Answer:
Step-by-step explanation:
the gcf of that is X
In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of all persons with diabetes as having the disease and incorrectly diagnoses 2% of all persons without diabetes as having the disease, find the probabilities that
a) the community health service will diagnose an adult over 50 as having diabetes.
b) a person over 50 diagnosed by the health service as having diabetes actually has the disease.
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
Which statement is false
A. Every integer is also a rational number
B. No rational number is irrational
C. Every rational number is also an integer
D. Every irrational number is also real
Answer:
C
Step-by-step explanation:
The answer is C because a rational number is a number that doesn't go forever, and an integer is a positive or negative whole number. For example, 3.5 is rational but not an integer. So, the correct answer is C, and I hope it helps!
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answer:
Percent 40% Fraction 4/10 or 40/100 Decimal .40
Step-by-step explanation:
What is 6 x 7 ones??
Answer:
42 it is the answer i think
Step-by-step explanation:
6 × 7 = 42
6×1 = 6
6×2 = 12
6×3 = 18
6×4 = 24
6×5 = 30
6×6 = 36
6×7 = 42
6×8 = 48
6×9 = 54
6×10 = 60
Find the measure of each indicated angle. (2x-1) and (3x-19)
Which expression is equivalent to 2(4f+2g)
Answer:
8f+4g
Step-by-step explanation:
distribute the 2 to 4f and 2g. Thats all you can do to the expression tho
Express missing divisor using power of 10.
6.3 / ____= 0.0063
A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.
9514 1404 393
Answer:
sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
-7x = 5y
-7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
sec(A)^2 = 1 + tan(A)^2
sec(A) = √(1 +tan(A)^2)
sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
sec(A) = -(1/5)√74
11) 576 + m = 1000 for m = 524
True or false
Answer:
False
Step-by-step explanation:
M= 424
prob ion know but yeah
What is the value f(4) if f(x)=-4(x+3)-14
Answer:
f(4)=-42
Step-by-step explanation:
f(x)=-4(x+3)-14
(sub 4 for x in the equation f(x) to find f(4))
f(4)=-4×(4+3)-14
(simplify inside the bracket)
=-4×7-14
(multiply 7 and -4)
=-28-14
(simplify)
=-42
Charles made the following observation:
"When I divide two fractions, the divisor is larger than the quotient."
Which of the following equations would prove Charles's statement false? Select all that apply.
Answer:
Where is it?
Step-by-step explanation:
Answer:
Whats the Answer?????????
Step-by-step explanation:
How much dose 15 go in 48
Answer:
three times
Step-by-step explanation:
15 30 45 cant go no more
a number increased by 15 is 114
Answer:
129
Step-by-step explanation:
all u have to do is add those two numbers
Answer:
114 - 15 = 99
Step-by-step explanation:
A "number" can be used as x since we don't know what it is at first- since it'd be x + 15 = 114 you can just do 114 - 15 to get the answer to x which is 99:)
You pay $25 each month for satellite TV, plus $1.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $38.50
Answer
9 movies
Step-by-step explanation:
$25 - 38.50 = $13.50
13.50/ $1.50 = 9
What is the total number of digits required in numbering the pages of the book, which has 76 pages?
Answer:
152
Step-by-step explanation:
Please mark as brainliest.
A game you want is on sale for 15% off.if the regular price is $50.00,how much will you save?and what will the total sale price be?
Answer:
you will save 7.50$ and the total sale will be 42.50
Step-by-step explanation:
Joseph read 9 books in 15 months. What was his rate of reading in books per month?
Answer: 0.6 books
Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.
( I think) I’ve done this before , this certain question.
[n +1] – 10 >-9
Solve.
Problems
1) Paul runs 4 miles in 28 minutes. If he runs each mile at the same pace,
what is his rate in minutes per mile?
1 point
Your answer
Answer:
7
Step-by-step explanation:
You must divide 28 by 4 which equals 7.
What fraction is equal to 5/7
The answer is
[tex]\frac{10}{14} \frac{15}{21} \frac{25}{35} \frac{30}{42} \frac{35}{49}[/tex]
To learn more, take a look at this chart please.
Answer:
Any of these
10/14
15/21
20/28
etc.
Step-by-step explanation:
Basically, if you multiply the fraction by the same number, it will be equal.
Morton sees these stickers at a craft store. What is the ratio of clouds to suns ☁️☀️☁️☁️☀️
Answer:
3:2
Step-by-step explanation:
3 clouds, 2 suns
Answer: 3:2
Step-by-step explanation:
there are three clouds to two suns
I need help! Find the equation of a line parallel to 3x-3y=5 that contains the point (-1,-5). Write the equation in slope Intercept form.
the equation of the line is y= x-4
Step-by-step explanation:
so so the first thing that you're going to do is get y alone
-x-5=y
next you're going to find your slope which in this case is negative one.
after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.
so in this case the reciprocal is one.
next you're going to substitute in the cordinates to find the y intercept
x+b=y. (-1)+b= -5. (. b is the y intercept)
b= -4
Miss Young is making fruit baskets to send to her 7 cousins. in each basket she puts a g green apples. she puts three times as many red apples in each basket.
Which expression represents the total number of apples Miss Young sends her cousins. choose all that apply.
g +3g
7(g+3g)
7+g+3g
7g+7(3g)
28g
7+4g
Answer: 7(g + 3g) , 7g + 7(3g) , and 28g
Step-by-step explanation: I got it wrong and it showed me the answers so here you go
Rachel is driving her car at a constant 60 miles per hour. If she drives for four hours, what is the
total distance she drives?
Answer:
240
Step-by-step explanation:
60 x 4
Answer:
240 miles
Step-by-step explanation:
If she's going 60 miles per hour and she drives 4 hours then you multiply those two numbers together and get that she has drove 240 miles.
A large banquet room holds 288 people with each table seating 8. How
many tables will the banquet hall have without going over its capacity?*
Answer:
The answer is 36
Step-by-step explanation:
First you have to divide 288 by 8 and then you have to see how many times 8 will go into 2 it can't so see how many times it will go into 28 which is 3 and you will get 24 then you subtract 24 from 28 and you get 4 then bring down the 8 an it 48 now see how many times 8 will go into 48 which is 6 times and you get 48 then you subtract 48 by 48 and you get 0 so the answer is 36HOPE THIS HELPEDOrdena, de menor a mayor, las siguientes
medidas de masa.
11.6 mg, 1021 ug, 0.6 cg, 0.31 mg
Quien me puede ayudar
Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.
Answer:
The measures of the four angles at B are
m∠EBC = 34°
m∠ABH = 34°
m∠EBA = 146°
m∠CBH = 146°
Step-by-step explanation:
∵ AC // DF
∵ HG is the transversal
∴ m∠GEF = m∠EBC ⇒ corresponding angles
∵ m∠GEF = 34°
∴ m∠EBC = 34°
∵ GH intersects AC at B
∴ m∠EBC = m∠ABH ⇒ vertically opposite angles
∵ m∠EBC = 34°
∴ m∠ABH = 34°
∵ B ∈ AC
∴ ∠EBC and ∠EBA formed a pair of linear angles
∵ The sum of the measures of the pair of linear angles is 180°
∴ m∠EBC + m∠EBA = 180°
→ Substitute m∠EBC by 34°
∴ 34 + m∠EBA = 180
→ Subtract 34 from both sides
∵ 34 - 34 + m∠EBA = 180 - 34
∴ m∠EBA = 146°
∵ ∠EBA and ∠CBH are vertically opposite angles
∴ m∠EBA = m∠CBH
∵ m∠EBA = 146°
∴ m∠CBH = 146°
PLEASE HELP ME!!
It’s due in a couple of hours and I’m having hard time understanding how to do these problems. It’s 40 points, 10 for each problem.
Answer:
11. f(g(3))=5 g(f(-2))=-6
12.f(g(3))=8 g(f(-2))=3
13.f(g(3))=8 g(f(-2))=3
14.f(g(3))=0 g(f(-2))=5
Step-by-step explanation:
NUMBER 3 PLEASEEEEEEEE
Answer:
(-1,3), (1,0)
Step-by-step explanation:
Which of the statements below summarize why a buyer would desire a purchase allowance? (Check all that apply.)
In order to keep defective, but still marketable merchandise, the buyer would need a reduction in the purchase price.
Purchased merchandise was defective or unacceptable.
The buyer purchased a large amount of merchandise and was eligible for a reduced purchase price.
The seller could not pay within the discount period.
Answer:
First two options correct
Step-by-step explanation:
I got it from answer key