certain disease has an incidence rate of 0.1%. if the false negative rate is 8% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive is infected is 0.0843.
Suppose the incident rate of a certain disease is 0.1 %.
The false negative rate is 8 % and the false positive rate is 1 %.
For a population of 100,00
There are 0.1 % infected = 100,00 × 0.1 % = 100
The population that is not infected is:
= 100,000 - 100 = 99900
The false negative rate is 8%, so the positive rate is 100 = 8 = 92%.
The population that is infected and has a positive result is:
= 100 × 0.92 = 92
The false positive rate is 1%.
The population that is not infected but has a positive result is:
= 99900 × 0.01 = 999
Therefore, the total positive results are:
= 92 + 999 = 1091
Therefore, the probability that a person who tests positive actually is infected is:
P ( infected / positive) = 92 / 1091 = 0.0843
Hence, the probability that a person who tests positive is infected is 0.0843.
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What is the slope between the points (7,4) and (-5, -6)?
a.) 5/6
b.) -5/6
c.)6/5
Answer:
b.) -5/6
Step-by-step explanation:
m = -10/-12 = -5/-6
Que tipo de triángulo es
Please help. Will give brainliest if it's correct. Also plz don't just use me for points. Actually answer it bc a girl did that to me yesterday and she was rlly annoying.
Answer:
i think the first one. I hope it's right. Good luck!
Step-by-step explanation:
help pleaseeeeeeeeeee
Answer: y=9
Step-by-step explanation:
Answer:
8 it gigi
Step-by-step explanation:
8. this o y 8u9 I 7f8d
Mrs. Ortiz write the expression 16 + 24 on the board. How can you rewrite this addition problem using the distributive property? Use 16 + 24= a(b+c) where a represents the greatest common factor. Fill in the blank: 16 + 24= ____(____ + ______)
Answer fast its for a test
Answer:
Step-by-step explanation:
the greatest common factor between those numbers is 8
a=8
16+24=8(2+3)
The figure to the right has its congruent segments marked. Find the measure of AB.
A
C
B
25 meters
5 meters
Question content area bottom
Part 1
AB
enter your response here meters
Ned washes dishes at a constant rate. Ned can hand-wash 18 dirty dishes in 3 minutes. Choose the graph that best
represents the number of dishes, d, Ned can wash in any number of minutes, t.
Answer:
what are the graphs
Step-by-step explanation:
tell me the graphs
If a cantaloupe that weighs 3.0 pounds costs $3.87, approximately how much will a 2.22 pound cantaloupe cost?
Answer:[tex]1.29 * 2.22 = 2.86[/tex]
$2.86
Step-by-step explanation:
First we need to find the price per pound for the cantaloupe
[tex]3.87/3.0=1.29[/tex]
So one pound of cantaloupe costs $1.29
Now multiply the price per pound by the weight of the second cantaloupe
[tex]1.29*2.22=2.86[/tex]
So the price for a cantaloupe that weighs 2.22 lbs would be $2.86
Can someone help me solve this question? | x-9 | +7 = 8
Answer:
x = 8
x = 10
Step-by-step explanation:
lx -9l + 7 = 8
lx - 9l + 7 - 7 = 8 - 7
lx - 9l = 1
Split into a positive and a negative case.
x - 9 = 1 and - (x - 9) = 1
Add nine to both sides
x - 9 + 9 = 1 + 9
x = 10
- (x - 9) = 1
Subtract 9 from both sides
- 8 = - x
Multiply both sides by negative 1
x = 8
How do you write -0.2 repeating as a fraction?
$300 multiplied by 3% simple interest
Answer:
Mortgage
Step-by-step explanation:
someone please help me
Kevin mowed 12 laws and earned a total of $60 which represents the amounts of money earned per lawn
Answer:
$5 per lawn
Step-by-step explanation:
60 divided by 12 = 5
a school class went on a field trip to see a magician perform. there were 17 females and 20 males in the class. the magician randomly selected a volunteer from the audience, which had 52 females and 68 males. given that the randomly selected audience member is a student from the class, which equation can be used to find the probability, p, that the person is also a female?
An equation that can be used to find the probability, p, that the person is also a female given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)
For given question,
The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.
Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.
First we find the probability of selecting a student from the class in all audiences.
P(A) = 37/120
Now, the probability that the selected student is female student:
P(B) = 17/120
We need to write an equation for combined probability which is given by,
P = (17/120) ÷ (37/120)
Therefore, an equation that can be used to find the probability, p, that the person is also a female given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)
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A new concrete courtyard will be 15' by 25' and will be filled to a depth of 3" (1/4 foot.) How many cubic yards, rounded to the nearest tenth, of concrete do you need?
The volume in cubic yards of concrete needed is 3.5 cubic yards
Calculating volumeFrom the question, we are to calculate the volume of concrete needed
From the given information,
A new concrete courtyard will be 15' by 25'
That is,
15 feet by 25 feet
Also, from the given information,
The concrete will be filled to a depth of 3" (1/4 foot.)
