Answer:
1,133
Step-by-step explanation:
2%=0.02
$22.66÷0.02=$1,133
Suppose that 100,000 men were screened for prostate cancer for the first time. Of these, 4,000 men had a positive result on the screening blood test; of those who tested positive, 800 had a biopsy indicating a diagnosis of prostate cancer. Among the remaining 96,000 men who screened negative, 100 developed prostate cancer within the following year and were assumed to be false negatives to the screen. a) set-up the two-by-two table for this data. (please provide an actual table) b) what is the prevalence of prostate cancer in this population? c) calculate and interpret the sensitivity of this screening test d) calculate and interpret the specificity of this screening test. e) Calculate and interpret the positive predictive value of this screening test.
An actual two-by-two table is a tabular representation containing two rows and two columns.
The columns consist of the tested True positive for prostate cancer and tested True Negative for prostate cancerThe rows consist of the predicted positive screening and predicted negative values a)Mathematically, the set-up of the two-by-two table for this data can be computed as:
Tested True Positive for cancer True Negative Total
Predicted Positive 800 3200 4000
Predicted Negative 100 95900 96000
Total 900 99100 100000
b)The prevalence rate of prostate cancer in this population is:
[tex]\mathbf{ =\dfrac{900}{100000}}[/tex]
[tex]\mathbf{ =\dfrac{9}{1000}}[/tex]
= 9 per thousand.
c)
The calculation of the sensitivity of this screening is as follows:
[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]
where;
TP = True positive for cancerPN₁ = Predicted Negative for true positive cancer∴
[tex]\mathbf{=\dfrac{800}{800+100}}[/tex]
= 0.889
= 88.9%
The interpretation shows that 88.9% are correctly identified to be actual positive for prostate cancer.
d)The calculation of the specificity of this screening is as follows:
[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]
where;
TN = True positive for cancerPN₂ = Predicted Negative for true negative cancer∴
[tex]\mathbf{=\dfrac{95900}{95900+3200}}[/tex]
= 0.9677
= 96.77%
The interpretation shows that 96.7% of an actual negative is correctly identified as such.
e)
The positive predicted value of the screening test is computed as:
[tex]\mathbf{= \dfrac{TP}{TP + TN}}[/tex]
[tex]\mathbf{= \dfrac{800}{800 + 3200}}[/tex]
= 0.2
= 20%
The interpretation of the positive predicted value of this screening shows that 20% that are subjected to the diagnosis of positive prostate cancer truly have the disease.
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Can the sum of two palindromic numbers be another palindromic number?
Answer:
Every positive integer can be written as the sum of three palindromes, numbers that remain the same when their digits are reverse. For example, 389 = 11 + 55 + 323. This holds not just for base 10 but for any base b ≥ 5.
find all complex solutions of 3x^2-6x+1=0
Answer:
[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]
find the number of outcomes when n = 6 and r = 3. n!
(n−r)!r!
Answer:
20
Step-by-step explanation:
This is the formula for a combination. Substitute the values and evaluate the expression.
[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]
Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.
Answer:
A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.
Step-by-step explanation:
answer above
Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.
this is the correct answer on edge!!
a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form
Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
HELP ME. NO LINKS!! PLEASE
Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
Is (–3, –2) a solution to the equation y = x + –1?
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
A line with a slope of 1 passes through the point (5, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-8
Step-by-step explanation:
Lets do the same thing we did last time
-3=1(5)+?
-3=5+?
The y intercept is -8
CHECK:
-3=1(5)+-8
-3=5+-8
-3=-3
Answer:
y=x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1(x-5)
y+3=x-5
y=x-5-3
y=x-8
Help me solve this please, im really bad at stuff like this
Answer:
given
Step-by-step explanation:
Answer:
statement - reason
BC||AD, <BAD is congruent to <DCB - given
<CBD is congruent to <ADB - alternate interior angles
BD is congruent to BD - reflexive (?)
triangle ADB is congruent to triangle CBD - AAS
AB is congruent to CD - CPCTC (corresponding parts of congruent triangles are congruent)
solve for Y 3y =2(4-2y)+6
Answer:
HOLA MATE HERE IS UR ANSWER:-
Step-by-step explanation:
3y=2(4-2y)+63y=8-4y+63y=14-4y3y+4y=147y=14y=14/7y=2what is the value of f(-8) in f(x)=-3x-9
The value will be .......15.......
f(x) = -3x - 9
Now, substitute -8 in the place of x.
