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3 years ago

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?

1 answer:

7 0

$|\Omega|=6^2=36\\ |A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\ P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\%$

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Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol

3241004551 [841]

Answer:

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

3 × 2 × 2 × 2 = 24

These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

5 0

2 years ago

Read 2 more answers

This is confusing<br> (2x+y)^2−(x−2y)^2

Iteru [2.4K]

Answer:

${(2x + y)}^{2} - {(x - 2y)}^{2}$

$< {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} >$

$< {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} >$

${(2x)}^{2} + 2(2x)(y) + {(y)}^{2} - {(x)}^{2} - 2(x)(2y) + {(2y)}^{2}$

${4x}^{2} + 4xy + {y}^{2} - {x}^{2} - 4xy + {4y}^{2}$

${4x}^{2} - {x}^{2} + {4y}^{2} + {y}^{2}$

$= {3x}^{2} + {5y}^{2}$

5 0

2 years ago

Read 2 more answers

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a

iragen [17]

Number of friends - x

50-3x=2
-3x=-48
3x=48
x=16

Jack has 16 friends.

3 0

3 years ago

Read 2 more answers

Chloe and tino have a combined age of 48. three years ago chloe was double the age tino is now. find tinos age

jeka94

As given Chole and Tinos age , the present age of Tino is equal to 15 years.

As given,

Let x and y be the present age of Chole and Tino. respectively.

Combined age = 48

Given condition,

x + y = 48 _______(1)

Three years ago

x - 3 = 2y

⇒x =2y +3 _______(2)

Substitute the value of x in (1),

2y+3 +y =48

⇒ 3y = 45

⇒ y = 15years

Therefore , as given Chole and Tinos age , the present age of Tino is equal to 15 years.

Learn more about age here

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5 0

1 year ago

Two towers face each other separated by a distance = 15 m. As seen from the top of the first tower, the angle of depression of t

Crazy boy [7]

Answer:

Height of second tower = 17.32m

Step-by-step explanation:

I have attached a diagram depicting the question.

From the diagram, The first tower is depicted by side AEB and the second tower CD.

While d is the distance that separates the two towers and it's given as 15m.

Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.

Thus; using trigonometric ratios;

tan 60° = AB/AC.

This gives; AB = d*tan 60°

Similarly, for the triangle BED, BE = d*tan 30°

Since, AE = CD, thus ;

CD = AB − BE

CD = d (tan 60° − tan 30°)

CD = 15(1.7321 − 0.5774)

CD = 15 × 1.1547

CD ≈ 17.32 m.

So, height of second tower = 17.32 m

7 0

2 years ago