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Vlada [557]
3 years ago
11

If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a p

erfect cube?
Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

\frac{5}{36}

Step-by-step explanation:

There are 6^2=36 non-distinct sums that can be achieved when rolling two fair sided dice.

The smallest of these sums is 1+1=2 and the largest of these sums is 6+6=12. Within this range, there exists only one perfect cube, 2^3=8.

Count how many ways we can achieve a sum of 8 with two dice:

\begin{cases}2+6=8,\\6+2=8,\\3+5=8, \\5+3=8,\\4+4=8\end{cases}\\\\\implies \text{5 ways}

Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to \boxed{5/36}

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5(x + 7) = 15<br> what is the value of x
Sindrei [870]

Step-by-step explanation:

5(x + 7) = 15

x+7=3

x=-4!!!!!!

6 0
3 years ago
Read 2 more answers
Look ate the picture down below, and please help me i would really appreciate it
zavuch27 [327]

Answer:

  46°

Step-by-step explanation:

When secants intersect each other and a circle, the external angle (A) is half the difference of the intercepted arcs:

  ∠A = (arcDC -arcBC)/2

  12° = (arcDC -22°)/2 . . . . . . . fill in the given numbers

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3 years ago
Will it cost more to rent from Company A or Company B if "Ali" rents the bounce house for 3 hours? 5 hours? 10 hours?
a_sh-v [17]

Answer:

3 HOURS : company A costs more

5 HOURS : Cost is the same

10 HOURS : Company B costs more

Step-by-step explanation:

Company A :

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Company B:

Hourly rate = $40

Cost of renting a bounce house from each company for h hours ;

Company A:

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Company B:

Total cost = 40h

If h = 3

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FOR h = 5;

Company A:

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Company B:

40(5) = $200

FOR h = 10;

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Company B:

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3 0
3 years ago
Compare the sets of numbers given and place them in the correct column or incorrect column.
TEA [102]

Answer:

I think the answer is option 3

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3 years ago
Find the value of x. Round to the nearest tenth if needed.
Natasha_Volkova [10]
12^2 + 6^2 = x^2
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rounded

x = 13.4
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