Suppose there is a medical screening procedure for a specific cancer that has sensitivity = .90, and a specificity = .95. Suppose the underlying rate of the cancer in the population is .001. Let B be the Event "the person has that specific cancer," and let A be the event "the screening procedure gives a positive result." What is the probability that a person has the disease given the result of the screening is positive?

Table B lists all the different ways Harry can get to Hogwarts and back. See the attached tables.

One mus tnote that both tables detail all of the alternative routes Harry can take to and from Hogwarts, however Table B is the only one that lists all of the different modes of transportation.

Table B includes all of the potential scenarios in which Harry can use the Knight Bus, Flying Car, or Hogwarts Express to and from Hogwarts, including situations in which he uses the same form of transportation both times. Table A, on the other hand, simply covers transit combinations, not all conceivable outcomes. So it is correct to state that as a result, Table B is the right solution.

See attached tables.

Learn more about Tables:
https://brainly.com/question/10670417
#SPJ1

Every real 3×3 matrix must have at least one real eigenvalue. Eigenvalues are values that represent the scaling factors for the eigenvectors of a matrix. In a 3×3 matrix, the characteristic equation is a cubic equation, which can have either three real roots or one real root and a complex conjugate pair.

However, since we are considering real matrices, the complex conjugate pair is not possible. Thus, the cubic equation must have at least one real root, which corresponds to a real eigenvalue. This can be proven mathematically using the properties of real numbers and the fundamental theorem of algebra.

Therefore, regardless of the specific entries in a real 3×3 matrix, it will always possess at least one real eigenvalue.

To know more about Eigenvalues refer here

https://brainly.com/question/29861415#

#SPJ11

Answer:

The answer you are looking for is B) Function only.

Step-by-step explanation:

A function graph would mean that each x value corresponds to one y value, in a function multiple x values can have the same output but one x value cannot have more than one output.

A relative graph means each x value has their own unique output value and each x value (f(x)) has one output but cannot share that output with any other x value.

In this case x=5 which means it can only be a function.

Hope this helps!

Answer:

Inverse Variation

Step-by-step explanation:

y = k/x

Answer:

Slope 1: y=-1/3x-1.3 (repeating)

Slope 2: y= 4x -1

Step-by-step explanation:

Hope this Helped

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

Learn more about nonzero here:

https://brainly.com/question/31142819

#SPJ11

Answer:

7 brushes (6 when they were equal, but at 7 brushes, it is cheaper at the supply store)

Step-by-step explanation:

To find this one, you are going to write two equations, then go from there. For the art supply store, your slope would but 5x, and your y-int would be 24, (as you have to buy an easel whatsoever). That's y=5x+24. For the paint store, your slope in 6x and your y-int in 18, so that's y-6x+18. You can put these two equations into the Desmos graphing calculator, and it shows you that the lines intersect when x=6, so that's when the price would be equal, but to get a better price at the art supply store, you would have to buy 7 brushes, as that is when the price is better.

Let's solve the equation.

4 (2m -6) - 3p - 2m + 8

= 8m - 24 - 3p - 2m + 8 (We simplified 4 (2m -6))

= 6m - 16 - 3p (We added the 8 to the 24)

= 6m - 3p - 16 (We organized the variables together so it matches an answer.)

The answer is A!

Answer: hii

Step-by-step explanation:

How to solve your problem:

4 (2m -6) - 3p - 2m + 8

Simplify.

Distribute.

4 (2m -6) - 3p - 2m + 8

8m - 24 - 3p - 2m + 8

Add the numbers:

8m - 24 - 3p - 2m + 8

8m - 16 - 3p - 2m

Combine like terms:

8m - 16 - 3p - 2m

6m - 16 - 3p

Rearrange terms:

6m - 16 - 3p

6m - 3p - 16

Solution:

6m - 3p -16

Hopefully this helps you ~

- Matthew

Answer:

zero

Step-by-step explanation:

The CORRECT answer is 2.

(I feel like that's obvious) :/

A similar fraction of 2/3 is 10/15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

In this case, a similar fraction will be:

2/3 = (2 × 5) / 3 × 5

= 10/15

The value is 10/15.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

the variable hypothesized to be the cause is called the independent variable , and the variable hypothesized to be affected is called the dependent variable

What are variables?

A variable is defined as any property, number, or number of items that can be counted or measured. A variable is also known as a data item.

Dependent variables are so designated in spite of  the thought that their values are to be investigated in a laboratory activity.

This can be done under the presumption or requirement that they are dependent on the value of other variables due to some law or rule.

A dependent variable is one that changes as a result of the independent variable's manipulation.

It is the desired outcome, and it is dependent on your independent variable. In statistics, dependent variables are often referred to as output responses.

learn more about of variable here

https://brainly.com/question/13213332

#SPJ4

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

for such more question on normal proportions

https://brainly.com/question/870035

#SPJ11

The relation O is not reflexive, symmetric, and not transitive is one of the following statements that is true about the relation O.  which is option (C).


Given, \(\forall m, n \in Z, m O n \longleftrightarrow \exists k \in Z \mid(m-n)=2 k+1\)
Let's verify for the following relations :
Reflexive relation:
\(\forall a\in Z, a O a \longrightarrow \exists k\in Z \mid (a-a)= 2k+1\)
\(0\neq 2k+1\) for all k \(\in\) Z
Since 2k+1 can never be zero for any k \(\in\) Z, hence we conclude that the relation O is not reflexive.
Symmetric relation:
Suppose a, b \(\in\) Zsuch that a O b i.e. (a-b)=2k+1, where k\(\in\) Z.
Now, we need to check whether b O a is true or not i.e. (b-a)=2j+1 for some j\(\in\) Z
We have,
\((a-b) = 2k+1 \longrightarrow (b-a) = -2k-1 = 2(-k) - 1\)
Let j=-k-1, then we have j\(\in\) Z and 2j+1 = -2k-1
Hence, (b-a) = 2j+1, and we conclude that the relation O is symmetric.
Transitive relation:
Suppose a, b, c\(\in\) Z such that a O b and b O c.
Now, we need to check whether a O c is true or not.
We have,
(a-b)=2k_1+1 and (b-c)=2k_2+1 for some k_1,k_2\(\in\) Z
(a-b)+(b-c) = 2k_1+1 + 2k_2+1
a-c = 2k_1+2k_2+2
Let j=k_1+k_2+1, then we have j\(\in\) Z and a-c=2j
Hence, (a-c) is even and we conclude that the relation O is not transitive.
Therefore, the relation O is not reflexive, symmetric, and not transitive. Hence, option (C) is the correct answer.

To know more about relation: https://brainly.com/question/28827119

#SPJ11

Kate will have to pay $56.25 out of pocket for her doctor visit.

The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.

The formula for calculating the amount Kate needs to pay is as follows:

Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible)  In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.

Learn more about total cost here:

https://brainly.com/question/28652728

#SPJ4

Step-by-step explanation:

can we become friends???

Answer:

6.17

Step-by-step explanation:

add the pepsi wich is 2.19 then do 1.99 x 2 wich would be 3.98 then add them all together

The plot of ∣Ψ(x,0)∣² as a function of δx demonstrates that the Uncertainty Principle holds when the σs are reasonably defined widths.

In quantum mechanics, the Uncertainty Principle states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. The uncertainty in position and momentum is often quantified using the standard deviation, but in this case, the usual standard deviation cannot be calculated.

However, we can still analyze the uncertainty using the wavefunction ϕ(kx), which describes the momentum space distribution of the particle. The wavefunction Ψ(x, 0) is obtained by performing a Fourier transform on ϕ(kx) to obtain the position space representation. The square of the absolute value of Ψ(x, 0), denoted as ∣Ψ(x, 0)∣², gives the probability density of finding the particle at a particular position.

By varying the width parameter δx, which controls the extent of the momentum distribution, we can examine the behavior of ∣Ψ(x, 0)∣². As δx increases, the wavefunction becomes more spread out in position space, indicating a larger uncertainty in position. Conversely, as δx decreases, the wavefunction becomes more localized, implying a smaller uncertainty in position.

The plot of ∣Ψ(x, 0)∣² as a function of δx confirms this behavior. It demonstrates that as the uncertainty in position decreases (smaller δx), the uncertainty in momentum increases (larger spread in momentum space). This observation aligns with the principles of the Uncertainty Principle, which states that precise knowledge of one observable (position) leads to greater uncertainty in the conjugate observable (momentum).

In conclusion, the plot of ∣Ψ(x, 0)∣² as a function of δx supports the validity of the Uncertainty Principle, showcasing the trade-off between position and momentum uncertainties. The behavior of the wavefunction's spread in position space and its corresponding momentum distribution aligns with the fundamental principle of quantum mechanics.

Learn more about quantum mechanics.
brainly.com/question/23780112

#SPJ11

Answer:

All

Step-by-step explanation:

Rational numbers are numbers that are/can written as fraction form and have terminating decimals (or repeating decimals that can be written as fractions). They also aren't imaginary numbers.

Answer:

There aren't fake or imaginary numbers so all rational numbers are real numbers. Rational numbers are a fraction or repeating decimal or an infinite digit number.

Step-by-step explanation:

Answer:

A: 71°

Explanation:

The interior angles of a triangle must always equal 180°.

We have two of the angles, and if we add them up and subtract it from 180°, we can get the missing angle.

49+60+x=180

Add 49 and 60

109+x=180

Isolate the x, so subtract 109 from 180

x=71°

Answer:second account

Step-by-step explanation:

dndhdjdmdosnd theism tow tis ti the internet and the internet towy you

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:

For number 4 the answer is A. For number 5 the answer is A or C.

Step-by-step explanation:

For number four if you connect the picture it creates a triangular pyramid. For number 5 the line is lying on the plane so it has to be C because it is not above the plane, it is not perpendicular to the plane. A and C can both be an answer choice so i will let you decide which one to pick.

Answer:

Division C = 9%

Division E = 10%

Step-by-step explanation:

From the pie chart attached,

Let the missing percentage of division C and E are c% and e% respectively.

Since, division B + division C + division D = 50%

[Divisions on one half of the circle]

23% + c% + 18% = 50%

41% + c% = 50%

c = 50 - 41

c = 9%

Similarly, division A + division F + division E = 50%

27 + 13 + e = 50

40 + e = 50

e = 10%

The height of the 7th bounce would be approximately 1.1 feet.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentage change is also calculated using the same method.

In percentage change we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the height of the 7th bounce, we need to use the formula:

h = 5.5 x \(0.73^{n -1}\)

Where:

h is the height of the nth bounce

n is the number of the bounce

Plugging in n = 7, we get:

h = 5.5 x \(0.73^6\)

h = 1.1

Therefore,

The height of the 7th bounce would be 1.1 feet.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ3

the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

In cοmputer science and mathematics, a graph is a cοllectiοn οf vertices (alsο knοwn as nοdes οr pοints) cοnnected by edges (alsο knοwn as links οr lines).

I can help yοu graph the functiοn y=-2sin(-3x) οver the interval [0, 2π].

Tο start, let's analyze the functiοn. The negative sign in frοnt οf the sine functiοn means that the graph will be reflected acrοss the x-axis. The 2 in frοnt οf the sine functiοn means that the amplitude οf the graph will be 2 units.

The argument οf the sine functiοn is -3x, which means that the periοd οf the graph will be 2π/3. This means that the graph will cοmplete 3 full οscillatiοns οver the interval [0, 2π].

Using this infοrmatiοn, we can sketch the graph as fοllοws:

At x=0, the sine functiοn is 0, sο the graph starts at the x-axis at y=0.

As x increases, the sine functiοn οscillates between -1 and 1, sο the graph οscillates between -2 and 2. Since the argument οf the sine functiοn is -3x, the graph cοmpletes οne full οscillatiοn fοr every 2π/3 increase in x.

At x=2π/3, the graph cοmpletes οne full οscillatiοn and returns tο the x-axis at y=0.

As x cοntinues tο increase, the graph repeats the same pattern every 2π/3 units οf x, until it cοmpletes 3 full οscillatiοns at x=2π.

Therefοre, the graph οf y=-2sin(-3x) οver the interval [0, 2π] will lοοk like a wave that οscillates 3 times between y=-2 and y=2, with a periοd οf 2π/3. The graph will start at the x-axis at y=0 and be reflected acrοss the x-axis.

To learn more about graph from the given link:

brainly.com/question/17267403

#SPJ1

Answer:

Sorry if im late

Step-by-step explanation:

The correct statements are:

The value of f(-10) = 82

The graph of the function is a parabola

The graph contains the point (20,-8)

Answer:

x=18

Step-by-step explanation:

89=5x-1

89+1=5x

90=5x

18=x

The value of given code is 58 and the value of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles using the exponential identities applied to the puzzles. on substituting the given values to f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23. Keep in mind that a number raised to the power of one is itself.

If a>0 and b>0, the following applies to all real numbers x and y:

a^x.a^y = a^(x+y)

a^x/a^y = a^(x-y)

a^x.b^x=(ab)^x

(a/b)^x = a^x/b^x

a^0=1

a^-x= 1/ a^x

(x^a)^b= x^(ab)

For the puzzle 1,

we use the property a^x.a^y = a^x+y

x^4.x^a=x^12

4+a=12

a=8

For puzzle 2,

we use the property a^x/a^y = a^x-y

y^b/y^5=y^2

b-5=2

b=7

For puzzle 3,

we use the property a^-x= 1/ a^x

3^c=1/3^3

c=-3

For puzzle 4,

we use the property (x^a)^b= x^(ab)

(m^3)^2=m^d

d=3*2

d=6

For puzzle 5,

we use the property a^0=1

7^0=e

e=1

For puzzle 6,

we use the property a^x.a^y = a^(x+y)

4^-2.4^9.4^-5=4^f

f=-2+9-5

f=2

given code=f(b+d)+a(e-c)

=2(7+6)+8(1-(-3))

=2*13+8*4

=26+32

=58

Using the exponential identities applied to the puzzles, the value of the given code is 58 and the values of a=8, b=7, c=-3, d=6, e=1, f=2 for the given puzzles. when the given values are substituted into f(b+d)+a(e-c)= 2(7+6)+8(1-(-3))= 58.

To know more about exponents,

https://brainly.com/question/28893041

#SPJ13

the formula is simple interest = Price x rate x time

$2000 x 5 x 10% with is1000

Answer:

6

4

3

4

6

Step-by-step explanation:

Absolute value is always a positive number

y = |x| + 3

  = |-3| +3

  = 3 + 3

  =  6

y = |-1| + 3

y  = 1 + 3 ; y = 4

y = |0| +3; y = 0 + 3; y = 3

y =  |1| +3; y = 1 + 3; y = 4

y = |3| + 3; y = 3 + 3; y = 6

Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

\(d_1=15\sqrt{2}\\d_1=21.213\rm\; m\)

The length of the sidewalk in smaller rectangle in the right side of figure is,

\(d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m\)

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

\(S=21.2+17\\S=38.2\rm\;m\)

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer:

D 38.2

Step-by-step explanation:

E2020