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. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. 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).
Answers
The missing table for the Test Result can be expressed as:
Test Result
Positive Negative
Cancer Present 0.21 0.79
Cancer Absent 0.06 0.94
Answer:
Step-by-step explanation:
A tree diagram is an elegant way of determining an exhaustive list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.
The tree diagram for selecting a person from the population in the given question can be found in the attached image below.
Related Questions
Meandre has 8 pints of milk. If he drinks ¼ of a pint of milk each day, how long will the 8 pints of milk last him?
Answers
Answer:
16 days
Step-by-step explanation:
1/4 = 0.25
8 divied 32
In multiplacation
8 time 4 = 32
8 pints of milk will last for 32 days.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Total amount of milk Meandre has = 8 pints
Amount of milk drinking in 1 day = 1/4 pint
We have to calculate the number of days that 8 pints of milk will last.
Let x be the required number of days.
Using the concept of proportion,
(1/4) / 1 = 8 / x
1/4 = 8 / x
x = 8 × 4
x = 32
Hence total number of days that 8 pints of milk will last is 32 days.
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Perform the indicated operation.
Let C =[1
-3 and D= [-1
2] 3
-2
Find C - 4D.
Answers
Answer:
Cinema 4d
Step-by-step explanation:
fully reduce 18/10 plz i need help
Answers
Answer:
9/5
Step-by-step explanation:
ignore the black words on the bottom but i’ll be giving brainliest!
Answers
Answer:
2. the figure has rotatinal symetry
Step-by-step explanation:
Answer:
1. x = 4; y = 7
2. rotational symmetry.
3. No. 360°÷ 50° is not a whole number, so the points will not be evenly spaced all the way around the center.
Step-by-step explanation:
hi again ♡
hellllllllllllllllllp
Answers
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point
Generally accepted accounting principles require companies to use only one factor overhead rate for product costing True or False?
Answers
Answer:
i think its false :>
Step-by-step explanation:
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
Answers
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
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2.
A line goes through the points (0, 10) and (-1, 1).
2a
What is the slope of the line?
Answers
Answer:
9
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1 -10)/(-1 -0)
= -9/-1
= 9
Answer:
9
Step-by-step explanation:
1 - 10 / -1 +0 = -9 / -1 = 9
Need HeLpPPPP please :)
Answers
Answer:
x= 15/16
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
Which graph models a relationship with the same unit rate ?
Answers
kendsgkjdbgfz
Step-by-step explanation:
need help rn will give brainlyest if correct answer with explaining
unit ratio
Answers
Answer:
1. 2 eggs per person 2. 3 dollars for each pound 3. 5 pages each day
Step-by-step explanation:
hope this helps .
Which equation is an identity?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2
Answers
Answer:
c. 2x + 3 = 1/2(4x+2)+2
Step-by-step explanation:
Hope this helpss!!
Answer:
2x + 3 = 1/2(4x+2)+2
Step-by-step explanation: on edge
Question 2 Multiple Choice Worth 2 points)
Find an equation in standard form for the hyperbola with vertices at (0, +9) and foci at (0, +11).
Oy?
x2
= 1
40 81
y² x²
= 1
81 121
y?
x2
= 1
81
40
O
y?x
121 81
= 1
Answers
2,9,23,51,107
Determine the next terms of sequence
Answers
Answer:
answer is 142
Step-by-step explanation:
need help..................
Answers
Answer:
The answer is D
Step-by-step explanation:
(4x6)^3
(24)^3=13,824
when you multiply 4^3 with 6^3 you get the same answer of 13,824
Answer:
Answer=D
Step-by-step explanation:
(for powers outside a bracket it splits in the numbers inside the bracket)
(4×6)^3
=([tex]4^{3}[/tex]×[tex]6^{3}[/tex]) as in D
To proof
-if we multiply them first we will get 24 and that to the power of three will equal to 13824.
-if we did as in the answer so,
[tex]4^{3}[/tex]×[tex]6^{3}[/tex]
=64×216
=13824
they are equal to each other 13824=13824 so answer D is correct.
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answers
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
The order in which you multiply inverse matrices is not relevant.
True
False
Answers
C is the circumcenter of PQR
PC=3x+7, RC=5x-15 and QC=51-x.
what does RC equal?
Answers
Answer:
[tex] RC = 40 [/tex]
Step-by-step explanation:
Given:
PC = 3x + 7,
RC = 5x - 15,
QC = 51 - x.
Required:
measure of RC
SOLUTION:
Given that C is the circumcenter of ∆PQR, therefore, vertices P, Q, and R are equidistant from C.
So therefore,
[tex] PC = RC = QC [/tex]
Let's find the value of x using:
[tex] PC = RC [/tex]
[tex] 3x + 7 = 5x - 15 [/tex] (substitution)
Collect like terms
[tex] 3x - 5x = -7 - 15 [/tex]
[tex] -2x = -22 [/tex]
Divide both sides by -2
[tex] x = \frac{-22}{-2} [/tex]
[tex] x = 11 [/tex]
Find the measure of RC
[tex] RC = 5x - 15 [/tex]
substitute x = 11 into the equation
[tex] RC = 5(11) - 15 [/tex]
[tex] RC = 55 - 15 [/tex]
[tex] RC = 40 [/tex]
Answer:
40
Step-by-step explanation:
Y=6x+3
Find slope can anyone give me a step by step
Answers
Answer:
slope is 6/1 (or 6)
Step-by-step explanation:
your y-intercept is 3, so that means the point will be (0,3).
from there, you can start plotting points. up 6, over 1 (to the right)
the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
Answers
cross multiply and divide:
51/96 = x/100
5100 = 96x
53.125 = x
hope this helps! let me know if you have any questions :)
What is the range of 12,20,18,25,6
Answers
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
What values are the solutions for x2 + 2x = 8?
Answers
Answer:
x=4,-2 hope this helps!!
Step-by-step explanation:
How do i graph y=4x + 5
Answers
Answer:
it would look like the picture below
Step-by-step explanation:
The fraction 24/28 In simplest form is____.
12/14
48/56
6/9
6/7
Answers
Answer:
6/7
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
divide it by 4
which number makes the number sentence true? (6+9)+4=4+?
Answers
Answer
(6+9)+4=4+15
Step-by-step explanation:
First you would do (6+9) because it's in parenthesis. (6+9)= 15. So now our equation looks like 15+4=4+? Next we will do 15+4=19. 19=4+? is the new equation. Now the final step is to do 19-4=15 which is what we will plug into the equation.
PLS HELP ASAP
Write a word problem that can be represented by the expression 5/6 divided by 1/3.
Answers
Answer:
I have 5/6 of a candy bad and I want to give each of my 3 friends some. How much would each friend get?
Step-by-step explanation:
The word problem that can be represented by the expression 5/6 divided by 1/3 is "There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that".
Given :
The expression 5/6 is divided by 1/3.
The following steps can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3:
Step 1 - The knowledge of arithmetic operations can be used in order to determine the word problem that can be represented by the expression 5/6 divided by 1/3.
Step 2 - There are a total of 5/6 chocolates. Divide these chocolates such that each person will get 1/3 part of that.
Step 3 - Solve the above problem by dividing 5/6 by 1/3.
[tex]= \dfrac{5\times 3}{6\times 1}[/tex]
= 2.5
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Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
with the same amount in each container. How much flour will be in each
container? *
Answers
Answer:
4/35 pounds
Step-by-step explanation:
4/7 ÷ 5 is the same as
[tex]\frac{4}{7} * \frac{1}{5}[/tex]
4x1/7x5
= 4/35
Answer:
4/35
Why?
To figure this out I had to make 5 into a fraction. 5/1. Now, I had to find a common denominator. 35. From there I changed both fractions, divided them, and got my answer.
-3 times (7+(-3) to the second power) divided by 3
Answers
Answer:
-18
Step-by-step explanation:
enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?
Answers
Answer:
9
Step-by-step explanation:
you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.
What is the value of -8(17-12)/-2(8-(-2))
Answers
Answer:
it's 2 got it right on edg
Step-by-step explanation: