in how many ways can you form a numeral between 300 and 899, inclusive, using only the digits 1, 4, 5, 6, 8, and 9

Mathematically, the expected payback is $9.5.

Below, this is further discussed.

What is the anticipated return?

In general, the likelihood times the value are multiplied together to calculate the projected payback.

E(x) = p(x_1)*x_1 + p(x_2)*x_2 + .....

We have two different repayment alternatives in this situation.

Winning

The payback is $500 - $10 = $490

x_1 = 490

The likelihood of winning is one in a thousand (since the choices are 0 to 999)

p(x 1) = 1/1000

Losing

Due to the fact that the person did not win anything, they actually lost $8.

x _2 = -10

The other 999 numbers are regarded as losing numbers because there is only one number that can win.

p(x 2) = 999/1000

E(x) = p(x 1)*x 1 + p(x 2)*x 2 = (1/1000)* 490+ is the expected payback as a result.

Learn more about expected payback here;

https://brainly.com/question/28819723

#SPJ4

Answer:

Sketch the graph of y=7^x

Reflect the graph across the y-axis to show the function y=7^-x

Stretch the graph vertically by a factor of 3 to show the function y=3*7^-x            

Shift the graph up 2 units to show the function y=3*7^-x+2

Step-by-step explanation:

Answer: Draw a graph showing y=7x. The graph can be reflected across the y-axis to display the function y=7x-x. To display the function y=3*7-x, multiply the graph's vertical extent by 3. The graph should be moved up 2 units to display the function y=3*7-x+2.

:)

The complete question is

"One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°"

The transformations that could have taken place are R0, 270°or R0, -90°

Let the vertex be V.

So, we have:

V = (3, –2)  before rotation

V' = (2, 3) after rotation

The possible transformations from V to V' are;

A 90 degrees counterclockwise rotation (r0, -90) is given :

(x, y) --(-y , x)

So,

(3, –2) --- (2, 3)

A 270 degrees clockwise rotation (r0, 270) is given :

(x, y) --(-y, x)

So,

(3, –2) --- (2, 3)

By comparing the endpoints of the rotations to V' = (2, 3), we can conclude that the transformations that could have taken place are: r0, 270°or r0, -90°.

Read more about transformations at:

brainly.com/question/11707700

#SPJ1

Answer:

c and d

Step-by-step explanation:

just did it

Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

Answer:

(4x+3)(2x-5)

Step-by-step explanation:

8 factors: 1,8  2,4

-15 factors: -1,15  -3,5  -5,3  -15,1

(4x+3)(2x-5)

Answer:

(4x+3)(2x-5)

Step-by-step explanation:

Answer:

sqrt (233)

Step-by-step explanation:

Use pythagorean theorem

a^2 + b^2 = hypotenuse^2

8^2 + 13^2 = hypot^2

233 = hypot ^2          hypot = sqrt 233

If √ x √ y = 12 and y ( 9 ) = 81 ,then by implicit differentiation y ' = -6.75.

Starting with the equation √x√y = 12, we can differentiate both sides with respect to x using the chain rule:

d/dx [√x√y] = d/dx [12]

Using the chain rule on the left-hand side, we get:

(1/2)(y/x^(3/2)) dx/dx + (1/2)(x/y^(1/2)) dy/dx = 0

Simplifying this expression gives:

y/x^(3/2) dx/dx + x/y^(3/2) dy/dx = 0

Since we are asked to find y'(9), we can substitute x = 9 and y = 81 into this equation:

y/9^(3/2) dx/dx + 9/y^(3/2) dy/dx = 0

Simplifying this expression further by substituting √y = 12/√x, which follows from the original equation, gives:

y/27 dx/dx + 9/(4x) dy/dx = 0

We are given that y(9) = 81, which means x√y = √(xy) = 36, since √x√y = 12. Therefore, xy = 36^2 = 1296.

Differentiating this equation with respect to x using the product rule gives:

x dy/dx + y dx/dx = 0

Solving for dy/dx, we get:

dy/dx = -y/x

Substituting this into the expression for dy/dx in terms of x and y above, we get:

y/27 dx/dx + 9/(4x) (-y/x) = 0

Simplifying this equation gives:

y' = (-3/4) y/x

Substituting x = 9 and y = 81 gives:

y'(9) = (-3/4) (81/9) = -6.75

Therefore, y'(9) = -6.75.

To know more about differentiation refer here:

https://brainly.com/question/31495179

#SPJ11

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Answer:

first answer is 3×12=36

5×15=75

Answer:

Download the App "Photo Math"

Step-by-step explanation:

it will help you to solve all of your math problems.

Answer:

  (A)  3(x +5) +(5x +15) +7x = 180

  (B)  x = 10

  (C)  A = 45°, B = 65°, C = 70°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  m∠A +m∠B +m∠C = 180°

  3(x +5) +(5x +15) +7x = 180 . . . . . substitute given expressions

__

  15x +30 = 180 . . . . . . . . . . . . . simplify

  15x = 150 . . . . . . . . . . . . . . subtract 30

  x = 10 . . . . . . . . . . . . . . divide by 15

__

The angle measures are found from the given expressions:

  m∠A = 3(x +5) = 3(10 +5) = 45

  m∠B = 5x +15 = 5(10) +15 = 65

  m∠C = 7x = 7(10) = 70

m∠A = 45°, m∠B = 65°, m∠C = 70°

Answer: 42

Step-by-step explanation:

7 * 90/15 = 42

Answer:

Actual distance is 4500 cm (45 m).

Step-by-step explanation:

A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.

scale = \(\frac{distance on map}{actual distance}\)

It is in the form of a ratio.

From the question, Distance on map = 4.5 cm,

scale = 1 : 1000

        = \(\frac{1}{1000}\)

scale = \(\frac{distance on map}{actual distance}\)

Let the actual distance be represented by d.

So that,

\(\frac{1}{1000}\) = \(\frac{4.5}{d}\)

⇒  d = 4.5 x 1000

       = 4500

    d = 4500

The actual distance is 4500 cm (45 m).

Let x be the number of pepperoni pizzas you must order and y be the number of cheese pizzas.

Then, we have the following system:

I) x + y = 34

II) 4x + 3y = 120

First, we multiply equation I by 3:

I) 3x + 3y = 102

II) 4x + 3y = 120

Now, we subtract equation I from equation II:

(4x - 3x) + (3y - 3y) = 120 - 102

x = 18

Then, y = 34 - 18 = 16

You must order 18 persona-size pepperoni pizzas and 16 personal-size cheese pizzas.

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Answer:

18

Step-by-step explanation:

Using BODMAS

we solve the bracket first

(7–4)= 3

which when imputed into the equation gives us;

3³ ÷ 3 × 2

the cube root of 3= 27

27 ÷ 3 × 2

next we divide 27 by 3

= 9

Leaving us with

9 × 2

= 18

Answer:

18

Step-by-step explanation:

p- parentheses when you are taking care of any problem you want to take care of what inside of the house

e- exponents are quite simple as well but every time other come across it our brains start to scramble plus the only you have it the 3 so when you see it just think 3*3*3 and you get your answer

m/d- the only ones you have here

Answer:

D

Step-by-step explanation:

Given :

Solving :

Hence :

Answer:

D. \(\huge 2x^2y\sqrt[5]{7xy^3}\)

Step-by-step explanation:

Based on the sides of LMN and OPQ, the congruence postulate that applies is B. Congruent - SSS.

It is used when the two triangles given have three equal corresponding sides which also have equal angles.

All three sides of LMN and OPQ are equal sides and have equal angles and so the SSS rule applies.

Find out more on the SSS rule at https://brainly.com/question/20295863.

#SPJ1

It will take 5.625 hours for both Darryl and Valerie to paint the room if they work together .

In the question ,

it is given that ,

Darryl can paint the room in 9 hours .

So , in 1 hour Darryl can paint 1/9 of the room .

Valerie can paint the room in 15 hours .

So , in 1 hour Valerie can paint 1/15 of the room .

So , the time taken to paint the room together can be calculated using ,

1/t = 1/9 + 1/15

1/t = 5/45 + 3/45

1/t = 8/45

Simplifying further ,

we get ,

t = 45/8

t = 5.625

Therefore , the time taken will be 5.625 hours .

Learn more about Algebra here

https://brainly.com/question/26957806

#SPJ4

Answer:

61°

this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle

Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°

<2 is also equal to 61° by the interior angles theorem

Step-by-step explanation:

Answer: i would say 30 + 20 - 10 - 20 - 0

sorry if i am wrong

Step-by-step explanation:

Answer:

c + 301 = 270

Step-by-step explanation:

c = -31

Answer:

B.) √3/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For questions like this I recommend memorizing the Unit Circle, but for the sake of calculations here's how I do it using a calculator

cos(30) = 0.866025.....

So now I'll just go through the answers and see which is equivalent

A= 1.73...

B= 0.866025....

C=0.57735....

D=0.5

E=0.7071.....

F=1

You can see that B is equivalent.

Solution:

If we graph the following lines, on the same plane

Y= x+4

Y= - 2x-2

we obtain:

According to the above image, we can see that both lines intersect at the point (x, y) = (-2, 2)

So that, we can conclude that the solution of the given system of linear equation is:

(x, y) = (-2,2)

Answer:

Answer: 148555559.46

Step-by-step explanation:

42,444,445.56 x 3 =127333336.68

42,444,445.56 divided by two is 21222222.78

127333336.68 + 21222222.78 = 148555559.46

Answer:

(1,0)

What is a dilation?

A dilation is a change in shape that is not a rigid transformation.

An Expansion dilation is always going to be bigger than 1

A contraction dilation is always going to be smaller than 1, in a fraction form smaller than the denominator

I hope this helped :)

Answer:

B. (1, 0)

Step-by-step explanation:

Look at side AC. The coordinates of point C are (2, 0).

Point A is the origin, (0, 0).

With a dilation of 1/2 about point A, all coordinates are multiplied by the dilation factor, 1/2.

The x-coordinate of point C, 2, becomes 2 × 1/2 = 1

The y-coordinate of point C, 0, becomes 2 × 0 = 0

The coordinates of point C' are (1, 0).

Answer: B. (1, 0)

Answer:

75-82,            in Exercises 75-82, find the average rate of change of the function from x1 to x2. function f(x) = 3x +8 x-values x1=0, x2=3

Answer:

a^3-1-a^2+a

(a-1) (a^2+a+1)-a(a-1)

(a-1) (a^2+a+1-a)

(a-1) (a^2+1)

2nd exp

2a^3-2-a^2+a

2(a^3-1)(a^2+1)

2(a-1)(a^2+a+1)-a(a-1)

2(a-1)(a^2+a+1-a)

2(a-1)(a^2+1)

Answer:

      Alan's earnings   = $296

Shannon's earnings   = $ 444

Step-by-step explanation:

For every $4 Alan earns Shannon earns $6.

So, the ratio of earnings of Alan : Shannon = 4 : 6

Alan's earning = 4x

Shannon's earning = 6x

Total earnings = $ 740

Equation:

          4x + 6x  = 740

                   10x = 740

                       x = 740/10

                       x = 74

      Alan's earnings = 4 *74 = $296

Shannon's earnings = 6*74 = $ 444