A right triangle has side lengths of 5 inches, 12 inches, and 13 inches. The triangle will be rotated 180° about a point.
What is the length of the longest side of the triangle after the rotation? Enter the answer in the box?

An actual two-by-two table is a tabular representation containing two rows and two columns.

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  

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.

The calculation of the sensitivity of this screening is as follows:

[tex]\mathbf{=\dfrac{TP}{TP+PN_1}}[/tex]

where;

∴

[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.

The calculation of the specificity  of this screening is as follows:

[tex]\mathbf{=\dfrac{PN_2}{PN_2+TN}}[/tex]

where;

∴

[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.

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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Answer:

.26 * 2900= 754 dollars

Step-by-step explanation:

I'm not sure if it's right.

Answer:

Step-by-step explanation:

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]

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

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.

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]

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.

Answer:

Im thinking its y=-2x but Im not 100% sorry if its wrong

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.

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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#SPJ2

Hey there!

Solve the equation:

x = 7/3 ✅

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 .

More about equations:

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Have a good day :)

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!!

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer: The answer is the last option, Option D.

At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.

The given parameters;

The 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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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! :-)

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

~~~~~~~~~~~~~~~~~~~

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.

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 ⚜

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:)

HEY

For variables at ordinal level use Spearman's correlation. However, Chi-Square is also suitable to use for test of significance with cross tabulation of ordinal level data

thank me later

carryonlearing

✨ jufaith ✨

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.

Answer: The missing digit is 2.

Step-by-step explanation:

4,912*22= 108,064

Step-by-step explanation:

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]

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

Answer:

the answer to the question is c

Multiple choice questions = 5

True questions = 15

Given that:

Total number of questions = 20

Total worth of point = 100

Multiple choice questions (M) = 11 points each

True false questions (T) = 3 points each

Hence,

M + T= 20 ____(1)

11M + 3T = 100 ____(2)

M = 20 – T

Using the relation in (2)

11(20 – T) + 3T= 100

220 – 11T + 3T= 100

220 – 8T = 100

-8Tf = 100 – 220

-8T = – 120

T = 120/8

T = 15

Mc = 20 – 15

Mc = 5

Multiple choice questions = 5

True false questions = 15

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation: