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liubo4ka [24]
2 years ago
10

Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is random

ly selected. What is the probability of selecting two prime numbers?
Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Alex_Xolod [135]2 years ago
8 0

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.

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Soloha48 [4]
If arctan 4/3 = the tangent of that angle will be 4/3 , opposite 4 over adjacent 3

Now, you only have to take the sin of that angle it's opposite 4 over hypotenuse 5. 

You will get that the answer is 4/5

hope this helps



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The drama club had a car wash as a fundraiser where they washed a total of 41 vehicles. Members washed
Dimas [21]

Answer:

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Step-by-step explanation:

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2 years ago
Which fractions are equivalent to 1/8+5/8? Check all that apply.
dolphi86 [110]
The equivalent fractions are 3/4 & 12/16 hope this helps!!
7 0
3 years ago
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PLZ HELP <br> the expressions a[8x+7] and 4x+3.5 are equivalent. what is the value of a
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Answer:

a=0.5

Step-by-step explanation:

Divide each term by  8x+ 7  and simplify.

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6 0
2 years ago
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If 5y = 6x + 16 and 9x = 7y-20, what is the value of 3x - 2y?
Law Incorporation [45]

The value of 3x-2y is -4. From the equation 5y=6x=16 and 9x=7y-20 the values of (x,y) is (4,8).

Step-by-step explanation:

        The given equations are,

                 5y=6x+16.......................(1)

                 9x=7y-20......................(2)

                3x-2y...............................(3)

Step:1

    Modify the equations (1) and (2) in (x+y=constant) format,

                6x-5y=-16.....................(4)

                9x-7y=-20....................(5)

Step:2

     Equation (4) is multiplied by 7     ( ∵ 7×Eqn(4))

                42x-35y=-112..............(6)

Step:3

     Equation (5) is multiplied by 5     (∵ 5×Eqn(5))

               45x-35y=-100.............(7)

Step:4

    Subtracting Equation (6) and (7)

               42x-35y=-112

              45x-35y=-100

    ( - )

     (42x-45x)+(35y-35y)=(100-112)

     (-3x)+(0)=(-12)

    x=4

Step:5

    Substitute X value in Equation (1),

             5y=6x+16...................(1)

     where, x=4,

             5y= (6×4)+16

             5y=40

            y= 8

Step: 6

      Check for solution, substitute x and y values in equation (2).

                9x=7y-20.......................(2)

               (9×4)=(7×8)-20

              36=36

Step:7

      From given, 3x-2y

      where, X=4 and y=8

              3x-2y = (3×4)-(2×8)

                        = 12-16

            3x-2y = -4

Result:

      The value for 3x-2y is -4. The values of (x,y) are (4,8).

   

5 0
2 years ago
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