En la final de un concurso escolar de
matemática participan 6 alumnos de los
cuales 3 son alumnos del colegio A. Si se
premia a los dos primeros con regalos
diferentes, entonces la probabilidad de que
los alumnos del colegio A obtengan los dos
premios (no hay empates), es:

The simplified value  of expression -36/(27/3*2) is -8.

Given an expression -36/(27/3*2).

We are required to find the simplified value of given expression. To simplify the expression we need to use addition,subtraction,multiplication, division, brackets, etc. We can say that we have to use BODMAS in order to find the simplified value of expression.

Expression is combination of numbers, symbols, coefficients, determinants, indeterminants, fraction,algebraic operations,etc.  usually not found in equal to form.

The given expression :

=-36/(27/3*2)     (Multiplying 3 and 2 first)

=-36/(27/6)

=(-36*2)/9   (Invert the fraction given in denominator)

=-72/9          (Multiplying -36 to 2)

=-8

Hence the simplified value of expression -36/(27/3*2) is -8.

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Answer:

Step-by-step explanation:

The proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

The complete question requires that we calculate the proportion of the variation in y that can be explained by the variation in the values of x

The given parameters in the question are:

The regression equation is reported as

y = − 10.51x + 15.05

r = − 0.45

Take the square of both sides in the equation r = − 0.45

r^2 = − 0.45^2

Evaluate the squares

r^2 = 0.2025

This represents the proportion of the variation in y that can be explained by the variation in the values of x

Hence, the proportion of the variation in y that can be explained by the variation in the values of x is 0.2025

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The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.

The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.

For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.

The first value here is given to be 0

Next we have the 1 0 = 10

The next that we have is 1 0 and 1 1 written as 1011

Next is 1 zero and three one = 1031

We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.

Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.

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Answer: 4

Step-by-step explanation:

x - (1/3)x - (1/6)x = 2

(6x - 2x - x)/6 = 2

3x/6 = 2

x=4

Answer:

Step-by-step explanation

Answer:

$13.47 per hour

Step-by-step explanation:

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

Answer:

(x-7)/9

Step-by-step explanation:

F(c) = 9x + 7

y = 9x + 7  Now switch the y and the x and solve for y

x = 9y + 7  Subtract 7 from both sides

x - 7 = 9y  Divide both sides by 9

(x-7)/9

Answer:

Step-by-step explanation:

To do conversion change miles into feet and hour into second.

One foot is 5280 feet

And an hour is 3600sec

70 miles / Hour

70 * 5280feet / 3600 second

369600 feet / 3600seconds

Then simplify

102. 66 feet / Second

Speed given

1 mi=5280ft

1h=3600s

So convert

Answer:

A child ticket costs $16.50 and an adult ticket costs $25.45.

It is found that the child ticket costs $16.50 and an adult ticket costs $25.45.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  4 children and 2 adults are $116.90. For 6 children and 3 adults, the admission is $175.35.

Assuming a different price for children and adults,

Let the children are x and the adult is y.

Therefore,

4x + 2y = 116.90

6x + 3y = 175.35

Hence, the child ticket costs $16.50 and an adult ticket costs $25.45.

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need help I don't know the answer

Answer:

13/3 or 4.333

Step-by-step explanation:

Let the number be x

the sum of x and 7 is 6 less than 4x, giving the equation: x+7+6 = 4x

Solve:

x+7+6 = 4x

x+13 = 4x

13 = 3x

x = 13/3

The given statement that's true about the function is g(-13) = 20 is true for g.

From the information given, the function, g, has a domain of -20 < x < -5 < g(x) <45 and that g(0)= -2 and g(-9)= 6.

Let's analyze the options that are given in the scenario. g(7) = -1. It should be noted that 7 isn't in our domain. Therefore, this isn't possible.

g(-13) = 29

x = 13 is in our domain and 20 is also is in our range. Therefore, this is true for g.

g(0) = 2.

This isn't true because it is given that g(0) = 2

In conclusion, the given statement that's true about the function is g(-13) = 20 is true for g.

