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Natasha2012 [34]
3 years ago
14

Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

1/3, 5/6, and 5/18.

Step-by-step explanation:

If a die has 6 sides, then because there are 2 sides equal or greater than 5 (5 and 6), then there is a 2/6 or 1/3 chance of rolling the first die. On the second roll, there are 4 sides equal or greater than 5 (2, 3, 4, 5, and 6), so there is a 5/6 chance of rolling it. To find the probability of both happening, multiply 1/3 by 5/6 to get 5/18.

bekas [8.4K]3 years ago
6 0

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
Fudgin [204]

Answer:

\sf t_{20}= 0

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

      \sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }

6th term is 14 ⇒ \sf t_6 = 14

                a + (6 - 1)d = 14

                    a  +  5d = 14  --------------(I)

14th term is 6 ⇒\sf t_{14} = 6

             a + (14-1)d = 6

                  a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

        (I)          a + 5d = 14

        (II)         a + 13d = 6

                    <u>-    -          -</u>

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \sf \boxed{\bf d= (-1)}

Plugin d = -1 in equation (I)

a + 5(-1) = 14

      a -5  = 14

             a = 14 + 5

             \sf \boxed{\bf a = 19}  

20th term:

 \sf t_{20}= 19 + 19*(-1)

       = 19 - 19

   \sf \boxed{\bf t_{20} = 0}

8 0
1 year ago
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Lana71 [14]
The values or the answer is C and F!
3 0
3 years ago
Is x-10 a factor of f(x)=5x^3+60x^2+109x+90
RUDIKE [14]

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

4 0
2 years ago
The Sum of the prime factor of 4275 is ?
Deffense [45]

Answer:

Prime Factors of 4275 =3, 3, 5, 5, 19

Which is the same as = 32 x 52 x 19

5 0
3 years ago
Break apart and distribute to solve 72÷8<br> 72÷8=(40÷8)+(32÷8)<br> 9=5+4<br> 9=9
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You got it right because you solved it correctly
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