A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answer:

3x

Step-by-step explanation:

What you know

This is an equilateral triangle

the x's are all the same

you could write x + x + x = 3x = 16

Multiplying is just adding repeatedly

Answer:16 = 3x

Step-by-step explanation:

Perimeter = Sides surrounding a figure

The triangle has 3 sides, each named "x".

Thus, because the perimeter is equivalent to 16 inches, 3x = 16.

Answer:

The volume of prism A is the same as the volume of prism B.

Step-by-step explanation:

Given

See attachment for prisms

Required

Compare the volume of both

First, we calculate the volume of both prisms.

Prism A is a rectangular prism.

So, its volume is:

[tex]V_A = Length * Base * Height[/tex]

Where

[tex]Length \to a[/tex]

[tex]Base \to b[/tex]

[tex]Height \to h[/tex]

So:

[tex]V_A = abh[/tex]

For Prism B, we have:

[tex]Volume = Base\ Area * Height[/tex]

Where

[tex]Base\ Area = Length * Base[/tex]

and

[tex]Length = a[/tex]

[tex]Base = b[/tex]

So:

[tex]Base\ Area = a * b[/tex]

[tex]Base\ Area = a b[/tex]

The volume is then calculated as:

[tex]Volume = Base\ Area * Height[/tex]

[tex]V_B = ab * Height[/tex]

Where

[tex]Height \to h[/tex]

So:

[tex]V_B = ab * h[/tex]

[tex]V_B = abh[/tex]

By comparison:

[tex]V_A = V_B = abh[/tex]

Answer: 158.26cm³

Step-by-step explanation:

First, we.need to calculate the volume of the cylinder and this will be:

Volume = πr²h

Volume = 3.14 × 3² × 8

Volume = 3.14 × 9 × 8

Volume = 226.08cm³

Since the jar is 70% full, the volume will be:

= 70% × 226.08cm³

= 0.7 × 226.08cm³

= 158.26cm³

Note:

Radius = Diameter/2 = 6cm/2 = 3cm

Answer:

40%

Step-by-step explanation:

mark branliest

Answer:

Step-by-step explanation:

3). Adjacent

B). Cosine

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

Answer: 1/1000

Step-by-step explanation:

1 * 10^-3 = 1 * 1/10^3 = 1/1000

Answer:

NaN  -12

Step-by-step explanation:

Respuesta:

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 10.062 pesos

Explicación paso a paso:

Costo inicial de televisión = 15,480 pesos

Porcentaje de descuento = 35%

Cantidad descontada = 35% de 15,480

Cantidad descontada = 0.35 * 15,480

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 15.480 - 5.418

Nuevo precio de la televisión = 10.062 pesos

Step-by-step explanation:

it's a 1/4 sjjsjsjsjsjsj

D is the answer.

Step-by-step explanation:

9 + 6 + 5 = 20

5/20 = 25%

I hope this helps, have a good day!

Answer:

261 cm²

Step-by-step explanation:

To find the surface area of a square pyramid, you must first recognize all of the shapes.

There are four triangles and one square.

The triangles have a base of 9 and a height of 10.

[tex]9*10=90[/tex]

Multiply the product by 1/2.

[tex]90*1/2 = 45[/tex]

There are four triangles.

[tex]45*4=180[/tex]

The area of all three triangles is 180 centimeters; the area of a single triangle is 45 centimeters.

There square has sides of 9 centimeters.

[tex]9*9=81[/tex]

The area of the square is 81 centimeters.

Lastly, we add the areas of the shapes.

[tex]45+45+45+45+81 = 261.[/tex]

Therefore, the surface area of this square prism is 261 cm².

You can use this layout to find the surface area of a square pyramid.

Answer:

w= 8

Step-by-step explanation:

180-90= 90

(5w + 1) + (7w- 7) = 90

solve

w= 8

Answer:

A

Step-by-step explanation:

Answer:

[tex]A. \ \ 1.3527 \times10^6[/tex]

Step-by-step explanation:

Answer:

14x - 9x = 5x

Step-by-step explanation:

8x + 6 = 14x

6x + 3 = 9x

Answer:

(6, 0 )

Step-by-step explanation:

A translation to the left means subtract 2 from the x- coordinate

A translation down means subtract 4 from the y- coordinate

Then

(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )

Answer:

<RSQ and <WVX

Step-by-step explanation:

suplementary angles are 2 angles who's measures add to 180

Answer:

[tex]a) 3.6011*10^4 \ \\ b) 8.289786223^-11[/tex]

Step-by-step explanation:

Well, I hope it helps you heh

Answer:

A

Step-by-step explanation:

Multiply [tex]\frac{x}{\sqrt{2} }[/tex] by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] and you would get [tex]\frac{x\sqrt{2} }{2}[/tex] because [tex](\sqrt{2 } )^{2} =2[/tex]

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

Learn more about motion in stream here:

https://brainly.com/question/14297576

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

It is weak

Step-by-step explanation:

It is weak, so that means the answer is C. It is weak because it is

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

Answer and Step-by-step explanation:

This triangle is a right triangle.

- Acute angles are angles that have a degree that is less than 90 degrees.

- Obtuse angles are angles that have a degree that is more than 90 degrees.

- Right angles are angles that are 90 degrees.

It has 1 angle that is 90 degrees, so it is a right triangle.

#teamtrees #PAW (Plant And Water)

Answer:

Vertical

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

128

Step-by-step explanation:

they are parralel

Answer:

the answer is 128 they are parallel

Step-by-step explanation:

Given :-

And we need to solve the equation using Substituting method . So on taking the first equation ,

[tex]\rm\implies x + 3y = 3 \\\\\rm\implies x = 3 - 3y [/tex]

Put this value in (ii) :-

[tex]\rm\implies 3y - 2x = 12 \\\\\rm\implies 3y - 2(3-3y)=12\\\\\rm\implies 3y -6-6y = 12 \\\\\rm\implies -3y = 18 \\\\\rm\implies y = -6 [/tex]

Put this Value in (I) :-

[tex]\\\\\rm\implies x = 3-3*-6 \\\\\rm\implies x = 3+18 \\\\\rm\implies x = 21 [/tex]

Hence the Value of x is 21 and y is (-6) .

Answer:

x = -3

y = 2

Step-by-step explanation:

Ok this is a long one but bear with me lol, i promise i will make it easy to understand, performing one step at a time.

So we are given 2 equations right? We can take any of these one equation and isolate any one variable, either x or y, I will take the first equation and isolate x from it cuz it's the easiest way;

=> x + 3y = 3

=> x = -3y + 3 (Let's pretend this is not an equation for x but a "value")

Now that we have the x isolated from first equation, we can substitute x "value" in for the x in second equation. To solve for y;

=> 3y - 2 (-3y + 3) = 12

=> 3y + 6y - 6 = 12

=> 9y - 6 = 12

=> 9y = 12 + 6

=> 9y = 18

=> y = 18/9

=> y = 2

At this point we are almost done with the question! So since we got a real value for one of our variable (which in this case is y-value), we can substitute that in any of the given equation, We can also use the equation where in we isolated "x", so I'll use that cuz it's gonna require less steps, to find the real x-value:

=> The equation we found out up there is: x = -3y + 3

=> Now just simply substitute the y-value we figured in the equation above:

=> x = -3y + 3

=> x = -3(2) + 3

=> x = -6 + 3

=> x = -3

Ayee we did it lol so the final answer would be:

x = -3

y = 2

I really hope this made sense, and that it helps!

Answer:

7/8.

Step-by-step explanation:

What you need to do, is that you need to add 2/4 to 3/8. And then you get, 7/8!

Answer: 7/8

Step-by-step explanation: