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The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the edge of the roof as shown.

(2,1)(6,3)

Does each support have the same starting coordinates? Explain.
Does each support have the same ending coordinates? Explain.
Does each support have the same change in x-values? Explain.
Does each support have the same change in y-values? Explain.
Does each support have the same ratio of change in y-values over change in x-values? Explain.

The solutions are;

The joint probability of y1 and y2 is  [tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex] and F(1,0) = 1/3.

Given data;

Let y1 signify the number of contracts awarded to firm a and y2 the number of contracts assigned to firm b. Recall that each firm can receive 0, 1, or 2 contracts. Contracts for two construction tasks are randomly assigned to one or more of three firms, a, b, and c.

To find,

(a) The joint probability function for  y₁ and y₂

Let y₁ denote the number of contracts assigned to firm A,

y₂ the number of contracts assigned to firm B

      y₁

      [tex]\left[\begin{array}{ccc}0&1&2\\\\\end{array}\right][/tex]

        y₂

[tex]\left[\begin{array}{ccc}0\\1\\2\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1/9&2/9&1/9\\2/9&2/9&0\\1/9&0&0\end{array}\right][/tex]

(b) Find F(1,0)

F(1,0) =  p(y₁ ≤ 1, y₂ ≤ 0)

         = p(0,0) + p(1,0)

         = 1/9 + 2/9

         = 1/3.

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The after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

We need to simplify 1 over 6x + 3 over 4 ( 1 over 2x - 4)

1/6x + 3/4 (1/2x - 4)

1/6x +3/4 ((1 - 8x)/2x)

1/6x + (3 - 24x)/8x

(8 + 6(3 - 24x))/(6x8) x

(8 + 18 - 144x)/48x

(26 - 144)/48x

Therefore, the after simplification of the expression 1 over 6x + 3 over 4 ( 1 over 2x - 4), we get (26 - 144)/48x.

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Answer:

the answer is 19: 4

Step-by-step explanation:

19:4

If I || m, find the value of x and y.

Given (7x + 12)

(12x - 28)

(9y-77)

What does the term " l || m " represents?

This term indicates that the line 'l' is parallel to the line 'm'.

It can be seen that, ∠(7x + 12) and ∠(12x - 28) from alternate interior angles as line 'l' and 'm' are parallel. These angles will be equal to each other. Therefore, we can write -

7x + 12 = 12x - 28

12x - 7x = 12 + 28

5x = 40

x = 8

Now, ∠(12x - 28) and ∠(9y - 77) form a straight angle. Therefore, we can write -

(12x - 28) + (9y - 77) = 180

(12 x 8 - 28) + (9y - 77) = 180

68 + 9y - 77 = 180

9y = 180 + 9

9y = 189

y = 21

Hence the answer is, the values of [x] and [y] will be 8 and 21 respectively.

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Answer:

C (41)

Step-by-step explanation:

A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.

Answer:

x=41

Step-by-step explanation:

(X+16)+123=180

x+139=180

 -139. -139

x=41

Hopes this helps please mark brainliest

With the exception of x=4/5, the domain of s(x) over t(x) is all real numbers. Except when x=-3/2, all real numbers fall within the domain of w(x).

Given,

The value of the independent variable, often x, for which the supplied function is specified is the domain of a function.

When the value of the denominator falls to zero, a function that is composed of the fraction of two polynomials is not defined.

The numerator of t(x) should not be zero since the domain of s(x) over t(x) will be all real integers except the numerator of zero.

t(x) = 0

5x + 4 = 0

5x = -4

x = -4/5

With the exception of x=-4/5, all real numbers fall into the domain of s(x) over t(x).

Similar to w(x), s(x) should not be zero because the domain of w(x) will be all real numbers except for the one that makes the denominator equal to zero.

s(x) = 0

2x - 3 = 0

2x = 3

x = 3/2

With the exception of x=-3/2, all real numbers fall within the domain of w(x).

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The model equation for the given situation is

$0.75x + $0.90)/(3 + x) = $0.60 where,

x ----> known number of green beads

$0.60 ---> bracelet average per bead

Averages cost is defined as the ratio of total cost of all purchsed expenses to the total numbers of purchsed expenses in counts .

We have given that,

Noemi strings x green beads and 3 blue beads.

Cost of each green beads = $0.75

Cost of each blue beads = $0.30

Total cost of purchasing is product of total number of expenses by cost of each expense. So, Total cost of green beads = $ 0.75 x

Total blue bead cost = 3 x 0.3 = $ 0.9

Total number of beads used by Noemi = x + 3

Total cost of all beads (green+blue)

= $(0.75x + 0.9

Average of bracelets is $0.60 per bead

So average formula ,

($0.75 x + $0.9)/(x+3) = $0.60

or 0.75 x + 0.9 = 0.60x+ 0.18 => 0.75x - 0.60x= 0.9

=> 0.15x = 0.9 => x = 6 i.e we get total 6 green beads if solve the model.

Hence, equation of model in this situation is

($0.75 x + $0.9)/(x+3) = $0.60

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36.3 inches the tall is she in.

Given that;

Percentage of vertical jump height = 27.5%

Dagne's height = 13.2 inches

We need to find:

Height of jump

We know that the formula for Computation:

Height of jump = Percentage of vertical jump height × Dagne's height

so,

Height of jump = 13.2 × 27.5

That equals to

Height of jump = 36.3 inches

Hence the answer is 36.3 inches the tall is she in.

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hola buenas tardes como está el día de hoy ? yo estoy bien gracias por preguntar, espera...hablas español verdad...?

Answer: All real numbers

Step-by-step explanation: It is pretty simple. Just see if the x can be undefined. In this case x works with every number. So, it's all real numbers

We can make 75 different outfits by using the fundamentals of the counting principles.

Fundamental of counting principles: It states that if there are m ways of making one choice, n ways of making a second choice, and p ways of making the third choice then there are m x n x p ways of making the first choice, followed by the second choice, and followed by the third choice.

Given that:

The different number of tops (m) = 5

The different number of bottoms (n) = 5

The different number of shoes or boots (p) = 3

Then, according to the fundamental of counting principles, we will multiply the different numbers of tops (m) which is the first choice, different numbers of bottoms (n) which is the second choice, and different numbers of shoes or boots (p) which is the third choice.

Therefore, the different outfits we can make = m x n x p

                                                                            = 5 x 5 x 3

                                                                            = 75 different outfits

Hence, we can make 75 different outfits.

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Answer:

1/x

Step-by-step explanation:

Answer: v<-8

im not sure if that what your looking for but

Total cost  to tile the kitchen =$273.78

Let the width of kitchen = w

The length of the kitchen is nine feet shorter than three times its width, w  = 3 w-9    equation-----1

The perimeter of the kitchen is six times the width = 6 w

= 2(length+width) =6 w    equation----2

from equation 1 and 2

= 2(3 w-9+w) = 6 w

= 6 w-18+2 w = 6 w

   2 w = 18

   w = 9

Length = 3 w-9

length  = 3×9-9

length  = 18

Area of kitchen = length×width

                          = 18×9

                          = 162 square foot

Cost of tiles per square = $1.69

Total cost  to tile the kitchen = Area of kitchen × cost of tiles per square

                                                = 162×$1.69

                                                =$273.78

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet  

Area =   162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

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The 95% confidence interval for the average apple weight is (119.14, 125.86).

Given info,

The average weight per apple, according to one manufacturer, is 120 grams, with a standard deviation of 12 grams. The average weight per apple, according to data produced from a sample of 49 apples drawn at random from a shipment, was 122. 5 grams.

Let,

n = 49

x = 122.5

σ = 12

To calculate and interpret a 95% confidence interval for the mean weight per apple;

∴ A 95% confidence interval is given by,

(x ± 1.96*σ/√n)

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Hence, a 95% confidence interval for the mean weight per apple is  (119.14, 125.86).

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The height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

You can use indirect measurement to estimate the height of a flag pole.

Given:

AC || DE

The common angle: Angle B = Angle B

Angle BAC = Angle BDE

Triangle ABC = Triangle DBE (By AA rule)

BC/BE = BA/BD

(7.5 - 4.5)/BE = 5/22

BE = 13.2

The height of the flag pole

h = BE + 4.5 = 13.2 + 4.5 = 17.7 ft

Thus, the height of the flagpole is 17.7 ft after applying the concept of the similarity of triangles.

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Answer: 0 = 70º

Step-by-step explanation: Solve sin(π/9) = cos(0) to find angles

Answer:

5

Step-by-step explanation:

Answer: The answer to that would be 5.

Step-by-step explanation:

Hope this helps!

Answer:

so that means they would each get 2 and a half of apple and orange slices

Step-by-step explanation:

48 ÷ 24 =2

36 ÷ 24 =1.5

=2 1.5

5 gallon tubs of ice cream will make 80 cups of ice cream servings.

According to the question,

We have the following information:

The PTA is purchasing 5 gallon tubs of ice cream cups. One gallon of ice cream is 16 Cups.

Now, we know that when we have to find cost or number of any product then we use multiplication.

Now, we have the following expression:

1 gallon of tub = 16 cups of ice cream

5 gallon of tubs = 5*16 cups of ice cream

5 gallon of tubs = 80 cups of ice cream

Hence, 5 gallon tubs of ice cream will make 80 cups of ice cream servings.

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2/3 of cookies were she saved.

A fraction represents a part of a whole.

The first batch consisted of 120 gingerbread cookies

Second batch consisted of 150 shortbread cookies.

And, the same fractions of cookies from each batch were saved.

Let x parts of each of cookies were saved.

Then The number of the saved gingerbread cookies = 120 x

While, The number of the saved shortbread cookies = 150 x

150x-120x=20

30x=20

x=20/30

x=2/3

Hence 2/3 of cookies were she saved.

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If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.

What is an obtuse scalene triangle?

An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles

Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .

Let's find the length of WX.

                         [tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]

Now find the length of XY.

                        [tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]

Now find the length of WY.

                      [tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]

So from calculations, we can say that triangle is an obtuse scalene triangle.

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The value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

We are given the following expression:

Negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity.

Rewrite the given expression properly as:

-1/5 * (4 - 14) * (1/4)^2

Evaluate the difference, we will get;

-1/5 * (-10) * (1/4)^2

Evaluate the exponent, we will get;

-1/5 * (-10) * 1/16

This gives us;

2 * 1/16

Further, evaluation give us;

1/8

So, the value of the given expression is 1/8 or one eighth.

Option B is correct.

Thus, the value of negative one fifth times the quantity 4 minus 14 times the quantity one fourth squared end quantity is one eighth. Option B is correct.

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Probability that a continuous random variable (x) will take on a value between 34 and 35 is 1/8

Uniform distribution is a type of probability distribution which consists constant probability.

It is also known as Rectangular distribution and

denoted by U( x,y ) .

let X be a continuous random variable then

X ~ U( x,y) where x is maximum value and y is minimum value .

Probability density function of uniform distribution is f(X) = 1/(b-a) , where

b---> maximum value , a---> minimum value

we have provided the interval of uniform distribution as 30 to 38 i.e b = 38 , a = 30

then , f( X) = 1/ (38-30) = 1/8

Probability that X will take on value between c and d is

P ( c ≤X≤ d ) =( d -c )/ (b-a )

Probability that X will take on a value between 34 and 35 is

P ( 34≤X≤35) = ( 35-34)/ 8 = 1/8

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The required age from the equation is 12 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age to be calculated be = a

The age of the brother be b = ( 1 / 3 ) a

Multiply by 3 on both sides , we get

a = 3b

So , Age to be calculated a = 3b

The age of sister c = 6 years elder than brother

So ,

The age of sister c = b + 6

The age of sister c = 10

From the equations , we can simplify that

c = b + 6

Substituting the value for c , we get

10 = b + 6

Subtracting 6 on both sides , we get

b = 4

Now , from the equation , we get

Age to be calculated a = 3b

                                      = 3 x 4

                                      = 12 years old

Hence , the age to be calculated a is 12 years old

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Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

Differentiation is the process of determining a function's derivative. Differentiating algebraic functions, trigonometric functions, and exponential functions are the three fundamental derivatives. The velocity is the rate at which a displacement changes in relation to time. A differentiation example would be this. The first derivative of displacement is velocity. The second derivative of displacement is acceleration.

Given,

The radius is decreasing at a rate of dr/dt = 3.

R = 100 cm is the beginning value of the radius.

The duration is t = 25 minutes.

Volume of snowball:

V = 4/3π(100 - 3r)³

Differentiating:

dV/dt = 4/3 × 22/7 (3)(-3)(100-3(25)²)

dV/dt = -23561.94 cm³

Decreasing rate of volume 5 minutes later is 23561.94 cm³, when its radius decreases at a constant rate of 3 cm per minute from an initial value of 100 cm.

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Answer:

[tex]x=\frac{-8+y}{6}[/tex]

Step-by-step explanation:

Let us evaluate this problem.

First, add Y to both sides

[tex]-6x-y+y=-8+y[/tex]

Always remember to simplify.

[tex]-6x=-8+y[/tex]

Divide both sides by -6

[tex]\frac{-6x}{6} =\frac{8}{-6} +\frac{y}{-6}[/tex]

Simplify one more time.

[tex]x=\frac{-8+y}{6}[/tex]

Your final answer is:
[tex]x=\frac{-8+y}{6}[/tex]