Need help ASAP please

The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.

Let's denote:

A: Playing varsity sports

B: Playing a team sport

We are given:

P(B) = 43% = 0.43 (Probability of playing a team sport)

P(A) = 21% = 0.21 (Probability of playing varsity sports)

We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.

The conditional probability formula is:

P(A|B) = P(A ∩ B) / P(B)

P(A ∩ B) represents the probability of both A and B occurring simultaneously.

In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.

Now we can calculate P(A|B):

P(A|B) = P(A ∩ B) / P(B)

       = 0.21 / 0.43

      ≈ 0.4884

Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

BEA and AED are supplementary angles  whose sum is 180°

Step-by-step explanation:

complete question is:

Consider rectangle ABCD with diagonals BD and AC  intersecting at E.

Which is true about the angle relationships in the  rectangle? Check all that apply.

Answer:

it is abd

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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the indentation diagonal length is approximately 0.0686 units.

What is Intention Diagonal Length?

The indentation diagonal d is determined by the mean value of the two diagonals d 1 and d 2 at right angles to each other: To avoid the risk of bulging of the material on the opposite side of the sample, the thickness should not fall below a certain minimum value. value. The minimum thickness depends on the expected hardness of the material and the test load.

To calculate the indentation diagonal length using the Vickers hardness value, you need to know the applied load and the hardness number. The Vickers hardness test measures the resistance of a material to indentation using a diamond indenter.

In this case, you have the following information:

Load: 0.700 kg

Vickers HV: 650

The Vickers hardness number (HV) is defined as the applied load divided by the surface area of the indentation.

The formula to calculate the indentation diagonal length (d) is:

d = 1.854 * sqrt(L / HV)

Where:

d = indentation diagonal length

L = applied load in kg

HV = Vickers hardness number

Plugging in the values:

d = 1.854 * sqrt(0.700 / 650)

Calculating the square root and performing the division:

d ≈ 1.854 * 0.0370262

d ≈ 0.0686

Therefore, the indentation diagonal length is approximately 0.0686 units. Please note that the specific unit (e.g., millimeters) was not provided in the question, so the answer is given in relative units.

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Answer:

60

Step-by-step explanation:

half of 2/5 is 1/5 so half of 24 is 12.

since 12  is 1/5 of the number multiply 12 by 5 and you get 60.

The whole number will be 60 whose two fifths will be 24.

Given, Two fifths of a number is 24.

Writing in form of equation,

Let the whole number be x.

So, two fifth of x is 24.

\(\frac{2}{5} of x = 24\)

\(\frac{2}{5} \times x = 24\)

Apply cross multiplication,

\(x = \frac{24 \times 5}{2}\)

x = 60.

Therefore the whole number is 60.

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Answer:√2/2

Step-by-step explanation:

Let's label the sides of the right triangle as follows:

The side adjacent to the angle θ (cosine is adjacent/hypotenuse): 6

The hypotenuse (the longest side): 6√2

The side opposite to the angle θ (sine is opposite/hypotenuse): 6√3

Using the Pythagorean theorem, we can find the length of the missing side:

a² + b² = c²

6² + (6√3)² = (6√2)²

36 + 108 = 72

144 = 72

√144 = √72

12 = 6√2

Now that we know the length of all three sides, we can use the cosine ratio to find the value of cos(θ):

cos(θ) = adjacent/hypotenuse = 6/6√2 = √2/2

Therefore, the value of cos(θ) in the right triangle with sides of 6, 6√2, and 6√3 is √2/2.

A) In both cities = 0.3

B) In neither cities = 0.2

Given,

P(Industry in Shanghai) = P(A) = 0.7

P(Industry in Beijing) = P(B) = 0.4

P(Industry in Shanghai or Beijing)  = P(A∪B) = 0.8

a) We need to find the probability that the industry is located in both Shanghai and Beijing.

That is we need to find P(A∩B)

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the values we get,

0.8 = 0.7 + 0.4 - P(A∩B)

P(A∩B) = 0.3

Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.

b) Now, we need to find the probability that it is not in either cities

Probability = 1 - Probability(Industry in Shanghai or in Beijing)

                = 1 - P(A∪B)

                = 1 - 0.8

                = 0.2

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The question is incomplete. Completed question is given below.