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Answer:

x=70, y=55

Step-by-step explanation:

Since the angle "y" and 2x-15 form a straight line, that means the sum of the angles, must be 180 degrees.

So using this we can derive the equation: [tex]y+2x-15=180[/tex]

The next thing you need to know is that the sum of interior angles of a triangle is 180 degrees, so if we add all the angles, we should get 180.

So using these we can derive the equation: [tex]x+2y=180[/tex]

So, in this case we simply have a systems of equations. We can solve this by solving for x in the second equation (sum of interior angles), and plug that into the first equation.

Original Equation:

[tex]x+2y = 180[/tex]

Subtract 2y from both sides

[tex]x = 180-2y[/tex]

Now let's plug this into the first equation

[tex]y+2x-15=180[/tex]

Plug in 180-2y as x

[tex]y+2(180-2y)-15=180[/tex]

Distribute the 2

[tex]y+360-4y-15=180[/tex]

Combine like terms

[tex]-3y + 345 = 180[/tex]

Subtract 345 from both sides

[tex]-3y = -165[/tex]

Divide both sides by -3

[tex]y=55[/tex]

So we can plug this into either equation to solve for x

[tex]x+2y=180[/tex]

Substitute in 55 as y

[tex]x+2(55)=180[/tex]

[tex]x+110=180[/tex]

Subtract 110 from both sides

[tex]x=70[/tex]

Answer:

  x = 70°

  y = 55°

Step-by-step explanation:

The angle sum theorem and the definition of a linear pair can be used to write two equations in the two unknowns. Those can be solved for the angle values.

  x + y + y = 180° . . . . . . angle sum theorem

  y + (2x -15) = 180° . . . . definition of linear pair

We can use the first equation to write an expression for x that can be substituted into the second equation:

  x = 180 -2y

  y +(2(180 -2y) -15) = 180 . . . . substitute for x

  345 -3y = 180 . . . . . . . . . . . collect terms

  115 -y = 60 . . . . . . . . . . . . .divide by 3

  y = 55 . . . . . . . . . . . . . . add (y-60)

  x = 180 -2(55) = 70

The values of the variables are ...

  x = 70°

  y = 55°

  exterior angle = 125°

The domain of the relation shown in the graph is -4 <= x <= 4

The relation on the graph is an ellipse function.

The domain is the set of x values the function can take

From the graph, we have the following x values

This means that the domain of x in the graph is -4 <= x <= 4

Hence, the domain of the relation shown in the graph is -4 <= x <= 4

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The  statement that is not true for​ goodness-of-fit tests is: A. Expected frequencies must be whole numbers.

Goodness-of-fit tests can be defined as the test conducted to help find out whether the observe value work hand in hand with expected value or the observe value is different from the expected value.

The statement is not true because it is not must for expected frequencies  to be whole number  despite the fact that expected  frequencies are whole numbers.

Therefore the  statement that is not true for​ goodness-of-fit tests is: A. Expected frequencies must be whole numbers.

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The lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.

Higher-priced speaker = 170 × x

= 170x

Lower-priced speaker = 80 × 4x

= 320x

Total sales = $4,410

170x + 320x = 4,410

490x = 4,410

divide both sides by 490

x = 4,410 / 490

x = 9

So,

Number of lower-priced speaker = 4x

= 4 × 9

= 36

Number of higher-priced speaker = x

= 9

Therefore, the lower-priced speaker docks and higher-priced speaker docks is 9 and 36 respectively.

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Answer

B

explanation

3480ones = 3480x1=3480

Answer:

19

Step-by-step explanation:

63÷21=3

21 was multiplied by 3 to get 63

CG by 3 should give 57

Answer: [tex]x=2, y=1[/tex]

Step-by-step explanation:

Subtracting the second equation from the first yields [tex]2x=4 \longrightarrow x=2[/tex].

This means that [tex]y=1[/tex].

