A​ new, simple test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 1000 adults and finds​ (by other​ means) that ​3% have this type of cancer. Each of the 1000 adults is given the​ test, and it is found that the test indicates cancer in 99​% of those who have it and in ​2% of those who do not. Based on these​ results, what is the probability of a randomly chosen person having cancer given that the test indicates​ cancer? Of a person having cancer given that the test does not indicate​ cancer?

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

bc I added 7+5 equals 12

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that [tex]\mu = 5.11, \sigma = 0.07[/tex]

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

[tex]-1.34 = \frac{X - 5.11}{0.07}[/tex]

[tex]X - 5.11 = -1.34*0.07[/tex]

[tex]X = 5.02[/tex]

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

[tex]1.34 = \frac{X - 5.11}{0.07}[/tex]

[tex]X - 5.11 = 1.34*0.07[/tex]

[tex]X = 5.2[/tex]

The diameter that separates the top 9% is 5.2 millimeters.

Answer:

y =4 and x=6 hope it may help u

Answer:

7,078,912 cents

Step-by-step explanation:

Given the formula for calculating the value of the account in t years as;

V = Pe^rt

P is the principal initially invested

e is the base of a natural logarithm,

r is the rate of interest

t is the time

Given

P = $51200

r = 5.4% = 0.054

t = 6years

Substitute

V = 51200e^(0.054)(6)

V = 51200e^(0.324)

V = 51200(1.3826)

V =  $70,789.12

V = 7,078,912 cents

hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents

Answer:

Step-by-step explanation:

The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.

Answer:

I have made it in above picture

Using the Pythagorean theorem:

X = sqrt(21^2 - 19^2)

X = sqrt(441 - 361)

X = sqrt(80)

X = 8.944

Rounded to the nearest tenth = 8.9

Answer:

x = ~8.9

Step-by-step explanation:

a^2 + b^2 = c^2

c is the long side

a and b are the other two shorter sides

this means

x^2 + 19^2 = 21^2

x^2 + 361 = 441

x^2 = 441- 361

x^2 = 441- 361

x^2 = 80

square root of 80 = ~8.9

x = ~8.9

Answer:

The value of the expression is 78

Step-by-step explanation:

Answer:

Step-by-step explanation:

{18÷(2+4)}+3×2 = {18÷6}+3×2

= 3+3×2

= 3+6

= 9

Answer:

It is correct

Step-by-step explanation:

Gr8 job

Answer:

Vertex = (-1, 2)

Maximum

Step-by-step explanation:

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

Answer:

Step-by-step explanation:

60 / 27 = 80 / 2x ---- ( by B.P.T )

2x = 27 × 80 ÷ 60

2x = 36

x = 36÷2

x = 18

Answer:

it is A

Step-by-step explanation:

because there is negative 3 and a positive 9

Answer:yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you remove the triangle, they will continuously go on both sides with one on the other.

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

-2-5= 3

Answer:

37.625 square yards or 37⅝ square yards

Step-by-step explanation:

Area of the triangle = ½*base*height

Where,

base = 10¾ yd = 10.75 yds

height = 7 yds

Substitute the value of each variable into the equation:

Area = ½*10.75*7

Area = 37.625 square yards or 37⅝ square yards

9514 1404 393

Answer:

  $7

Step-by-step explanation:

Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...

  14r +12g = 206

  g = 2r -5

Using the second equation to substitute for g in the first equation, we have ...

  14r +12(2r -5) = 206

  38r -60 = 206

  38r = 266

  r = 266/38 = 7

The cost of one rose bush is $7.

Answer:

27.5

Step-by-step explanation:

To find the mean you basically just add all of the numbers then divide by how many there are.

So, for this problem, 19+22+24+45=110

110/4=27.5

Hope this helped!!

Answer:

D move 6 units to the left and land on -9

Step-by-step explanation:

The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps

Answer:

D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level

Answer:

5,040 play list arrangements. its very complexe and will hurt to type srry

Step-by-step explanation:

Answer:15

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

9×3=12

12×3=15

So the answer is 15

Answer:

170 cm²

Step-by-step explanation:

Formula for the area of a parallelogram is A = bh or area = base times height

10 cm x 17 cm = 170 cm squared

Answer:

x =16, y = 151.2

Step-by-step explanation:

Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,

[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]

Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,

[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]