As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.

Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points

If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.

The second percentage increase in price is 300%.

Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.

Let's assume that the price of an item is $100.

This year prices are 6 times the original price. This means that prices are $600 ($100 x6).

Increase in prices after the 50% increase = (1.5 x 100) = $150.

Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%

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Answer:

300%

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

Answer:

-36/56

Step-by-step explanation:

Answer:

Celine can fill 20 stars i believe

Step-by-step explanation:

(48-8)÷2=20

The number of star-shaped molds that Celine can fill will be 20.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.

⇒ (48 - 8) ÷ 2

⇒ 40 / 2

⇒ 20

Then the number of star-shaped molds that Celine can fill will be 20.

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Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Answer:

A = 2.42 sq. meters

Step-by-step explanation:

13 feet = 13 × 0.305 = 3.965 meter

2 feet = 2 × 0.305 = 0.61 meter

A = lw

A = (3.965) × (0.61)

A = 2.41865 sq. meters

A = 2.42 sq. meters

Answer:

The Y intercept is -10

The X intercept is 3

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

Answer:

16.2p (If lemonade is .75p, if not substitute in the equation below)

Step-by-step explanation:

In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.

I am assuming 75p is meant to be .75p

So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05

We need 16 so: 4.05 x 4 = 16.2

Answer:

M = 11

Step-by-step explanation:

Answer:

The answer is option D

Step-by-step explanation:

f (n)=-2. (-5)^n-1. Jesus loves you

Answer:

(0,7/6)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Answer:

Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.

Step-by-step explanation:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).

Answer:

2.5 hours

Step-by-step explanation:

time = distance / speed

t = 80 / 32

t = 2.5 hours

Answer:

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

or

or

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)

y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v

bc is soooo coool the other one lol

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

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The cost of the blue balloon is  ₹728.

let

the price of the yellow balloon = x

cost of the blue balloon  = 4x

Total amount spent = ₹ 910

Therefore,

4x + x  = 910

5x = 910

divide both sides by 5

5x / 5 = 910 / 5

x = 182

cost of the blue balloon  = 4x = 4(182) =  ₹728

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Answer:

13, 14, 15 right?

Step-by-step explanation:

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

[tex]7.1 < t < 7.7[/tex]

[tex]a < x < b[/tex]

In this problem:

Then, the inequality is:

[tex]7.1 < t < 7.7[/tex]

A similar problem is given at https://brainly.com/question/24528399

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

Answer:

75%

Step-by-step explanation: