The data given represents the height of basketball players, in inches, on two different girls' teams.


Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Super Stars
66 68 62
63 47 64
65 50 60
64 65 65
58 60 55


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Super Stars, with a mean of about 60.8 inches
The Allstars, with a median of 68 inches
The Super Stars, with a median of 63 inches

Answer:

Slope = -5/3

Step-by-step explanation:

Parallel lines have the same slope, so the slope will be -5/3.

Hope this helps!!

Answer:

-5/3x

Step-by-step explanation:

its the same slope

The probability of choosing a letter from L to Q from the box that contains ten cards is 3/5 or 0.6.

Probability determines the odds that an event would happen. The odds usually lie from 0 to 1.

The probability of choosing a letter from L to Q

                           = (total letters from L to Q) / total letters in the box

                           = n(s) / n(T)

we have total number of 10 cards here = n(T) = 10

from L to Q there are total number of 6 = n(s) = 6

therefore, The probability of choosing a letter from L to Q :

                           n(s) / n(T) = 6 / 10

                                           = 0.6

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The complete question is :

A box contains ten cards labeled J, K, L, M, N, O, P, Q, R, and S. One card will be randomly chosen. What is the probability of choosing a letter from L to Q? Write your answer as s fraction form.

Answer:

31cm

Step-by-step explanation:

14 + 8 + 9 = 31

Make sure to add the cm on the end!

The perimeter of the triangle is 31cm.

The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.

In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.

In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.

For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.

In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.

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Answer:

All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer: 4 Shirts

Step-by-step explanation:

Given

Person has \(\$80\)

Pant costs \(\$29\) and shirt costs \(\$12\)

Suppose \(x\ \text{and}\ y\) as number of pant and shirts

Spent money must be equal or less than the total money. The inequality becomes

\(\Rightarrow 80\geq29x+12y\)

For 1 pair of pants that is, 1 pants

\(\Rightarrow 80\geq 29+12y\\\Rightarrow 51\geq 12y\\\Rightarrow 4.25\geq y\)

That is maximum number of shirts that can be bought are 4.

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

According to the given question.

We have a linear equation in one variable.

4y - 6 = 2y + 8

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by

4y - 6 = 2y + 8

⇒ 4y - 2y - 6 = 8     ( subtracting 2y from both the sides)

⇒ 2y -6 -8 = 0           (subtracting 8 from both the sides)

⇒ 2y - 14 = 0

⇒ 2y = 14

⇒ y = 14/2

⇒ y = 7

Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.

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Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

Answer:

y = -3 ÷ 2x - 3

Step-by-step explanation:

As it can be seen that the line is passed by y-axis at -3.

Now we have to determine the slope

For this, use the following formula

= (x2 - x1) ÷ (y2 - y1)

At

(-2, 0), (0, -3)

So,

= (-3-0) ÷ (0+2)

= -3 ÷ 2

Now

Put in the following equation

y = mx + b.

where,

m = slope

b = y-intercept

So,

y = -3 ÷ 2x - 3

In order to determine which is the equation for D, use the following slope-intercept form of a line:

D = mt + b

where m is the slope of the line and b the y intercept.

Use the following formula to find the slope m:

where (t1,D1) and (t2,D2) are any pair of points on the line.

For instance, based on the graph, you have:

(t1,D1) = (0,100)

(t2,D2) = (1,75)

Replace the previous values of the parameters into the formula for m:

Now, consider tht the y-intercept is the value of y when x = 0.In this case, the

y-intercept is 100. b = 100

Replace the value of m and b into the slope-intercept equation:

D = -25t + 100

The slope of the line is -25

The interpretation is:

The term -25t means that for each hour the distance to Nathan's house is 25 miles less. Term 100 means that it is the initial distance to Nathan's house.

a. the inverse of the given elementary matrix is

```

[ 1  0  0  0 ]

[ 0  1  0  0 ]

[ 0  0  1 -8 ]

[ 0  0  0  1 ]

b. the inverse of the given elementary matrix is the same as the original matrix itself

```

[ 0  1  0  0 ]

[ 1  0  0  0 ]

[ 0  0  1  0 ]

[ 0  0  0  1 ]

```

c.  the inverse of the given elementary matrix is:

```

[ 1   0   0  0 ]

[ 0 -1/3  0  0 ]

[ 0   0   1  0 ]

[ 0   0   0  1 ]

```

(a) The 4×4 elementary matrix that replaces row 3 with (row 3 + 8 row 4) can be represented as:

```

[ 1  0  0  0 ]

[ 0  1  0  0 ]

[ 0  0  1  8 ]

[ 0  0  0  1 ]

```

To find the inverse of this elementary matrix, we perform the same row operation but with the opposite coefficient. In this case, we need to replace row 3 with (row 3 - 8 row 4). Therefore, the inverse of the given elementary matrix is:

```

[ 1  0  0  0 ]

[ 0  1  0  0 ]

[ 0  0  1 -8 ]

[ 0  0  0  1 ]

```

(b) The 4×4 elementary matrix that interchanges row 1 with row 2 can be written as:

```

[ 0  1  0  0 ]

[ 1  0  0  0 ]

[ 0  0  1  0 ]

[ 0  0  0  1 ]

```

To find the inverse of this elementary matrix, we perform the same row interchange operation. Therefore, the inverse of the given elementary matrix is the same as the original matrix itself:

```

[ 0  1  0  0 ]

[ 1  0  0  0 ]

[ 0  0  1  0 ]

[ 0  0  0  1 ]

```

(c) The 4×4 elementary matrix that scales row 2 by -3 can be expressed as:

```

[ 1  0  0  0 ]

[ 0 -3  0  0 ]

[ 0  0  1  0 ]

[ 0  0  0  1 ]

```

To find the inverse of this elementary matrix, we scale row 2 by the inverse of -3, which is -1/3. Therefore, the inverse of the given elementary matrix is:

```

[ 1   0   0  0 ]

[ 0 -1/3  0  0 ]

[ 0   0   1  0 ]

[ 0   0   0  1 ]

```

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Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

Dave and Tanvir each think of a number, where Dave's number is larger,

The difference between their numbers is 5. Dave's number plus twice Tanvir's number is 26. By forming simultaneous equations, determine each bloke's number. The numbers are 12 and 7.

The number of Dave is 12 and the number of Tanvir is 7.

Given that

Dave and Tanvir each think of a number, where Dave's number is larger.

The difference between their numbers is 5.

Dave's number plus twice Tanvir's number is 26.

To find

By forming simultaneous equations, determine each bloke's number.

So, according to the question

Let's assume that numbers are x and y.

So, we can say that

      x - y = 5 ------------(1)  and

   x + 2y = 26 ------------(2)

We have to solve that equations by using forming simultaneous equations.

For forming simultaneous equations, we have multiply equation(1) by 2, then add eq(2) with result.

So, we will get

      2x - 2y = 10

  (+)  x + 2y = 26

---------------------------

       3x +0 = 36

            3x = 36

             x = 36/3

            x = 12

Putting the value of x in equation (1),

We will get,

        x - y = 5 ------------(1)

        12 - y = 5

            - y = 5 - 12

            - y = -7

              y = 7

The numbers are 12 and 7.

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The value of the index at the end of the day is $46,400. The value of the index at the end of the day can be calculated by considering the initial values of each stock and the percentage increase of the index.

To calculate the value of the index at the end of the day, we need to determine the total value of all the stocks at the beginning of the day and then apply the percentage increase.

Let's calculate the total value of each stock at the beginning of the day:

- Stock X: 5000 shares * $4.10/share = $20,500
- Stock Y: 2000 shares * $4.50/share = $9,000
- Stock Z: 4000 shares * $3.60/share = $14,400

Now, let's calculate the total value of all the stocks at the beginning of the day:

$20,500 + $9,000 + $14,400 = $44,900

Next, we need to apply the 3.4% increase to the total value of all the stocks:

3.4% of $44,900 = 0.034 * $44,900 = $1,526.60

Finally, we add the increase to the initial value:

$44,900 + $1,526.60 = $46,426.60

Rounding to the nearest hundred, the value of the index at the end of the day is approximately $46,400.

Therefore, the value of the index at the end of the day is $46,400.

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Answer:

send the graph and ill solve it

Step-by-step explanation:

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Question

In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP?

• one half the area of circle L

• one third the area of circle L

• one half the circumference of circle L • one third the circumference of circle L

Answer:

• one third the circumference of circle L

Step-by-step explanation:

In the question, we are told that:

In circle L, arc MNOP is 120° and the radius is 5 units.

We are asked to find the statement amongst the options that describes the arc length MNOP of Circle L

Step 1

Find the Area of circle

Area of a circle = πr²

r = 5 units

Area of a circle = π × 5²

Area of a circle = π × 25

Area of a circle = 78.53981634 square units

Step 2

Find the arc length of a circle

Arc length = 2πr × θ /360

r = 5 units

θ = 120°

Arc length = 2 × π × r × 120/360

Arc length = 2 × π × r × (1/3)

Arc length = 2 × π × 5 × (1/3)

Arc length = 10.47198 units

Step 3

Circumference of a circle = 2πr

= 2 × π × 5

= 31.415926536 units

Since the Circumference of a circle = 2πr

Arc length of the circle for the above calculation, = 2πr × 1/3

Therefore, the statement that best describes the arc length MNOP of Circle L is:

" the arc length MNOP is one third the circumference of circle L"

Answer:

the arc length MNOP is one third the circumference of circle L

Step-by-step explanation:

i fishie yupo

Let be "x" and "y" the two positive numbers mentioned in the exercise.

You need to remember the following definitions:

- A Difference is the result of a Subtraction.

- A Product is the result of a Multiplication.

In this case, you know that their Difference is 12 and their Product is 693. So you can set up this System of Equations:

You can solve the System of Equation using the Substitution Method:

1. You can solve for the variable "x" from the first equation:

2. Substitute this new equation into the second original equation and simplify:

3. Now you have to solve for "y", in order to find its value:

- Rewrite the equation in this form:

Since it is the variable "y":

Then:

4. Use the Quadratic Formula to find the values of "y". The formula would be:

In this case:

Then, substituting values and evaluating, you get:

5. Since the numbers mentioned in the exercise are both positive, you must choose only the positive values. Therefore:

6. To find the value of "x", you have to substitute the value of "y" into the equation

Then:

7. Finally, you have to solve the Addition:

The answer is:

Answer:

28 percent

Step-by-step explanation:

you divide 217 by 775 and you get 0.28

Answer:

The answer is 28%

Step-by-step explanation:

217:775*100 =

(217*100):775 =

21700:775 = 28

217 percentage of 775 = 28.

               Yw Have A Wonderful Day !! :)

Answer:

umm is there a a picture?

Step-by-step explanation:

Answer:

you need to provide the graphs home boy

Step-by-step explanation:

Answer: Thursday

Explanation: its Thursday because Monday is 5° below 0 is a negative number and Wednesday is 2° below 0 is also a negative number because its below 0. Now on Thursday its 3° above 0 which is the correct answer you need because its above the negative numbers of 0 which = a positive number now Tuesday is 0° which is just 0 nothing else.

Simple <3

Answer:

its Thursday

Step-by-step explanation:

because it states 3 above 0

Answer:

b) m = 1/2

c) m = 3

d) m = 1/3

Step-by-step explanation:

b) rise = 1, run = 2; m = rise/run, so m = 1/2

c) rise = 3, run = 1; m = rise/run, so m = 3

d) rise = 1, run = 3; m = rise/run, so m = 1/3

The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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The perimeter of the rectangle ABCD in the coordinate plane is 8 units

An equation is an expression that shows the relationship between variables and numbers.

The distance between two points in the coordinate plane is given by:

\(Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

The vertices of the rectangle is A(-6, -4), B(-4, -4), C(-4, -2) and D(-6, -2). Hence:

\(AB=\sqrt{(-4-(-4))^2+(-4-(-6))^2}=2\ units \\\\BC=\sqrt{(-2-(-4))^2+(-4-(-4))^2}=2\ units\)

Perimeter of ABCD = 2(AB + BC) = 2(2 + 2) = 8 units

The perimeter is 8 units

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You did it right ! Great Job

Answer:

In ΔQRS, q = 63 cm, s = 62 cm and ∠S=106°.

Step-by-step explanation:

The solution is ∠Q = 180° - (74° + 106°) = 180° - 180° = 0°

The number of red tiles in the box given the chance ratio of red to blue tiles is 18

Ratio

Number of red tiles = x

Number of blue tiles = 12 + x

Total tiles = x + 12 + x

= 12 + 2x

Ratio of red = 3

Ratio of blue = 5

Total ratio = 3 + 5 = 8

Number of red tiles = 3 / 8 × 12+2x

x = 3(12 + 2x) / 8

x = (36 + 6x) / 8

8x = 36 + 6x

8x - 6x = 36

2x = 36

x = 36/2

x = 18 tiles

Not so sure if not I'm sorry.

Answer:

There are red tiles and blue tiles in a box The ratio of red tiles to blue tiles is 3 to 5 there are 12 more blue tiles down reptiles in a box how many red tails are in the box

Answer:

Step-by-step explanation:

The formula in the response bar seems incorrect.  The question asks for a value of A 3 times that of B.

That means   A = 3B

(7x-6) = 3(3x + 2)   [The formula in the response box has 3(7x-6) = (3x + 2)]

7x - 6 = 9x + 6

-2x = 12

x = -6

A:  (7x-6)

     (-42-6) = -48

B:   (3x + 2)

      (-18 + 2) = -16

Does A = 3B?

       (-48) = 3*(-16) ??

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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The length of the missing side of the right triangle is approximately equal to 6.028.

In this problem we find the case of a right triangle, where one side and an angle are known and we need to determine the measure of other side. This can be done by means of trigonometric functions, whose most common forms are described below:

sin θ = x / r

cos θ = y / r

tan θ = y / x

Where:

If we know that y = 8 and θ = 53°, then the missing length is:

tan 53° = 8 / x

x = 8 / tan 53°

x = 6.028

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