A recent study has shown that 10% of computer science concentrators suffer from symptoms of Carpal Tunnel Syndrome. Researchers have developed a diagnostic test for this condition and in a recent trial, the test gave a positive result in 96% of the patients who were known to truly have Carpal Tunnel Syndrome.
a) For an initial version of the diagnostic test, the false positive rate (the percentage of people without Carpal Tunnel who incorrectly test positive) was 44%. If a student received a positive result from this test, what would be the posterior probability that they truly have Carpal Tunnel Syndrome?
b) The researchers believe their test will be practically useful if a positive result implies the student has Carpal Tunnel with at least 75% probability. What is the largest possible false positive rate that would achieve this accuracy target?

Answer:

x = 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)=−12x−9

(3)(x)+(3)(−6)=−12x+−9(Distribute)

3x+−18=−12x+−9

3x−18=−12x−9

Step 2: Add 12x to both sides.

3x−18+12x=−12x−9+12x

15x−18=−9

Step 3: Add 18 to both sides.

15x−18+18=−9+18

15x=9

Step 4: Divide both sides by 15

15x/15 = 9/15

  so x = 3/5

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Answer:

thankssssssssss cuhhhhhhh

Step-by-step explanation:

lm ao like if they are gonna wait lol

Answer:

dy/dt = y ( 3 - y )

Step-by-step explanation:

Given data:

Determine an autonomous differential equation with the following properties

y = 0 and Y = 3

y' > 0 for  0 < y < 3

y' < 0 for  -∞ < y < 0  and  3 < y < ∞

considering an autonomous differential equation

dy/dt = y ( 3 - y )

y = 0 and 3 represents equilibrium solutions

if 0 < y < 3  then y ( 3 - y ) > 0  for   0 < y < 3

hence : dy / dt = y' > 0  for 0 < y < 3

y ( 3 - y ) <  0  for -∞ < y < 0 and  3 < y < ∞

hence : dy / dt = y' < 0  for  -∞ < y < 0  and  3 < y < ∞

this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :

dy/dt = y ( 3 - y )

Answer:

the answer is 0 because both equations on either side cancel out thereby leaving in bare

Answer:

No:

Step-by-step explanation:

No, there is no way to further simplify this equation, unless there is a value for x.

Answer:

No. x-2 can't.

Step-by-step explanation:

Its the same reason why you can't simplify 1+1. You could add them together, but in a case like this, where one number is unknown you can't. The number is already to its simplifiest form.

Answer:

1500+

Step-by-step explanation:

Answer:

Step-by-step explanation:

yth ok

Answer:

49.95+2.4975(the 5% tax)

Step-by-step explanation:

=52.4475 dollars

Answer:

$52.4475

Step-by-step explanation:

5/100×49.95=249.75

249.75÷100=2.4975

2.4975+49.95=52.4475

Answer:

70 degrees

Step-by-step explanation:

180-120=60

180-(60+50)=70

Answer:

12950

Step-by-step explanation:

Answer:

Step-by-step explanation:

S.I =720×6×5/100×365

=21600/36500

=0.59178

So balance will be 720+0.59178

=720.59178

Answer:

C

Step-by-step explanation:

Answer:

A

number is correct answer

Answer:

11

Step-by-step explanation:

Equation: 8x - 12 = 76

Add 12 to both sides

8x = 88

Divide both sides by 8

x = 11

Hope this helped :)

Answer:

1

Step-by-step explanation:

9 - 3/(1/3) + 1 = 1

Thank you so for hosting this giveaway! The answer is 1 :3

Answer:

n = [tex]\frac{ln(0.69)}{ln(1.04)-ln(0.025}[/tex]   OR   n =0.09953...

Explanation:

I don’t know if my answers are an option for you, but the following pictures show the explanation of it.

Hope this helps and answers you question :)

Answer:

The distance 'd' between T and S:

Step-by-step explanation:

As the point 'T' is located at (2, -4)

And the point 'S' is located at (2, 6)

The distance 'd' between T and S can be computed using the formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]d=10[/tex]

Therefore, the distance 'd' between T and S:

Answer:

t and s

Step-by-step explanation:

Answer:

The GCF of 12 and 28 is 4.

Step-by-step explanation:

hope this helps

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 28 are: 1, 2, 4, 7, 14, 28

Answer:

The GCF is 4.

Step-by-step explanation:

a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?

G does 1/45 job per minute

A does 1/50 job per minute

Together, they do 1/45 + 1/50 = 19/450 jobs/minute

--> 450/19 minutes to do the job

You can use a shortcut, product/sum

50*45/(50+45) = 2250/95

= 450/19

--------------------------------

b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?

This is 7 and 11 hours.

7*11/(7+11) = 77/18 hours

= ~ 4.28 hours

Answer:

6 to 2 2 to 6

Step-by-step explanation:

The ratios for the given situation are 3/7 and 4/7.

Given that, at a dinner party, two desserts are being served.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Six of the guests choose cheesecake, and eight of the guests choose apple pie.

So, the total number of guests = 6+8

= 14

Now, the ratio who chose cheesecake = 6/14

= 3/7

The ratio who chose apple pie = 8/14

= 4/7

Therefore, the ratios for the given situation are 3/7 and 4/7.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

6 years

Step-by-step explanation:

i used a proportional approach

2 (the double)/ 4 years (the time it takes to double)

then compared it to

3(the triple)/ x amount of years

(like this)

[tex]\frac{2}{4} \ \frac{3}{x}[/tex]

then cross multipled

4 times 3= 12

then divided the 12 by the remaining 2 above the 4

Answer:

Yes

Step-by-step explanation:

8 + y = 4x is a linear equation in two variables ( x and y) .

Answer: -7x+4y-z would be the answer

Step-by-step explanation:

Answer: the answer would be 1.75 gallons/hour

Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75

Answer:

7/4 gallons per hour

Step-by-step explanation:

We have to divide the amount of water lost by the lapse of time. So we get

14/8= 7/4

Answer: 85 cents

Step-by-step explanation:

Answer:

$0.85 per banana

Step-by-step explanation:

if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25

Answer:

a

Step-by-step explanation:

i think

Answer:

$15

Step-by-step explanation:

Answer:15

Step-by-step explanation:

2ײ+ 7× + 6

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                        ♥  お力になれて、嬉しいです！♥