Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls. What is the probability that he catches 2 red balls and 1 ball of each of the other colors?

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

16.66 2/12 invert to decimal

8.33.  1/12 invert into decimal

24.99 adding them up

25/100 = 1/4 round them up then simplify if possible

Answer 2

The probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.

Given that, total number of balls=12, red number of balls =3, green number of balls=3, blue number of balls =3 and white number of balls =3.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here, C(n,r)= n!/r!(n-r)!

Now, C(12, 5)= 12!/5!(12-5)!

= 12!/5!(7)!

= (12×11×10×9×8×7!)/(5×4×3×2×1)×7!

= 3×11×2×3×4

= 792

Now, C(5, 2)= 5!/2!(5-2)!

= 5!/2!(3)!

= 10

Now, C(5, 1)= 5!/1!(5-1)!

= 5

So, he catches 2 red balls and 1 ball of each of the other colors

= 10×5×3

= 150

The probability of an event = 150/792

Therefore, the probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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Related Questions

5. A triangle has a 60° angle, a 60° angle and a side 2 centimeters in length. a Select True or False for each statement about this type of triangle.

The triangle must be an equilateral triangle.
- More than one triangle can be made with these measures.
The triangle must contain an angle measuring 75º.​

Answers

Answer:

Step-by-step explanation:

Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.

Answers

Step-by-step explanation:

I hope this will help....

Use the order of operations to find the value of the following expression 3-4(-2-4)

Answers

Answer: 27

Step-by-step explanation:

By the order of operations, we should first calculate the expression in the parentheses:

= 3 - 4 (- 6)

Next, we calculate the expression being multiplied:

= 3 + 24

Lastly, we add the two terms:

= 27

Using the given order operations to solve for the given operation, we have the answer as; 27

How to solve mathematical operations?

We are given the expression;

3 - 4(-2 - 4)

From mathematical operation acronym titled BODMAS, we need to first solve what we have in the bracket and so we get;

3 - 4(-6)

Secondly we multiply out the bracket to get;

3 + 24

We now add to get 27

Read more about Mathematical Operations at; https://brainly.com/question/16788360

elisa was going to sell all of her stamp collection to buy a videos game then she changes her mind then she bought 8 more how many did she start with if she now has 36

Answers

Answer:

24 (not sure)

Step-by-step explanation:

36 - 8 = 24

im not sure if this is what the question is asking for.

Jane ran 8 fewer miles this week than last week. This week, she ran 10 times
as far as John. John ran 3 miles. How many miles did Jane run last week?

Answers

Step-by-step explanation:

John ran 3 miles this week.

Jane ran 10 times as far as John this week :

10×3 = 30 miles

but she ran this week 8 fewer miles than last week. in other words, last week she ran 8 miles more than this week :

30 + 8 = 38 miles.

so, last week she ran 38 miles.

the number can be divided by the least common multiple of 3 and 5
the hundreds digit is 2
the sum of all three digits is 12

Answers

9514 1404 393

Answer:

  255

Step-by-step explanation:

If the sum of digits is 12, the number is divisible by 3. If the number ends in 0 or 5, it is divisible by 5. So, we're looking for ...

  2x0 . . . where x is a digit and 2+x+0 = 12 . . . . . . not possible

  2x5 . . . where x is a digit and 2+x+5 = 12 . . . . true for x=5

The number is 255.

Find the length of . Round answer to nearest tenth. PLS HELP ASAP

Answers

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =75 \end{cases}\implies s=\cfrac{(75)\pi (7)}{180}\implies s=\cfrac{35\pi }{12}\implies s\approx 9.2[/tex]

write a statement that correctly describes the relationship between these two sequences; 2,4,6,8,10 and 1,2,3,4,5

Answers

Answer: Any number in the first sequence is two times the second.

Step-by-step explanation: Mark me as brainiest!

The amount of wheat exported by Canada on average is
approximately 2.21 × 107 tons per year. The amount of
wheat exported by Mexico on average is approximately
8.5 × 105 tons per year. How many times more wheat
does Canada export per year?

Answers

The amount of wheat exported in Canada is 2.6 x 10 tons per year.

What is standard form?

