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:

17.5

Step-by-step explanation:

[tex]1.75 \div 0.1 = 17.5[/tex]

Answer:

i think letter D because it's same

Answer:

one solution

Step-by-step explanation:

Answer:

90+4n less than or equal to 330

Step-by-step explanation:

since craig weighs 90 pounds. he will be a constant weight

Since each package weighs 4 pounds, the variable will be 4n

The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side

the final equation will be:

90+4n less than or equal to 330

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

Answer:

y=2x+4

i think that is the answer

Answer:

-2/15

Step-by-step explanation:

The above answer is correct! The correct response is A.

Just got it right on edge 2020, hope this helps!! Good luck, and have a great day! :)

The solution is, Using a half-angle identity we get the exact value of

sin 3pi/8 is ±√[(2 + √2) / 4].

Here, we have,

The half angle formula of sin in trigonometry is

sin A/2 = ±√[(1 - cos A) / 2].

If 0 < x < π/2 , then cos x > 0.

now, we have,

sin 3pi/8

here, A/2 = 3pi/8  so, A = 3pi/4 = 6π/8

applying this  half angle formula of sin in trigonometry

we get,

sin 3π/8 = ±√[(1 - cos 6π/8) / 2]

              = ±√[(1 + 1/√2) / 2]

              = ±√[(2 + √2) / 4]

so, we get,

sin 3π/8 = ±√[(2 + √2) / 4]

Hence, The solution is, Using a half-angle identity we get the exact value of sin 3pi/8 is ±√[(2 + √2) / 4].

For more such question on sin in trigonometry visit:

brainly.com/question/26098092

#SPJ6

Answer:

1/45

Step-by-step explanation:

Answer:

11x + 45y ≤ 225

Step-by-step explanation:

So he has 150 + 75 = 225. you then would do

11x + 45y ≤ 225

Answer:

225 ≥ 11x + 45y

Step-by-step explanation:

150 + 75 = 225, so $225 is what Harry has to work with.

Harry can't spend more than $225, hence the "more than or equal to" sign.

"x" represents the number of movie tickets, which cost $11 each. "y" represents the number of video games, which are $45 each.

You must combine these terms to equal a number less than or equal to 225.

Answer:

add both sides ny 9.6 and divide both sides by 3.2, hope this helps!

Answer:

(a) 2.6 m^2

(b) 3.9 m^3

Step-by-step explanation:

(a)

ABCD is a trapezoid.

A = (B + b)h/2

A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2

(b)

The skip is shaped like a prism with trapezoidal bases.

V = area of base * height

V = 2.6 m^2 * 1.5 m = 3.9 m^3

Answer:

The correct answer is that x = 0.

Answer:

x=0

Step-by-step explanation:

6+x=6

x=6-6

x=0

Answer:

3t-10

Step-by-step explanation:

[tex]( \frac{12t}{8} - 5)2[/tex]

[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]

[tex] = ( \frac{12t - 40}{8} )2[/tex]

[tex] = ( \frac{2(12t - 8)}{8} )[/tex]

[tex] = 3t - 10[/tex]

Answer:

It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.

Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.

Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.

Answer:

Step-by-step explanation:

7.5

Answer:

if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]

Answer:

m= 1

Step-by-step explanation:

find to ordered pair on the graph and [tex]y^{1} - y^{2} \\ x^{1} - x^{2}[/tex]

Answer:

5x-27.95=profit

5(34)-27.95

170-27.95

$142.05

Answer:

the answer is 21

Step-by-step explanation:

If they drink 1,095 cups per year, and there are 52 weeks in a year, you would divide 52 from 1,095(1,095/52) to get your answer which is 21.05769231. If you round it to the nearest whole number, than it is 21. I hope this helps have a great day.

Answer:

8:56

Step-by-step explanation:

3:7

24/3=8

8 times 7=56

Answer:

rational algebraic expression

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  ASA, SSS, SAS

Step-by-step explanation:

AAA is a postulate used to prove similarity. Congruence cannot be proved without including at least one side.

  ASA, SSS, SAS postulates can be used to prove congruence

Answer:

domain (-∞, ∞)

range [-3,∞)

Step-by-step explanation:

domain is the x value and range is the y value. Since its an absolute value the y value rises from both sides of the x value in a 45° angle.

Answer:

6

Step-by-step explanation:

U divide 18 by 3.

Answer:

9

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)