Answers
Answer:
Step-by-step explanation:
It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.
Related Questions
The diagonals of a rectangle are always
Answers
Answer:
The diagonals of a rectangle are always congruent
Answer:
Step-by-step explanation:
Diagonals of a rectangle are always congruent.
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.
Answers
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.
Learn more about tabular representation here:
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Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}
Answers
Answer:
only{(0,0), (3,0), (5,0)} (the x axis)
Step-by-step explanation:
as all the others have more than one possible output y for a unique input x
There are 9 3/5 pounds of bricks in the bag each brick weights 1 1/5 pounds ? How many bricks are in the bag
Answers
Answer:
there are 6 bricks in th ebag
Step-by-step explanation:
6 bricks in the bag.....
What is the inverse of y=5x-5
Answers
Answer:the answer is in the picture below
Step-by-step explanation:plz give brainlist
Pardon me I don't mean to pry I saw the tears falling from your eyes and I thought you're too pretty to not wear a smile hope you don't mind if I sit down for while
NAME THE SONG AND THE SINGER 50 POINTS!!!!!!!!!!
Answers
Answer: Jon Pardi - Tequila Little Time
Step-by-step explanation:
I don't even know what this song is, but I searched it up.
A house on the market was valued at $233,000. After several years, the value decreased by 15%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:
Current house value:
Answers
Answer:
decrease: $34,950current value: $198,050Step-by-step explanation:
The decrease in value is ...
15% of $233,000 = $34,950
The current house value is ...
$233,000 -34,950 = $198,050
Use the distributive property to simplify this expression -2x(3x + x-5)
Answers
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
8x+10x
18x.
A small boat leaves a port town and travels due north for 7.4 miles and then turns due east for 3.6 miles
and stops. If the boat's captain then turns back to town. a) how far does the boat travel and b) along
what bearing would the boat have to travel from its stopped position?
Answers
11 miles far does the boat travel
Step-by-step explanation:
hope it helps
The total distance travelled will be 22 miles and the bearing will be 60.89° .
It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.
We have to find out the total distance travelled and bearing from stopped position.
What are bearings ?
A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.
As per the question ;
Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.
So ;
a)
Total distance travelled from port town to destination is ;
= 7.4 miles + 3.6 miles
= 11 miles
And
If boat's captain turns back to town , then total distance will be ;
= 11 + 11
= 22 miles
b)
We know that ;
cos θ = B/H
The bearing would be ;
cos θ = [tex]\frac{3.6}{7.4}[/tex]
cos θ = 0.486
θ = [tex]cos^{-1}[/tex] (0.486)
θ = 60.89°
Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .
To learn more about bearings click here ;
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what is the value of x (100 points)
Answers
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]
Learn more on missing sides of right triangle here: https://brainly.com/question/23987176
Negative five times a number decreased by ten is negative twenty five
What is the equation
Answers
the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base
Answers
A grocery store sells a bag of 6 oranges for $4.38. What is the unit cost?
Answers
Answer:
$0.73
Step-by-step explanation:
Unit cost means per cost. Hence, divide 4.38 by 6 to find the cost of 1 orange.
4.38 ÷ 6
[tex]=\frac{4.38}{6}[/tex]
= 0.73
Therefore, the unit cost is 0.73 dollars.
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT!! (Screenshot)
Answers
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
Answers
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
I have 17 ones, 15 tens, and 7 thousands
Answers
Answer:
You have 7,167
Step-by-step explanation:
If this was to be converted into a whole number, it would be:
7,167
Answer fast plzz... i will give brainly
Answers
Answer:
1.15 inches
Step-by-step explanation:
round to nearest ten thousand
887,173
Answers
if the number after is below 5, round down!
Find the values of the variables.
Answers
Answer:
x = 50
y = 65
Step-by-step explanation:
The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.
y = 65
__
The sum of the angles in a triangle is 180°.
65° +65° +x° = 180°
x° = 180° -130° = 50° . . . . . . subtract 130°
x = 50
Line k passes through the point (6, -7) and has a slope m= -1/2.
Which is the equation of a line that is perpendicular to line k and passes through the
point (-4, 9)?
Answers
Answer:
y = 2x + 17
Step-by-step explanation:
lmk if you want an explanation
8g-f g=-1 f=4 Please show work I have no clue how to do it
Answers
23+4⋅2−7
the 23 is 2 to the third power.
Answers
Answer:
12618
Step-by-step explanation:
23x23x23=12617
4•2=8
12617+8=12625
12625-7=12618
Answer: 9
Step-by-step explanation:
The correct answer to [tex]2^{3} + 4[/tex] ⋅ [tex]2 - 7 = 9[/tex]
I hope that helps :)
in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?
Answers
Answer:
1:3
Step-by-step explanation:
She has 1 snake plant for every 3 orchids.
Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified
Answers
Answer:
The first option as you do what is in parentheses first.
Step-by-step explanation:
find the answer pleasere
Answers
Answer:
b is the answer f(e) gives us b
Find the slope of the line.
Answers
i need help 4 my brother
Answers
Answer:
$1.50
Step-by-step explanation:
pool: 46.50/6=7.75
beach: 46.25/5=9.25
9.25-7.75=1.5
Name each polynomial by degree and number of terms .
1) -10x
2) -10r4- 8r2
3) 7
4)9a6 + 3a5 - 4a4 - 3a2 + 9
5)-3n3 + n2 - 10n + 9
6) 7x2 - 9x - 10
7) -4b
8) -9 + 7n3 - n2
Answers
Answer:
Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.
If 9 : x = x:4, then x = _____. 36 18 24 6
Answers
Solution: 9:x = x:4
⇛9/x = x/4
By doing cross multiplication, we get
⇛9(4) = x(x)
⇛36 = x²
⇛x² = 36
⇛x = √(36)
⇛x = √(6*6)
∴ x = 6 Ans.
also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer
If 9 : x = x:4, then x = 6
Please answer I need step by step explanation
Answers
Answer:
10 cm
Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle
Long explanation/step by step:
It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.
This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.
I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)
now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.