Answer:
172
Step-by-step explanation:
It is already a whole number so you just add.
Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test)
We're given
P(has disease) = 0.001
P(positive test | has disease) = 0.95
P(negative test | does not have disease) = 0.90
(a) By the law of total probability,
P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)
Recall that the probability of an event A conditioned on another event B is
P(A | B) = P(A AND B) / P(B)
so that
P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)
P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)
P(positive test) ≈ 0.10
(b) From the definition of conditional probability, we hvae
P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)
so that
P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)
P(has disease | positive test) = 0.95 * 0.001 / 0.10
P(has disease | positive test) ≈ 0.0094
The probability will be "0.017699".
Given:
Incident rate,
0.1% or 0.001[tex]P(D) = 0.001[/tex][tex]P(D')= 1-0.001[/tex][tex]= 0.999[/tex]
[tex]P(\frac{P}{D} ) = 0.95[/tex][tex]P(\frac{N}{D} ) = 0.9[/tex]Now,
→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]
[tex]= 1-0.95[/tex]
[tex]= 0.05[/tex]
then,
→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]
or,
[tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]
By substituting the above values, we get
[tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]
[tex]= \frac{0.0009}{0.0009+0.04995}[/tex]
[tex]= \frac{0.0009}{0.05085}[/tex]
[tex]= 0.017699[/tex]
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HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Solve for y
w= x-y/2-z
Answer:
Step-by-step explanation:
2
What is the equation in point-slope form of the line that passes through the point
(-8, 5) and has a slope of 2?
Drag and drop the appropriate number, symbol, or variable to each box.
CITT
х
y
2
2
4
5
5
8
+
Answer:
y-5 = 2 (x + 8 )
simplified : y=2x+21
Step-by-step explanation:
I wish I...................to him yesterday?
had told
we use past perfect tense for wishes
for more dowload grammerly and check
Please help! Brainliest! How are the functions y = 2x2 and y = 2x2 + 7 related? How are their graphs related?
A. Each output for y = 2x2 + 7 is 7 less than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated down 7 units.
B. Each output for y = 2x2 + 7 is 7 greater than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated up 7 units.
Option B is correct.
We have the two equations -
[tex]y= 2x^{2}[/tex]
[tex]y=2x^{2} +7[/tex]
We have determine how are these functions related and how are their graphs related.
What type of conic section is represented by equation -y = [tex]$x^{2}[/tex] ?A parabola is represented by the equation y = [tex]$x^{2}[/tex].
According to the question, we have -
[tex]y= f(x) = 2x^{2}[/tex]
[tex]y=g(x)=2x^{2} +7[/tex]
Refer to the image attached for graphs.
Now -
g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7
Therefore - Each output for y = g(x) is greater than the corresponding output of y = f(x).
From the graph it is clear that the graph of y = g(x) is the graph of
y = f(x) translated up 7 units.
Hence, Option B is correct.
To solve more questions on functions and graphs, visit the link below -
https://brainly.com/question/2364381
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How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys?
Answer:
15 boys
Step-by-step explanation:
There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.
17'-0.39 Write each fraction as a percent 4. mla 3 10
Answer:
hmmmmmmmm
Step-by-step explanation:
yea i really dont know
1. Which of the following is irrational?
A)0.4
B)3. 125 bar
C) 0.2496
D ) 3.142968
Answer:
A hope this helps
Step-by-step explanation:
Answer:
A...
Step-by-step explanation:
hope this helps you
Solve for x and y:
x =
y =
Answer:
x = 15
y = 21
Step-by-step explanation:
*triangle sum theorem*
(6x - 11)° + (81)° + (x + 5)° = 180°
(7x - 6)° + (81)° = 180°
(7x)° + (75)° = 180°
(7x)° = (105)°
x = 15
________________
*vertical angle theorem* *triangle sum theorem*
(6x - 11)° + (4y - 18)° + (y + 14)° = 180°
^
|
15
(79°) + (4y + y) + (14 - 18)°
_________________________
(79)° + (5y - 4)° = 180°
(5y)° + (75)° = 180°
(5y)° = 105°
y = 21
what is the equation of the following graph
Answer:
[tex]y=-(x-2)^2-3[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The graph provided in the question has two clear points:
The vertex, located at (2,-3)
The y-intercept, located at (0,-7)
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x-2)^2-3[/tex]
The value of a will be determined by using the other point:
[tex]-7=a(0-2)^2-3[/tex]
Operating:
[tex]-7=a(4)-3[/tex]
[tex]4a=-4\Rightarrow a=-4/4[/tex]
Solving:
a=-1
The equation of the graph is:
[tex]y=-(x-2)^2-3[/tex]
is 9.94 a rational number or a irrational
Answer:
it is a Rational number
Answer:
Rational
Step-by-step explanation:
Any number that can be written in fraction form is a rational number.