The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

A. in both cities?

B. in neither city?

McDonald's uses Collaborative Planning, Forecasting, and Replenishment (CPFR) to optimize its supply chain operations, employing time series and linear trend forecasting for accurate demand projections and efficient inventory management.

In conclusion, McDonald's uses CPFR and time series/linear trend forecasting to optimize the supply chain, improve inventory management, and enhance customer satisfaction.

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Answer:

the x

Step-by-step explanation:

Looking at the x in an equation can reveal its shape. A linear graph can look like y=x, y=mx, y=mx+b (m being any number).

When you look at graphs that aren't linear, the x doesn't stand alone in the equation.

Parabolas have a y=x^2 equation. Cubic graphs are y=x^3. They have something attached to the x.

To see all the different kinds of equations and what their graphs look like you can search up "parent functions" and all the basic formulas show up.

Answer: Yes it is

Step-by-step explanation:

Answer: ΔUTS ≅ ΔRST

Step-by-step explanation:

ΔTSU is congruent to ΔSTR, not ΔUTS

ΔUTS is congruent ΔRST not ΔRTS

ΔUTS ≅ ΔRST

Hope I helped!

Answer:

p=-6

Step-by-step explanation:

the first thing to do is to add all like terms for example \(\frac{1}{3}\)p+\(\frac{1}{2}\)p would turn into \(\frac{2}{6}\)p+\(\frac{3}{6}\)p to make it so we can add them together which after we add both of those p's together we get \(\frac{5}{6}\)p which now we have \(\frac{5}{6}\)p+7=\(\frac{7}{6}\)p+5+4 which now we add 5 and 4 which we get 9 which now the equation looks like \(\frac{5}{6}\)p+7=\(\frac{7}{6}\)p+9 which now we subtract 7 from 9 and we are left with 2 so now the equation is \(\frac{5}{6}\)p=\(\frac{7}{6}\)p+2 which now we subtract \(\frac{7}{6}\)p from \(\frac{5}{6}\)p and we are left with -\(\frac{2}{6}\)p=2 which now we divide both sides by -\(\frac{2}{6}\) which makes the equation look like p=2÷-\(\frac{2}{6}\) which equals -6 so all we are left with is p=-6

Answer:

p=-6

Step-by-step explanation:

Answer:

5,424 ft.

Step-by-step explanation:

For every 1 foot the ski lift goes up by, it travels west 4 feet. So, because we know that the lift will be 1,356 feet higher at the top of the mountain, all we have to do is multiple 1,356 by 4.

1,356 * 4 = 5,424 ft.

I hope this helps. :)

Answer:

Volume = 2,143.57 mm³

Step-by-step explanation:

Given:

radius (r) = 8 mm

π = 3.14

Required:

Volume of the sphere

Solution:

Volume of the sphere = ⁴/3πr³

Plug in the values

Volume = ⁴/3 × 3.14 × 8³

= ⁴/3 × 3.14 × 512

= 6,430.72/3

Volume = 2,143.57333

Volume = 2,143.57 mm³ (nearest hundredth)

For x = 7 will make the third side equal, so the triangles will be congruent by SSS.

What is the midpoint of the line?

In geometry, the midpoint is the middle of a line segment. It is equidistant from both endpoints and serves as the segment and endpoint centroid.

Given that M is a midpoint.

By definition of midpoint AM=MD.

It is given AB=CD in figure.

Two of the sides are equal .to prove the triangles to be congruent by SSS the third side must be equal

That is BM=CM,

Or  4x-1=3x+6

4x - 3x - 1 = 3x - 3x + 6

Simplifying, we get

x = 7.

Hence, x = 7 will make the third side equal, so the triangles will be congruent by SSS.

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Answer:

C-7

Step-by-step explanation:

took the assignment

The 13th term of the geometric sequence can be determined by finding the common ratio of the sequence and using it to calculate the value of the 13th term.

Let's denote the first term of the geometric sequence as 'a' and the common ratio as 'r'. According to the given information, the 3rd term is 36, which can be written as:

a * r^2 = 36 ---(1)

Similarly, the 7th term is 576, which can be expressed as:

a * r^6 = 576 ---(2)

To find the common ratio 'r', we can divide equation (2) by equation (1):

(r^6)/(r^2) = 576/36

r^4 = 16

Taking the fourth root on both sides, we get:

r = 2

Now, we can substitute the value of 'r' into equation (1) to find the value of 'a':

a * (2^2) = 36

4a = 36

a = 9

Finally, we can calculate the 13th term using the formula:

Term(n) = a * r^(n-1)

Term(13) = 9 * (2^(13-1))

Term(13) = 9 * 2^12

Term(13) = 9 * 4096

Term(13) = 36,864

Therefore, the 13th term of the geometric sequence is 36,864.

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A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.

The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:

Do note that the register referenced in the questions is unavailable hence the general answer.

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer:

the mean is 12

Step-by-step explanation:

a mean is a set of numbers of two or more numbers

so becuase 12 repeats there, its your mean

The rules that defines the graphed function include the following: B. y = x + 2; y = 5

By critically observing the graph, we can logically deduce that the function represents a piecewise-defined function and there are two lines on this graph.

The first line has the following points;

(0, 2) and (3, 5)

Therefore, we would express 2 and 5 as a sum of 2 as follows;

(0, 0 + 2) and (3, 3 + 2)

This ultimately implies that, the y-value is the sum of 2 and the x-value:

y = x + 2

The other line has a constant y-value of 5 for any or all x-values:

y = 5

In conclusion, the rules that defines the graphed function are y = x + 2 and y = 5

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Answer:

20 - 20 =0 me trying to get the points lol edit : oh well I couldn't get the points:( lol

Answer:

3.8 pages per minute

Step-by-step explanation:

what what you do is divide 114 by 30.

Answer:

3.8 pages per minute.

Step-by-step explanation:

Divide 114 pages by 30 minutes to get 3.8.

P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.

1) The statement is true. Suppose (x^,y^) is an extreme point of P. To show that x^ is an extreme point of Q, we need to prove that for any two distinct points x_1, x_2 in Q, the line segment connecting x_1 and x_2 lies entirely in Q. Since Q is the projection of P onto x-space, it means that for any x in Q, there exists y in R^k such that Ax + By ≥ b.

Now, let's assume x_1 and x_2 are two distinct points in Q. Since they belong to Q, there exist corresponding y_1 and y_2 in R^k such that Ax_1 + By_1 ≥ b and Ax_2 + By_2 ≥ b. Since P is a polyhedron, the set of points that satisfy Ax + By ≥ b is a convex set. Therefore, the line segment connecting x_1 and x_2, denoted by [x_1, x_2], lies entirely in P. Since the projection of a convex set onto a subspace is also a convex set, [x_1, x_2] lies entirely in Q. Thus, x^ is an extreme point of Q.

2) The statement is false. Suppose x^ is an extreme point of Q. It does not necessarily imply the existence of a corresponding y^ such that (x^, y^) is an extreme point of P. This is because the projection Q onto x-space may not capture all the extreme points of P. It is possible for multiple points in P to project to the same point in Q, making it impossible to uniquely determine y^.

3) The statement is true. If x^ is an extreme point of Q and P does not contain a line, then there exists a corresponding y^ such that (x^, y^) is an extreme point of P. Since P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.

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Explanation:

Through trial and error, we can set up these equations

This shows that choices A, C and D are eliminated. This is because 5, 10 and 32 all can work as either x or y in x^y = 1024, and that the other value is some other integer.

On the other hand, x = 16 doesn't work and neither does y = 16 if we wanted the other value to be an integer.

Solving x^16 = 1024 leads to approximately x = 1.5422 when we focus on the positive real number solution. This isn't an integer, so x^16 = 1024 doens't have any integer solutions.

Solving 16^y = 1024 leads to a similar situation as described in the previous paragraph. It doesn't have any integer solutions either (instead the value is y = 2.5)

So we have a few ways of arriving at why choice B is the final answer.