- 1/3 x + 12 = -2x + 2 ?

This question is incomplete, the complete question is;

A screening examination was performed on 250 persons for factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted here:

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

a) Based on the information provided, The sensitivity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

b) Based on the information provided, The specificity of this test is expressed as: A. 30%. B. 80%. C. 56%. D. 70%. E. 7%.

Answer:

a)

The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b)

The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Step-by-step explanation:

Given the data in the question;

Test Results                            Disease Present                  Disease Absent

Positive for Factor X                     40                                        60

Negative for Factor X                   10                                         140

Number of persons affected by disease with positive factor of X = 40

Number of persons with negative factor of X  without the disease = 140

Total number of persons affected by the disease = 40 + 10 = 50

Total number of persons not affected by the disease = 60 + 140 = 200

a) Sensitivity of the Test;

Sensitivity = [( Number of persons affected by disease with positive factor of X ) / ( Total number of persons affected by the disease )] × 100

we substitute

Sensitivity = [ 40 / 50 ] × 100

Sensitivity = 0.8 × 100

Sensitivity = 80%

Therefore, The sensitivity of this test is expressed as 80%

Option B) 80% is the correct answer.

b) The specificity of the test;

Specificity = [ ( Number of persons with negative factor of X  without the disease) / ( Total number of persons not affected by the disease ) ] × 100

we substitute

Specificity = [ 140 / 200 ] × 100

Specificity = 0.7 × 100

Specificity = 70%

Therefore, The specificity of this test is expressed as 70%

Option D) 70% is the correct answer.

Answer:a plus plumbing charges 60 for each hour of work plus a one time fee of 80 dollars

quality plumbing charges 50 for each hour of work plus one time fee of 150

t or f quality plumbing charges the least for 5 hours of work false

Step-by-step explanation:

I think this is correct, no time to explain if you need this answer fast

Answer:

0.1057

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 32 oz

μ is the population mean = 33 oz

σ is the population standard deviation = 0.8oz

For x < 32 oz

z = 32 - 33/0.8

z = -1.25

Probability value from Z-Table:

P(x<32) = 0.10565

Approximately = 0.1057

Therefore, the proportion of packets that are underweight (i.e. Weight less than 32 oz.) are 0.1057.

Answer:

7x-15/5

Step-by-step explanation:

Given :-

And , we need to solve for y in terms of x . So taking the given equation ,

[tex]:\implies[/tex] 7x - 5y = 15

[tex]:\implies[/tex] -5y = 15 - 7x

[tex]:\implies[/tex] 5y = 7x - 15

[tex]:\implies[/tex] y = ( 7x - 15)/5

Answer:

336

Step-by-step explanation:

120*3 is 360.

360= 24 + ___

360-24 is 336

Answer:

432

Step-by-step explanation:

24+__=120

      144*3

        =432

Hope This Helps, Have a great day!

Answer:

2/3

Step-by-step explanation:

7/12+1/12=8/12

8  / 4     2

12 / 4     3

Final answer 2/3

Answer:

16

Step-by-step explanation:

x + 3= 9

x = 6

2x + 4= 2*6 + 4

2x + 4 = 12 + 4

2x + 4 =16

Charlies 16

hope it helps

Answer: he is 16

Step-by-step explanation:

Let x = Frank's age

2x+4+ = Charlie's age

x+3+ = Bob's age

9 = Bob's age

x+3=9

x=6

2x+4=2⋅6+4

2x+4=12+4

2x+4=16

Charlie is 16

Hope this help!!!!!!! :)

Quantity of flour needed to make 20 pancakes =

Then , number of pancakes that can be made from 1 cup of floor :-

.

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Step-by-step explanation:

Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V=  π*25*20

V= 500π m^3

Hence the volume is  500π m^3

Answer:

30,000

Step-by-step explanation:

31623

1 is less than 5 so you dont round up

30,000

-- Gage Millar, Algebra 2 Tutor

Answer:

83 ounces

Step-by-step explanation:

2 lb 11 oz + 2 lb 8 oz = 4lb 19oz

REMEMBER: 1 pound = 16 oz

4 lb x 16 = 64 oz

64 oz + 19 oz = 83 oz

Answer:

20

Step-by-step explanation:

Answer:

3a-b

3×4-6 solve by using the rules of BODMAS

12-6

6(ans)

Hope it helps

Answer:

Division Property: divide both sides by 2

Step-by-step explanation:

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Answer:

36 m 32 s

Step-by-step explanation:

67 /110 = 0.609 hour

0.609 × 60 minutes = 36.54 minutes

36 minutes + 0.54×60 second

= 36 minutes 32 seconds

Answer:

36 mins 32 secs

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]\text{b. }\sin \theta =\frac{3}{5}[/tex]

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\tan \theta =\frac{3}{4}[/tex] as given in the problem, then the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse. Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h).