9.94 can be converted to [tex]9\frac{47}{50}[/tex]
Jack drove to the train station and back. It
took two hours less time to get there than
it did to get back. The average speed on
the trip there was 40 km/h. The average
speed on the way back was 24 km/h. How
many hours did the trip there take?
Answer:
8hoursStep-by-step explanation:
let the time taken to get back be x
so that the time needed to go is (x-2)
we know that speed= distance/time
therefore the speed for the return is 24 km/h.
distance (return)= 24*x
distance (return)=24x
therefore the speed to the station is 40 km/h.
distance (return)= 40*(x-2)
distance (return)=40x-80
We know that the distance is the same
24x=40x-80
24x-40x=-80
16x=80
divide both sides by 16
x=5
the time taken to get back is x=5hours
the time taken to is x-2=(5-2)= 3hours
the total trip takes 3+5= 8hours
If a = 9 mm and b = 12 mm what is side c of a right triangle using the
pythagorean theorem?
Answer:
15
Step-by-step explanation:
9^2+12^2=225
square root of 225 is 15
Can someone help me?
u = kx+y solve for x
Step-by-step explanation:
Kx = u - y
Divide both sides by k
X = u - y
K
I think that's the answer
Hope it helps:)
what is 800x864674 divided by 500?
Answer:1383478.4
Step-by-step explanation:The answer is 1383478.4 and i dont think it can be simplify
help please it would be very much appreciated
Answer:
54 degrees
Step-by-step explanation:
4y-7=2y+11
2y=18
y=9
4(9)-7=25
2(9)+11=29
25+29=54
what is 33.058 as a simplified fraction?
Answer:
[tex]\frac{16529}{500}[/tex]
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
I have a few questions
Answer:
why didn't you ask the questions then?
1. Square of a Binomial
Symbols/Pattern:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = 22 - 2ab + b2
In the pattern, if a is the first term and b is the last term, then the square
of a binomial consists of:
a) the square of the first term (a);
b) twice the product of the first and last terms (2ab); and
c) the square of the last term (54).
2. The product of the sum and difference of two terms
What is the absolute value of -46.6?
Answer:
[46.6]
Step-by-step explanation:
Absolute value has no negatives.
Is -4.8 a rational number
Answer:
Yes
Step-by-step explanation:
A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". Examples: • 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)
-4.8 can be written as a fraction
Hope this helps!
-Jerc
Answer:
Yes!
Step-by-step explanation:
Rational numbers are any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.
-4.8 is a terminating decimal, and thus, is a rational number!
Hope this helped you! If you liked my answer, please rate it and a Thanks would be nice, too!
Have a wonderful day!
The price of fancy coffee has increased 9% each year for the last several years.
If the current cost $8 per pound, what did a pound cost two years ago
Answer:
$6.56
Step-by-step explanation:
First, take 8 and divide it by 100. Then you have 0.08. multiply that by 9. You get 0.72, that is how much the price increases every year. multiply that by 2, and you get 1.44. subtract 1.44 from 8, and you are left with $6.56, the price it was two years ago.
how do make number lines
Answer:
Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.
Step-by-step explanation:
(01.07) Solve 3(х+1) +6 = 33. (1 point) Я ооо
Answer:
x = 8
Step-by-step explanation:
Given
3(x + 1) + 6 = 33 ( subtract 6 from both sides )
3(x + 1) = 27 ( divide both sides by 3 )
x + 1 = 9 ( subtract 1 from both sides )
x = 8
A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the number of such boxes needed to pack all the apples.
100 x 6
300x6
100 divided by 6
300 divided by 6
Answer:
300 divided by 6
Step-by-step explanation:
Given that;
Number of crates of apple owned by fruit seller = 3 crates
Number of apples in each crate = 100 apples
He packed 6 apples in 1 box;
Unknown:
Number of boxes needed to pack all the apples = ?
This problem is pretty straight forward;
Number boxes needed to pack all apples = [tex]\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}[/tex]
Input the parameters and solve;
Number of boxes need to pack all apples = [tex]\frac{100 x 3}{6}[/tex] = [tex]\frac{300}{6}[/tex]
So the solution is 300 divided by 6
At right are the graphs of two quadratic equations. One of them is the graph of
[tex]y = 3x ^{2} [/tex]
What is the equation of the other graph? Explain how you know.
Explanation:
Answer:
789x86=8u
Step-by-step explanation:
YALL COME PLAY WITH ME AMONG US ZSFNQQ
Answer:
OK lets do it
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
Find the midpoint of segment AB if A(3,2) and B(5, 10).
Answer:
=(1,3)
Step-by-step explanation:
this is the ans mark me as the brainliest