Which equation represents circle C?

To find the probability that a randomly selected college will have an in-state tuition of less than $5,000, we need to first gather data on the number of colleges that have in-state tuitions below $5,000. Once we have this data, we can divide the number of colleges with in-state tuitions below $5,000 by the total number of colleges to get the probability.

Assuming we have this data, let's say there are 100 colleges in total and 25 of them have in-state tuitions below $5,000. To find the probability, we would divide the number of colleges with in-state tuitions below $5,000 by the total number of colleges:

Probability = Number of colleges with in-state tuition below $5,000 / Total number of colleges
Probability = 25 / 100
Probability = 0.25 or 25%

Therefore, the probability that a randomly selected college will have an in-state tuition of less than $5,000 is 25%.
To calculate the probability that a randomly selected college will have an in-state tuition of less than $5,000, we need some data about the distribution of in-state tuitions among colleges. Assuming we have that data, we can follow these steps:

1. Determine the total number of colleges in the dataset.
2. Count the number of colleges with in-state tuition less than $5,000.
3. Divide the number of colleges with in-state tuition less than $5,000 by the total number of colleges.
4. Express the result as a probability (a decimal value between 0 and 1 or a percentage between 0% and 100%).

Let's assume we have data for 1,000 colleges, and out of those, 250 colleges have in-state tuition less than $5,000.

Step 1: Total number of colleges = 1,000
Step 2: Number of colleges with in-state tuition less than $5,000 = 250
Step 3: Calculate the probability: 250 (number of colleges with in-state tuition less than $5,000) ÷ 1,000 (total number of colleges) = 0.25
Step 4: Express the probability: 0.25 or 25%

So, the probability that a randomly selected college will have an in-state tuition of less than $5,000 is 25%.

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a) The transition matrix for the Markov chain representing the end of a volleyball game can be constructed based on the given states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. The transition probabilities depend on the probabilities of winning rallies for each team. The resulting transition matrix is as follows:

[ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ] [ p 0 0 0 0 1-p ] [ 0 q 0 0 1-q 0 ] [ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ]

In this matrix, each row represents a current state, and each column represents a possible next state. The element in the i-th row and j-th column represents the probability of transitioning from state i to state j.

b) To find the probability that the game will not be finished after three rallies when team B is serving and both teams are tied 15-15, we need to calculate the probability of being in the states "tied - B serving" after three rallies. Using the given transition matrix and probabilities p = q = 0.65, we can perform matrix multiplication to obtain the state probabilities after three transitions.

Starting with an initial state vector [0 0 0 1 0 0], representing being in the state "tied - B serving," we multiply it by the transition matrix three times to find the state probabilities after three rallies. The probability of the game not being finished is the sum of the probabilities in the states "tied - B serving," "A ahead by 1 point - A serving," and "B ahead by 1 point - B serving."

Performing the calculations, the probability that the game will not be finished after three rallies is approximately 0.1721 or 17.21%.

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The transition matrix for the Markov chain representing the end of a volleyball game, considering rally point scoring, can be derived based on the six states described: 1) tied - A serving, 2) tied - B serving, 3) A ahead by 1 point - A serving, 4) B ahead by 1 point - B serving, 5) A wins the game, and 6) B wins the game.

.

(a) To construct the transition matrix for the Markov chain, we consider the possible transitions between the six states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. For example, the probability of transitioning from state 1 (tied - A serving) to state 2 (tied - B serving) can be calculated based on the probabilities p and q mentioned in the problem statement. By considering all possible transitions, the complete transition matrix can be obtained.

(b) In this scenario, we start with state 2 (tied - B serving) and need to find the probability that the game will not be finished after three rallies. To calculate this probability, we can use the transition matrix obtained in part (a) and perform matrix multiplication. By multiplying the initial state vector (corresponding to state 2) with the transition matrix three times, we can find the probabilities of ending up in each state after three rallies. The probability of the game not being finished after three rallies would be the sum of the probabilities in states 1 and 2, which represent tied scores.

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Answer:

\(W(t)=5(2^t)\)

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

\(W(t)=ab^t\).

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

\(W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5\)

Since the weight double every week, b = 2. The exponential function is given as:

\(W(t)=ab^t\\\\W(t)=5(2^t)\)

Based on the above, the solution to the system of linear equations is 8, -22).

A system of equations is known to be a set of equations that one need to handle or solve simultaneously.

Note that from the question, we have two lines that are defined by tables and they are:

Line 1:

x      y

-4    26

-2    18

0    10

2    2

And line 2:

x      y

-4    14

-2     8

0      2

2      -4

A line is known to be written as: y = a*x + b

Note also that  a is the slope and b is the y-intercept.

If line passes through the points (x₁, y₁) and (x₂, y₂), the slope is: \(\frac{y_{2} - y_{1} }{x_{{2} - x_{1} } }\)

Then fix the  (0, 10) and (2, 2) into the equation and it will be:

\(\frac{2-10}{2- 0}\)

If the line passes via (0, 10), then the y-intercept is equal to 10.

y = -4  * x + 10

In case of line 2, we input the points (0, 2) and (2, - 4) to get:

\(\frac{-4 -2}{2-0}\)

Since the y-intercept is y = 2, then the line is: y = -3*x + 2

Therefore:

-4*x + 10 = -3*x + 2

10 - 2 = 4x - 3x

8 = x

Then we insert x = 8 in any of the two lines:

y = -3*8 + 2 = -22

Therefore, Based on the above, the solution to the system of linear equations is 8, -22).

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Answer:

D

Step-by-step explanation:

The tables represent two linear functions in a system.

A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4.

What is the solution to this system?

(1, 0)

(1, 6)

(8, 26)

(8, –22)

z=122/17

Step-by-step explanation:

1) Distribuez: 278=34z+34

2) Soustrayez 34 des deux côtés: 244=34z

3) diviser les deux par 34 puis simplifier: le résultat est z= 122/17

Answer:

Alexander bought 2 peaches and 5 bananas.

Step-by-step explanation:

Since Alexander and his children went into a grocery store and he bought $ 6 worth of bananas and peaches, and each banana costs $ 0.60 and each peach costs $ 1.50, and he bought a total of 7 bananas and peaches altogether, in order to determine the number of bananas, x, and the number of peaches, y, that Alexander bought, the following calculation must be performed:

1.5 x 7 + 0.6 x 0 = 10.5

1.5 x 6 + 0.6 x 1 = 9.6

1.5 x 5 + 0.6 x 2 = 8.7

1.5 x 4 + 0.6 x 3 = 7.8

1.5 x 3 + 0.6 x 4 = 6.9

1.5 x 2 + 0.6 x 5 = 6

Therefore, Alexander bought 2 peaches and 5 bananas.

Answer:

Segment QR is the shortest

Answer:

qr

Step-by-step explanation:

From the question, we have:

P(n) = P(n - 1) + n²

P1 = Po + 1² = 0 + 1 = 1

P2 = P1 + 2² = 1 + 4 = 5 (This is option C)

P3 = P2 + 3² = 5 + 9 = 14 (This is option B)

P4 = P3 + 4² = 14 + 16 = 30 (This is option D)

Therefore the number of snowballs cannot be 25.

So, the correct option is A, which is 25.

Answer: A

Step-by-step explanation: To find Pedro Romar's new balance, we need to add his previous balance and the interest to the deposit, and then subtract the withdrawal. This gives us $895.00 + $3.50 + $210.00 - $20.50 = $1,088.00. Therefore, the correct answer is $1,088.00 or option (a).

Answer: The length is 0

Step-by-step explanation:

Answer: 5/9

Decimal form: 0.555.......

Step-by-step explanation:

Area = length • width

The exponential function that can model the amount of medication in Austin's body, y, x hours after the medicine was administered is of:

\(y = 180(0.9)^x\)

After six hours, the concentration was of: 96 micrograms.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the meaning of the parameters a and b are listed as follows:

The initial dose was of 180 micrograms, hence the parameter a is given as follows:

a = 180.

After one hour, the concentration was of 162 micrograms, hence the parameter b is given as follows:

b = 162/180 = 0.9.

Hence the equation is:

\(y = 180(0.9)^x\)

After six hours, the concentration is given as follows:

y = 180(0.9)^6 = 96 micrograms.

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Answer: I think it’s b

Step-by-step explanation:

Answer:

If you multiply 6 by an even number, it will end in the same digit. For example, 6 x 4 = 24, so 4 and the 4 in 24 are the same. The number in the tens place will be half the number in the ones place, so the 2 in 24 is half of 4

The measure of RS to the nearest hundredth is 23.09 m

From the given figure, we have the following parameters

Adjacent to <R = RS

hypotenuse = 20cm

Using the theorem;

cos theta = opp/hyp

cos<R = RS/20
cos 30 = RS/20
RS = 20/cos30

RS =23.094 m

Hence the measure of RS to the nearest hundredth is 23.09 m

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The standard form of the equation of the circle is

\((x+4)^{2} +(y-5/2)^{2} = 16\) by the concept of equation of circle.

The following is the circle's standard equation:

\((x-h)^{2} +(y-k)^{2} =r^{2}\) (equation 1)

where r is the circle's radius and (h, k) is the location of the circle's center.

A circle is a collection of all points that are equally spaced out in a plane from a given point. The circle's center is the fixed point in the diagram. The radius of a circle is the distance from any point on the circumference to the center.

According to question center (-4, 5/2) and tangent to y-axis.

