Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
A. No line can be drawn through any pair of the points.
B. One line can be drawn through all three points.
C. One plane can be drawn so it contains all three
points.
D. Two planes can be drawn so that each one contains
all three points.

Answer:

The rate per word is $6 per word

Step-by-step explanation:

12,000 divided by 2,000 is 6

Answer:

6.00 per word

Step-by-step explanation:

12,000/2,000=6

6x

2000*.17=340

2000*1.67=3,340

2000*60=120,000

If G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

To prove the opposite, we need to show that if G is not a pseudorandom generator (PRG), then Construction 3.17 cannot be EAV-secure (indistinguishable encryptions in the presence of an eavesdropper).

Let's assume that G is not a PRG. This means that there exists some efficient algorithm D that can distinguish the output of G from random strings with non-negligible advantage. We will use this assumption to construct an adversary A that can break the EAV-security of Construction 3.17.

The adversary A works as follows:

1. A receives a security parameter n.

2. A runs the key generation algorithm Gen and obtains the key k.

3. A chooses two distinct messages m0 and m1 of length ℓ(n).

4. A computes the ciphertexts c0 = G(k) ⊕ m0 and c1 = G(k) ⊕ m1.

5. A chooses a random bit b and sends cb to the challenger.

6. The challenger encrypts cb using the encryption algorithm Enc with key k and obtains the ciphertext c*.

7. A receives c* and outputs b' = D(G(k) ⊕ c*).

8. If b = b', A outputs 1; otherwise, it outputs 0.

We analyze the probability that A can distinguish between encryptions of messages m0 and m1. Since G is not a PRG, D has a non-negligible advantage in distinguishing G's output from random strings. Therefore, there exists a non-negligible function negl such that:

|Pr[D(G(k)) = 1] - Pr[D(U) = 1]| ≥ negl(n),

where U denotes a truly random string of length ℓ(n).

Now, consider the probability of A winning the PrivK game:

Pr[PrivK_A,Π

eav

(n) = 1] = Pr[b = b']

           = Pr[D(G(k) ⊕ c*) = D(G(k))]

           = Pr[D(G(k)) = 1]

           ≥ Pr[D(U) = 1] - negl(n).

Since negl(n) is non-negligible, we have:

Pr[PrivK_A,Π

eav

(n) = 1] ≥ 2^(-1) + negl(n).

Thus, if G is not a PRG, then Construction 3.17 cannot be EAV-secure. This shows the contrapositive of Theorem 3.18.

Learn more about Construction here

https://brainly.com/question/27665779

#SPJ11

Considering the situation described, the confidence interval is given by:

(0.35, 0.51).

It is given by the estimate plus/minus the margin of error.

For this problem, we have that:

Then, the bounds of the interval are given by:

More can be learned about confidence intervals at https://brainly.com/question/25890103

#SPJ1

The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

For more such questions on solution

https://brainly.com/question/24644930

#SPJ8

Answer:

A

Step-by-step explanation:

Option A is the correct answer of this question.

Step-by-step explanation:

the square root of x squared is x.

this means the( cube root of x ) to the power of 6 is what we need

Welk is most likely to be classified as a luxury good. A luxury good is a good for which demand increases more than proportionally with income.

This means that as people's incomes increase, they are more likely to spend a larger proportion of their income on luxury goods.

The income elasticity of demand for a good is a measure of how responsive demand is to changes in income. A positive income elasticity of demand indicates that demand increases as income increases, while a negative income elasticity of demand indicates that demand decreases as income increases.

The income elasticity of demand for Welk is 4.667, which is much higher than the income elasticities of demand for Kang (-3) and Lafgar (1.667). This indicates that demand for Welk is much more responsive to changes in income than demand for Kang or Lafgar.

Therefore, Welk is most likely to be classified as a luxury good.

Learn more about luxury goods here:

brainly.com/question/31497714

#SPJ11

Answer:

co.mutative property

Step-by-step explanation:

you can switch the terms around

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

Learn more about the displacement here:

https://brainly.com/question/4801377

#SPJ4

the volume of the silo is approximately 11,657.88 cubic meters.

To find the volume of the silo, we need to calculate the volumes of the cylinder and the cone separately, and then add them together.

The radius of the base of the silo is half the diameter, so it's 10 meters / 2 = 5 meters.

The height of the cylinder is given as 27 meters. Since the height of the cone is half the height of the cylinder, the height of the cone is 27 meters / 2 = 13.5 meters.

