the probability of rolling a 6 on a biased dice is 1/5 1) complete the tree diagram. 2) Work out the probability of rolling two sixes.

The Probability Of Rolling A 6 On A Biased Dice Is 1/5 1) Complete The Tree Diagram. 2) Work Out The

Answers

Answer 1

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

Answer 2

1) The completed tree diagram is attached

2) The probability of rolling two sixes as worked out from the tree diagram is; P(6 | 6) = ¹/₂₅

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll;

P(6) = ¹/₅

P(not 6) = ⁴/₅

Second Roll;

Let's begin with the P(6) Section;

P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

P(6 | not 6) = ¹/₅ × ⁴/₅ = ⁴/₂₅

Let us now solve for the P(not 6) section;

P(not 6 | 6) = ⁴/₅ × ¹/₅ = ⁴/₂₅

P(not 6 | not 6) = ⁴/₅ × ⁴/₅ = ¹⁶/₂₅

Now, since we are looking for the probability of getting two sixes, it is gotten from the above; P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

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The Probability Of Rolling A 6 On A Biased Dice Is 1/5 1) Complete The Tree Diagram. 2) Work Out The

Related Questions

this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters

Answers

Answer:

The perimeter of the actual playground is 22000 units

Step-by-step explanation:

By measurement, the width of the scale drawing = 16 units

The breadth of the scale drawing = 6 units

Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;

Actual width of the playground = 500×16 = 8,000 units

Actual breadth of the playground = 500×6 = 3,000 units

Therefore;

The perimeter of the actual playground = 2 × 8000 + 2 ×3000 =  22000 units.

Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation

Answers

Answer:

The correct option is;

A. 90 degrees clockwise rotation

Step-by-step explanation:

From the given information, we have;

The coordinates of the pre-image is K(-6, 9)

The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)

The transformation from (x, y) to (y, -x) can be obtained from either;

1) A rotation of 90° (clock wise)

2) A rotation of 270° counter clockwise

Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.

Answer: The person above me is correct!  A. 90 degrees clockwise rotation

Step-by-step explanation:

(-3)(-2)[-4-(-2)]
Slove the problem

Answers

Answer:

-12

Step-by-step explanation:

(-3)(-2)[-4-(-2)]

6[-4-(-2)]

6[-2]

-12

Please answer my question now in two minutes

Answers

Answer:

lines MP and NO are parallel

Step-by-step explanation:

they will never intersect

Answer:

mp and no are the parallel sides

Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63

Answers

Answer:

  $52.46

Step-by-step explanation:

We are told that ...

  8.75% · purchase = $4.59

Dividing by the percentage, we have ...

  purchase = $4.59/0.0875 = $52.46

Yasmin's pre-tax total was $52.46.

Answer:

the correct answer is b aka 52.46

PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

The formula the amusement parc use is  100y-39000=55(x-800)

The slope intercept form of a function is wriiten generally as:

y = mx+c

m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the function

Let's rewrite our equation in the precedent form

100y-39000 = 55(x-800)100y -39000 = 55x-44000    add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000            divide both sides by 100y = 0.55x-50

The slope intercept form of this equation is:

y= 0.55x-50

Answer:

y=55x+38992

Explanation:

You have to turn the equation into the form y=mx+b

Step 1: Get y by itself(divide both sides by 100)

100y-39,000=55(x-800)

100/100y-39,000=55(x-800)/100

y-39,000=55(x-800)/100

Step 2: Get y by itself(+ 39000 to both sides)

y-39,000=55(x-800)/100

 +39,000=55x-800/100+39,000

y=55x-800/100=39,000

Step 3: Simplify

y=55x+38992

Find the 13th term 4, -16, 64,

Answers

Answer:

The 13th term is 67,108,864

Step-by-step explanation:

The term goes up by -4 so you times each number by -4 until you have reached the 13th term. for example 64*-4 is the 4th term, whatever you got for 64*-4 you times by -4 until you have reached the 13th sequence :)

Please help me I will mark BRAINLIST :))))

Answers

Answer:

47%

Step-by-step explanation:

The total number of student is 4+6+2+2+3+4+6+3 = 30 students

P( male) = male / total

              = (4+6+2+2)/ total

               =14/30

                =.466666666

                46.66666%

To the nearest whole percent

                 47%

de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?

Answers

Answer:

a. 800 litros

b. 500 litros

Step-by-step explanation:

Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.

Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.

La fracción utilizada para cocinar es 5/6 * 3/4 ​​= 15/24 = 5/8

Y todavía nos quedan 100 litros.

La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8

Entonces la fracción no utilizada = 1-7 / 8 = 1/8

Ahora, es este 1/8 que corresponde a 100 litros.

Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros

La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros

HELP PLZZZZZZZZZ!!!!!!!

Answers

the answer is D, DE=CE

Pleas answer this question now fast in two minutes

Answers

Answer:

3

Step-by-step explanation:

Adjacent angles have a common side and no common interior points.

Given ∠R ≅ ∠T and ∠E ≅ ∠A, what other information is needed to prove ΔRED ≅ ΔTAN by AAS? a RE ≅ TA b RD ≅ TN c ∠D ≅ ∠N d None of these choices are correct.

Answers

Answer:

d None of these choices are correct.

Step-by-step explanation:

In ΔRED and ΔTAN

∠R ≅ ∠T... (given)

∠E ≅ ∠A... (given)

ED ≅ AN... (required)

Therefore, ED ≅ AN is needed to prove ΔRED ≅ ΔTAN by AAS Postulate.

Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)

Answers

Answer:

0.0471

Step-by-step explanation:

Here, we want to find the area of the shaded region.

The area of the shade region = 1- area of the unshaded region

The area of the unshaded region is as follows;

P(b) - P(a)

and that is;

P(-1.88<x<2.12) = 0.95294 from z table

So the area of the shaded region = 1-0.95294 =

0.04706 = 0.0471 to 4 d.p

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be

Answers

Answer:

7 red marbles

Step-by-step explanation:

P( red) = red marbles / total marbles = 1/8

We know there are 56 marbles

red marbles/56 = 1/8

Multiply by 56

red marbles = 1/8 *56 = 7

There are 7 red marbles

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

Answers

Answer:Y=9

Step-by-step explanation:

Answer:

Y=9

Step-by-step explanation:

Took the test and got 100%.

A rectangle on a coordinate plane has vertices at (7,5),(-7,5),(-7,-2),and (7,-2) what is the perimeter of the rectangle?

Answers

Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

MARK AS BRAINLIEST

I will make you a brainllest :) plz

Answers

Answer:

38

Step-by-step explanation:

RST = RSQ + QST

70 = 3x-10 + 2x

Combine like terms

70 = 5x-10

Add 10 to each side

70 + 10 = 5x-10+10

80 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

Now find QSR

QSR = 3x-10

       3*16 - 10

      48-10

     38

please fill in the final row (x)

Answers

Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

Answer:

x=11

Step-by-step explanation:

12+8+7+3+9=39

50-39= 11

I NEED HELP PLEASE! THANKS :)

Answers

Answer:

A

Step-by-step explanation:

First, let's do the difference of two squares:

[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]

Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)

Thus, we can substitute:

[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]

Now, and I'm serious, you just have to use your creativity. After a while, you will find that:

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

So:

[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]

Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]

Now, we can substitute:

[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]

FIND THE AREA AND PERIMETER PLEASE ​

Answers

Answer:

Area = 70    Perimeter = 50

Step-by-step explanation:

I will begin with area.  I can find the area of each figure, then add the areas.

3 • 18 = 54

4 • 4 = 16

Area = 70

For perimeter, I will add the given lengths.

3 + 18 + 7 + 4 + 4 + 14

Perimeter = 50

Answer:

Area: 70cm

Perimeter: 50cm

Step-by-step explanation:

The shape can be separated into 2 shapes to calculate the area, a rectangle and a square. The rectangle can be measured 18cm * 3cm and the square can be 4cm * 4cm. The rectangle's area is 54cm and the square is 16cm. Add both to find the area. 54+16= 70. To find the perimeter you just add all the sides together. 3+18+7+4+4+14= 50.

what is;
3x + 5x+(3+2)​

Answers

Answer:

8x + 5

Step-by-step explanation:

3x + 5x+(3+2)​

Combine like terms

8x + 5

Answer:

8x+5

Step-by-step explanation:

This is a expanded expression so all you have to do is simplify.

Combine like terms:

3x + 5x = 8x

3+2=5

Therefore your answer is 8x+5

Hope this helps!

Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?

Answers

Answer:

143.6F

Step-by-step explanation:

Entonces la ecuación establecida es;

C = [tex]\frac{5F-160}{9}[/tex]

Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.

[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]

∴[tex]F = \frac{-160-9C}{-5}[/tex]

Ahora ingresamos los valores y resolvemos para F

F = [tex]\frac{-160 - 9(62)}{-5}[/tex]

  =[tex]\frac{-160-558}{-5}[/tex]

  = [tex]\frac{-718}{-5}[/tex]

  = 143.6

∴ 62C = 143.6F

To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step

Answers

Answer:

6x to find x on it's own you need to divide by the number infront,

Step-by-step explanation:

Keith divides both side of the equation by 6 in order to make x the subject of the equation. The opposite of multiplication is division

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

Answers

Answer:

The answer is explained below

Step-by-step explanation:

The location of point A = (-5, -1) and point B = (4, 1).

To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula for the x and y coordinates:

[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:

[tex]x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}[/tex]

Therefore the coordinate of P is (-11/4, -1/2)

Answer:

the coordinate of P is (-11/4, -1/2)

x= -11/4

y= -1/2

c on edu

Step-by-step explanation:

edu 2021

The hamster had a wheel to run on, but Claire wondered how many lines of symmetry the wheel had. What is the approximate number of lines of symmetry on the hamster's wheel? A. 0 B. 2 C. 4 D. infinite number

Answers

Answer:

D - Infinite

Step-by-step explanation:

A Wheel is a circle and if we look at a circle's structure, we see it is always symmetric as long as it is divided from the center in any direction.

PLEASE MARK AS BRAINLIEST

Answer:

d

Step-by-step explanation:

have a good day

Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?

Answers

Answer:

Hey there!

Let x be the price he paid for.

2x-8=34

2x=42

x=21

He bought the stock for 21 dollars.

Hope this helps :)

Answer:

The price per share  when he bought it was 21

Step-by-step explanation:

Let x = price he paid for the stock

34 = 2x-8

Add 8 to each side

34+8 = 2x-8 +8

42 = 2x

Divide by 2

42/2 = 2x/2

21 = x

The price per share  when he bought it was 21

how to find the angel in trigonometry when all the lengths of the right angled triangle already given.

Answers

Answer:

The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle

Use rule ; SOHCAHTOA .Where sin x = opp/hyp

cos x = adj/hyp

tan x= opp/adj

Substitute the given values for the three sides

into any of the above rules

[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]

Step-by-step explanation:

I Hope It Helps :)

For which quadratic equation is the axis of symmetry x = 3

a. y = -x2 + 3x + 5
b. y = -x2 + 6x + 2
c. y = x2 + 6x + 3
d. y = x2 + x + 3​

Answers

Answer:

b) y = -x2 + 6x + 2

Step-by-step explanation:

Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER

Answers

The proofing is as follows:

Given that,

|LO|=|MN| and |LM|=|ON|

It means that  Opposite sides of a parallelogram are equa

Now, LN⊥OM

So,

∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)

LPO ≅ ∠NPO (by definition of congruent angles)

|LP|=|PN| (diagonals of a parallelogram bisect each other)

based on this LMNO is a rhombus

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Answer:

All right angles are congruent

Reflexive property

Opposite sides of a parallelogram are congruent

Step-by-step explanation:

That what i got on my assignment

assume that y varies inversely with x. if y = 8 when x = 1.55, find x when y = -0.62

Answers

Answer:

y varies inversely with x is written as

y = k /x

where k is the constant of variation

y = 8 x = 1.55

8 = k / 1.55

Multiply through by 1.55

k = 12.4

The formula is

y = 12.4 / x

when y = - 0.62

- 0.62 = 12.4/x

- 0.62x = 12.4

Divide both sides by - 0.62

x = 12.4/-0.62

x = - 20

When y = - 0.62 x = - 20

Hope this helps

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