Here, h= -4, k= 5/2

Insert the values of h, k in equation 1

\((x+4)^{2} +(y-5/2)^{2} =r^{2}\)

Now, the value of r = -4 (as y-axis is the tangent to the circle hence the distance from center to tangential point is radius which is equal to -4)

\((x+4)^{2} +(y-5/2)^{2} = (-4)^{2}\)

\((x+4)^{2} +(y-5/2)^{2} = 16\)

Therefore, the standard form of the equation of the circle is

\((x+4)^{2} +(y-5/2)^{2} = 16\)

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I assume it's the moon?

Answer:

garbage and rocks and all sorts of stuff

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{10^{15}}{10^4}}\)

\(\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}\)

\(\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}\)

\(\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}\)

\(\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The variance of X is 0.09.

Formula used: Variance is the square of the standard deviation. T

he formula to calculate variance of a discrete random variable X is given by:

Var(X) = E[X²] - [E(X)]²Calculation:

P(B) = 0.2P(A)

= 0.5P(AB) =

0.1

By definition,

P(A U B) = P(A) + P(B) - P(AB)

⇒ P(A U B) = 0.5 + 0.2 - 0.1

⇒ P(A U B) = 0.6

Now,E[X] = E[1B + ?]

⇒ E[X] = E[1B] + E[?]

Since 1B can have two values 0 and 1.

So,E[1B] = 1*P(B) + 0*(1 - P(B))

= P(B)

= 0.2P(A/B)

= P(AB)/P(B)

⇒ P(A/B)

= 0.1/0.2

= 0.5

So, the conditional probability distribution of ? given B is:

P(?/B) = {0.5, 0.5}

⇒ E[?] = 0.5(0) + 0.5(1)

= 0.5⇒ E[X]

= 0.2 + 0.5

=0.7

Now,E[X²] = E[(1B + ?)²]

⇒ E[X²] = E[(1B)²] + 2E[1B?] + E[?]²

Now,(1B)² can take only 2 values 0 and 1.

So,E[(1B)²] = 0²P(B) + 1²(1 - P(B))= 0.8

Also,E[1B?] = E[1B]*E[?/B]⇒ E[1B?] = P(B)*E[?/B]= 0.2 * 0.5 = 0.1

Putting the values in the equation:E[X²] = 0.8 + 2(0.1) + (0.5)²= 1.21Finally,Var(X) = E[X²] - [E(X)]²= 1.21 - (0.7)²= 0.09

Therefore, the variance of X is 0.09.

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Answer: 80000

Step-by-step explanation:

p=f

    a

24

0.003

NOTE:30  ÷10000=0.030km

The number of years that he ruled as an Emperor is B. 41 years.

From the information, it was stated that Octavian became the emperor of rome in 27 b.c. and that he ruled until his death in a.d. 14

Therefore, the number of years that he rules will be:

= 27 + 14

= 41

Therefore, the number of years that he ruled as an Emperor is 41 years.

In conclusion, the correct option is B.

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Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).

To see why, let's substitute y = 0 degrees into the expression:

sin(y)*tan(y) = cos(y)

sin(0)*tan(0) = cos(0)

0*tan(0) = 1

0 = 1

As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.

The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.

In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.

Answer:

If you're asking what the cost would be for all 5 friends to buy the supplies it would be $750 because $150(cost of supplies) multiplied by 5(number of people) equals 750.

Step-by-step explanation:

Answer:

x = 25

y = 65

Step-by-step explanation:

(I did it on Math Nation)

180 = 130 + 2x

50 = 2x

x = 25

180 = 50 + 2y

130 = 2y

y = 65

Answer:

that is a great question, could u explain more? im serious

Step-by-step explanation:

Answer:

The large squares represent X squared, and had two sides, blue and red, to determine whether it is positive or negative (blue = positive, red = negative). There is also the long rectangles that represent X, with the positive side being green and the negative red. The side length of X is the same side length of X squared, which makes sense because X multiplied by X equals X squared. The smallest square pieces represent the number 1. The colours are yellow for positive and red for negative. These are the basic pieces used in algebra tiles. Hope this helps

Step-by-step explanation:

its b so please mark me as a brainliest

To find the volume of the solid obtained by rotating the region under the curve over the interval [4, 7] about the x-axis, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by rotating a curve f(x) about the x-axis, over an interval [a, b], is given by:

V = ∫[a, b] 2πx * f(x) * dx

In this case, the interval is [4, 7], so we need to evaluate the integral:

V = ∫[4, 7] 2πx * f(x) * dx

To find the function f(x), we need the equation of the curve. Unfortunately, you haven't provided the equation of the curve. If you can provide the equation of the curve, I will be able to help you further by calculating the integral and finding the volume.

Please provide the equation of the curve so that I can assist you in finding the volume of the solid.

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