The volume of a cylinder is calculated using the formula:

Volume of Cylinder = π * radius^2 * height

Plugging in the values, we get:

Volume of Cylinder = π * 5^2 * 27 = 3375π cubic meters (approximately 10,598.07 cubic meters)

The volume of a cone is calculated using the formula:

Volume of Cone = (1/3) * π * radius^2 * height

Plugging in the values, we get:

Volume of Cone = (1/3) * π * 5^2 * 13.5 = 337.5π cubic meters (approximately 1059.81 cubic meters)

Adding the volumes of the cylinder and the cone, we get:

Volume of Silo = 3375π + 337.5π = 3712.5π cubic meters (approximately 11,657.88 cubic meters)

To know more about diameter visit:

brainly.com/question/31445584

#SPJ11

The two-point A and B will be -1+2i and -2+2i respectively.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The complex number is given as;

x+iy

Where x is the real part and iy is the imaginary part.

The two points added to obtained -3 + 4i are;

A = -1+2i

B= -2+2i

The sum of the two points is;

⇒A+B;

⇒-1+2i + -2+2 i

⇒-3 + 4 i

Hence the two-point A and B will be -1+2i and -2+2i respectively.

To learn more about the complex number, refer to the link;

https://brainly.com/question/10251853

#SPJ1

Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

The probability that the first candy selected is butterscotch and the second candy is taffy can be calculated as the product of the probabilities of these two events occurring.

First, let's calculate the probability of selecting a butterscotch candy as the first candy. There are 9 butterscotch candies out of a total of 15 candies, so the probability is 9/15.Next, for the second candy to be taffy, we need to consider that one butterscotch candy has already been selected and removed from the box. Therefore, there are 14 candies remaining in the box, including 2 taffy candies. Hence, the probability of selecting a taffy candy as the second candy is 2/14.

To find the probability of both events occurring, we multiply the probabilities together: (9/15) * (2/14) = 18/210.Simplifying this fraction, we get 3/35.Therefore, the probability that the first candy selected is butterscotch and the second candy is taffy is 3/35, which is approximately 0.086 or rounded to three decimal places.

To learn more about probability click here : brainly.com/question/31828911

#SPJ11

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

Learn more about: Parabola

brainly.com/question/11911877

#SPJ11

Answer:

a) 6 prizes

b) 1/1000; 3/2000; 997/1000

c) 15,75 € (I suppose)

Step-by-step explanation:

a) 1+2+3=6

b) 2/2000 (2 of of the 2000), 3/2000, 1994/2000

c) (20×2000 - 5000 - 2×1000 - 3×500)÷2000

(total value of the tickets - total prizes value) ÷ number of the tickets

Answer:

Kelsey is correct.

Step-by-step explanation:

One of the rules when solving an equation is that you need to isolate the variable, meaning that it just needs to be x by itself. To do that, you would need to start by subtracting 6. If you were to divide by 3 first, the answer would be twice what it should be.

Answer:

2000

Step-by-step explanation:

Look at the number in the hundreds position. It is a 5, so the number will be rounded up. So 2000 will be the answer.

Have a great day! :D

Answer:

2000

Step-by-step explanation:

whenever we round and the \(unit\) is the exact same place as we're rounding to we round the digit after it

1500 ⇒ 2000

whenever the digit is at the halfway point we round up

branliest please :)

The values of all sub-parts have been obtained.

(a). The value of p is 0.75.

(b). The value of ^p is 0.787.

(c). The value of standard deviation of ^p is 0.035.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

As given,

The students that graduated from their school in the past 5 years is 150.

The students that immediately to college after graduation is 118.

a) Evaluate the value of p.

p = 0.75 (75% is given).

b) Evaluate the value of ^p.

^p = 118/150

^p = 0.787

Hence, answer is 0.787 (rounded to 3 decimal places).

c) Evaluate the standard deviation of the sampling distribution of ^P.

SD = √ [^p*(1 - ^p)/n]

Substitute values respectively,

SD = √ [0.787*(1 - 0.787)/150]

SD = 0.035

So, standard deviation of the sampling distribution of ^p is 0.035.

Hence, all values have been obtained.

To learn more about standard deviation from the given link.

https://brainly.com/question/475676

#SPJ4

Seafloor spreading can be defined as a process that involves the formation of new oceanic crust as a result of volcanic activities and an upwelling of molten magma at mid-ocean ridges, as well as a slowly increasing distance (outward movement) from the ridge.

The theory of seafloor spreading was established by Harry Hammond Hess and it can be used to explain in details the slowly increasing distance between South America and Africa which grows from the center.

