River C is 500 miles longer than River D. if the sim of their lengths is 5,510 miles. what is the length of each River?

River C is __

River D is __
(Marking brainliest)

The optimal Bayesian classifier is the one that minimizes the probability of misclassification. This can be achieved by choosing the class that has the highest posterior probability given the observed data. In this case, we need to compare the conditional class probabilities P2(t) and P0(I) for each data point and choose the class with the higher probability.

To find the optimal Bayesian classifier, we need to find the values of a and b that define the decision boundary between the two classes. This can be done by setting P2(t) = P0(I) and solving for x:

P2(t) = P0(I)
Pr(Y; = 1|X, = x) = Pr(Y; = 0[Xi = 1)
1 - P2(I) = P2(I)
2P2(I) = 1
P2(I) = 0.5

Now we can solve for x to find the decision boundary:

0.5 = Pr(Y; = 1|X, = x)
0.5 = P2(I)
x = a + b

Therefore, the optimal Bayesian classifier is of the form:

if Xe [a, b] then yi = 1
if Xe [b, a] then yi = 0

where a and b are the values of x that satisfy P2(I) = 0.5.

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A total of 23800 cubes can fit inside the box of the given dimensions.

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.

The volume of the box would be -

V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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Answer:

Step-by-step explanation:

similar - AA

The ΔBES is similar to ΔGES by AA similarity postulate.

Similar triangles are those triangles, where the angles of the triangles are equal and the sides are proportional.

Given a bigger triangle BEG.

There are two smaller right angled triangles BES and GES.

For ΔBES, ∠BES = 40° and ∠BSE = 90°

For ΔGES, ∠GES = 40° and ∠GSE = 90°

By AA similarity postulate, if two angles of one triangle is equal to two angles of another triangle, then the triangles are similar.

Here, two angles of ΔBES is equal to two angles of ΔGES.

So two triangles are similar.

Hence the two triangles are similar by AA similarity postulate.

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Your question is incomplete. The complete question with the image of the triangle is as given below.

Answer:

Step-by-step explanation:

Answer:

  15.8%

Step-by-step explanation:

You want the percentage of world bike production represented by 13.239 million bikes out of a world production of 84 million bikes.

A fraction is converted to a percentage by multiplying it by 100%.

  13.239/84 × 100% ≈ 15.8%

Germany contributed about 15.8% of the world's bike production in 2006.

The triangles are congruent by ''ASA congruency theorem.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two triangles PQT and PZX are shown in figure.

Now, By figure;

In both triangles PQT and PZX,

⇒ ∠ QTP = ∠ PXZ

⇒ PQ = PZ

⇒ ∠ QPT = ∠ XPZ     (By definition of vertically opposite angle.)

Thus, By ASA congruency theorem both triangles are congruent.

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Based on the definition of a right angle, the value of x is: B. 40.

A right angle is an angle that measures exactly 90 degrees, or one quarter of a full circle. The symbol used to represent a right angle is a small square placed in the corner where the two lines or rays meet

Therefore, if two parts of a right angle measures 10 degrees and 2x respectively, we would have:

2x + 10 = 90

Subtract 10 from both sides:

2x = 90 - 10

2x = 80

2x/2 = 80/2

x = 40

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Answer:

20000

Step-by-step explanation:

i think this is the right answer i could

The vertex of the parabola is at the point (-3/2, -21/4) and the range of the function would be (-21/4, infinity).

What is the quadratic function?

A quadratic function is a function of the form [tex]f(x) = ax^2 + bx + c,[/tex] where a, b, and c are constants, and a is not equal to 0. It is a type of polynomial function that can be graphed as a parabola, which is a symmetric curve that opens either upwards or downwards.

Given the table of points for the continuous quadratic function h(x), we can find the vertex and range of the function. Since the function is quadratic and continuous, it can be represented in the standard form [tex]f(x) = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola.

To find the vertex, we can use the fact that the x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of the quadratic term and the linear term, respectively. In this case, a = 1 (since the function is continuous and quadratic), and b can be found using any two points on the parabola:

[tex]b = (h(x2) - h(x1))/(x2 - x1) = (4 - 7)/(-2 + 1) = 3[/tex]

Therefore, the x-coordinate of the vertex is x = -b/2a = -3/2. To find the y-coordinate of the vertex, we can evaluate the function at this value of x:

[tex]h(-3/2) = (1)(-3/2 - h)^2 + k[/tex]

To solve for k, we can use one of the points on the parabola, say (-6, 12):

[tex]12 = (1)(-6 - h)^2 + k[/tex]

Expanding and simplifying, we get:

[tex]12 = (h - 6)^2 + k[/tex]

Substituting -3/2 for h, we get:

[tex]12 = (-(3/2) - 6)^2 + k\\\\12 = 81/4 + k\\\\k = -21/4[/tex]

Therefore, the vertex of the parabola is at the point (-3/2, -21/4).

To find the range of the function, we can look at the shape of the parabola. Since the coefficient of the quadratic term is positive, the parabola opens upwards, and the vertex is the lowest point on the graph. Therefore, the range of the function is all real numbers greater than or equal to the y-coordinate of the vertex, which is -21/4. In interval notation, we can write the range as (-21/4, infinity).

Hence, the vertex of the parabola is at the point (-3/2, -21/4) and the range of the function would be (-21/4, infinity).

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Answer: greater than 6 cm. less than 20 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) To develop a scatter chart, we plot the DJIA on the x-axis and the S&P 500 on the y-axis. The scatter chart indicates whether there is a linear relationship between the two variables.

(b) The estimated regression equation is ŷ = b0 + b1x, where x is the DJIA and ŷ is the predicted value of S&P 500. We can use a regression analysis to estimate the values of the regression coefficients b0 and b1. The estimated regression model is ŷ = 340.6548 - 0.0202x.

(c) The 95% confidence interval for the regression parameter b1 can be found using the t-distribution with n-2 degrees of freedom, where n is the sample size. The interval is ( -0.036, -0.004), which does not include zero. Therefore, we reject the null hypothesis that b1 = 0, and conclude that there is a significant linear relationship between DJIA and S&P 500.

(d) The 95% confidence interval for the regression parameter b0 can also be found using the t-distribution with n-2 degrees of freedom. The interval is ( 536.772, 144.537), which does not include zero. Therefore, we reject the null hypothesis that b0 = 0, and conclude that the intercept is significantly different from zero.

(e) The coefficient of determination R^2 measures the proportion of variation in the dependent variable (S&P 500) that is explained by the independent variable (DJIA). In this case, the model explains 73.23% of the variation in S&P 500.

(f) To estimate the closing price for the S&P 500 when the DJIA is 13,600, we substitute x = 13,600 into the regression equation:

ŷ = 340.6548 - 0.0202(13,600) = 88.572

Therefore, the estimated closing price for the S&P 500 is $88,572 (rounded to the nearest integer).

As a result, option B is the equation that finds the equation of the line: y/x = 2/3.

An equation is a mathematical statement that indicates that two expressions are equal. It is a statement of equality that contains one or more variables, which are usually represented by letters. An equation consists of two sides separated by an equal sign (=). The left-hand side (LHS) and the right-hand side (RHS) of the equation may contain different expressions, which may include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To find the equation of the line that passes through the points (0,0) and (6,4), we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line is given by the rise over run, or the change in y divided by the change in x, between any two points on the line.

We can use the coordinates (0,0) and (6,4) to find the slope of the line:

slope = (change in y) / (change in x)

= (4 - 0) / (6 - 0)

= 4/6

= 2/3

Therefore, the slope of the line is 2/3.

To find the equation of the line, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is any point on the line. We can use the point (0,0), so the equation becomes:

y - 0 = (2/3)(x - 0)

Simplifying, we get:

y = (2/3)x

Therefore, the expression that finds the equation of the line is option B: y/x = 2/3.

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The value of x for the function x > 2 is x ≤ -1. This is represented by the following graph.

A graph is a format similar to a set of elements in different mathematics, more categorically graph theory, in which some pairs of objects are conceptually "connected". Elements are represented by mathematical abstractions called vertices (sometimes called nodes or points), and each pair of allied vertices is called an edge (also called a link or line). A graph is usually characterized as a collection of points or circles defining vertices and lines or curves representing edges. One of the details studied in discrete mathematics is graphs. 

The given function is:

G(x)={x if x < or equal to 2 -3 if x >2

Here, the value of x for x > 2 is x ≤ -1. This is represented by the following graph.

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Answer:

Step-by-step explanation:

Item: $15

on sale:$15 -35% or 15*7/20=

$9.75~

So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.

An arrangement of integers into rows and columns is called a rectangular matrix. Every single number in a matrix is referred to as a "matrix element" or "entry." The example matrix, designated as A, has two rows and three columns.

To express matrix B as a linear combination of matrices A1, A2, and A3, we need to find coefficients x, y, and z such that:

B = xA1 + yA2 + z*A3

Substituting the matrices B, A1, A2, and A3 into this equation, we get the following system of linear equations:

x + z = 1

x - y + z = 1

-3x + y + z = 0

x + y + z = 1

Solving this system of equations, we get:

x = 1/2

y = 1/2

z = 0

Therefore, we have:

B = (1/2)*A1 + (1/2)A2 + 0A3

Substituting the values of A1, A2, and A3, we get:

B = (1/2)[1 0] + (1/2)[0 1] + 0*[1 -1]

= [1/2 1/2]

So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.

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We can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:

B = 2 A2 + A3

In linear algebra, a linear cοmbinatiοn οf matrices is a sum οf scalar multiples οf thοse matrices. That is, given matrices A1, A2, ..., An and scalars c1, c2, ..., cn, their linear cοmbinatiοn is defined as:

c1A1 + c2A2 + ... + cnAn

Tο write B as a linear cοmbinatiοn οf A1, A2, and A3, we need tο sοlve the system οf linear equatiοns:

x1 A1 + x2 A2 + x3 A3 = B

where x1, x2, and x3 are the cοefficients οf the linear cοmbinatiοn.

Rewriting the matrix equatiοn, we get:

x1 + x3 = 1

x1 - x3 = 1

-3x1 + x2 + x3 = -3

x2 + x3 = 1

Sοlving this system οf equatiοns, we get:

x1 = 0

x2 = 2

x3 = 1

Therefοre, we can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:

B = 2 A2 + A3

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The total length of the stickers that are more than 2 inches long is 5 1/2 inches. The Option C is correct

A length is the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of an object.

The calculation of the total length of the stickers that are more than long is as follows:

= 2 1/4 + 2 1/2 + 2 3/4 + 3

= 9/4 + 5/2 + 11/4 + 3

= 9 + 10+ 11 + 12 / 4

= 42/4

= 10 2/4 inches

= 5 1/2 inches

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Full question "Jalesia has a set of train stickers. She measures the length of the stickers. Then she makes a line plot of the data. h of Stickers In jalesia takes all the stickers that are more than  long. She lays them end to end across her folder. What is the total length of the stickers that are more than  long?"

Answer:

x = 10

Step-by-step explanation:

We know that it's a right triangle and it's two sides, which are 6 and 8

So we can find the third side, the Hypotenuse or x, using the Pythagoras Theorem

6² + 8² = Hypotenuse ²

36 + 64 = Hypotenuse²

100 = Hypotenuse²

Hypotenuse = root100

Hypotenuse = 10

Therefore x = 10

The monthly cost for 39 minutes of calls is $14.30.

Let's start by using the given information to find the slope and y-intercept of the linear function that gives the monthly cost in terms of the total calling time. We can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

Using the points (34, 14.69) and (57, 17.68), we get:

m = (17.68 - 14.69) / (57 - 34) = 0.09

To find the y-intercept, we can use the point-slope form with either of the two points:

y - 14.69 = 0.09(x - 34)

y - 14.69 = 0.09x - 3.06

y = 0.09x + 11.63

So the monthly cost (y) is a linear function of the total calling time (x) with a slope of 0.09 and a y-intercept of 11.63.

To find the monthly cost for 39 minutes of calls, we simply substitute x = 39 into the equation:

y = 0.09(39) + 11.63 = 14.30

Hence, the monthly cost for 39 minutes of calls is $14.30.

What is cost price ?

Cost price refers to the amount of money that is paid to purchase an item or produce a good. It includes all the costs incurred in the production or acquisition of an item, such as the cost of raw materials, labor, and other expenses. Cost price is important for businesses because it helps determine the profit margin on a product, which is the difference between the selling price and the cost price. A business needs to set a selling price that covers the cost of producing or acquiring a product and leaves room for profit.

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Answer:

17 numbers in this range.

Step-by-step explanation:

For this function, the domain consists of all positive three-digit integers. There are 900 such integers, from 100 to 999.

The range consists of all numbers between 2 and 18, inclusive, since the smallest possible sum is 1+0+0 = 1 and the largest possible sum is 9+9+1 = 19, but the function only takes the sum of the largest and smallest digits. There are 17 numbers in this range.

Answer:

Step-by-step explanation:

The domain of this function consists of all positive three-digit integers. There are 900 three-digit integers in total, from 100 to 999 inclusive.

The range of this function consists of all integers between 2 and 18 inclusive, since the smallest and largest digits of a three-digit integer can range from 1 to 9, and their sum can range from 2 (1 + 1) to 18 (9 + 9). So the range has 17 elements in total: {2, 3, 4, ..., 18}.

Answer:

Photo below.

Step-by-step explanation:

Red Line = y=3x−3/4

Blue Line =  y=−x/3−3/2

Hope it helped!

The sequence of transformations that maps triangle ABC onto triangle A”B”C” is given as follows:

First we must look at one vertex of the original triangle, and I am going to choose vertex A, which has the coordinates given as follows:

A(-1,1).

From the change in the orientation of the triangle, we can see that it was reflected over the x-axis, transformation for which the rule is (x,y) -> (x, -y), hence:

A'(-1,-1).

The coordinates of vertex A'' are given as follows:

A(-4,-4).

This means that each coordinate of vertex A' was multiplied by 4, thus the second transformation is a dilation with a scale factor of 4.

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Answer:

A

Step-by-step explanation:

y = - x + 6 → (1)

x - 3y = 18 → (2)

substitute y = - x + 6 into (2)

x - 3(- x + 6) = 18 ← distribute parenthesis and simplify left side

x + 3x - 18 = 18

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

substitute x = 9 into (1) and evaluate for y

y = - x + 6 = - 9 + 6 = - 3

solution is (9, - 3 )

Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

What is translation and reflection?

The translation is when we slide a figure in any direction. Reflection is when we flip a figure over a line.

Based on these two statements, Tyler can determine the following:

1. RST = R’’S’’T’’

4. R = R’ = R’’

5. TS = T’S’ = T’’S’’

Tyler cannot determine that RS = ST = TR, because reflections and translations do not necessarily produce congruent figures. Similarly, Tyler cannot determine that R = S = T, because reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

Hence, Reflections and translations do not guarantee that all corresponding sides of the figures will be equal.

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The area of the irregular figure to the nearest tenth is 8.12 sq. ft.

Shapes classified as irregular lack both equal sides and equal angles. The entire area occupied by an irregular shape on a two-dimensional plane is referred to as the shape's area. An irregular form can be split into a number of regular shapes, such as triangles, squares, and rectangles, to determine its area. The area of those smaller shapes can then be added to determine the total area.

Given that, the diameter of the semicircle= 2.8 ft.

The radius of the semicircle = 1.4 ft.

The area of the semicircle is:

A = πr² / 2

A = (3.14)(1.4)²/2

A= 3.077 sq. ft

The area of the triangle is given as:

A = 1/2(b)(h)

A = 1/2(2.8)(3.6)

A = 5.04 sq. ft

The area of the irregular figure is:

A = Area of semicircle + area of triangle

A = 3.077 + 5.04

A = 8.117 sq. ft

Hence, the area of the irregular figure to the nearest tenth is 8.12 sq. ft.

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Answer:

The net profit would be 26-18=6 dollars per hour.

we need hours such that 8h≥264 =>h≥33 hours

Answer:

No solution

Step-by-step explanation:

We are given the following equation and asked to solve for x

[tex]\dfrac{\left(x+2\right)}{2x-2}=\dfrac{1}{2}[/tex]

[tex]\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\dfrac{a}{b}=\dfrac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot[/tex]

[tex]\left(x+2\right)\cdot \:2=\left(2x-2\right)\cdot \:1[/tex]

[tex]\mathrm{Simplify}2x + 2 = 2x - 2\\\\\textrm{Subtract\;$2x$\;both\;sides}:\\-2 = 2[/tex]

Since the sides are not equal this indicates there is no solution to this system.

The correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

A mathematical argument is a sequence of statements and reasons given with the aim of demonstrating that a claim is true or false.

Given is that Bob is 13 feet tall. So, Bob is taller than most other people.

The correct statement is -

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

Therefore, the correct statement is Option - B →

The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.

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Answer:

C = .25m + 5.45

Step-by-step explanation:

c = (1..05 - .8)m + (16.40 - 10.95)

C = .25m + 5.45

The Luxury car cost  25 cents more per mile and an a higher initial cost of $5.45

In the case of 9 x 9, using the Commutative Property, we can rewrite it as 9 x 9 = 9 x 9. The product of these two factors is 81, which is the same regardless of the order of the factors.

The Commutative Property of Multiplication is one of the fundamental properties of arithmetic. It states that the order of the factors in a multiplication expression does not affect the product. In other words, you can multiply two numbers in any order and still get the same result.

For example, if you have the multiplication expression 2 x 5, you can switch the order of the factors and write it as 5 x 2, and the result is still the same:

2 x 5 = 5 x 2 = 10

Similarly, for the expression 3 x 4, you can switch the order of the factors and write it as 4 x 3, and the result is still the same:

3 x 4 = 4 x 3 = 12

The Commutative Property is a fundamental property of multiplication, and it is used in many mathematical operations, including simplifying expressions, solving equations, and more.

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