Answer and Step-by-step explanation:
Solution:
Given:
Let A is the event of a person over 50 diagnosed by health service.
B1 is the event that an adult over 50 actually has diabetes.
B2 is the event that an adult over 50 does not have diabetes.
P (B1) = 8% = 0.08
And P (B2) = 1 – P (B1)
= 1 – 0.08
= 0.92
Correctly diagnose of all persons with diabetes= 95%
P (A/B1) = 0.95
Incorrectly diagnose of all persons without diabetes= 2%
P (A/B2) = 0.02
(a) ) the community health service will diagnose an adult over 50 as having diabetes.
P (B1) P (A/B1) = (0.08) (0.95) = 0.076
P (B2) p (A/B2) = (0.92) (0.02) =0.0184
P (B1) P (A/B1) + P (B2) p (A/B2) = 0.076 + 0.0184
= 0.0944
(b) A person over 50 diagnosed by the health service as having diabetes actually has the disease.
By using formula:
P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)
Put all the given values:
= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)
=0.076 / 0.076 + 0.0184
=0.076 / 0.0944
= 0.8050
Using conditional probability, it is found that there is a:
a) 0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
b) 0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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 happening.Item a:
The percentages of a positive test is:
95% of 8%(have diabetes).2% of 92%(do not have diabetes).Hence:
[tex]P(A) = 0.95(0.08) + 0.02(0.92) = 0.0944[/tex]
0.0944 = 9.44% probability that the community health service will diagnose an adult over 50 as having diabetes.
Item b:
Event A: Positive test.Event B: Has the disease.From item a, [tex]P(A) = 0.0944[/tex].
The probability of both a positive test and having the disease is:
[tex]P(A \cap B) = 0.95(0.08)[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.08)}{0.0944} = 0.8051[/tex]
0.8051 = 80.51% probability that a person over 50 diagnosed by the health service as having diabetes actually has the disease.
A similar problem is given at https://brainly.com/question/14398287
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
If g is the midpoint of AB, classify each triangle by its angles and sides
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .Can anyone help me solve for x and y
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)
Answer:
[tex]y=-x-15[/tex]
Step-by-step explanation:
Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.
You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.
The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:
[tex]m=-\frac{1}{1} =-1[/tex]Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").
Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.
[tex]y-(-8)=-1(x-(-7))[/tex]Simplify this equation.
[tex]y+8=-1(x+7)[/tex]Distribute -1 inside the parentheses.
[tex]y+8=-x-7[/tex]Subtract 8 from both sides of the equation.
[tex]y=-x-15[/tex]This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.
Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why? HEPLLLL!!!!!
Answer:
Steve
Step-by-step explanation:
Because it means greater than or equal to
Complete the following equation;
Y=k?
15 POINTS!
An abandoned lot is to be converted into a community garden. The garden is to consist
of a 7 yard by 20 yard rectangle for planting that is surrounded by a path of uniform
width. The total area of the lot is 198 square yards. What is the width of the path?
SHOW WORK PLS TY
Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)
Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?
Answer:
Charlie owns 9,315 ft2 of the land area
Step-by-step explanation:
There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.
Mabel owns 26% of the land area, that is:
26*34,500 ft2 / 100 = 8,970 ft2
Adeline owns 47% of the land area, or:
47*34,500 ft2 / 100 = 16,215 ft2
The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2
Since the total area land is 34,500 ft2, Charlie owns:
34,500 ft2 - 25,185 ft2 = 9,315 ft2
Charlie owns 9,315 ft2 of the land area
ve spent the whole weekend grading math assignments. I graded 30 students
work this weekend, which is 40% of my class. How many students do I have in
my class?
Answer:
75
Step-by-step explanation:
How many students is 1% of the class, 30/40=0.75, so you could do 0.75x100=75, or you could do 0.75x60=45, and 45+30=75.
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region Membership
Alabama 114
Arizona 261
Maryland, Delaware, DC 319
Connecticut 183
Florida 654
Georgia 313
Hawaii 58
Maine 98
Minnesota, Dakotas 335
Missouri, Kansas 324
Mississippi 52
Nebraska 125
North Carolina 342
Nevada 66
New Jersey, Bermuda 321
Alaska, Idaho, Montana, Oregon, Washington 893
New York 690
Ohio 798
Oklahoma 201
Arkansas 74
Illinois 632
Indiana 216
Iowa 76
Kentucky 155
Louisiana 161
Michigan 304
Massachusetts 530
California 1,110
New Mexico 93
Pennsylvania 631
Rhode Island 75
Colorado 344
South Carolina 264
Texas 1,120
Tennessee 122
Utah 45
Virginia 304
Vermont, New Hampshire 192
Wisconsin 316 West Virginia 63
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 1 decimal places.)
Mean?
Median?
Standard deviation?
b-1. Find the coefficient of skewness, using the software method? (Round your answer to 2 decimal places.)
Coefficient of skewness?
b-2. What do you conclude about the shape of the distribution of component size?
Mild positive skewness or Mild negative skewness
(d-1) Are there any outliers?
One, Zero, Three, Four, Two
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
114, 261, 319, 183,654,313,58,98,335,324,52,125,342,66,321,893,690,798,201,74,632,216,76,155,161,304,530,1110,93,631,75,344,264,1120,122,45,304,192,316,63
USING CALCULATOR :
The mean(m) of the data: = ΣX/n
n = sample size = 40
m = 12974/40
m = 324.4
Median = ((n + 1)/2) th term = 41/2 = (20 + 21)th term / 2
= (261 + 264) / 2 = 262.5
Standard deviation (s) = sqrt(Σ(x - m)²/n))
s = 281. 74
B.) Coefficient of skewness (Ks) :
3(mean - median) / standard deviation
3(324.4 - 262.5) / 281.74
= 0.66
Mild positive skewness Given a positive skew Coefficient value.
(d-1) Are there any outliers?
Yes
Four outliers
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Lower bound = Q1 - (1.5 * IQR)
Upper bound = Q3 + (1.5 * IQR)
IQR = Q3 - Q1
Q3 = upper quartile = 343 ; Q1 = 106 ; Q2 = 262.5
IQR = 343 - 106 = 237
Lower bound = 106 - (1.5 * 237) = - 249.5
Upper bound = 343 + (1.5 * 237) = 698.5
-249.5 ≤ X ≤ 698.5
PLEASE!!
NEED HELP
ASAP
Answer:
set of all solutions
3x+2=11 what is the answer
x = 3
Step-by-step explanation:Hi there !
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Good luck !
The graph shows the linear relationship between the balance in a student school lunch account and the number of lunches purchased
Answer:
Step-by-step explanation:
Plz help ty very much
Answer:
A fungus breaks down the body of a dead animal or organism.
btw you cant be in college I did this years ago in fourth grade
A fungus breaks down the of a dead animal
Solve the inequality 3x + 4 < 22
Answer:
3х<18
х<6
хє(-infinity ;6);
Answer:
x<6
Step-by-step explanation:
3x+4<22
First, subtract 4 from both sides of the inequality.
3x-4<22-4
This cancels out the 4, so the 3x is isolated
3x/3<18/3
Finally, simplify to get the answer.
x<6
please mark as brainliest!!
Fill in a negative integer to make the statement true
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
volume of 29 mL and has a mass of 53 g what’s is the density
Answer: 1.82
Step-by-step explanation:
Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.
= 1.82
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
The sum of three consecutive integers is 48. What are the three numbers?
What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.
If f(x) = 8x+9 and g(x) = 4x-3, what is (f+g)(x)?
O A 4x-12
B. 4x+12
0
C 12x+6
D. 32x-27
Logic puzzle,Riddles
You enter a bedroom there are 34 people. You kill 30. How many are in the bedroom?
Answer:
4
Step-by-step explanation:
yes
Need help ASAP please! Simplify these.
Answer:
x³/2
8x³/7
5x²/3
3/4x³
1/2 mi = 880 yd
O True
O False
Help
Answer:
True
Step-by-step explanation:
1,760 yds = 1 mile, 1,760 ÷ 2 = 880
-45 x (-2) solve please
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation:
CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please
Answer:
yes yesss yessssssssssssssssssssssssssssssssssss
Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters
Answer:
22 dimes
10 quarters
Step-by-step explanation:
$4.70 = 0.25(q + 9) + 0.1d
4.7 = 0.25q + 0.25(9) + 0.1d
4.7 = 0.25q + 2.25 + 0.1d
2.45 = 0.25q + 0.1d
24.5 = 2.5 + d
22 = d = 22 dimes
$4.70 = 0.25(q + 9) + 0.1(22)
4.70 = 0.25q + 0.25(9) + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 4.45
0.25 = 0.25q
1 = q
1 q + 9 q = 10 quarters
Check:
$4.70 = 0.25(q + 9) + 0.1(d)
$4.70 = 0.25(1 + 9) + 0.1(22)
$4.70 = 0.25(10) + 0.1(22)
$4.70 = 2.5 + 2.2
$4.70 = 4.7
Simplify -√36 please
Answer:
-6
Step-by-step explanation:
djhcjici4n c rncinr
for the question the answer will be -6
A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?
Answer:
2 gallons
Step-by-step explanation:
divide 6 by 3 because that's the amount
Answer:
2 gallons
Step-by-step explanation: