a box contains 44table tennis balls having same shape and size.Among them 33 are black and remaining balls are red .two balls are drawn randomly one after another without replacement show the probability of all posible outcomes in a tree diagram.

Answers

Answer 1

Answer:

The probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.

Step-by-step explanation:

Given that a box contains 44 table tennis balls having the same shape and size, and among them 33 are black and remaining balls are red, if two balls are drawn randomly one after another without replacement, to show the probability of all possible outcomes the following calculations must be done:

Red + red:

11/44 + 10/43 = 0.25 x 0.2325 = 0.0581

Red + black:

11/44 + 33/43 = 0.25 x 0.7674 = 0.1918

Black + red:

33/44 + 11/43 = 0.75 x 0.2558 = 0.1918

Black + black:

33/44 + 32/43 = 0.75 x 0.7441 = 0.5581

19.18 x 2 = 38.36

Therefore, the probability that both balls are red is 5.81%, that one is red and one black is 38.36%, and that both are black 55.81%.


Related Questions

Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?

Answers

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150

Solve (3^p times 81 = 9) for p

Answers

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]

which of the following mean the same as x-intercept?

Answers

Answer:

(A), (D), and (E)

Step-by-step explanation:

In a quadratic function, the solutions are always on the x-axis, which means that it can be another word for x-intercept. Also, a zero and a root are the same thing, and they are both x-intercepts. Hope this helps!

In order for Tim to simplify the expression below, what step will he need to use for each variable's exponent? 6 x y^2 z^4 2 x^2 y^5 z A Divide the exponents B Multiply the exponents C Add the exponents D Subtract the exponents

Answers

Answer:

C. Add the exponents

Step-by-step explanation:

The given expression is presented as follows;

6·x·y²·z⁴·2·x²·y⁵·z

The expression can be rearranged by according to like terms as follows;

6·2·x·x²·y²·y⁵·z⁴·z = 3·2·2·x·x²·y²·y⁵·z⁴·z

By the law of indices, we add the exponents of the like terms to simplify the expression as follows;

3·2·2·x·x²·y²·y⁵·z⁴·z = 3·2⁽¹⁺¹⁾·x⁽²⁺¹⁾·y⁽⁵⁺²⁾·z⁽⁴⁺¹⁾ = 3·2²·x³·y⁷·z⁵

In order to simplify the expression the step Tim needs to use for each variable's exponent is to add the exponents.

Two more than the quotient of a number and 5 is equal to 8

Answers

Answer:

30

Step-by-step explanation:

We can start by writing an equation:

2 + x / 5 = 8

We are adding 2 since we are asking for two more than the quotient, and it is set equal to 8 as given by the problem.

We can subtract 2 from both sides to isolate the x term:

2 + x / 5 = 8

-2             -2

x / 5 = 6

Now, we can multiply by 5 to cancel out the division by 5:

x / 5 = 6

* 5        * 5

x = 30

So, the number is 30.

The requried number is 30, and the equation model is x/5 + 2 = 8.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
In the question, we have given a statement, and using that we have to model an equation,
To model an equation 1 step is to assign a variable.

So let the number be x.
According to the quesiton,
Two is more than the quotient of a number and 5 is equal to 8
x/5 + 2 = 8
x/5 = 8 - 2
x /5 = 6
x = 5 × 6
x = 30

Thus, the requried number is 30, and the equation model is x/5 + 2 = 8.

Learn more about models here:
https://brainly.com/question/29216499
#SPJ2


PLZ HELP IF RIGHT THEN I WILL GIVE BRAINLY!!!!

Answers

Answer:

Step-by-step explanation:

p=56.6

Answer:

56.6ft

Step-by-step explanation:

i added all the sides together hope it is correct

100 points and its ez just in class and need help

Answers

Answer:

Slope: 3, Y-intercept: 8

Step-by-step explanation:

=> Slope: Change in y / Change in x

Change in y = +6

Change in x = +2

Slope = 6 / 2

Slope = 3

=> A value of y in the data set where x = 0

Y-intercept: 8

Hope this helps!

Answer:

you can mark jadedmulan as brainliest.  

Please help :( ill give brainlest

Answers

Answer:

I think for this one it is D.

Step-by-step explanation:

area of isosces triangle formula

Answers

Answer:

area = height x Base/2

Step-by-step explanation:

Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

Answers

Answer:

y = 45/x

Step-by-step explanation:

Here, we want to write an inverse relationship

for an inverse relationship, the product of both variables will be equal to the constant term

Let us have the constant term as k

Thus, we have it that;

xy = k

9 * 5 = k

k = 45

So the inverse function is;

xy = 45

or y = 45/x

if y is a function of x, we can have it as;

f(x) = 45/x

he graph below shows the results of a middle school election for president of the student body.


How many 6th, 7th, and 8th graders voted for Jose?
A.
320
B.
410
C.
420
D.
370

Answers

Answer:

Step-by-step explanation:

please answer thissssssssssssssssssssssss

Answers

Answer:

C

Step-by-step explanation:

SA= 2lw+2lh+2wh

Answer:b

Step-by-step explanation:

Rezolvați în mulțimea numerelor reale ecuația:

x+15−2x−12=x10

DAU COROANA!

Answers

-x10−x+3=0

x≈−1.1530188,1.06806865

Stacey earns $15 each week plus $.50 for each customer on her paper route.she wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25?

Answers

Answer:

15 + .5x = 25

Step-by-step explanation:

.5x = 10

x = 20

Solve equation
0=-2x+4

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

y = 5х + 9
у = 3х - 2
how many solutions does this equation have ?

Answers

Answer:

One

Step-by-step explanation:

THe two equations have different slopes so they will intersect at one point.

What is the solution to the system of equation? Write the x-value or x-coordinate.

7x+2y=24
8x+2y=30

What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.

Answers

Answer:

X = 6, y=-9

Step-by-step explanation:

7x + 2y =24 equation 1

8x + 2y=30 equation 2

-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y

-7x-2y=-24 equation 1 multiplied by -1

8x+2y=30 equation 2

x+0=6 add above 2 equations

x=6

solve for y

7x + 2y=24

7(6) + 2y=24

42 + 2y =24

2y=-18

y=-9

check answers

8x + 2y=30

8(6) + 2(-9)=30

48-18=30

30=30

7x + 2y = 24

7(6)+2(-9)=24

42-18=24

24=24

If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.

Answers

Answer:

x=20

Step-by-step explanation:

x=20 i think that’s what it is

A 2.18 x 10-8 F capacitor has plates
separated by 3.89 x 10-8 m. What is
the area of the plates?

Answers

Answer:

9.58 *10^-5

Step-by-step explanation:

Acellus

The cost to rent a bicycle is $5.00 plus $3.00 per hour for x hours. What equation
represents the total cost, C, for x hours? *
1. C = 5x + 3
2.C = x(5 + 3)
3.C = 5 + 3x
4.C = 5x + 3x

Answers

Answer:

3

Step-by-step explanation:

hope this helps with the problem

Answer:

C = 5+3x

Step-by-step explanation:

if its 3.00 per hour for x hours, you have to multiply 3 by x hours.

What is the radius of a sphere with a volume of 90581 In3, to the nearest tenth of an
inch?

Answers

Answer:

27.9

Step-by-step explanation:

Which expression is equivalent to 9(9m + 3t) ?

81m + 3t
81, m, + 3, t

81m + 27t
81, m , + 27, t

18m + 3t
18, m, + 3, t

18m + 12t

Answers

the answer is 81m + 27t

1. Find the area of parallelogram ABCD.

Round to the nearest tenth.

A 55.4 m2

C 69.3 m2

B 60 m2

D 80 m2

2. The area of the parallelogram DEFG is 143 square units.

Find the height. Round to the nearest tenth if necessary.

Fll units

H 22 units

G 14.3 units

J 44 units

3. The base of a triangle is three times its height.

If the area of a triangle is 54 square inches, find its height.

A 18 in.

C3 in.

B 6 in.

DI in.

4. Find the area of quadrilateral PQRS.

F 34.1 units

G 65 units?

H 130 units?

J 360 units

Answers

Answer:

1: C =69.3 m2

2: F = ll units

3. C:  3 in.

4. G =65 units

Step-by-step explanation:

1: C =69.3 m2

We see from the figure that height of the parallelogram ABCD is not known and the base is 10 m

Taking the right angled triangle the height is given by

Sine theta= height/hypotenuse

height = hypotenuse* sine theta

         = 8* sine 60

         = 8* 0.866= 6.928

Area of parallelogram= base * height

                   = 10 * 6.928

                   = 69.28

                  =69.3 m²

2: F = ll units

We see from the figure that height of the parallelogram DEFG is not known and the base is 13 cm

Area of parallelogram= base * height

                  143 = 13 * height

           Height = 143/13= 11 units

3. C:  3 in.

The area of the triangle = 1/2 * base * height

Let the height be x then the base is 3x

54= 1/2*x*3x

54= 3x²/2

27= 3x²

x²=27/3

x²= 9

x= 3

The height is 3 inches

4. G =65 units

Area of the quadrilateral = 1/2 *PR*QO + 1/2 *PR*OS

                                      = 1/2*13*4+ 1/2*13*6

                                        =26+ 39

                                        = 65 units

These measurements are given in the diagram .

Solve for v.

–9,45 − 6,1v = –2,8v + 13,98

Answers

Answer:

V would equal -7.1.

Step-by-step explanation:

It appears you have set the decimal points as commas. Let's remove that and replace it with decimal points. (AkA ".")

First, we move every term with "V" in this problem to the left.

-9.45 - 3.3v = 13.98

Next, we add -9.45 to 13.98 which equals 23.43.

We then make 3.3v negative.

-3.3v = 23.43

We then divide 23.43 and 3.3v by 3.3.

We cancel out 3.3v to leave 23.43/3.3.

We can now divide 23.43 by 3.3 to get -7.1.

V = -7.1

Answer:

V would equal -7.1.

Step-by-step explanation:

Carlos has $13 in his bank account and writes a check for $22. After the check has been cashed, what will the bank balance show?

Answers

Answer:

Step by step explanation:

13-22=-9

Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area

Answers

Answer:

I think not possible to do

[tex]x^{2}[/tex]+8x+7

Answers

Answer:

(x + 1)(x + 7)

Step-by-step explanation:

Assuming you require the expression factored

x² + 8x + 7

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 1 and + 7 , since

1 × 7 = 7 and 1 + 7 = 8 , then

x² + 8x + 7 = (x + 1)(x + 7) ← in factored form

Your answer would be (x+1) (x+7).

multiply 3x3yand 4x3
Here,​

Answers

Answer:

21

Step-by-step explanation:

Find the simple interest earned on $1500 at 7% p.a. for 5 years.

Answers

Answer:

simple interest = $525

total amount = $ 2025

how to simplify y14/y10

Answers

Answer:

Divide them by the same number

Step-by-step explanation:

14/2=7

10/2= 5

y7/y5

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