Given P(A)= 0.95 and P(A∩B)=0.37. Find P(B∣A)

The probability of getting heads is 3/8.

Probability:

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty. that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

Since 3 is a small number, let's list out all possible combinations.

H represents a head while T represents a tail.

3 Heads

HHH

2 Heads

HHT

HTH

THH

1 Head

HTT

THT

TTH

0 Head

TTT

The answer is

3/1+3+3+1=3/8

                                            OR

In general, we will find that the list resembles a particular row of the pascal's triangle.

If you want to know the probability of getting r heads (or tails) from n flips, it is the sum of the rth  elements in the n + 1 line. All elements of the series n+1.

\(\left[\begin{array}{ccc}N\\\\R\end{array}\right]\)/ 2ⁿ = \(\frac{n!}{r! * (n - r)!* 2^{n} }\)

n this case,

N =3andR= 2

   3!/ 2!×1! × 2³

= 6/ 2× 1 × 8

= 3/8

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Energy saving is maintained. This decay is not observed in nature because the basic laws and conservation principles of particle physics do not allow it.

In the decay process you mentioned, n → p e-, the neutron (n) decays into a proton (p) and an electron (e-). This decay violates the conservation of several important quantities. Let's see what is not preserved in this process:

Conservation of charge: In this decay, a neutron (charge = 0) decays into a proton (charge = +1) and an electron (charge = -1). Total charge is not conserved because the neutron is neutral, but the proton and electron have opposite charges.

Conservation of lepton number: Lepton number refers to the number of leptons minus the number of antileptons. A neutron is a baryon, not a lepton, and its decay into a proton (also a baryon) and an electron (a lepton) violates lepton number conservation.

Conservation of baryon number: Baryon number refers to the number of baryons minus the number of antibaryons. Both the neutron and the proton are baryons, so the total baryon number is conserved in this decay. However, the presence of an electron introduces an additional lepton, which breaks the conservation of the baryon number.

Conservation of energy: Energy is generally conserved in the decay process. However, the specific energies of the particles involved may differ. The difference in mass between the neutron and the proton, as well as the electron, are taken into account in the decay energy balance.

In short, the n → p e- decay process violates the conservation of charge, lepton number, and baryon number.

However, energy saving is maintained. This decay is not observed in nature because the basic laws and conservation principles of particle physics do not allow it.

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A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

A sphere can be deformed into an ellipsoid by applying directional scalings, or more generally, an affine transformation, to it.

A quadric surface, or surface that can be described as the zero set of a polynomial of degree two in three variables, is an ellipsoid. An ellipsoid among quadric surfaces has one of the two characteristics listed below. Every cross section of a flat surface is either an ellipse, empty, or reduced to a single point (this explains the name, meaning "ellipse-like"). It can be contained in a sphere that is big enough because it is bounded.

Three pairwise perpendicular axes of symmetry intersect at an ellipsoid's center of symmetry, or the

According to our question-

To each side of the equation, add "-9y2".

4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2

combining similar terms 9y2 + -9y2 = 0

4x2 + 0 + -1z2 = 36 + -9y2

4x2 + -1z2 = 36 + -9y2

To either side of the equation, add "z2".

4x2 + -1z2 + z2 = 36 + -9y2 + z2

Hence, A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.

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The grocer should use x pounds of the $0.90 candy and y pounds of the $2.10 candy in the new mix.

To determine the quantities of each candy to use, we can set up a system of equations based on the given information. Let's denote x as the number of pounds of the $0.90 candy and y as the number of pounds of the $2.10 candy.

The total weight of the mix is 23 pounds, so we have the equation:

x + y = 23 (Equation 1)

The desired selling price of the mix is $1.90 per pound. Since the $0.90 candy and $2.10 candy are being mixed, we can calculate the average price per pound as follows:

(0.90x + 2.10y) / 23 = 1.90 (Equation 2)

We now have a system of two equations (Equations 1 and 2) that we can solve simultaneously to find the values of x and y.

To solve the system, we can start by multiplying Equation 1 by 0.90 to eliminate x's coefficient:

0.90x + 0.90y = 20.7 (Equation 3)

Next, we can subtract Equation 3 from Equation 2 to eliminate x:

(0.90x + 2.10y) / 23 - (0.90x + 0.90y) = 1.90 - 20.7

Simplifying this equation gives:

1.20y = 1.90 * 23 - 20.7

Solving for y, we find:

y = (1.90 * 23 - 20.7) / 1.20

y ≈ 11.5

Now that we have the value of y, we can substitute it back into Equation 1 to solve for x:

x + 11.5 = 23

x = 23 - 11.5

x ≈ 11.5

Therefore, the grocer should use approximately 11.5 pounds of the $0.90 candy and 11.5 pounds of the $2.10 candy in the new mix.

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The slope of the line is equal to 1.

The formula for the point-slope form of the equation is y + 2 = (x + 2).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(2 + 2)

Slope (m) = 4/4

Slope (m) = 1.

At data point (-2, -2) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 1(x - (-2))  

y + 2 = (x + 2)

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Area of a triangle is 1/2 x base x height.

Base is given as 14

Height is given as 10

Area = 1/2 x 14 x 10

Area = 70 square meters

Answer:

A = 70 m²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 10 , then

A = \(\frac{1}{2}\) × 14 × 10 = 7 × 10 = 70 m²

The derivative \(f'(x) = 6 / sqrt(1 - 36x^2)\) using exact values.

To differentiate \(f(x) = sin^(-1)(6x)\), also known as the inverse sine or arcsin function, we will use the chain rule.

The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. Here, our outer function is sin^(-1)(u) and the inner function is u = 6x.

The derivative of the outer function, \(sin^(-1)(u), is 1 / sqrt(1 - u^2)\). The derivative of the inner function, 6x, is 6.

Now, we apply the chain rule:
\(f'(x) = (1 / sqrt(1 - (6x)^2)) * 6\)

Simplify the expression:
\(f'(x) = 6 / sqrt(1 - 36x^2)\)

So, the derivative\(f'(x) = 6 / sqrt(1 - 36x^2)\) using exact values.

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Answer:

\(\frac{7\pi }{4}\) radians

Step-by-step explanation:

to convert degrees to radians

radians = degrees × \(\frac{\pi }{180}\) , then

radian measure = 315° × \(\frac{\pi }{180}\) ( cancel 315 and 180 by 45 )

                          = 7 × \(\frac{\pi }{4}\)

                         = \(\frac{7\pi }{4}\)

315 degrees is equal to 5.49779 radians.

To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.

Let's convert 315 degrees to radians:

315 degrees × (π/180)

315×3.14 /180

= 5.49779 radians

Therefore, 315 degrees is equal to 5.49779 radians.

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Standard deviation - The value of x is 1.96.

What is standard normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

As given, for a standard normal distribution, 95% of the data points are contained in the interval [ -x , x ].

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. By transforming its values into z-scores, any normal distribution can be standardised. Z-scores indicate how far away from the mean each number is from.

Hence, from the standard normal table, the value of x = 1.96 for 95% confidence level.

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TRUE. As one performs multiple separate hypothesis tests, the risk of committing a Type I error (rejecting a true null hypothesis) accumulates.

This overall risk is referred to as the experiment-wise alpha level or family-wise error rate (FWER). It represents the probability of making at least one Type I error among all the conducted tests.

When multiple hypothesis tests are performed simultaneously or sequentially, the individual alpha levels (typically set at 0.05) for each test may no longer be appropriate. This is because if we conduct, for example, 20 separate tests with an alpha level of 0.05 for each test, the cumulative chance of committing at least one Type I error can be much higher than the desired 5%.

To control the experiment-wise error rate, various multiple comparison procedures and adjustments can be employed, such as the Bonferroni correction or the Holm-Bonferroni method. These methods aim to maintain a desired level of significance for the entire set of tests, reducing the risk of accumulating Type I errors.

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Step-by-step explanation:

f(x) = ³√x -15

y = ³√x - 15

Finding inverse,

x = ³√y - 15

x³ = y -15

y = x³ + 15

f-¹(x) = x³ + 15

Answer/Step-by-step explanation:

Common ratio of a sequence can be gotten by dividing any of the consecutive term in a sequence, by the term before it.

Thus,

For the sequence, \( 3, 9, 27. . . \) : \( a_1 = 3 \)

\( r = \frac{9}{3} = 3 \)

For the sequence, \( 8, 4, 2, 1. . . \) : \( a_1 = 8 \)

\( r = \frac{4}{8} = \frac{1}{2} \)

For the sequence, \( -16, 64, -256 . . \) : \( a_1 = -16 \)

\( r = \frac{64}{-16} = -4 \)

Answer:

2 tangents

with common points p and O touching both the circles only 2 tangets can be drawn

Abilities and altitudes are two individual differences that are generally reliable indicators of the likelihood of system error.

The ability of an individual to effectively use a system is a reliable indicator of the likelihood of system errors. People who are less experienced and less knowledgeable about the system are more likely to make mistakes, which can lead to system errors.

In addition, an individual's attitude towards the system can also have an effect. People who are more anxious or frustrated while using the system may make more errors due to a lack of concentration or incorrect assumptions.

Finally, an individual's susceptibility to stress can also play a role in how likely they are to make mistakes while using the system as stress can lead to a lack of focus and poor decision-making. Knowing these two human individual differences can help to predict the likelihood of system errors and help to reduce the risk of them occurring.

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To find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property. Therefore, the function is f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6 .

In summary, to find a polynomial function with integer coefficients that has the given zeros, we can use the factor theorem and the zero-product property to obtain the factors of the polynomial, and then multiply them together to get the polynomial function.

For example, suppose we want to find a polynomial function with integer coefficients that has zeros at -2, 1, and 3. We can start by using the factor theorem to obtain the factors of the polynomial:

(x + 2)(x - 1)(x - 3)

We can then multiply these factors together to obtain the polynomial function:

f(x) = (x + 2)(x - 1)(x - 3) = x^3 - 2x^2 - 5x + 6

This is a polynomial function with integer coefficients that has zeros at -2, 1, and 3. Note that we can also check this by using the zero-product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero. We can plug in each of the zeros (-2, 1, and 3) into the polynomial function and verify that the result is zero, which confirms that these are indeed the zeros of the polynomial.

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All of the claims about the multiple regression output are correct. The first independent variable (X1) was a continuous-scale quantitative variable, whereas the second variable (X2) was coded 0 if Yes and 1 if No.

Multiple regression is an effective statistical approach for analyzing the associations between multiple independent variables and a single dependent variable. Multiple regression has numerous uses in the social sciences, and recent research used it to analyze the connection between two independent factors and a single dependent variable.

Finally, the total model is statistically significant, the slope coefficient for variable X1 is considerably different from zero, and the model explains almost 63% of the variance in the dependent variable.

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the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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Answer:

x≥-42

Step-by-step explanation:

can i get brainliest

Answer:

y=x-2

Step-by-step explanation:

You have to move the Y to one side and  get the X and the 2 on the other side.  

5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.

The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

There are 64 possible options to look at (8 x 8).

If one die is a 1, then no combinations will be possible, even if the other die is an 8.

If one dice is a 2, then no combinations will be possible, even if the other die is an 8.

If one dice is a 3, then no combinations will be possible, even if the other die is an 8.

If one die is a 4, then no combinations will be possible, even if the other die is an 8.

If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.

If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.

If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.

If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.

Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.

As a result, the response is 5/32 because 10/64 = 5/32.

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(a) The possible outcomes of the process Y:RE₁ = "toss a coin once, then record the Y value of the outcome" are:

- Y = 1 if the coin lands heads up

- Y = 0 if the coin lands tails up

(b) Let X = number of Heads. The possible outcomes of the process X:RE₁₃ = "toss the coin three times, then record the X value of the outcome" are:

- X = 0 if all three tosses result in tails (TTT)

- X = 1 if one out of three tosses results in heads (HTT, THT, or TTH)

- X = 2 if two out of three tosses result in heads (HHT, HTH, THH)

- X = 3 if all three tosses result in heads (HHH)

For the second scenario:

(a) The process Y:RE = "roll 5 identical dice [at the same time], then record the maximum number of up-dots on the dice."

