Someone solve this for me please

The required conditional probability is 3/5, obtained by dividing the number of cases for both events by the number of cases for event B.

Based on the occurrence of a prior event or outcome, conditional probability is the possibility that a subsequent event or outcome will occur.

Let there be 100 students. Given that 30%, that is 30 students like dubstep. 25 students like trance music and 20 students like house music. It is also given that 15 students like both dubstep and trance.

Conditional probability of event A given that event B occurs is given by the expression,

P(A/B) = P(A∩B) / P(B)

Here event A is described as student likes dubstep and event B is described as student likes trance music.

Number of students who likes both dubstep and trance music (n(A∩B)) is 15.

Number of students who likes trance music (n(B)) is 25.

Therefore the required conditional probability is given by,

P(A/B) = 15/25

P(A/B) = 3/5

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The probability that event B occurs is 4/5

The probability that event A occurs given that event B occurs is 1/3

What is the probability that events A and B both occur?

Recall that the conditional probability is given by

Re-writing the above formula for P(A and B)

So, the probability that events A and B both occur is

Therefore, the probability that events A and B both occur is 4/15

The obtained expression after taking factor -2.3 out of 9.2b - 4.6 will be -2.3(4b+2)

The expanding form can be used to indicate the value of each digit in a number in arithmetic. Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.

It is given that the expression is, 9.2b - 4.6

We have to factor -2.3 out of 9.2b - 4.6

=9.2b - 4.6

= -2.3(4b+2)

Thus, the obtained expression after taking factor -2.3 out of 9.2b - 4.6 will be -2.3(4b+2)

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The statement is false. Just because the limit of a sequence approaches zero as n tends to infinity does not guarantee that the sequence itself is convergent.

The statement is false because the convergence of a sequence depends on more than just the limit. A sequence is considered convergent if it approaches a specific value as n tends to infinity. If the limit of a sequence as n approaches infinity is zero, it indicates that the terms of the sequence are getting closer to zero, but it does not necessarily mean that the sequence has a specific value to which it converges.

For example, consider the sequence {1/n}. As n approaches infinity, the limit of this sequence is indeed 0. However, the terms of the sequence do not converge to a specific value but instead approach zero as n grows larger. Therefore, the statement that if the limit approaches zero, then the sequence is convergent is false.

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Using it's concept, it is found that there is a 0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Thus, the probability of milk then white is given by:

\(p = \frac{5}{12} \times \frac{6}{23} = \frac{30}{12 \times 23} = 0.1087\)

0.1087 = 10.87% probability Sung chose a milk chocolate then a white chocolate.

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t is the parameter, n is the unit normal vector, and κ is the curvature of the space curve.

To find t, n, and κ for the space curve r(t)=-ti-(a cos h (t/a))j, first calculate the position vector r, which is r(t)=-ti-(a cos h (t/a))j. Then, calculate the derivative of the position vector to find the tangent vector t, which is t=i+(t/a)sin h(t/a)j. Next, calculate the second derivative of the position vector to find the normal vector n, which is n=(-(1/a) sin h(t/a))i+(1/a2)(cos h(t/a))j. Lastly, calculate the curvature κ by dividing the magnitude of the second derivative of the position vector by the square of the magnitude of the first derivative, which is κ=(1/a2)(cos h(t/a))/(1+(t/a) sin h(t/a))2.

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The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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An expression for the number of bracelets of n beads, where rotations.

Whats an expression for the bracelets?

In mathematics, the term "bracelets" can refer to a type of combinatorial object, specifically, a set of beads arranged in a circular pattern. An expression for the number of bracelets of n beads, where rotations and reflections are considered identical, can be given as follows:

B(n) = (1/n) * (2raise to the power (n-1) + Σ(d|n, d<n) μ((n/d)) * 2 raise to the power ((n/d)-1))

Here, B(n) represents the number of distinct bracelets of n beads, Σ denotes the summation, d|n denotes "d divides n", and μ is the Möbius function.

The first term in the expression, (1/n) * (2 raise to the power (n-1)), represents the number of bracelets that are invariant under rotation. The second term takes into account the bracelets that are not invariant under rotation, but are invariant under reflection, and involves the Möbius function.

This expression can be used to calculate the number of bracelets for any value of n, by plugging in the value of n and evaluating the expression.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

y = 3x + 1

Step-by-step explanation:

The slope is 3 (rise over run)

It cross the y axis at 1

Answer:

y=3x+1

Step-by-step explanation:

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

A plant with yellow leaves and stunted growth is likely deficient in nutrients such as nitrogen, iron, magnesium or sulfur. It could also be affected by a viral or fungal infection, or an environmental stressor such as too much or too little water, poor soil quality or exposure to extreme temperatures. A soil test or analysis of the plant's symptoms can help identify the specific cause of the deficiency and appropriate treatment or management practices.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apply the prime factorization method: \(5^2\)

⇒ \(Answer:5^2\)

Definition of prime factorization:

The factorization of a positive integer into its constituent prime numbers.

Hi student, let me help you out! :)

. . . .  . . . . . . . . . . . . . . . . . . . . . . . . . .. .  . .. . .  . . . . . . .. . . . . . .  .. . . .

We are asked to write 25 as a product of two primes.

A prime number is a number that can only be divided by 1 and itself.

So if we multiply two such numbers, we'll get 25.

These numbers are 5 and 5; 5 is only divisible (evenly) by 1 and itself.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

m∠A = 9°

Step-by-step explanation:

\( \sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree\)

I think C if Its wrong then blame me

Option (a) 1/50 The average of the 50 samples of x can be calculated as the sum of the values of x divided by the number of samples, which is 50 in this case.

Since x has a mean of 1, we know that the sum of the values of x is 50 times 1, which is 50. The variance of x is 4, which means that the standard deviation of x is 2. This means that the standard error of the mean of x, which is the standard deviation of the sample mean, is 2 divided by the square root of 50, which is approximately 0.283. Therefore, the 95% confidence interval for the mean of the 50 samples of x is [1 - 1.96(0.283), 1 + 1.96(0.283)] = [0.44, 1.56]. Since none of the answer choices fall within this interval, we cannot determine the correct answer without additional information.

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Answer:

18y−9

Step-by-step explanation:

Answer:

-9 - (-18y)

simplified more answer : -9 + 18y

if the 06 is a decimal then: answer: -9 - (-1.8y)

more simplfied answer: -9 + 1.8y

Step-by-step explanation: -3 x 3 = -9

-3 x 6y = -18 y

(if 06 a decimal: -3 x 0.6y = -1.8y)

variable answers (answers with a letter ) cannot be added together with a non variable answer

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

                           Median = \((\frac{n+1}{2} )^{th} \text{ obs.}\)

                           Median = \(\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}\)

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = \((\frac{n+1}{2} )^{th} \text{ obs.}\)

                   = \((\frac{5+1}{2} )^{th} \text{ obs.}\)

                   = \((\frac{6}{2} )^{th} \text{ obs.}\)

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

Answer:

13 people wouldn't have electricity

Step-by-step explanation:

Ratio of people with electricity to people without electricity is 8,000,000,000 : 1,000,000,000 or 8:1

8:1 = 100:x  We need to find x.  To do this, divide 100 by 8.

100/8 = 12.5

Then multiply the other side of the ratio (1) by that number.

12.5 · 1 = 12.5

Out of 100 people in a village 12.5 of them don't have electricity.  (You can't have half of a person so you round it to 13.)

W is a subspace of R4 since it satisfies closure under vector addition, closure under scalar multiplication, and contains the zero vector.

(a) W is a subspace of R4.

To prove that W is a subspace of R4, we need to show that it satisfies three conditions: closure under vector addition, closure under scalar multiplication, and contains the zero vector.

Closure under vector addition: Let's take two vectors (a₁, a₂, a₃, a₄) and (b₁, b₂, b₃, b₄) from W. We need to show that their sum is also in W.

(a₄ - a₃) + (b₄ - b₃) = (a₂ - a₁) + (b₂ - b₁)

(a₄ + b₄) - (a₃ + b₃) = (a₂ + b₂) - (a₁ + b₁)

This satisfies the condition and shows closure under vector addition.

Closure under scalar multiplication: Let's take a vector (a₁, a₂, a₃, a₄) from W and multiply it by a scalar c. We need to show that the result is also in W.

c(a₄ - a₃) = c(a₂ - a₁)

(c * a₄) - (c * a₃) = (c * a₂) - (c * a₁)

This satisfies the condition and shows closure under scalar multiplication.

