Answer:
The positive predictive value ≈ 30.012%
Step-by-step explanation:
(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06
The percentage people correctly identified as having the disease by the standard diagnostic test = 91%
The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%
Therefore, the sensitivity of the test, P(T + |D) = 0.91
The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92
Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94
Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease
The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives
Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8
Therefore, we have;
[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]
The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased +ve)
[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]
Therefore;
The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%
PLS HELP! I'M SO STUCK!!
Answer:
E
Step-by-step explanation:
i just kinda figured it out
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer:
The last option is correct
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.
Answer:
tangent x = 12/9
Step-by-step explanation:
Hello There!
Once again these are the Trigonometric Ratios
SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tan = Opposite over Adjacent (TOA)
And for this one we are asked to find the tangent of angle x
Remember tangent = opposite over adjacent
opposite - the side length that is opposite of the angle (so the angle will be facing that side length)
adjacent - the side length that is not the opposite nor the hypotenuse
The opposite of angle x is 12 and the adjacent of angle x is 9
so tangent x = 12/9
Cierra is buying juice. She needs 5 liters. A half liter juice cost $2.86. A 250-milliliter container of juice costs $1.05. What should Cierra buy so she gets 5 liters at the lowest price?
Answer: 250 mL Juice container
Step-by-step explanation:
Given
Half liter juice costs $2.86 i.e.
[tex]\dfrac{1}{2}\ L\rightarrow\$2.86\\\\1\ L\rightarrow\dfrac{2.86}{\frac{1}{2}}=\$5.72\\\\5\ L\rightarrow\$28.6[/tex]
A 250 mL juice costs $1.05 i.e.
[tex]250\ mL=0.25\ L\rightarrow \$1.05\\\\1\ L\rightarrow \dfrac{1.05}{0.25}=\$4.2\\\\\Rightarrow 5\ L\rightarrow \$21[/tex]
The cost of 250 mL Juice packet is low for 5 L quantity, therefore, Cierra must buy 250 mL Juice container
If ab=8 and a^2+b^2=16 then what is the valué of (a+b)^2 PLSS HELP NOW
I think that i got it but at the same time not sure but the value of a+b should be 14+20
Part A is already answered
Part B asks: What is the length of the hypotenuse?
Answer:
52
Step-by-step explanation:
Using the Pythagorean theorem
a^2+b^2 = c^2
20^2 + 48^2 = c^2
400 +2304=c^2
2704=c^2
Taking the square root of each side
sqrt(2704) = sqrt(c^2)
52 = c
Answer:
[tex]hypotenuse^{2}[/tex] = [tex]altitude^{2}[/tex] + [tex]base^{2}[/tex]
[tex]hyp^{2}[/tex] = [tex]48^{2}[/tex] + [tex]20^{2}[/tex]
= 2304 + 400
= 2704
∴[tex]hyp[/tex] = [tex]\sqrt{2704}[/tex]
= 52
hope this answer helps you....
A window is designed as shown below. Find the value of x
Answer:
x=20
Step-by-step explanation:
We know that a line is 180 degrees, and the base of the cemi-circle is a line. So, we would have:
x+7x+x=180
9x=180
x=20
Hope this helps!!
Answer:
x = 20
Step-by-step explanation:
x + 7x + x = 180
9x = 180
x = 20
Solve using elimination. 9x − 9y = –18 10x − 9y = –13
Answer:
y = 5, y = 7
Step-by-step explanation:
HELP HELP PLEASE WRING ANSWERS OR LINKS WILL BE REPORTED
Answer:
$0.24 per orange
Step-by-step explanation:
$3.84 / 16 = 0.24
write the answer in the simplest radical form
[tex] \sqrt{56} [/tex]
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=29°, and SQ = 5 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
2.8 feet
Step-by-step explanation:
tan(29)=x/5
5tan(29)=x
2.8=x
Answer:
5.7
Step-by-step explanation:
8c + c=
I will give brainliest if correct
Thank you
Answer:
=9c
Step-by-step explanation:
8c+c=9c
hope this is useful
Find the area of the figure.
Step-by-step explanation:
Area of Rectangle at the top =
Length x Width
[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]
Area of Quarter- Circle = 1/4 x Area of Circle
[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]
Area of Rectangle at the right = Length x Width
[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]
Total Area = Area of 2 Rectangles + Area of Quarter Circle
[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]
I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.
Is it just me or do you guys get annoyed when people give us a whole explanation like, I only need the letter of the answer.
Answer:
Yes lol
Step-by-step explanation:
Well the app says it helps people learn the answers but when I'm in a test i just look at letters:)
Answer:
I mean i'm the type to give a long winded answer. But i guess it depends on the context. Sometimes people ask for an explanation yk? Like most of those ppl who ask questions for History and English need a written response.
help pls and thank uu:)
Answer and Step-by-step explanation:
The answer is 1.
When g(x) is 0, we need to add 4 to both sides, then divide each side by 4 to get the x by itself. We see that x is equal to 1.
0 = 4x - 4
4 = 4x
x = 1
#teamtrees #PAW (Plant And Water)
Who is taller: Randall who stands 68 inches tall or Javier who stands 6 feet tall?
Explain your reasoning. Use the sentence frames below to help you.
Note: 1 foot is equal to 12 inches.
Answer: javier is taller
Step-by-step explanation:
68inches=5' 8"
Lines need to be painted on the field at a football stadium. The painter estimated that one can of paint would last 11 yards. How many cans of paint will be needed to paint the length of the 100-yard field?
I've been stuck on this question for two days :,) the answers are A.8 B.10 C.12 D.14
Can someone please tell me the answer?
Answer:
area = pi*24^2/4 = 452 yd^2
so that means you will need 452/59 = 7.6 (or 8) gallons
Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x
What number could replace t below?
\dfrac{1}{3} = \dfrac{2}{t}
3
1
=
t
2
Answer:
If you go to this link it'll give you a whole explanation and walk how to get your answer:
https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/a/equivalent-fractions-common-denominator-review
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Answer quickly pllllllllllsssssss
What is the solution to the equation below?
4x+8 = 2(x - 4)
A x = -5
B x = 6
Cx = -8
D x = -4
Answer:
C
Step-by-step explanation:
4x +8 = 2x -8
4x = 2x - 16
2x = -16
x = -8
PLS HELP ME PLS ACTUALLY PUT AN ANSWER
Answer:
Hi
Step-by-step explanation:
The answer is B and D.
Hope it's correct.
What are the values of x that would make the line j parallel to line k? Help me please!
Answer:
For line j to be parallel to line k, then x has to be equal to 0
Step-by-step explanation:
if line j is parallel to line k, then the two angles are equal.
They are equal because they would be alternate angles and alternate angles are equal in value
Thus,
3x + 10 = 5x + 10
5x-3x = 10-10
2x = 0
x = 0
what is the solution to the inequality of x+2<5
Answer:
Any number below 3
(2, negative infinity)
Answer:
here's the answer with steps
x + 2 < 5
-2 -2
x < 3
to know if two figures are _______ you have to analyze they have to have the same shape but not the same size
Answer:
Similar!
Step-by-step explanation:
Hope this helps!
Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?
if x=10, write an expression in terms of x for the number 5,364
Answer:
(5,354 + x)
or
536.4*x
Step-by-step explanation:
We know that x = 10.
Now we want to write an expression (in terms of x) for the number 5,364.
This could be really trivial, remember that x = 10.
Then: (x - 10) = 0
And if we add zero to a number, the result is the same number, then if we add this to 5,364 the number does not change.
5,364 = 5,364 + (x - 10) = 5,364 + x - 10
5,364 = 5,354 + x
So (5,354 + x) is a expression for the number 5,364 in terms of x.
Of course, this is a really simple example, we could do a more complex case if we know that:
x/10 = 1
And the product between any real number and 1 is the same number.
Then:
(5,364)*(x/10) = 5,364
(5,364/10)*x = 5,364
536.4*x = 5,364
So we just found another expression for the number 5,364 in terms of x.
i really need help. I don't understand
HEY YOU! YES YOU, HOTTIE PLS HELP ME <3
Which of the following statements is true about the rates of change of the functions shown below?
f(x)=4x
g(x)=4^x
A) For every unit x increases, both f(x) and g(x) quadruple in quantity
B)For every unit x increases, both f(x) and g(x) increases by 4 units.
C) For every unit x increases, f(x) quadruples in quantity and g(x) increases by 4 units.
D) For every unit x increases, f(x) increases by 4 units and g(x) quadruples in quantity.
Answer:
None of the above if there is that answer because one is 4 times and the other is 4 to the x power which is exponential
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
lol I'll take the hottie bit XDDDD
Answer this question
y is less than or equal to three more than the product of x and negative two thirds put it on standard form