The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.
Test Result
Positive Negative
Cancer present 0.21 0.79
Cancer absent 0.06 0.94
In a large study of prostate cancer screening, it was found that about 6.5% of the population has prostate cancer.
A. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).
B. What is the probability that the test is positive for a randomly chosen person from this population?

Answer:

took me time to try and answer your question hope it proves helpful

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Answer:

  C  4x -2y = 1

Step-by-step explanation:

The y-intercept of the offered choices can be found by dividing the constant by the y-coefficient.

  A: not in standard form (coefficients are not integers)

  B: 2/-5 = -2/5 . . . not -1/2

  C: 1/-2 = -1/2 . . . a good candidate

  D: 1/-1 = -1 . . . not -1/2

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

Answer:

Point 1: (6.4, 117)

Point 2: (6.6, 120)

Step-by-step explanation:

Answer:

(3,-3)

Step-by-step explanation:

First, plot the ordered pair (-2,-4). Since you're reflecting the ordered pair across the x-axis, change the -4 to a positive 4. Your new ordered pair should be (-2,4). The order pair when reflected across the x-axis is changing the positive or negative of the y value but keeping the x value the same(simple definition). Afterward, move/translate that reflected ordered pair across 5 units to the right which is (3,4). The last step is to translate that order pair 7 units down which will then give you your answer of (3, -3). I hope this helps you, I tried explaining it the best I could!

The coordinates of the image of the point (-2, -4) will be (3, -3).

Function translation takes a function (and its graph) and, by adding and subtraction, moves the graph around the plane without changing its shape.

Given is a point (-2, -4) which is reflected along the x - axis.

Now, when a point is reflected across the x - axis, then its final coordinates will change according to the rule -

(x, y)  ↔  (x, -y)

The given coordinates are (-2, -4) which on being reflected across the x - axis will  become (-2, 4).

Now, it is given that after reflection, it is translated five units right and seven units down. We can define it by the rule -

(x, y) ↔ (x + 5, y - 7)

So the new coordinates of the image will be -

(-2, 4) ↔ (-2 + 5, 4 - 7) or (3, -3)

Therefore, the coordinates of the image of the point (-2, -4) will be (3, -3).

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Answer:

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function

Step-by-step explanation:

The relation is a function if and only if each input value has only 1 output value

Examples:

Let us solve the question

Use the given figure to find the inputs and their corresponding outputs

Set A →→→→ Set B

∵    -3 →→→→ 2

∵    -4 →→→→ 4

∵     9 →→→→ -2

∵      1 →→→→ 7

∵ Set A is the input and set B is the output

∵ There is only one arrow go from each value in set A to a value in set B

∴ For each number in set A, there is one mapping from set A to set B

∴ The mapping represents a function

For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function

Answer:

90 miles

Step-by-step explanation:

1erhhjbcfikbv

Answer:

90

Step-by-step explanation:

180/2 = 90 (divided by 2 basically is saying half of 100% and in this case 180 is the 100%)

Answer:

iloveyou

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

since it is negative its below

hope this helps :3

if it did pls mark brainliest

Answer:

B. 282 feet below sea level

Step-by-step explanation:

Answer:

21.5%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100.

(sorry if i'm wrong i'm terrible at math)

The percentage increase in price of the phone is equal to 21.5%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: The cost of the old phone as $65 and cost of the new phone as $79

Change in price= 79-65

                          =$14

Therefore percentage change in price is = 14/65 × 100

                                                                    =21.5%

Hence, The percentage increase in price of the phone is equal to 21.5%

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Answer:

5(x-3)

Step-by-step explanation:

If you're looking to factor it, take out the 5

5(x-3)

That's really the only other thing you can do with this equation, I'm not sure what else you could've been asking for lol

Answer:

If your solving for x, then it's 3

Step-by-step explanation:

5x - 15 = 0

5x = 0 +15

5x = 15

x = 15 / 5

x = 3

Answer:

80

Step-by-step explanation:

Answer:

5x+7

Step-by-step explanation:

2x + 6 + ( 3x + 1 )

2x + 6 + 3x + 1

5x +7

Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)

Given, rectangular box with largest volume.

Let f(x , y , z) = xyz

Ф ≡ xy + yz + xz - 2  = 0

[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]

[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]

[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]

xy + yz + xz - 2 = 0........4

Solving the above 4 equations,

[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]

Evaluating the lambda values,

x = y

Similarly, y = z

Therefore, x² + x² + x² - 2 = 0

x = √2/3

y = √2/3

z = √2/3

Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)

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This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

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Answer:

x=6

Step-by-step explanation:

4x-15=2x-3

+15 +15

4x=2x=12

/2 /2 +12

2x=12

/2 /2

x=6

Answer:

#1:

[tex]4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15[/tex]

#2:

Part 1: Solve for x

[tex]6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8[/tex]

Part 2: Plug in x for PQ

[tex]6(8) - 7\\\\48 - 7\\\\41[/tex]

The length of segment PQ is 41.

Part 3: Plug in x for QR

[tex]5(8) + 1\\\\40 + 1\\\\41[/tex]

The length of segment QR is 41.

Part 4: Length of PQ + length of QR = length of PR

PQ + QR = PR

41 + 41 = PR

82 = PR

The length of segment PR is 82.

Answer:

d

Step-by-step explanation:

i looked it up

Answer:

Zero of the function = (-6, 0)

Step-by-step explanation:

Let the equation of the function given in the graph is,

y = mx + b

where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

b = y-intercept of the line

From the graph attached,

Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5

y - intercept 'b' = -9

Therefore, equation of the line will be,

y = -1.5x - 9

Function representing this line will be,

g(x) = -1.5x - 9

Zeros of the given function will be,

g(x) = 0 Or x-intercept

-1.5x - 9 = 0

x = -6

Therefore, zero of the given function is (-6, 0).

Answer:

31, 37

Step-by-step explanation:

common difference is 6

The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

13, 19, 25

The first term is 13 and the common difference is given as,

d = 19 - 13

d = 6

Then the fourth term is given as,

⇒ 25 + 6

⇒ 31

Then the fifth term is given as,

⇒ 31 + 6

⇒ 37

The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.

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Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

Answer:

Yes, both of them are correct.

Step-by-step explanation:

I don't have enough time to explain, sorry!!

Have a wonderful day c:

Answer:

$52

$57.6

Step-by-step explanation:

$20 off $72 is equal to 72-20=$52

20% of $72 is $14.4 which will then lead to 72-14.4=$57.6

Answer:

slope is 4/3 and y intercept is -7

Step-by-step explanation:

3y+21=4x.........now subtract 21 from each side

3y=4x-21......now divide all terms by 3

y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7

Answer:

B (-3,8)

Step-by-step explanation:

awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21

awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.

Best apologies if incorrect

Answer:

The answer is below

Step-by-step explanation:

Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of  270 pounds per tree, therefore:

Y(x) = 270    for x ≤ 30

If it is more than 30 trees the yield decreases by 3 pounds, hence:

Y(x) = 270 - 3(x - 30) = 360 - 3x   for x > 30

The total yield T is given as T(x) = x × Y

T(x) = x × 270 = 270x   for x ≤ 30

T(x) =  x(360 - 3x) = 360x - 3x²   for x > 30

The maximum yield is at T'(x) = 0

T'(x) = 360 - 6x

360 - 6x = 0

6x = 360

x = 360/6

x = 60

T(6) = 360(60) - 3(60²) = 10800 pounds

Answer:

It would be x + 3y = -27.

Answer:

1 hand = 10.16 cm.

Step-by-step explanation: