the circle contains (-2, 16) and x intercepts -2 and -32, write the equation of the circle described

The corresponding probabilities are: A. P(R) = 0.72 B. P(R') = 0.28 C. P(A ∩ R) = P(R) * P(A | R) = 0.72 * 0.51 = 0.367 D. P(A | R) = 0.51 E. P(A ∩ R') = P(R') * P(A | R') = 0.28 * 0.10 = 0.028 F. P(A' ∩ R) = P(R) * P(A' | R) = 0.72 * 0.49 = 0.352 G. P(A' ∩ R') = P(R') * P(A' | R') = 0.28 * 0.90 = 0.252

(a) The tree diagram with the corresponding probabilities is:

A (0.51) A' (0.49) A (0.10) A' (0.90)

(b) The proportion of students who earn an A and don't attend class regularly is:

P(A ∩ R') = 0.028

(c) The chance that a randomly chosen student will earn an A in the class is:

P(A) = P(A ∩ R) + P(A ∩ R')

= 0.367 + 0.028

= 0.395

(d) Given that a student earned an A, the chance they attend class regularly is:

P(R | A) = P(A ∩ R) / P(A)

= 0.367 / 0.395

≈ 0.9291 (rounded to four decimal places)

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Complete question:

A professor has noticed that students hat attend class regularly, mss no more than two classes per term, generally get better grades. For he class, the overall percent o students who attend regularly s 72% or those who come to class on a regular basis, 51% receive A's. Of those who don't attend regularly, only 10% get A's. (b)Among all students what proportion earn an A and don't attend class regularly?

Answer:

127+x=180

180-127

x=53

The two terms of the generic rectangle are:

2 x \(10^5\)  and 4 x \(10^5\)

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

2 x 10³ . 4 x \(10^7\)

This can be written as,

2 x \(10^5\) . 4 x \(10^5\)

The two terms of the rectangle can be:

2 x \(10^5\) and 4 x \(10^5\).

Thus,

The two terms are 2 x \(10^5\) and  4 x \(10^5\).

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The volume of the solid is 603.19 cubic feet

The formula for the volume of a hemisphere is (2/3)πr³.

Since the radius of the hemisphere is not given,

Assume it to be the same as the radius of the cone, which is 6 feet.

So, the volume of the hemisphere is,

⇒ (2/3)π(6³) = 144π cubic feet

The formula for the volume of a cone is (1/3)πr²h,

where r is the radius and h is the height.

Put in the values we have, we get,

⇒ (1/3)π(6²)(12) = 144π/3

                        = 48π cubic feet

Find the total volume of the composite solid by adding the volumes of the hemisphere and the cone,

⇒ Total volume = Volume of hemisphere + Volume of cone

⇒ Total volume = 144π + 48π

⇒ Total volume = 192π cubic feet

Finally, rounding to the nearest hundredth,

The volume of the composite solid is 603.19 cubic feet.

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Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

Step-by-step explanation:

It looks as though ( from your post)  Sweden won 4 golds and 0 silver and 2 bronze medals

4:0:2     simplifies to   2 :0 : 1

Answer:

it might be 2/1

Step-by-step explanation:

first u do rise over run- u find the spot on the x axis that goes through the x axis line, and then u rise up until u reach other spot that is going through on the end point and then u run right because its a positive number and u go right however many until u reach that end point, i hope that makes some sense

Answer:

106.2

Step-by-step explanation:

A 18% increase of a number is the same as multiplying it by 1.18.

If we multiply 90 by 1.18 we get:

90 * 1.18

106.2

The probability of picking a red counter is therefore; 8/25.

Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;

x = (2/3)× 24 = 16 red.

The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.

The total number of counters is therefore; 40/0.8 = 50 counters.

The probability of picking a red counter is therefore; 16/50 = 8/25.

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The equation of the red graph include the following: B. f(x) = -x².

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

Since the parent function g(x) = 4 - x² was translated 4 units down in order to produce the graph of the image f(x), we have:

f(x) = g(x) - 4

f(x) = 4 - x² - 4

f(x) = -x²

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A polynomial function of degree 2 or less that passes through the points (9, 393), (8, 317), and (10, 477), we can use the method of interpolation. The resulting polynomial function is p(x) = 20x^2 - 689x + 6068. The graph of the polynomial function, as well as the graph of y = 1/p(x), can be sketched to visualize the relationship.

To determine the polynomial function of least degree that passes through the given points, we can set up a system of equations using the general form of a polynomial of degree 2 or less: p(x) = ax^2 + bx + c.

By substituting the x and y values of the given points into the equation, we get a system of equations. Solving this system, we find the values of a, b, and c.

Using the method of interpolation, the resulting polynomial function is p(x) = 20x^2 - 689x + 6068.

To sketch the graph of the polynomial function, we can plot the points (9, 393), (8, 317), and (10, 477) on a graph and connect them with a smooth curve representing the polynomial.

The graph of y = 1/p(x) can also be sketched by reflecting the points across the y-axis and plotting the corresponding y-values.

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Answer: The inequality given is:

250(1.12)^s > 3750

We want to solve for s, the number of years until the number of mice exceeds 3750. We can begin by dividing both sides of the inequality by 250:

(1.12)^s > 15

Next, we can take the logarithm of both sides of the inequality with base 1.12:

log₁.₁₂ [(1.12)^s] > log₁.₁₂ (15)

s > log₁.₁₂ (15)

Using a calculator, we can evaluate the right-hand side to be approximately 6.27. Therefore:

s > 6.27

Since s must be a whole number, we can round up to the nearest integer to get:

s = 7

Therefore, in 7 years the number of mice will exceed 3750.

Answer:

GURL MY MATH TEACHER GAVE ME THE SAME SHEET A MONTH AGOO

YASS

1.) x is less than or equal to 3

2.) x greater than or equal to 2

3.) x < -1

4.)  x greater than or equal to 3

5.) x>2

6.)  x greater than or equal to 1

1. Distance is not directly proportional to time.

2. Distance is directly  proportional to time.        

3. Distance is directly  proportional to time.

4. Not much information.

Given that,

In the picture there are few examples.

We have to find if the given examples are whether distance is directly proportional to the time in the examples.

We know that,

1. A horse riding the perimeter of a racetrack.

The horse is circling the racing track because of this. Consequently, the horse's speed can change at different times.

Therefore, time and distance are not directly proportional.

2. a truck traveling steadily across four cities

Distance = Speed × Time and the speed is constant.

Therefore, time and distance are directly proportional.

3. a dog that ran continuously for 20 minutes.

Distance = Speed × Time and the speed is constant.

Therefore, time and distance are directly proportional.

4. running down a field in order to score a touchdown.

There is no information about the speed of the person.

There is no proper information.

Therefore,

1. Distance is not directly proportional to time.

2. Distance is directly  proportional to time.        

3. Distance is directly  proportional to time.

4. Not much information.

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Hence option 1, 2, 3 are the right angle triangle.

The given triangles can be classified according to the Pythagorean theorem.

If the longest side of the triangle is c, and the other two sides are a and b, then the Pythagorean theorem states that

a² + b² = c².

1. Triangle 1: 6, 12, and 13.

The length of sides of the first triangle is 6, 12, and 13.

This triangle is a right triangle as a² + b² = c² can be applied here.

where a = 6, b = 12, and

c = 13.6² + 12²

= 36 + 144 = 18013²

= 169

Hence the triangle is a right triangle.

2. Triangle 2: 5, 12, and 13.

The length of sides of the second triangle is 5, 12, and 13.

This triangle is a right triangle as a² + b² = c² can be applied here

where a = 5, b = 12, and

c = 13.5² + 12²

= 25 + 144 = 16913²

= 169

Hence the triangle is a right triangle.

3. Triangle 3: 3, 4, and 5.

The length of sides of the third triangle is 3, 4, and 5.

This triangle is also a right triangle as a² + b² = c² can be applied here where a = 3, b = 4, and c = 5.

3² + 4² = 9 + 16 = 255² = 25.

Hence the triangle is a right triangle.

4. Triangle 4: 2, 4, and 6.

The length of sides of the fourth triangle is 2, 4, and 6.

This triangle is not a right triangle as a² + b² = c² cannot be applied here where a = 2, b = 4, and c = 6.2² + 4² = 4 + 16 = 20 (not equal to 6² = 36)

Hence the triangle is not a right triangle.

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Answer:

I'm sorry for what you are going through, I went through something similar and it gets better

Step-by-step explanation:

Answer:

We are in tough times right now and its hard for everyone its okay for someone to leave its normal i guess. we just have to get over it and find new people and not let those people or yourself bring you down

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

The general solution to the given differential equation is\(y = (C_1)/(x(x-6y))\)where C_1 is the constant of integration.

The given differential equation is \(9x(x+y)y'=9y(x-6y)\)

Step 1: We can simplify this equation to get y' and dy/dx by dividing both sides by

9xy(x−6y) = (x−6y)dy/dx + y

=> dy/dx = y/[x(x−6y)] − 1/(x−6y)

Now, we can rewrite the differential equation as dy/dx = y/[x(x−6y)] − 1/(x−6y)

Step 2: This is a separable differential equation.

We can write it in the form

dy/dx + 1/(x−6y) = y/[x(x−6y)] Multiplying by the integrating factor μ(x) = e∫(1/(x−6y))dx gives us

\(\mu(x)dy/dx + [\mu(x)/(x-6y)] = \mu(x)y/[x(x-6y)]\)

We can simplify this as \(d/dx[\mu(x)y] = \mu(x)y/[x(x-6y)]\)

Integrating both sides, we get

ln|y| = ∫μ(x)/(x(x−6y)) dx + C where C is the constant of integration

Step 3: Now, we need to find the integrating factor μ(x). We can writeμ(x) = e∫1/(x−6y) dxSo, we substitute x−6y = t and get dx = dt + 6dy

So,

\(\mu(x) = e\int1/(x-6y) dx\)

= e∫1/t dt

= e^(ln|t|)

= |t|

= |x−6y|

Step 4: Substituting for μ(x) and simplifying the integral, we get

\(ln|y| = -(1/6)ln|x-6y| - (1/6)ln|x| + C'\)

=> \(ln|y| = ln((C_1)/(x(x-6y)))\)

=> \(y = (C_1)/(x(x-6y))\)

Where C_1 = e^C' is a new constant of integration \(y = (C_1)/(x(x-6y))\)

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Answer:

Step-by-step explanation:

It has 3 terms so it is a trinomial.

It can also be called a quadratic.

Answer:

a trinomial.

If that is what ur asking for

Step-by-step explanation:

The more variable the data, the less accurate the sample mean will be as an estimate of the population mean. In statistical analysis, accuracy is important. Statistical analysis is a method of gathering and examining data to uncover useful information.

A sample mean is a numerical estimate that represents a data set's central tendency. The population mean, on the other hand, is a statistical measure that represents the mean value of the entire population. The difference between the two lies in the fact that sample mean is computed on a subset of the population whereas population mean is calculated for the entire population. If the variability of the sample data is large, the sample mean becomes less accurate as an estimate of the population mean.

As a result, the more variable the data, the less accurate the sample mean will be as an estimate of the population mean.Therefore, it is essential to examine the variability of the data in order to better estimate the population mean. The greater the variability in the data, the more difficult it becomes to identify the true population mean and the less accurate the sample mean is as an estimator of the population mean.

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The best choice is: a stratified sample drawn from the market area's cities and towns.

A method of sampling a population that typically divides into smaller groups is called stratified sampling. The term "strata" refers to these groups. For research purposes, the population size may be too large for a researcher to handle, necessitating a significant investment of time and resources. Therefore, the researcher may divide the population into strata of small groups that are simple to manage for convenience.

In a research study, a stratified sample ensures that each subgroup (strata) of a given population is adequately represented within the entire sample population. A sample of adults could be divided into subgroups based on age, such as 18–29, 30–39, 40–49, 50–59, and 60 and older.

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Full Question = Owners of a radio station want to obtain information on the radio listening habits in their market area. The market area contains one city of population 150,000, another city of 40,000, and three towns of about 6,000 inhabitants each. The station suspects the listening habits may be different in larger and smaller cities, and in the rural areas, so it splits the market area up accordingly to survey. Which of the following sampling designs best represents the type of survey design described? A cluster sample using regions in the market area as clusters A convenience sample from the market area A simple random sample from the whole market area A stratified sample from the cities and towns in the market area An online poll that invites all people from the cities and towns in the market area to participate.

If you add the two equations in the middle together, you'd end up with

    -3y = 15

And divide both sides by -3 and you'd have

     y = -5

Since there's only one solution with a y-value of -5, it must be the first option, (-19/2, -5).

You can confirm this is correct by substituting in -19/2 for x and -5 for y in both equations.

Answer:

predict the impact of removing snakes from this food web

Logistic growth function with oscillation is a mathematical model that describes the growth of a population that is limited by its resources.

The logistic growth function itself is an S-shaped curve that levels off as the population approaches its carrying capacity. However, when there are additional factors that cause oscillations or fluctuations in the population size, the model can be modified to include periodic behavior.

One example of a logistic growth function with oscillation is the Lotka-Volterra predator-prey model. In this model, the population of predators and prey are linked through a set of differential equations that describe how the two populations interact with each other. The oscillations in this model occur due to the interplay between the predator and prey populations, with each population affecting the growth of the other.

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7) The given distribution of data is:

19, 17, 18, 21, 14, 17, 16, 22, 14, 22, 16

This can be rearranged as:

14, 14, 16, 16, 17, 17, 18, 19, 21, 22, 22

The frequency distribution table is drawn below

The dot plot is drawn right after the frequency table

Answer:

Step-by-step explanation:

2 x 5=10

5x5=25

a=10

b=25

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = \(\frac{4}{3} \pi r^2\)

Substitute 1 in for r

\(\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189\) = Volume

Finding the Height of a Cone

Volume formula for Cone: \(V = \pi r^2\frac{h}{3}\)

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

\(h = \frac{3V}{\pi r^2}\)

Plug in the volume and the radius.

\(h = \frac{3(4.189)}{\pi (1)^2}\)

Simplify

\(h = \frac{12.567}{\pi }\)

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

Answer:

Letter B because it is less than. < is less than

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c < 27.50

The sign < means less than.

Plug the numbers in and you've got:

The cost is less than $27.50

Good luck mate :)

Answer: if this is what you wanted ,I think that n=0 and /or n= -18

Step-by-step explanation:

In an equation equal to 0 you can say that if it is a product like that : A x B =0 so A or / and B can be equal to 0 so you have to search when A=0 and when B=0 separately then you know when n is equal to 0 so the values of n . I’m sorry if it is not what you needed as an answer.