A hot spot refers to an area deep within Earth's mantle or under the rocky outermost layer of Earth, from which heat rises through convection and acquired as heat energy by a landform.

In the United States of America, you will see a layered sedimentary rock that is exposed by erosion when you view the Grand Canyon.

Furthermore, Australia is made up of relatively old and thick continental crust. Also, subduction causes the formation of extremely deep ocean Marianas Trench.

Read more on seafloor spreading here: brainly.com/question/12037536

The measure of length of FG is 105 units.

What is bisection?

To determine the roots of a polynomial problem, utilise the bisection method. It splits and separates the interval in which the equation's root is located. The continuous functions intermediate theorem serves as the method's guiding premise.

From the given diagram, since Line DF bisects angle EDG, then -

EF = FG

Given the following parameters -

EF = 9n - 3

FG = 8n + 9

Equating both expressions -

9n - 3 = 8n + 9

9n - 8n = 9 + 3

n = 12

Get the measure of FG -

FG = 8n + 9

FG = 8(12) + 9

FG = 96 + 9

FG = 105

Hence, the line FG measures as 105 units.

To learn more about bisection from the given link

https://brainly.com/question/25770607

#SPJ1

Answer:

Add ak190 smart answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think its C

it’s a better option than the last guys answer lol

Answer:

The answer is 11.6 cm

Step-by-step explanation:

The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)

Now we must input 16 cm into c and 11 cm into either a or b.

a^2+11^2=16^2 which is equal to a^2+121=256.

subtract 121 from both sides to get a^2 by itself

a^2+(121-121)=(256-121)

a^2=135

to get "a" by itself, we must find the square root of 135.

√a^2=√135

a=11.6

Answer:

is there anymore to this problem

9514 1404 393

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  60° +60° +∠1 = 180°

  ∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

The dependent variable in this case would be the total number of hot dogs needed for the cookout.

In mathematics, a variable is a symbol, usually a letter, used to represent a quantity in an equation or in a mathematical expression. It can be thought of as a placeholder that can take on different values in a given equation or expression. Variables are essential for mathematics because they allow us to explore different scenarios and solve problems.

This is dependent on the number of guests attending, which is the independent variable. Depending on how many people show up, the individual will need to adjust the amount of hot dogs to accommodate the guests.

To know more about variables click-
https://brainly.com/question/25223322
#SPJ4

Answer:

Step-by-step explanation:

Angle 6 is equal to angle 1.

Angle 1 + Angle 2 must equal 180 degrees so

a+151=180

a=29

So angle 2=29 degrees

Answer:

Step-by-step explanation:

u^2=81

u=\(\sqrt{81}\)

u=9

i think its u=9, cuz 9 squared equals 81, anyway hope this helps

This is an example of exponential growth.

Since the population doubles in size every 29 hours,

and the initial population is 30000,

then in 29 hours,

the population = 30000 x 2 = 60000

and in

another 29 hours (total of 58 hours from the start),

the population = 60000 x 2 = 120000

Hence the population after 58 hours is 120000 bacteria.

The given "proof" is incomplete and does no longer provide a convincing argument for the statement that \(\sqrt{n}\) is irrational for every natural wide variety of n.

It begins by assuming that \(\sqrt{n}\) is rational, represented as \(\sqrt{n}\) = a/b, wherein a and b are integers and not using common factors and b isn't equal to zero.

The blunders in this evidence lie within the assumption that \(\sqrt{n}\) can be represented as a rational number. The evidence fails to expose a contradiction or offer proof that \(\sqrt{n}\) can not be expressed as a ratio of integers. In order to prove that \(\sqrt{n}\) is irrational, one has to show that there are not any viable values for a and b that satisfy the equation √n = a/b.

To establish the irrationality of \(\sqrt{n}\), legitimate evidence usually utilizes techniques along with evidence with the aid of contradiction or evidence by means of high factorization. These techniques involve assuming that \(\sqrt{n}\) is rational, manipulating the equation, and deriving a contradiction or showing that the idea results in a not possible situation.

Since the given proof lacks those crucial elements, it can't establish a declaration that \(\sqrt{n}\) is irrational for each natural range n.

To know more about rational numbers,

https://brainly.com/question/22221295

#SPJ4

The correct question is:

"What is wrong with the following "proof" of the statement that \(\sqrt{n}\) is irrational for every natural number n? "proof ". Suppose that \(\sqrt{n}\) is rational is a rational number."