1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
worty [1.4K]
3 years ago
5

Please help with both Step by Steps!!!!

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Rolling two dice can output any number between 2 and 12. Here are the probabilities (given by how many combinations would yield that sum):

You get 2 if you roll (1, 1) \implies P=\dfrac{1}{36}

You get 3 if you roll (1, 2), (2, 1) \implies P=\dfrac{2}{36}

You get 4 if you roll (1, 3), (2, 2), (3, 1) \implies P=\dfrac{3}{36}

You get 5 if you roll (1, 4), (2, 3), (3, 2), (4, 1) \implies P=\dfrac{4}{36}

You get 6 if you roll (1, 5), (2, 4), (3, 3), (4, 2), (5, 1) \implies P=\dfrac{5}{36}

You get 7 if you roll (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1) \implies P=\dfrac{6}{36}

You get 8 if you roll (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) \implies P=\dfrac{5}{36}

You get 9 if you roll (3, 6), (4, 5), (5, 4), (6, 3) \implies P=\dfrac{4}{36}

You get 10 if you roll (4, 6), (5, 5), (6, 4) \implies P=\dfrac{3}{36}

You get 11 if you roll (5, 6), (6, 5) \implies P=\dfrac{2}{36}

You get 12 if you roll (6, 6) \implies P=\dfrac{1}{36}

So, you get an even sum OR a 3 if you roll a total of 2, 3, 4, 6, 8, 10 or 12. The sum of their probabilities is

\dfrac{1+2+3+5+5+3+1}{36}=\dfrac{20}{36}=\dfrac{5}{9}

You get doubles and at least 8 if you get (4,4), (5,5) or (6,6). Each of these pairs happen with probability 1/36, for a total of

\dfrac{3}{36}=\dfrac{1}{12}

You might be interested in
Evaluate: √169 2 − √125
lys-0071 [83]

Answer:

Pull terms out from under the radical, assuming positive real numbers.

Exact Form:

26-5√5

Decimal Form:

14.81966011...

7 0
2 years ago
G is the centroid of triangle ABC.
AleksAgata [21]

Answer:

  • x = 37
  • DG = 22
  • AG = 44
  • AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

  (x+7) = 2(x -15)

  x + 7 = 2x - 30 . . . . eliminate parentheses

  37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Of course, AD = AG +GD = 44 +22 = 66

7 0
2 years ago
Read 2 more answers
Pls help!!!!!!!!!!!!!​
Wewaii [24]

Answer:

All triangles have 180 degrees.

Step-by-step explanation:

7 0
3 years ago
Which of the following is equal to the square root of the cube root of 6?
stiks02 [169]

The correct answer is: [A]: " 6 to the power of (1 over 6) " .

Explanation:

________________________

√ [(∛6)] = √ [6⁽¹/³⁾ ] = [6⁽¹/²⁾ ] ⁽¹/³⁾ = 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) = ???? ;


<u>Note</u>: \frac{1}{2}  *\frac{1}{3}      =   \frac{(1*1)}{(2*3)}    =   \frac{1}{6} ;

________________________

→ 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) ;

= 6^ ( ⁽¹/⁶⁾ ) ;

→ which is: Answer choice: [A]: " 6 to the power of (1 over 6) " .

________________________

7 0
2 years ago
Read 2 more answers
Ratio 90kg to 2 : 3 : 7
adoni [48]

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

3 0
2 years ago
Other questions:
  • The table shows the prices charged at a dry cleaner. Is the relationship between the price and number of shirts proportional?
    8·1 answer
  • Of the last 15 contestants on a game show, 3 won a prize. Considering this data, how many of the next 20 contestants would you e
    9·1 answer
  • Help please no rush
    7·1 answer
  • A trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts, and 2 cups of cashews. Which ingredients are in the same
    5·1 answer
  • Find the volume of the prism height 8cm length 12cm width 6cm
    12·2 answers
  • Help is needed<br>-15/20 in lowest terms
    10·1 answer
  • What does percent mean? Per<br> (Spell the word or write the number)
    8·2 answers
  • Evaluate the expression when a=4 and b=-3.<br> -a +4b
    11·2 answers
  • Solve the following inequality <br><br> 2x + 1 &lt; 5
    8·2 answers
  • A line with a slope of 0 that passes through (6,-11)?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!