Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?

A.
340

B.
940

C.
1088

D.
1260

There are 3,003 ways to choose 10 players out of 15 people to take the field.

There are different ways to approach this problem, but one common method is to use the combination formula.

The number of ways to choose 10 players out of 15 is given by the formula, where C(n, r) represents the number of combinations of k items that can be selected from a set of n items.

\(^{n}C_{r} =^{15}C_{10}\)

      = \(\frac{15!}{(15-10)!.10!}\)

      = \(\frac{15!}{(5)!.10!}\)

      = 15 x 14 x 13 x 12 x 11 / 5 x 4 x 3 x 2 x 1

      = 3,003 ways.

Therefore, there are 3,003 ways to choose 10 players out of a team of 15 players to take the field.

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Answer:

System of equations:

L = 5W + 7

2W + 2L = P

L = 62 cm

W = 11 cm

Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

Distribute:  2W + 10W + 14 = 146

Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

Put '11' in for W in the equation for 'L':  L = 5(11) + 7 or L = 55 + 7 = 62.

Answer:

b and d

Step-by-step explanation:

there is two answers

Answer:

0

x = 2y/0 = 0

x = 2y/2 = y

x = 3y/4

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

If Mr. Swift is traveling from his house to the history museum. The number of meters will he travel to the museum is 6,400 meters.

Given:

Distance=6.4 Kilometres

Hence:

1 kilometre= 1,000 meters

Number of meters=6.4 kilometres x 1,000 meters

Number of meters =6,400 meters

Therefore the number of meters will he travel to the museum is 6,400 meters.

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The given information shows that there were 1690 state parks in the year 2010, and by the year 2017, the number of state parks increased to 1760. Also, it's mentioned that the growth of state parks was linear.The linear equation is defined as `y= mx + c`, where m is the slope and c is the y-intercept.

In this case, let's assume that x is the number of years, and p(x) is the number of state parks present in that year.Since the equation is linear, the slope can be calculated using the given information:

Slope, `m = (y₂ - y₁) / (x₂ - x₁)

`Here, `y₂ = 1760`, `y₁ = 1690`, `

x₂ = 2017`, and `x₁ = 2010`

.Substituting the values in the above formula, we get:

Slope, `m = (1760 - 1690) / (2017 - 2010)`

= 70 / 7= 10

Now, we know the slope of the equation. We also know that in the year 2010, there were 1690 state parks. Therefore, the y-intercept, c = 1690 Substituting the values of slope and y-intercept in the equation

`y = mx + c`, we get the function equation: `

p(x) = 10x + 1690`.

`p(x) = 10x + 1690`

There were 1690 state parks in the year 2010, and by the year 2017, the number of state parks increased to 1760. Also, it's mentioned that the growth of state parks was linear.The linear equation is defined as `y= mx + c`, where m is the slope and c is the y-intercept. In this case, let's assume that x is the number of years, and p(x) is the number of state parks present in that year.Since the equation is linear, the slope can be calculated using the given information:

Slope, `m = (y₂ - y₁) / (x₂ - x₁)`

Here, `y₂ = 1760`,

`y₁ = 1690`, `x₂ = 2017`,

and `x₁ = 2010

`.Substituting the values in the above formula, we get:Slope,

`m = (1760 - 1690) / (2017 - 2010)`

= 70 / 7= 10

Now, we know the slope of the equation. We also know that in the year 2010, there were 1690 state parks. Therefore, the y-intercept, c = 1690Substituting the values of slope and y-intercept in the equation `

y = mx + c`,

we get the function equation:

`p(x) = 10x + 1690`.

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Given data:

The given figure is shown.

The area of the composite figure is,

Thus, the area of the given figure is 37 sq-feet, so first option is correct.

The most appropriate choice for reflection will be given by-

After reflection over y-axis, coordinate of K will become K' (6, -1)

After reflection over y-axis, coordinate of L will become  L' (0, -1)

After reflection over y-axis, coordinate of M will become M' (0, -2)

After reflection over y-axis, coordinate of J will become  J' (6, -2)

What is reflection?

Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.

The line is called the line of reflection.

Here,

After reflection over the y - axis, sign of x coordinate will be same.

Coordinate of K = (-6, -1)

After reflection over y-axis, coordinate of K will become K' (6, -1)

Coordinate of L = (0, -1)

After reflection over y-axis, coordinate of L will become L' (0, -1)

Coordinate of M = (0, -2)

After reflection over y-axis, coordinate of M will become M' (0, -2)

Coordinate of J = (-6, -2)

After reflection over y-axis, coordinate of J will become J' (6, -2)

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.Let's calculate the second-order partial derivatives of f(x, y).∂²f/∂x² = 2/xy²³[1]∂²f/∂y² = 2/x²y³[2]∂²f/∂x∂y

= –2/xy³[3]

At the critical point (1, 1), we have:∂²f/∂x² = 2,

∂²f/∂y² = 2,

and ∂²f/∂x∂y = –2.

So, Δ = ∂²f/∂x² × ∂²f/∂y² – (∂²f/∂x∂y)²

= (2 × 2) – (–2)²

= –4 < 0

Therefore, (1, 1) is a saddle point.

At the critical point (–1, –1), we have:∂²f/∂x² = –2

, ∂²f/∂y² = –2,

∂²f/∂x∂y = –2.

So, Δ = ∂²f/∂x² × ∂²f/∂y² – (∂²f/∂x∂y)²

= (–2 × –2) – (–2)²

= 0

Therefore, we can't conclude anything by this test.

At the critical point (–1, 1),

we have:∂²f/∂x² = –2,

∂²f/∂y² = 2, and

∂²f/∂x∂y = 2.

So, Δ = ∂²f/∂x² × ∂²f/∂y² – (∂²f/∂x∂y)²= (–2 × 2) – (2)²

= –8 < 0

Therefore, (–1, 1) is a saddle point.At the critical point (1, –1), we have:

∂²f/∂x² = 2,

∂²f/∂y² = –2, and

∂²f/∂x∂y = –2

.So, Δ = ∂²f/∂x² × ∂²f/∂y² – (∂²f/∂x∂y)²

= (2 × –2) – (–2)²

= –8 < 0

Therefore, (1, –1) is a saddle point.

Therefore, the given function has three saddle points.

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Answer:

0.000752739974

by the way  i used a calculator

       I hope this helps :)

Answer:

The distance between the airplane and the airport is:

\(c=6.64\: miles\)

Step-by-step explanation:

We can use the Pythagoras theorem to find the distance from the airplane to the airport.

The equation is:

\(c^{2}=a^{2}+b^{2}\)

Where:

We need first to convert 15000 feet in miles.

\(15000\: feet \times \frac{0.00019\: miles}{1\: feet}=2.85\: miles\)

Therefore, c will be:

\(c^{2}=a^{2}+b^{2}\)

\(c=\sqrt{a^{2}+b^{2}}\)

\(c=\sqrt{2.85^{2}+6^{2}}\)

\(c=6.64\: miles\)

I hope it helps you!

Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.

We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.

Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank

6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)

6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)

6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)

width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)

=  6x²- x + 12 - 3x² - 2x - 15

= 3x² - 3x - 3

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Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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The factors of the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that is true for f (9) = 0 are (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32).

The factor theorem states that: if p(x) is divisible by x - a if and only if p(a)=0.

The polynomial expression x^5 - 7x - 22x³ + 44x² - 104x + 288 and f (9) = 0, then x - 9 = 0 is a factor. Applying long division as follows;

x^5 divided by x equals x⁴

x - 9 multiplied by x⁴ equals x^5 - 9x⁴

subtract x^5 - 9x⁴ from x^5 - 7x - 22x³ + 44x² - 104x + 288 will result to 2x⁴ - 22x³ + 44x² - 104x + 288

2x⁴ divided by x equals 2x³

x - 9 multiplied by 2x³ equals 2x⁴ - 18x³

subtract 2x⁴ - 18x³ from 2x⁴ - 22x³ + 44x² - 104x + 288 will result to -4x³ + 44x² - 104x + 288

-4x³ divided by x equals -4x²

x - 9 multiplied by -4x² equals -4x³ + 36x²

subtract -4x³ + 36x² from -4x³ + 44x² - 104x + 288 will result to 8x² - 104x + 288

8x² divided by x equals 8x

x - 9 multiplied by 8x equals 8x - 72x

subtract 8x - 72x from 8x² - 104x + 288 will result to - 32x + 288.

-32x divided by x equals -32

x - 9 multiplied by -32 equals -32x + 288

subtract -32x + 288 from- 32x + 288 will result to a remainder 0(zero).

We can then conclude the factors (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32) are the product of linear factors for the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that makes it zero.

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The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

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If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.

\($L(x) = 150(x - T)$\) option b.

The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.

In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).

If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.

Based on this information, the Taguchi loss function for this example is given by:

b.\($L(x) = 150(x - T)$\)

In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.

The coefficient of \($150$\) represents the cost of repair per unit deviation.

This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.

The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.

In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.

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The average annual return on this investment from 2011 to 2015 is approximately 0.8%.

To calculate the value of a $1 investment made at the beginning of 2011 and its average annual return by the end of 2015, we need to multiply the successive annual returns and calculate the cumulative value.

The successive annual returns on small U.S. stocks from 2011 to 2015 are:

-3.80%, 19.15%, 45.91%, 3.26%, and -3.80%.

To calculate the cumulative value, we multiply the successive returns by the initial investment value of $1:

(1 + (-3.80%/100)) * (1 + (19.15%/100)) * (1 + (45.91%/100)) * (1 + (3.26%/100)) * (1 + (-3.80%/100))

Calculating this expression, we find that the cumulative value is approximately $1.044, rounded to three decimal places.

Therefore, a $1 investment made at the beginning of 2011 would have been worth approximately $1.044 at the end of 2015.

To calculate the average annual return, we need to find the geometric mean of the annual returns. We can use the following formula:

Average annual return = (Cumulative value)^(1/number of years) - 1

In this case, the number of years is 5 (from 2011 to 2015).

Average annual return = (1.044)^(1/5) - 1

Calculating this expression, we find that the average annual return is approximately 0.008 or 0.8% per year, rounded to two decimal places.

Therefore, the average annual return on this investment from 2011 to 2015 is approximately 0.8%.

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Answer:

the slope is 3 3 .

Step-by-step explanation:

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

Answer:

The slope is 20x

The y-intercept is 175

Answer:

23.3 is the answer to this question

The probability that Sharon randomly selects two apples from the basket of fruits, given that there are 5 apples and 3 pears, can be expressed as a fraction.

To find the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is the number of ways Sharon can select any two fruits from the basket, which can be calculated using combinations. In this case, there are 8 fruits in total, so the total number of possible outcomes is C(8, 2) = 28.

The number of favorable outcomes is the number of ways Sharon can select two apples from the five available in the basket, which is C(5, 2) = 10.

Therefore, the probability that both fruits Sharon selects are apples is 10/28, which can be simplified to 5/14.

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Answer: 33 shares

Step-by-step explanation:

Amount invested in the company = $41.25

Price per share = $1 1/4 = $1.25

To calculate the amount of shares that Martha invested in the company will be:

= Amount invested in the company/Price per share

= $41.25/$1.25

= 33 shares

Martha invested 33 shares in the company.

Answer:

131°.

Step-by-step explanation:

its equal to that other angle i forgot how but i learned this 1 week ago

When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Consider your square as being composed of smaller unit squares.

The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.

Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.

Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t

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Answer:

We conclude that the slope of the line represented by the equation \(y\:=\:\frac{4}{5}x-3\)  would be:

Step-by-step explanation:

We know that the slope-intercept of the line equation is

\(y=mx+b\)

here

Given the equation

\(y\:=\:\frac{4}{5}x-3\)

comparing with the slope-intercept of the line equation

The slope = m = 4/5

Thus, we conclude that the slope of the line represented by the equation \(y\:=\:\frac{4}{5}x-3\)  would be:

Dodie's triangular plot with 160 rose plants will have 12 rows.

To solve it,

Assigning a variable to the number of rows we want to find. Assume that this variable is "n".

Since there are 5 more plants in each row than in the previous row,

We can use an arithmetic sequence to represent the number of plants in each row.

Specifically, the first row will have 1 plant, and the second row will have

1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.

The formula for an arithmetic sequence is,

an = a1 + (n-1)d

Where an is the nth term of the sequence,

a1 is the first term,

And d is a common difference.

Using this formula, we can write an expression for the total number of plants in all n rows,

160 = n/2 (2 + (n-1)5)

Simplifying this equation, we get,

160 = 2.5n² + 2.5n - 5

Now we can solve for n using the quadratic formula,

n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))

After simplifying this equation, we get two solutions,

n = -13.2 and n = 12.2.

Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.

Now, since we can't have a fraction of a row, we'll round down to the nearest integer.

Therefore, Dodie's plot will have 12 rows.

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Answer:

x = 45

Step-by-step explanation:

\(540 + 6x = 810\)

Step 1 : Collect like terms

\(6x = 810 - 540\)

Step 2 : Simplify

\(6x = 270\)

Divide both sides of the equation by 6

\( \frac{6x}{6} = \frac{270}{6} \)

Step 4 : Simplify

\(x = 45\)

I hope it helps :)

Answer:

Well...X=45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:540+6*x-(810)=0

Pull out like factors :-270 + 6x  =   6 • (x - 45)

Solve  :    x-45 = 0::

Add  45  to both sides of the equation:  x = 45