f(x) = -3x - 9
f(-8) = - 3(-8) - 9
f(-8) = 24 - 9
f(-8) = 15
______
Hope it helps ⚜
A group of 8 people are sharing gummy bears each person wants 5 gummy bears each bag has 9 gummy bears
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
The given parameters;
total number of people sharing the gummy bears, n = 8 peoplenumber of gummy bears in each bag, = 9 gummy bearsnumber of gummy bears needed by each person = 5 gummy bearsThe number of gummy bear bags needed to share 5 gummy bears to each person is calculated as follows;
let the number of gummy bears bag = x
[tex]\frac{9x}{8} = 5\\\\9x = 40\\\\x = \frac{40}{9} \\\\x = 4.4[/tex]
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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.03 + six tenths equals
is ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) a function
Answer:
No
Step-by-step explanation:
No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
Answer:
option B is correct answer. ∆SVZ~=∆YVX, SSS
Step-by-step explanation:
reasons,
VY=VS, S
YX=SZ, S
VX=VZ, S
therefore, ∆SVZ~=∆YVX.
hope this helps you.
The two triangles are congruent by side angle side property. The correct option is A.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
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Solve x + 5x – 14 = 0
Hey there!
Solve the equation:
Answer :x = 7/3 ✅
Explanations:x + 5x - 14 = 0
>> Add 14 to both sides :
x + 5x - 14 + 14 = 0 + 14
x + 5x = 14
6x = 14
>> Divide each side by 6 :
6x / 6 = 14 / 6
x = 14/6
Simplify the result :
14 / 6 = 2*7 / 2*3 = 7/3
Therefore, your answer is 7/3 .
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Have a good day :)
In a class of 36 students, 27 download rap music onto their mobile phones.
What percentage of the students listen to rap music?
Approximately 75% of the students in the class listen to rap music.
Percentage is a way of expressing a proportion or a fraction of a whole quantity in terms of 100. It is denoted by the symbol "%". The term "percent" comes from the Latin word "per centum," which means "per hundred."
To calculate the percentage of students who listen to rap music, you can use the following formula:
Percentage = (Number of students who listen to rap music / Total number of students) * 100
In this case:
Number of students who listen to rap music = 27
Total number of students = 36
Percentage = (27 / 36) * 100 ≈ 75%
So, approximately 75% of the students in the class listen to rap music.
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PLEASE HELP!!!!!!!!!!!!! ASAPPP
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Hey there!
3 + 4 × 1^2
= 3 + 4 × 1
= 3 + 4
= 7
[Jo is correct] whereas Mia is incorrect because she misunderstood the question.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Graph the line with a slope of −1 that contains the point (3,6)?
Answer:
y=-x+9
Step-by-step explanation:
The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is [tex]y-y_{1}=m(x-x_{1})[/tex]. So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.
On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.
Pls help I’ll brainlest
Complete the activities below
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]
y = mx + b
"b" is y-intercept
~~~~~~~~~~~~~~~~~~~
(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?
2
3
4
5
Answer: The missing digit is 2.
Step-by-step explanation:
4,912*22= 108,064
Which of the following statements are true? Select all that apply.
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180° because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
The true statement are
2. <1 + <3 = 180 because form a straight angle.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
What are parallel lines?
Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions.
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As, from the figure
1. <3 = <2 because of vertically opposite angle.
Hence, it is false
2. <1 + <3 = 180 because form a straight angle.
Hence, it is true.
3. ∠3 ≅ ∠6 because they are alternate interior angles.
Hence, it is true.
4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.
Hence, it is true.
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Anna categorized her spending for this month into four categories: Rent, Food, Fun, and Other.
If Anna spent a total of $2900 this month, how much did she spend on Rent?
Answer:
.26 * 2900= 754 dollars
Step-by-step explanation:
I'm not sure if it's right.
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I count on in equal steps,
My fourth number is 39, my fifth number is 43.
2
39
43
What is my first number?
Anyone know?
common difference=d=43-39=4
We need first term a
[tex]\\ \sf{:}\dashrightarrow a_5=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4d=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+4(4)=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a+16=43[/tex]
[tex]\\ \sf{:}\dashrightarrow a=27[/tex]
Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73
Answer: The answer is the last option, Option D.
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answer:
Step-by-step explanation:
The diner ordered 144 bagels. The order was for 80% plain 20% sesame bagels. An employee says that the diner should receive 43 sesame bagels. Explain whether the employee’s statement is sense (true) or nonsense (false).
Answer:
nonsense
Step-by-step explanation:
[tex]144\times0.2=28.8[/tex]
This employees statement is nonsense, as 43 sesame bagels is far more than the 29 they should expect when they order 20% of 144 bagels.
Answer:
it's nonsense. coz a person can't receive 43 sesame Bangles. it is not the actual number of sesame Bangles she should receive.
Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.
Answer:
15.48
Step-by-step explanation:
When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.
Answer:15.48
Step-by-step explanation:
15.48
