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svetlana [45]
3 years ago
5

Two number cubes are rolled.

Mathematics
2 answers:
hichkok12 [17]3 years ago
6 0

Answer:

When two number cubes  are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = \frac{\text{Total favorable outcome}}{\text{Total possible outcome}}

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= \frac{3}{36}=\frac{1}{12}

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)=\frac{6}{36}=\frac{1}{6}

miv72 [106K]3 years ago
3 0

The sample space is the set of the 36 possible couples:

\Omega = \{(x,y): 1\leq x\leq 6,\ 1\leq y\leq 6\}

So, we have

(1,1)\  (1,2)\  (1,3)\  (1,4)\  (1,5)\  (1,6)

(2,1)\  (2,2)\  (2,3)\  (2,4)\  (2,5)\  (2,6)

(3,1)\  (3,2)\  (3,3)\  (3,4)\  (3,5)\  (3,6)

(4,1)\  (4,2)\  (4,3)\  (4,4)\  (4,5)\  (4,6)

(5,1)\  (5,2)\  (5,3)\  (5,4)\  (5,5)\  (5,6)

(6,1)\  (6,2)\  (6,3)\  (6,4)\  (6,5)\  (6,6)

As for the probability of rolling a sum greater than 9, just count how many cases satisfy the request, and divide the number of cases by the cardinality of the sample space: the good rolls are

(3,6)\ (4,5)\  (4,6)\ (5,4)\  (5,5)\  (5,6)\  (6,3)\  (6,4)\  (6,5)\  (6,6)

So, 10 out of 36 rolls are good, leading to a probability of

\dfrac{10}{36} = \dfrac{5}{18}

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Yes it is correct

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mamaluj [8]

Answer:

1)   68

    / \

 4     17

  /\

2  2

68=2*2*17

2)  104

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 4      26

  /\       /\

2  2   2   13

104=2*2*2*13

3) 78

    /\

 2    39

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      3   13

78=2*3*13

4) 225

    /\

  9   25

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 3 3  5 5

225=3*3*5*5

Second Part:

1)  45

    /\

  3  15

       /\

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45=3*3*5

2)  70

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   2   35

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70=2*5*7

3)  54

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   /\    /\

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54=3*3*2*3

4)  126

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126=3*3*7*2

3 0
2 years ago
PLEASE HELP ASAP!!! Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.
ss7ja [257]

Answer:

(D) y³ - 8y² +8y +5

Step-by-step explanation:

y³ - 6y²+ 5y - (2y²- 3y - 5 ) = y³ - 6y² + 5y - 2y² + 3y +5 = y³ - 8y² +8y +5

8 0
3 years ago
LAST ONE FOR TODAY PLEASE HELP! picture below
Hunter-Best [27]

Answer:

I know for a fact that x is 4.3 so that means 4.2 is less than x and 4.4 is greater than x

here are the steps whether you like it or not

step:1    4.1^2+1.3^2=18.5

step:2   √18.5=4.3

5 0
3 years ago
A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t2 + 84t gives the rock's height in
kenny6666 [7]

Answer:

h = 110.24 m

Step-by-step explanation:

It is given that,

A rock is thrown up from the ground at a velocity of 84 feet per second. The formula h = -16t^2 + 84t gives the rock's height in feet after t second.

We need to find the maximum height of the rock. For maximum height put \dfrac{dh}{dt}=0

So,

\dfrac{d( -16t^2 + 84t)}{dt}=0\\\\-32t+84=0\\\\t=\dfrac{84}{32}\\\\t=2.62\ s

Put t = 2.62 s in the equation of height. So,

h = -16(2.62)^2 + 84(2.62)\\\\h=110.24\ m

So, the maximum height of the rock is 110.24 m.

7 0
3 years ago
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