So, the solution is [tex]x=2, y=1[/tex]

From the given descriptions and dimensions, we have;

6. 2000 cm²

7. 81 m²

8. a. 138 m²

b. 538 m²

c. 62 cm²

9. $107.25

6. Type of box = Open box with no lid

Side length of the box = 20 cm

Therefore;

Number of faces of the box, painted = 5

Area of a face of the box = 20² = 400

7. Area of the plastic to cover one book, A, is found as follows;

A = 2 × 20 × 15 + 2 × 3 × 15 + 2 × 20 × 3

Which gives;

The area of plastic needed to cover 1000 books is therefore;

Total area = 1,000 × 810 cm² = 810,000 cm²

Conversion of cm² to m² gives;

Therefore;

A = 810,000 cm² = 810,000 cm² × 1/10,000 m²/cm² = 81 m²

8. The surface areas are;

a. A = 2 × 3 × 6 + 5 × 6 + 7 × 6 + 2×3×(3+7)/2 = 138

b. A = 2 × 15 × 5 + 2×(10×5 + (6×8)/2) + 2×8×15 = 538

A = 150 + 148 + 240 = 538

c. From the congruent marks, we have;

A = 5 × 3 × 3 + 5×1×3 + 2×1×1 = 62

9. From the congruent markings, we have;

A = 2 × (1.5 × 1.5 + (1.5 × 1.3)/2) + 5×2×1.5

A = 6.45 + 15 = 21.45

Surface area of a the canvas, A = 21.45 m²

Cost per unit area of the canvas, c = $5

Cost of the canvas for the tent, C, is therefore;

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Answer:

10 ≤ f(x) < 52

Step-by-step explanation:

the range is the values of f(x) given by the domain - 2 ≤ x < 5

substitute the end points of the interval into f(x)

f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10

f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52

then range is 10 ≤ f(x) < 52

Answer:

The function would be odd

The answer is neither.

Let's take an odd number and substitute.

Now, let's take an even number.

Since both even and odd numbers are possible, it is neither.

Answer:

First, transform the given equation into the slope intercept form.

-5x + 3y >= 9

3y >= 5x + 9

y >= 5/3x + 3

Then graph the line y = 5/3x + 3. Draw a solid line with y intercept 3 and slope of 5/3.

Finally, shade everything that is above the line.

Answer:

take 14/0.4the multiply by ten both the denominator and .numerator then simplify by two your final answer will be 35

Seven less than the product of thirteen times a number, and two squared is as follows;

(13x × 2²) - 7

The expression says  seven less than the product of thirteen times a number, and two squared.

Let

the number  = x

Hence, the product of thirteen times a number, and two squared is as follows:

13(x)(2²)

Therefore,  seven less than the product of thirteen times a number, and two squared is as follows;

(13x × 2²) - 7

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The wholesale cost for the pianos that Tim pays the manufacturer, wages and utility bills that Tim pays are counted as explicit cost. On the other hand, the salary that Tim could earn if he worked as an accountant and the rental income that Tim could earn from renting his showroom fall under implicit cost.

Difference between Implicit Cost and Explicit Cost:

These two expenses, implicit cost and explicit cost, both represent company activity. The connection between cost and business is what distinguishes these two.

An explicit cost is one that the owner bears directly; an implicit cost is one that the owner bears indirectly without paying or utilizing its own resources. However, the organization or corporation takes into account both expenses while making management decisions.

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Answer:

Step-by-step explanation:

Draw UT                         Construction

UT = UT                         Reflexive Property

BT = EU                           Given

BU = ET                           Given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

The bolded parts are the blanks you need to fill in.

Answer:

Draw UT                         construction

UT = UT                         reflexive property

BT = EU                           given

BU = ET                           given

ΔUBT = ΔEUT                SSS = SSS

<B = <E                             CPCTC

hope this helps!

The number exists 99, then 99 - 49 = 50

Therefore, the pair of two-digit numbers exist between 99 and 49.

In math, the word difference exists as the outcome of subtracting one number from another.

Let the first pair of two-digit numbers be xy and the second pair of numbers be yx.

we want a two-digit number, a two-digit number begins from 10 and ends with a two-digit number that exists 99.

Let the difference of 50 exists possible when we take the biggest two-digit number

Therefore, the number exists 99

99 - 49 = 50

Therefore, the pair of two-digit number exists 99 and 49.

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Using translation concepts, it is found that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation y -> y + k represents:

Hence:

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