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Zepler [3.9K]
3 years ago
7

What is the probability of rolling a die 6 times and getting the numbers 1, 2, 3, 4, 5, 6 in that order? Select the best answer

from the choices provided.
A. 0.001389
B. 0.000129
C. 0.000021
D. 0.0000038
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021

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Hey guys happy Tuesday ! I need some home work help ASAP work and answer pls love y’all ❤️
Strike441 [17]
1. Multiply 5 by 2 since the piece is twice as long. That is 10. 
Multiply 4 by 3 since the piece is 3 times as long. That is 12. 
Her piece is 10 x 12. 
2 sides of 10 & 2 sides of 12.
Multiply 10 & 12 by 2 to get 20 and 24. Add them together to get 44 inches, which is the perimeter. 

2. Multiply 4 x 2 since length is twice width. That is 8. 
Multiply 8 x 4 to get the area of the red paper. That is 32. 
Multiply 3 x 7 to get the area of the blue paper. That is 21.
Subtract 21 from 32 to get the amount of red paper that wasn't covered up.
11 square cm were not covered up. 

Hope this helps!
8 0
3 years ago
Find the solutions to the system:
Arlecino [84]

Answer:

x = 3 - y\\  {(3 - y)}^{2}  +  {y}^{2}  = 9 \\  \\ y = 0 \:  \: x =  3 \\ y = 3  \:  \:  \: x = 0\\  \\  \\ b \: is \: corret \: answer

5 0
3 years ago
David swan, biked, and ran in the Camp Race. She biked twice as long as she ran, and swam 15 minutes more than she ran. Her tota
lidiya [134]

Answer:

She biked 40 minutes.She ran 20 minutes.She swam 35 min.

Step-by-step explanation:

since you have 95 minutes for all parts first subtracted 15 from what she swam the you have four equal parts left the time she ram then twice she ran she biked and then the she swam 15 minutes More that she ran so you dived 95-15 which is 80  80/4 is 20 so she ran 20 min so 20 x 2 is 40 for she bike 40 then 20+15 is 35 so 40+20+35=95 an hour an 35 minutes

6 0
3 years ago
If cos=3/5, then tan=
Juliette [100K]
This is a 3-4-5 triangle.

Remember, 
SOH-CAH-TOA

S(ine) =  O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)

In Cosine, the adjacent = 3, and the Hypotenuse = 5

Hypotenuse is the longest side. 

3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3

T(angent) = O(pposite)/A(djacent)

Plug in the numbers

T = 4/3

tan = 4/3 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

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Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
2 years ago
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