Standard form is used to transform large numbers into smaller number. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: the number 1 x 10² is equivalent to 100

How many times large is the wheat exported from Canada?

2.21 x 10^7 ÷ 8.5 x 10^5 = 0.26 x 10^2 = 2.6 x 10

To learn more about standard form, please check: https://brainly.com/question/25334755

Find the distance between (7,3) and (-3,-1). Round to the nearest tenth.

Answers

Answer:

22 ok i eo

Step-by-step explanation:

ok i will explaim

A classroom board is 23 inches wide and 17 inches tall. Juan
is putting ribbon along the outside edge of the board. How
many inches of ribbon will he need?
17 inches
23 inches
40 inches B 43 inches
A
84 inches
D 80 inches

Answers

Answer:

80 inches

Step-by-step explanation:

12 x 7=34

23 x 2=46

34+46=80 inches

Can anybody solve this please?

Answers

Answer:

1/3 X 15 = 5

Step-by-step explanation: Hope this helps

The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005. What is the percent of increase? Round to the nearest tenth of a percent.

Answers

Answer:

26%

Step-by-step explanation:

Given:

The population of a city increased from 805,743 in 1995 to 1,013,751 in 2005.

Percent of Change:

Increase divide by Original times 100

Solve:

1,013,751 - 805,743  = 208,008

208,008 ÷ 805,743 × 100

= 25.8156757179

= 26%

~Lenvy~

what is the value of x?

enter your answer in the box

Answers

Answer:

2(x+10) = 3x-30          (reason: vertical angles are congruent)

2x+20 = 3x-30

20 = 1x-30

1x = 20+30

1x = 50

x = 50

The answer is fifty......

help me out pls I will mark u brainlist if u answer the question.​

Answers

Answer:

hey sorry I just need points lol

Step-by-step explanation:

really sorry but education is important, dont cheat <3

the radius of a circle is 10cm what is the circumference?

Answers

Answer:

Circumference is 62.83 cm.

Step-by-step explanation:

c = 2 * pi * r

c = 2 * pi * 10

c = 62.83 cm

i)
Find the first term of a G.P. whose fifth term is 243 and the
common ratio 3.​

Answers

Answer:

first term = 3

Step-by-step explanation:

The n th term of a GP is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here r = 3 and a₅ = 243 , thus

a₁ × [tex]3^{4}[/tex] = 243

a₁ × 81 = 243 ( divide both sides by 81 )

a₁ = 3

what is the measure of <ABC?​

Answers

Answer:

95°

Step-by-step explanation:

Given

Parallel lines AD and BC

AB is reversal therefore

∠ABC and ∠DAB are supplementary angles

As per definition, supplementary angles add up to 180°:

∠ABC + ∠DAB = 180°∠ABC + 85° = 180°∠ABC = 180° - 85° = 95°

Help help help ASAP math math

Answers

Answer:

x=-15

y= 65

Step-by-step explanation:

I explain the answer of the question in the photo

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.

R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)

Answers

Answer:

R0, 180°

(x, y) → (–x, –y)

Step-by-step explanation:

Knowing that:

The coordinates of ΔXYZ is x '(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' is x'(2, -2), Y'(-1, -1), Z'(0, -4)

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

transformation by rotation 180° about the origin.

Solve:

R0, 180°

(x, y) → (–x, –y)

~Lenvy~

Answer: R0, 180° and (x, y) → (–x, –y)

Step-by-step explanation: On Edge!!

Sara buys a bag of candy. In the bag, 1/2 of the candies are red, 1/5 are green, and the
remainder are white. What fraction of the candies are white? ANSWER ASAP???

Answers

Answer: 3/10

Step-by-step explanation: You need to make it where all of the denominators match.

1/2 = 5/10

1/5 = 2/10

5/10+2/10=7/10

7/10+3/10=10/10

What is P to 2 decimal points
P is the point marked on the circle


Will give brainliest

Answers

Answer: 0.64

Step-by-step explanation:

What happens to the area of a triangle after you translate it 2 units to the left and 1
unit up?

Answers

Answer:

nothing

Step-by-step explanation:

If you are translating entire triangle, then translating doesn't influence the area. It's just going to change where the triangle is located not its size

• A baker uses 3 tablespoon of melted butter for every kilogram of flour.
How many tablespoons of melted butter he used for 13 kilograms of
flour?
2
חח ך

Answers

Answer:

48.6 tablespoons

Step-by-step explanation:

If for every kg of flour 3.6 (3 3/5) tablespoons are used, then for 13.5 (13 1/2) kgs: 3.6 × 13.5 = 48.6 tablespoons are used.

From the question,

[tex]3\frac{3}{5}[/tex] tablespoons of melted butter = 1 kilogram of flour

The number of tablespoons of melted butter the baker can use for 13 kilograms of flour is calculated as

1 kilogram of flour =  [tex]3\frac{3}{5}[/tex] tablespoons of melted butter

[tex]13\frac{1}{2}[/tex] kilograms of flour = b

Cross multiply

1 kilogram of flour x b = [tex]13\frac{1}{2}[/tex] kilograms of flour x [tex]3\frac{3}{5}[/tex] tablespoons of melted butter

b = [tex]13\frac{1}{2}[/tex] kilograms of flour x [tex]3\frac{3}{5}[/tex] tablespoons of melted butter  /1 kilogram of flour

b = 48.6 tablespoons of melted butter

Therefore, the baker would use 48.6 tablespoons of melted butter for [tex]13\frac{1}{2}[/tex]kilograms of flour.

To learn more, visit the link below:

https://brainly.in/question/38507932

round your answer to your nearest 10th ​

Answers

Answer:  46.4

Step-by-step explanation:

[tex]F=\frac{9}{5}C + 32\\[/tex]

[tex]F=\frac{9}{5}(8) + 32\\[/tex]

[tex]F=\frac{72}{5} + 32\\[/tex]

[tex]F=\frac{72}{5} + \frac{160}{5} \\[/tex]

[tex]F= \frac{232}{5}[/tex]

F ≈ 46.4

The difference of two supplemtary angles is 58 degrees. Find the measures of the angles

Answers

Answer:

The measure of the angles are 61° and 119°

Step-by-step explanation:

Let the first angle = x°

let the second angle = y°

The sum of two supplementary angles = 180°

x° + y° = 180° ----- equation (1)

based on the given question; "the difference of two supplementary angles is 58 degrees."

x° - y° = 58° ------- equation (2)

from equation (2), x° = 58° + y°

Substitute the value of x into equation (1)

(58° + y°) + y° = 180°

58 + 2y = 180

2y = 180 -58

2y = 122

y = 122 / 2

y = 61°

The second angle is given by;

x° = 58° + y°

x = 58° + 61°

x = 119°

Thus, the measure of the angles are 61° and 119°

A triangle has angle measurements of 64°, 45°, and 71°. What kind of triangle is it?

Answers

Answer:

Acute triangle

Step-by-step explanation:

What is an acute triangle?

Triangles with three acute angles are acute triangles.

What are acute angles?

Acute angles are angles that are less than a right angle, or 90°. In this case, we can classify this triangle as an acute triangle because all of its angle measures are less than 90°, and they add up to 180°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

An acute triangle.

Step-by-step explanation:

· In these angles, they are all less than a 90 degree angle(right angle) which we would infer an acute triangle.

If the angle of an isosceles triangle at the top of the triangle is 70 degrees, then what is the measure of the other two angles if they must be equal.

Answers

Answer:

55

Step-by-step explanation:

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
(x,y) → (x + 1,y)

(x,y) → (x,y + 1)

(x,y) → (x – 1,y)

(x,y) → (x,y – 1)

Answers

the answer would be (x,y) —> (x-1,y). the reasoning being that all of the points on the x axis move to the left by one unit, and all points on the y axis stay the same.

Whats the equation given for (5,1) and (4,4)

Answers

Answer:

y= -3x+16 I'm pretty sure its right

Hello!

The equation for the equation is y2-y1/x2-x1

Y2 = 4
Y1 = 4
X2 = 1
X1 = 5

4-4/ 1-5
0/ -4

X= 0

The answer is y= 0x.


Y = 0x + 5


That should be your answer!

- Zee
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