Contains zero vector: The zero vector (0, 0, 0, 0) satisfies the equation a₄ - a₃ = a₂ - a₁, so it is in W.

Therefore, W satisfies all the conditions and is a subspace of R4.

(b) S is a spanning set of W.

The subset S = {(1, 0, 0, 1), (0, 1, 1, 0)} is given. To verify that S is a spanning set of W, we need to show that any vector (a₁, a₂, a₃, a₄) in W can be expressed as a linear combination of the vectors in S.

Let's consider an arbitrary vector (a₁, a₂, a₃, a₄) in W. We need to find scalars c₁ and c₂ such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄).

Expanding the equation, we get:

(c₁, 0, 0, c₁) + (0, c₂, c₂, 0) = (a₁, a₂, a₃, a₄)

From this, we can see that c₁ = a₁ and c₂ = a₂, which means:

c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄)

Therefore, any vector in W can be expressed as a linear combination of the vectors in S, proving that S is a spanning set of W.

(c) A basis for W is {(1, 0, 0, 1), (0, 1, 1, 0)}.

To find a basis for W, we need to ensure that the set is linearly independent and spans W. We have already shown in part (b) that S is a spanning set of W.

Now, let's check if S is linearly independent. We want to determine if there exist scalars c₁ and c₂ (not both zero) such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (0, 0, 0, 0).

Solving the equation, we get:

c₁ = 0

c₂ = 0

Since the only solution is when both scalars are zero, S is linearly independent.

Therefore, the set S = {(1, 0, 0, 1), (0, 1, 1, 0)} is a basis for W.

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The probability that the program will function properly is 0.998975, assuming that each probability is independent.

The probability that the program is going to work in a correct manner can be calculated by multiplying the probability that each line of code is thus correct (0.9999) by itself 985 times. 0.9999 x 0.9999 x 0.9999 x 0.9999 x ... 985 times = 0.998975. This would mean that there is a 99.8975% chance that the program will be working correctly.

Each line of code in a program needs to have the right syntax and logic for it to function correctly. Making sure that the code is correct is a crucial step here because mistakes in syntax or logic can prevent the program from running as intended. It is a crucial step here to make sure that every line of code is correct because even minor mistakes can have a significant impact on the program's performance.

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The general equation of the ellipse is as follows:

where (h, k) is the center of the ellipse.

Thus, the center of the given ellipse is (6,-3).

The endpoints of the major axis is given by the following expression:

From the given equation, the value of a² is 100. Thus, the value of a is 10.

Substitute the value of h, k, and a into the coordinates of the endpoints of the major axis.

Thus, the endpoints of the major axis are (6,7) and (6,-13).

This means that the endpoints of the major axis is 10 units away from the center.

On the other hand, the endpoints of the minor axis is b units away from the center. The value of b can be obtained from the equation.

Since b² is 36, the value of b must be 6. Thus, the endpoints of the minor axis is 6 units away from the center.

To graph the ellipse, the endpoints of the minor and major axes must be connected with a smooth curve.

To obtain the endpoints of the minor axis, substitute h, k, and b into the following coordinates.

Thus, the endpoints of the minor axes are (0,-3) and (12,-3).

Finally, to graph the ellipse, draw a smooth curve passing through the endpoints of the major and minor axes: (6,7), (6,-13), (0,-3) and (12,-3).

I believe that may be false

Answer:

Step-by-step explanation:

True.

Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.

This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.

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Answer: You can use the relationship:

y

−

y

0

=

m

(

x

−

x

0

)

With:

m

=

−

1

x

0

=

−

2

y

0

=

3

If you have difficulty have a look at the solution below.

.

.

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

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Answer:

the top right

Step-by-step explanation:

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

Step-by-step explanation:

The first step will always be to break it down into steps.

Nathan lifted 13 boxes, each weighing 12 lb more than Steven's boxes. Steven lifted 15.

The total weight of Nathan's boxes would be the weight of 1 box times 13, because he lifts a total of 13 boxes.

S is the weight of Steven's boxes.

Steven's box + 12 lb = the weight of one of Nathan's boxes.

Then, you would multiply that number by 13 to get your answer.

Therefore, the first option is correct.

13(s + 12)

number of boxes Nathan lifted(Steven's weight + the extra pounds)

Hope this helped!

Answer:

13(s + 12)

Step-by-step explanation: