability that a person with HIV will have a test come out negative?
d) What is the probability that a person with HIV will have a test come out positive?
Answers
a) The cell corresponding to a positive diagnosis when the
person has antibodies present as well as the cell for a negative diagnosis when
the person has no antibodies present are the cells representing a CORRECT
diagnosis.
The cell corresponding to a negative diagnosis when you
actually have antibodies present is called a FALSE NEGATIVE and is considered
as a TYPE II error.
The cell corresponding to a positive diagnosis when you
actually don't have antibodies present is called a FALSE POSITIVE and is considered
as a TYPE I error.
For the tree diagram for the questions below, refer to the
picture attached.
b) To know the probability that a person without HIV will be diagnosed positive (false positive), we just trace the tree diagram from population to "antibodies not present" to "positive". The tree diagram will give us a value of 0.00588.
ANSWER: The probability of a false positive is 0.00588 or 0.588%.
c) We do the same thing as the previous subproblem to determine the probability that a person with HIV will be diagnosed as negative. We trace the tree diagram from population to "antibodies present" to "negative". The tree diagram will give us a value of 0.003.
ANSWER: The probability of a false negative is 0.003 or 0.3%.
d) Same thing for this subproblem. We trace the tree diagram from population to "antibodies present" to "positive" to know that the value is 0.01997.
ANSWER: The probability that a person with HIV will be diagnosed as positive is 0.01997 or 1.997%.
Related Questions
Factor by grouping 5x^2 -40x + 3x +24
Answers
5x² - 37x + 24 is your Answer
Fill in the table, then graph f(x)=-2x-4
Answers
A polynomial expression is shown below. (mx + 8) (2x − 4)
The expression is simplified to: −6x^2 +28x − 32
What is the value of m?
A. -4
B. -3
C. 3
D. 4
Answers
mx x 2x = -6x^2
2mx^2 = -6x^2
2m = -6
m = -3
look at the picture below// 50 points // please help:((
Answers
A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...
... B. 7
Hi there!
I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.
Hope this helps!
- Chris
helppppppppppppppppp
Answers
Then take out common factor of the terms that allow it.
Finally you must clear the value of n to find the solution.
Answer:
n = 1
See attached image.
Answer: I think its 5/9
Step-by-step explanation:
11) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?
Answers
g----------------> pounds of granola------------> costs $3 per pound
c----------------> pounds of cranberries-------> cost $5.50 per pound
we know that
3g+5.5c=29---------------------------------------------------------> 3g+5.5c=29
and
g+c=8--------> multiplying by -3 all the expression---------> -3g-3c=-24
------------------------
0g+2.5c=5
2.5c=5---------> c=2
g+c=8----------> g=6
the answer is
The system of equations
3g+5.5c=29
g+c=8
Carlos should buy 2 pounds of cranberries and 6 pounds of granola
Answer:
3g+5.5c=29
g+c=8
Two boys can paint a fence in 5 hours. How many hours will it take 3 boys working at the same rate to paint the fence?
Answers
I could be wrong
since my uncles farmyard appears to be overrun with dogs and chickens. i asked him how many of each he had. he responded that his dogs and chickens had a total of 148 legs and 60 heads. how many dogs and chickens are there on my uncles farm?
Answers
60*4=240 legs
240-148=92 legs
All the 92 legs belong to the chickens, so there are 46 chickens.
Since there are 46 chickens,
60-46=14 dogs
There are 14 dogs and 46 chickens on your uncle's farm.
Explanation:To solve this problem, we can set up a system of equations. Let x be the number of dogs and y be the number of chickens on your uncle's farm.
The number of legs equation can be written as: 4x + 2y = 148 (since dogs have 4 legs and chickens have 2 legs).
The number of heads equation can be written as: x + y = 60 (since both dogs and chickens have 1 head).
We can solve this system of equations by substitution or elimination. Let's use elimination:
Multiplying the second equation by 2, we get 2x + 2y = 120.
Subtracting the new equation from the first equation, we can eliminate the 2y term: (4x + 2y) - (2x + 2y) = 148 - 120. Simplifying, we have 2x = 28.
Dividing both sides of the equation by 2, we find that x = 14. Substituting this value back into the second equation, we find that 14 + y = 60. Solving for y, we get y = 46.
Therefore, there are 14 dogs and 46 chickens on your uncle's farm.
Please answer!!! 1st one to answer with work and accurate answers will be brainliest for 30 points!!!!!!!!!!!!
Answers
2 1/3 = 7/3 = 2.333333
(4x + 9)/ 2.333333 = 3x / 0.5 Now cross multiply
0.5 * (4x + 9) = 3x * 2.333333
2x + 4.5 = 7x Transfer 2x to the right side.
4.5 = 5x
x = 4.5/5
x = 0.9
We'd best check this one
Left hand side.
(4x + 9)/2.333333
(4*0.9 + 9)/2.333333
(3.6 + 9)/2.333333
12.6/2.333333
5.4
Right hand side
3x/0.5
= 3*0.9/0.5
= 2.7/0.5
= 5.4
And it checks.
really easy math problem 5pts!!!
Answers
Explain how employee benefits affect total employment compensation
Answers
Employee benefits, such as health insurance and retirement plans, add value to the total compensation received by workers. They account for about one-quarter of average hourly compensation, contributing to the overall attractiveness of the compensation package and promoting employee well-being and job satisfaction.
Explanation:Employee benefits affect total employment compensation by adding to the overall value of the compensation package. They provide additional forms of remuneration beyond wages and salaries, such as health insurance, retirement plans, employer payments to Social Security, unemployment and worker's compensation insurance, and other benefits like Medicare.
These benefits contribute to the total compensation received by workers, accounting for about one-quarter of the average hourly compensation. So, for example, if a worker's wages are $20 per hour, the total compensation per hour might be around $26 when considering the value of benefits.
By providing employee benefits, employers aim to attract and retain talented employees, promote employee well-being, and enhance job satisfaction and productivity. These benefits play a crucial role in improving the overall compensation package and incentivizing employees to stay with the company.
Final answer:
Employee benefits, such as health insurance and retirement plans, greatly impact total employment compensation. These benefits, in addition to wages and salaries, make up the overall compensation received by workers.
Explanation:
Employee benefits have a significant impact on total employment compensation. These benefits include things like health insurance, retirement plans, employer payments to Social Security, and unemployment and worker's compensation insurance. When these benefits are added to wages and salaries, they make up the total compensation received by workers.
For example, if a worker's hourly wage is $20 and they receive $5 per hour in benefits, their total compensation per hour is $25. This means that employee benefits increase the overall value of compensation that workers receive.
Employee benefits are important for attracting and retaining employees, as well as promoting employee well-being and job satisfaction. They can also have an impact on the cost of labor for employers, as they must budget for these benefits in addition to wages and salaries.
Russel throws a soda from the balcony of his house to his friend Jones in the pool. If the soda is released 20 feet from the ground, and is thrown with a downward velocity of 2 ft/s, how long till the soda hits the pool, ignoring air resitance? Use the formula , where h is the height of the soda in feet and t is the time in seconds since Russel threw it. Round your answer to the nearest tenth.
A.
0.5 seconds
B.
0.8 seconds
C.
1.1 second
D.
1.6 seconds
Answers
S=h= 20ft, u = 2ft/s, and a = 10m/s²
Thus; 20 =2t + 20t²
Therefore; 20t²+2t-20=0
Solving the equation quadratically for the value of t,
we get; t = 1.057 or t=-1.182
But t can not be negative,
Therefore, t= 1.1 seconds (to the nearest tenth)
Answer:
C. 1.1 seconds
Step-by-step explanation:
The formula to use is :
[tex]h=ut+\frac{1}{2}at^{2}[/tex]
Where: h is the height of 20 ft, u is the velocity of 2ft/s and a is the gravitational acceleration of 9.8m/s². The acceleration should be converted to ft/sec² to simplify calculations. The value is then 32.15ft/sec².
Substituting these values into the equation:
[tex]20=2t+0.5*32.15t^{2} \\20=2t+16.075t^{2} \\0=16.075t^{2}+2t-20[/tex]
Using the quadratic formula, t can be solved.
a = 16.075, b = 2, c = -20:
[tex]t=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\t=\frac{-2+-\sqrt{2^{2}-4(16.075)(-20)} }{2(16.075)}\\t=\frac{-2+-35.92}{32.15}\\t=1.055 \\OR\\t=-1.179[/tex]
The answer cannot be negative, therefore the answer is t = 1.055 ≈ 1.1seconds
find the amount of the discount on a 140 bicycle that's is on sale for 30% off
Answers
$42 are being taken off which means the bike cost $98
Minimun commun multiple of 1,2,3,8
Answers
2
3
2*4(from here we take only 4 because 2 is already there)
1*2*3*4=24
List out multiples
1.) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, etc
2.) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, etc
3.) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. etc
8.) 16, 24, 32, etc
The LCM is 24
or
The Minimum Common Multiple is 24
simpliy completely 4m^3/3m^2n * 9n^2/30m^2n^2
2n / 3 m
2 m / 5 n
2 / 3 m n
2 5 m n
Answers
(KEY POINT HERE)
[tex]\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow\searrow \ \swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow\swarrow \\ \\ \boxed{(((((4* \frac{(M^3)}{3} *(m^2))*n)*9)* \frac{n^2}{30} *m^2)*n^2}[/tex]
Now that we have considered that equation above, we would now understand what is clear to be your (correct answer).
Your correct answer to this question listed above would be (option B).
[tex]\boxed{\boxed{2 m / 5 n}}[/tex]
I hope this helps you!
see attached picture for steps:
Find the area. a trapezoid with the top part 10.5 the inside side is 7 and the bottom is 34.5 a. 241.5 mm2 c. 157.5 mm2 b. 159.5 mm2 d. 315 mm2
Answers
A=1/2(45)7
A=1/2(315)
A=157.5 mm2
so your answer is c
hope this helps!!!
plz mark brainliest!!
have a good day!!
What is the value of n?
Enter your answer in the box.
n =
cm
Answers
3n = 6*4
3n = 24
n = 24/3
n = 8
Answer:
8 is the answer you are looking for
Step-by-step explanation: not needed
Bryan's puppy has been gaining weight for the last year. The graph shows data about the puppy's weight over time.
Answers
I hope this helped! :-)
Answer:
Option 2. 25 pounds
Step-by-step explanation:
As per graph weight gain of Bryan's puppy is represented by a linear function which is a straight line.
Therefore equation of the line will be y = mx + c
to calculate the value of m we will take two points (endpoints) on the line (0, 0) and (50, 6)
So m = (50-0)/(6-0) = 50/6 = 8.33
since this passes through (0, 0) so c = 0
Equation will be y = 8.33x
Now we have to get the value of y (weigh of puppy) at x = 3.
y = 8.33×3 = 24.99 ≈ 25 lb.
Option 2 is the answer.
WILL GIVE A BRAINLEST
What is the value of [-1.1]
–2
–1
0
1
Answers
Final answer:
If the brackets in the expression “[-1.1]” are interpreted as the floor function, the value is “-2”, because the floor function always rounds a number down to the closest lesser whole number.
Explanation:
The question appears to be asking for the value of the mathematical expression “[-1.1]”. However, the notation is a bit unclear. If the brackets denote the floor function, which rounds a number down to the nearest whole number, then the value of “[-1.1]” is indeed “-2” because -1.1 is rounded down to -2.
The floor function basically chops off all decimal points and moves a number to the next lower integer if it's not already an integer. Hence, the correct answer based on the interpretation of the floor function is “-2”.
A baker is making dough for bread.the number of cups of flour he uses is proportional to the number of loaves he makes. The baker uses 18 3/4 cups of flour to make 5 loaves if bread. Which of the following correctly represents this proportion? Select all that apply.
Answers
SEE ATTACHED IMAGE.
For this case, the first thing to do is find the slope of the line:
m = (18 3/4) / (5)
m = (18.75) / (5)
m = 3.75
m = 3 3/4
Then, the equation of the line will be:
f = (3 3/4) b, where f is the number of cups of flour and b is the number of bread loaves.
Answer:
option a.
Find three consecutive integers such that the sum of the first and twice the second is 8080 minus three times the third.
Answers
A chemical engineer has tested 56 water samples. These samples make up 25% of the total number of samples that need testing.
??
Select from the drop-down menu to correctly identify the total number of water samples that need testing.
??
There are a total of water samples to be tested. choices a. 1.4 b. 14 c. 168 d. 224
Answers
What This tells you, is that 56 is one fourth of the total amounts of samples needing to be tested. Therefore, 56 x 4 is the total amount.
56 x 4 = 224
So 224 is the correct answer.
I hope this Helps!
use similar triangles EFG and IHG to find the missing distance D.
Answers
6. [tex] \frac{48}{60} = \frac{d}{80} [/tex]
7. [tex] \frac{d}{180} = \frac{78}{45} [/tex]
8. [tex] \frac{d}{140.4} = \frac{27}{18} [/tex]
9. [tex] \frac{d}{64.8} = \frac{211.2}{388.8} [/tex]
To solve these proportions, we cross multiply and divide. This will give us d in each triangle.
6. d = 64
7. d = 312
8. d = 210.6
9. d = 35.2
Daniel puts $80,000 in an account that earns .6% interest compounded annually how much interest does he earn after 15 years
Answers
PEMDAS
80000(1.06)^15
191724.66(rounded up)
Daniel can earn $7510 interest he get after 15 years of investment.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, principal = $80,000
Time = 15 years
Rate of Interest = 0.6% compounded annually
We know that,
[tex]A = P(1+i)^n[/tex]
[tex]A = 80000(1 + 0.006)^{15}[/tex]
[tex]A = 80000 X 1.006^{15}[/tex]
A = 80000 X 1.094
A = 87,510.41
Interest = Amount - Principal
= 87510 - 80000
= $ 7,510
Thus, Daniel can earn $7510 interest he get after 15 years of investment.
Learn more about Compound Interest from:
https://brainly.com/question/14295570
#SPJ2
write y=(-3/4)x+3 in standard form using integers.
Please help:D will fan and medal
Answers
4y = -3x + 12
To check your work, you can divide both sides by 4 and see that -3x/4 = (-3/4)x and 12/4 = 3.
Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms.
sin(?) = 4/5
cos(F) = ?
tan(D) = ?
Answers
sin F = 4/5
cos F = 3/5
tan D = 3/4
Explanation:
First, we have sin an angle = 4/5
In a right-angled triangle:
sin theta = opposite / hypotenuse
This means that in triangle DFE:
The hypotenuse = 5 units
one of the sides = 4 units
Use Pythagoren theorem to get the other side as follows:
hypotenuse^2 = side1^2 + side2^2
5^2 = 4^2 + side2^2
side2^2 = 9
The second side of the triangle = 3 units
The special trig functions are as follows:
sin theta = opposite / hypotenuse
cos theta = adjacent / hypotenuse
tan theta = opposite / adjacent
From the attached figure and based on the calculations above:
sin F = 4/5
cos F = 3/5
tan D = 3/4
Hope this helps :)
Answer:
Sin(F)=4/5
Cos(F)=3/5
Tan(D)=3/4
Step-by-step explanation:
Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?
Answers
Answer: < DCQ ≅ <DCE.
Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.
In the shown composite figure we can see:
<CDQ ≅ < CDE : Given
CD are common sides of both triangles
Therefore, by reflexive property
CD = CD
We need to apply ASA congruence criteria.
That is Angle Side Angle congruence criteria.
We already got One angle is congruent and one side on both triangles.
We just need one-one more angles in both triangles those would be congruent.
Therefore,
We could choose < DCQ ≅ <DCE.Answer:
<DCQ <DCEStep-by-step explanation:
ODYSSEYPaul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £71.10.
They share the tips in the ratio 2:3:4.
How much more does Colin get over Paul?
Answers
x-------------------> Paul earns tips
y-------------------> Colin earns tips
z-------------------> Brian earns tips
we know that
x+y+z=£71.10
and
the ratio is 2:3:4
therefore
x/y=2/3 x/z=2/4 y/z=3/4
the question is
How much more does Colin get over Paul?
Colin------> y
Paul-------> x
y/x=3/2----------> y=x*(3/2)--------> y=1.5x--------> Colin=1.5 Paul
the answer is
Colin did 1.5 times more than Paul
If a cylinder has a surface area of 59 square inches and its radius
is 2.1 inches, how tall is the cylinder in inches?
Round to the nearest tenth.
Answers
_______________________________________________________________
Answer:
5.8
Step-by-step explanation:
Write true or false. The figure has rotational symmetry