That is, 0.25 foot
First, we will convert the measurements to yards
NOTE: 1 foot = 1/3 yards
Thus,
15 feet = 15/3 yards = 5 yards
25 feet = 25/3 yards
0.25 foot = 0.25/3 yard = 1/12 yards
Thus,
Volume of concrete needed = 5 × 25/3 × 1/12
Volume of concrete needed = 125/36
Volume of concrete needed = 3.472 cubic yards
Volume of concrete needed ≈ 3.5 cubic yards
Hence, the volume in cubic yards of concrete needed is 3.5 cubic yards
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Cuantos minutos hay en 4 horas
Answer:
240
Step-by-step explanation:
Answer:
240 minutos.
Step-by-step explanation:
How many minutes are in 4 hours. Multiply 60 by 4. 60x4=240 minutes.
What is the √299 and √675
Answer:
√299=17.2916164658 √675= 25.9807621135
Step-by-step explanation:
Answer:
17.29 and 25.98
if you are rounding to the nearest whole number it would be 17 and 26
hope this helped :)
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
О A. 1
О B. 3
О C. 4
О D. 2
Answer:
it is 4 feet deep
Step-by-step explanation:
What is the slope of the line graphed below?
(3,1) (0,-5)
m =
A. 1/2
B. -1/2
C. -2
D. 2
Answer:
2
Step-by-step explanation:
[tex]m= \frac{y2 - y1}{x2 - x1} [/tex]
put the values you will get your answer.
Pls help me ill give brainliest
Do all 3 for brainliest pls
Answer:
16. 2x -3 + 2x -3 = 4x -6
x + 5 + x + 5 = 2x + 10
4x -6 + 2x + 10 =
6x+4Step-by-step explanation:
Daniel invests £2200 into his bank account.
He receives 10% per year simple interest.
How much will Daniel have after 2 years?
Give your answer to the nearest penny where appropriate.
Answer:
£440
Step-by-step explanation:
10% of 2200 = 220
So, he gets 220 per year.
220 x 2 = 440
£440
Answer:
£440
Step-by-step explanation:
According to the question,
Daniel invests £2200 into his bank account and he receive 10% per year simple interest.
So, money he'll have after a year = 10% of 2200 = 220
Money he will have after two years = 220×2 = 440
So he will have £440 after two years
Solve 6/7 = y - 3/7
y = ?
Please show your work! Like the steps of how you got your answer.
"A student measures the length of a rectangularposter to the nearest centimeter and finds thatthe length is 75 cm. Another student measuresthe poster's width to the nearest tenth of acentimeter and finds that the width is 50.3 cm.How should the students report the area of theposter using the correct number of significantdigits?"
Answer:
See below
Step-by-step explanation:
The result of the calculation of area ( L x W ) should have no more significant digits than the lowest factor ....in this case 75 has only TWO significant digits...... the naswer should have the same ...two
75 * 50.3 = ~3800 cm^2
Help with the picture
Answer:
(3x + 1)(x - 2) = 0
Step-by-step explanation:
move the 2 to the left to set the equation equal to 0
3x^2 - 5x - 2 = 0
factor out from here
(3x + 1)(x - 2) = 0
Write the two statements that create the biconditional: There is traffic on the freeway if and only if there are a lot of cars on the freeway.
Answer:
there is traffic on the freeway
a lot of cars on the freeway
Step-by-step explanation:
Solve (x -3) =5.
A. x-5t43
B. x- 3 t45
C. x= 8 and x=-2
D. x= -3±45
Answer:
C
Step-by-step explanation:
(x-3)=5
add 3 to 5= 8
another way is to do:
subtract -3 to 5 = -2
Answer:
x=8
Step-by-step explanation:
-2=-2/3x
write in standard form pls answer quick
Answer:
2x=6
Step-by-step explanation:
Which table represents a linear function that has a slope of 5 and a y-intercept of 20?
X
-4
048
X4048
-4
X
0
20
40
60
y
0
20
40
60
y
0
-20
-40
-60
y
-4
0
4
8
Mark this and return
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Submit
The table representing the linear function is attached below.
A linear function is defined as the relation between two variables . A linear function represents a straight line on the number plane.
A linear function is of the form y = mx + c , where m is the slope of the function and c is the y-intercept of the function.The slope is defined as the tangent of the angle made by the line with the positive x-axis.The y-intercept is the point of intersection of the line and the y-axis.Given the slope of the function as 5 and the y-intercept as 20 .
So m = 5 and c = 20
Therefore the linear function is of the form : y=mx + c
Substituting the values we get: y = 5x + 20
Now
at x=0 , y = (5 ×0) + 20 = 20
at x=-4 , y = (5 × -4) + 20 = 0
at x= 4, y = (5 × 4) + 20 = 40
at x= 8, y = (5 × 8) + 20 = 60
Therefore the table for the linear equation is attached.
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Adalyn has nine more than twice the number of skittles than Morgan has. If twice the number of skittles that Adalyn has is two more than five times the number of skittles that Morgan has, how many does each girl have?