(b) The possible outcomes of Y:RE are the values of Y, which represent the maximum number of up-dots on the five dice after rolling them simultaneously. The possible outcomes range from 1 to 6, corresponding to the possible values on a standard six-sided die.

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Answer:

y=0,4 and x=8,0

The x and y-intercept of the linear equation 3x + 6y = 24 will be (8,0) and (0,4) respectively.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given linear function,

3x+6y=24

At x-intercept, y = 0

3x = 24

x = 8 thus it will be (8,0).

At y-intercept , x = 0

6y = 24

y = 4 thus it will be (0,4)

Hence "The linear equation 3x + 6y = 24 will have x-intercepts of (8, 0) and (0, 4) correspondingly".

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Answer:

4.443664/2

Step-by-step explanation:

Mark me brainliest

Add 1.50 to each time the price goes up

Step-by-step explanation: Multiply by two each time and you will have your answer 1 hot dog is 1.50 two are 3.00 use that method and you will have the correct answer

Slope of the flights from point A to point B on the curve The slope of flights from point A to point B on the curve is obtained as shown Slope = Change in vertical distance / Change in horizontal distance.

We can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. In this case, the slope of flights from point A to point B on the curve is 0.75. This implies that for every 1 unit of horizontal change, there is a vertical change of 0.75 units. This may mean charging more for flights that move on a curved path than those that move on a straight path. Therefore, the slope of flights from point A to point B on the curve is:

Slope = Change in vertical distance / Change in horizontal distance

Slope = 900 / 1200

= 0.75.

This will ensure that the airline operators are able to cover their costs and make a profit. From the graph, we can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. This has an economic implication for airlines that operate flights on this route. It means that there is a higher cost for flights that move from point A to point B on the curve compared to those that move on a straight line. This may mean charging more for flights that move on a curved path than those that move on a straight path. This will ensure that the airline operators are able to cover their costs and make a profit.

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The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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Answe

Step-by-step explanation:

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\(\mathsf{(1+3)^2\times5}\\\\\mathsf{(1+3)=4}\\\\\mathsf{(4)^2\times5}\\\\\mathsf{(4)^2\rightarrow4\times4= 16}\\\\\mathsf{16\times 5= \bf{\underline{ANSWER}}}\\\\\mathsf{=80}\)

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

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Considering the given information in the question, Joel and Mary were both given exactly 61 lbs of clay with which Joe made a perfect cube with side length of a and Mary made a perfect sphere of radius r. The ratio of a / r = ∛ ( ⁴/₃π).

Given that

Joel and Mary were both given exactly 61 lbs of clay to make a 3D solid.

Joe made a perfect cube with side length of a and Mary made a perfect sphere of radius r.

We need to determine the ratio of a / r.

So, let's find the volume of the solid made by Joe and Mary.

Volume of a cube = (side length)³= a³

Volume of a sphere = ⁴/₃πr³

Joe made a cube, so the volume of the clay he used is equal to the volume of the cube made by him.

Similarly, Mary made a sphere, so the volume of the clay she used is equal to the volume of the sphere made by her.

Given that, both of them got the same amount of clay to work with.

                  ∴a³ = ⁴/₃πr³...[1]

To find the ratio of a/r, we can rewrite the equation [1] in terms of a and r, and solve for a/r.

∛a³ = ∛(⁴/₃πr³)

a  = ³√(⁴/₃π) × r

∛ a³   =  r × ∛ ⁴/₃π

a/r = ∛ (⁴/₃π)

Answer: a/r =  ∛ ( ⁴/₃π).

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Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

\(Sin(30)=\cfrac{y}{6\sqrt{3} }\)

\(\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)\)

\(\sqrt{3}y=9\)

\(\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}\)

\(y=3\sqrt{3}\)

~

\(Cos(30)=\cfrac{x}{6\sqrt{3} }\)

\(\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)\)

\(\sqrt{3}x=9\sqrt{3}\)

\(\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}\)

\(x=9\)

Therefore, x=9 and y=3√(3)

~