A rapid strep test is often given in a clinical setting so that, if needed, antibiotics can begin as soon as possible. Researchers at Cochrane.org evaluated the effectiveness of rapid strep tests and found that one type had a sensitivity (ability to correctly detect people with strep) of 85.4% and a specificity (ability to correctly identify people who do NOT have strep) of 95%
Fill in the following chart, assuming that you have a group of 10,000 people, 15% of whom actually have strep throat.
Patient is given a rapid strep test
Result is positive Result is negative totals
Has strep throat
Does not have strep
Totals 10,000
For a population of patients similar to those described in the stem of this problem, use the chart find each of the following probabilities. Write you answer as an abbreviated probability statement with your answer to four decimal places without using a percent symbol. For example, P(strep) = 0.15
A) The probability that a randomly chosen patient has strep throat and tests positive
B) The probability that a randomly chosen patient tests positive for strep throat.
C) The probability that a randomly chosen person actually has strep throat, given that they have tested positive.

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

Answer:

3.6 repeating or 3 and 2/3

Step-by-step explanation:

I did the work on a calculator.

Answer:

f be it is right

Step-by-step explanation:

okay that is it

Answer:

x = 9

Step-by-step explanation:

6x = 4x + 18

6x - 4x = 18

2x = 18

x = 9

Answer:

-9

Step-by-step explanation:

3x−5x+8x=4x+18

Step 1: Simplify both sides of the equation.

3x−5x+8x=4x+18

3x+−5x+8x=4x+18

(3x+−5x+8x)=4x+18(Combine Like Terms)

6x=4x+18

6x=4x+18

Step 2: Subtract 4x from both sides.

6x−4x=4x+18−4x

2x=18

Step 3: Divide both sides by 2.

2x

2

=

18

2

Answer:

Step-by-step explanation:

1.  She omitted the 0 from the minuend, entering 24.59 instead of 204.59

2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4

3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3

Answer:

<5

Step-by-step explanation:

Interior angle Kasi eh hihi

Answer:

0.625

Step-by-step explanation:

Answer:

One of the Numbers is -151 and the other is -144

Step-by-step explanation:

Set up the equations then solve

Answer:

The answer is 20

Step-by-step explanation:

(7-5)=2

2^4 = 16

16 + 4 = 20

Answer:56

Step-by-step explanation:

72% of 200= 144

200-143=56

Answer:

40(i think)

Step-by-step explanation:

Answer: 4 maybe because if its 17 inches divide 68 by 17 and it should give you your answer

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

Answer:

I DONT KNOW BUT YOU HAVE TO CHECK OUT MY QUESTION NO OE CAN SOLVE IT I BET

Step-by-step explanation:

Answer:

1) AB = 10cm

2) 70 degrees

3) 12m

4) 10m

5) 32 degrees

6) 9 + 9 = 18m

Answer:

5 6 7 8 9 10  All the positive number are grater than -10 but if it askes for negative you would you -5 -6 -7 -8 -9

Step-by-step explanation:

With all numbers, whether they are negative, zero or positive: A number is greater than another when it is to the right on the number line. Conversely a number is less than another when it is to the left on the number line.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Delta math

Answer:

18

Step-by-step explanation:

delta math

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Distribution of years of experience:

Mean 3, so [tex]\mu = 3[/tex]

Standard deviation 2, so [tex]\sigma = 2[/tex]

Sample of 4:

[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 3}{1}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Answer:

We cannot calculate this probability because the sampling distribution n ot normal

Step-by-step explanation: Khan academy

Answer:

y=1/2x+1

Step-by-step explanation:

you can literally do rise over run to get the answer

Answer:

$595

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

Answer:

26 = -28 - 12

Step-by-step explanation:

1. 12 x 1 - 12 x 3x

2. 8x - 36

Answer:

x = 1

Step-by-step explanation:

6x + 26 = 8x - 12(1 - 3x)

6x + 26 = 8x - 12 + 36x

6x + 26 = -12 + 44x

-6 + 6x + 26 = -12 + 44x - 6

26 = -12 + 38x

12 + 26 = -12 + 12 + 38x

38 = 38x

38/38 = 38x/38

1 = x

I've already answered this but

1. it is a function

2.it is a function

3.it is not a function

4.it is not a function

hope this helps :)

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

Answer:

The required numbers are 30 and 54.

Step-by-step explanation:

Given that one number is 24 more than the other, so

[tex]y = x + 24[/tex]

Given that the sum of the numbers is 84, so

[tex]x + y = 84[/tex]

so we have two equations

[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]

subtracting the equartions

[tex]y+x=84[/tex]

[tex]-[/tex]

[tex]\underline{y-x=24}[/tex]

[tex]2x=60[/tex]

now solve 2x = 60 for x

[tex]2x=60[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{60}{2}[/tex]

Simplify

[tex]x=30[/tex]

For y - x = 24 plug in x = 30

[tex]y-30=24[/tex]

Add 30 to both sides

[tex]y-30+30=24+30[/tex]

Simplify

[tex]y=54[/tex]

Thus, the required numbers are 30 and 54.

Verification:

Given that one number is 24 more than the other, so

[tex]y = x + 24[/tex]

substitute x = 30

y = 30 + 24

y = 54

Thus, y is 24 more than x.

Given that the sum of the numbers is 84, so

[tex]x + y = 84[/tex]

sustitute x = 30 and y = 54

30 + 54 = 84

84 = 84

L.H.S = R.H.S

Thus,  the sum of the numbers is indeed 84.

Answer:

The right answer is D

Step-by-step explanation:

The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].

Answer:

14 inches

Step-by-step explanation:

I say 14 inches because width for the board at the restaurant is 36 (3×12) and the length is (3×7) so if the width for the board at home is 24 ( 2×12) then the length must be 14 ( 2×7). See what I did?

His home cutting board will be 14 inches long.

Since Emeril is building a cutting board for his home kitchen, and he wants it to be similar in size to the cutting board at gis restaurant, which is 36 inches wide by 21 inches long, and he has enough space on his home counter for a board that is 24 inches wide, to determine how long will his home cutting board be the following cross multiplication calculation must be performed:

Therefore, his home cutting board will be 14 inches long.

Learn more in https://brainly.com/question/24919859