Answer:

O $225.00

Step-by-step explanation:

Given that

The one of the flight was 350 miles

And, its residual is 105

The regression line is y = 102.50 + 0.65x

where

y denotes the expected fare

And, x denotes the distance

We need to find out the fair of the flight

So,

y = 102.50 + 0.65 (350)

= 330.00

Now the fare is

= 330 - 105

= 225

Answer:

(C) 225 Is correct.

Predicted cost - residual = answer

y= 102.50 + .65(35)

330 - 105 = 225

255

ED2021

Answer:

B. (2x + 10)(2x + 9)

Step-by-step explanation:

Length (L) of the garden and walkway = x + 10 + x = (2x + 10) ft

Width (W) of the garden and walkway = x + 9 + x = (2x + 9)

Area of the garden and walkway = area of rectangle = L*W

= (2x + 10)(2x + 9)

The polynomial representing the total area of the garden and walkway = (2x + 10)(2x + 9)

I don't know in letter b.

#CaRRyOnLeArniNG

Answer:

A = 1.26

B = 1.22

Store B is better

Step-by-step explanation:

5.04 divided by 4

2.44 divided by 2

Answer:

Step-by-step explanation:

add all the numbers together to get your answer and divide it by two.

Answer:

Hello! answer: 12

Step-by-step explanation:

Assuming this is the Pythagorean theorem we would usually solve for c but c is already found so we have to work backwards so... 15 × 15 = 225

9 × 9 = 81 225 - 81 = 144 √144 = 12 therefore 12 is the answer Hope that helps!

Answer:

I am not sure if I am right, but in my opinion, it is a valid sample, since they are participating and getting paid, so I would personally go for the third option, but the decision is on you.

Answer: the first one :-)

Step-by-step explanation:

Answer: A,

Step-by-step explanation:

they aren’t talking about one day, so that excludes b anc c, and they aren’t talking about predicting weather, so it’s not d, and has to be A

Answer:

where each row and column sum up to 20

2    4    6    8  

4    2    6    8

6    6    4    4

8    8    4    0

Step-by-step explanation:

The sum of twenty using numbers 0 - 9

where each row and column sum up to 20

2    4    6    8  

4    2    6    8

6    6    4    4

8    8    4    0

when you sum up each of the row or each of the column the sum = 20

given that the diagonals are not included the sum of diagonals > or <  20

The correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

What is a fraction ?

A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.

It is given that Callie wrote a number to show the change in volume of a water cooler after practice which is :

= [tex]\frac{-9}{10}[/tex]

Let's check from the given options which is the correct one.

A)

- [tex]\frac{9}{-10}[/tex]

if we multiply and divide by -1 then we find that the given fraction is equal to :

= [tex]\frac{9}{10}[/tex]

This is not equal to what Callie has written.

B)

[tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume. So , this is a correct option.

C)

[tex]\frac{-9}{-10}[/tex] will be equal to [tex]\frac{9}{10}[/tex]. This is because there is negative sign in both numerator and denominator of the fraction , and they will get cancelled. So, this option is not correct.

D)

[tex]\frac{9}{10}[/tex] is not equal to [tex]\frac{-9}{10}[/tex]. To equal both we need to multiply [tex]\frac{9}{10}[/tex] by -1. Thus this option is also not correct.

Therefore , the correct option is option B that is [tex]\frac{-9}{10}[/tex] is the same number as Callie has written to show the change in volume.

Learn more about fractions here :

https://brainly.com/question/17220365

#SPJ2

Answer:

260m

$73.2

Step-by-step explanation:

For what amount of driving do the plans cost the same?  

 What the cost when the two plans cost the same?

first plan = 42 + 0.12m

second plan = 55 + 0.07m

42 + 0.12m  =  55 + 0.07m

collect like terms

55 - 42 = 0.12 - 0.07m

13 = 0.05m

m = 260

42 + 0.12(260) = 73.2

Answer:

[tex]\implies y = \dfrac{1}{2}x + 1 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the equation of the line passing through the given two points .So here we can use the two point form of the line as ,

[tex]\implies (y - y_1) = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1) [/tex]

Let us take that ,

Now substitute the respective values ,

[tex]\implies (y -3) =\dfrac{3+1}{4+4}(x-4) \\\\\implies y - 3 =\dfrac{4}{8}(x-4) \\\\\implies y -3=\dfrac{1}{2}(x-4) \\\\\implies y -3=\dfrac{1}{2}x - 2 \\\\\implies y = \dfrac{1}{2}x +3-2\\\\\implies y = \dfrac{1}{2}x + 1 [/tex]

Hence the correct option is (2) .