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PtichkaEL [24]
3 years ago
9

In a state lottery 25 balls numbered from 1 to 25 and placed in machine. 6 numbers randomly drawn. And here is the chart what ca

n win a player by buying single lottery ticket: 6 number match $10,000 5 number match $ 5,000 4 number match $ 1000 3 number match $ 5,00 2 number match $ 50 1 number match $ 10. what is the probablity that a player will will 10000 dollars
Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer: 0.00000565

Step-by-step explanation:

Required to win:

6 number match $10,000

5 number match $ 5,000

4 number match $ 1000

3 number match $ 5,00

2 number match $ 50

1 number match $ 10

Therefore, to win $10,000 ;

All 6 numbers must match

Number of right numbers = 6

Total numbers = 25

Since it is without replacement :

Probability = required outcomes / Total possible outcomes

P(First number match) = 6/25

P(second number match) = 5/24

P(third number match) = 4/23

P(fourth number match) = 3/22

P(fifth number match) = 2/21

P(sixth number match) = 1 / 20

Therefore, Probability of winning $10000 :

(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465

= 0.00000565

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Answer:

(-1, 4)

Step-by-step explanation:

-5+3/2 = -1

6+ 2/2 = 4

(-1, 4)

3 0
3 years ago
I turn my dial on my stove 45degrees from the start position if i continue to turn the dial, how many degrees further will i nww
AveGali [126]

Answer:

315 degrees

Step-by-step explanation:

Assume that the dial is a perfect circle and therefore makes a full 360 degree rotation. If the dial is already turned 45 degrees, the rotation angle required to return all the way to the initial position is:

A = 360 - 45\\A=315\ degrees

You will need to rotate 315 degrees.

6 0
3 years ago
Solve the inequality. 1/3+x+2/9>5/6
Anettt [7]

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you <em>5⁄9</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>></em><em> </em><em>⅚.</em><em> </em>Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is <em>x</em><em> </em><em>></em><em> </em>5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

4 0
3 years ago
What are the possible values of x in x2 + 3x + 3 = 0?
e-lub [12.9K]

To solve a quadratic equation like ax^2+bx+c=0, you can use the quadratic formula

x_{1,2} = \cfrac{-b\pm\sqrt{b^2-4ac}}{2a}

In your case, a = 1, b = c = 3, so the formula becomes

x_{1,2} = \cfrac{-3\pm\sqrt{(-3)^2-4\cdot 1\cdot 3}}{2\cdot 1}

We can simplify the expression:

x_{1,2} = \cfrac{-3\pm\sqrt{9-12}}{2} = \cfrac{-3\pm\sqrt{-3}}{2}

Since -3 is negative, its square root is computed as

\sqrt{-3} = \sqrt{-1\cdot 3} = \sqrt{-1}\sqrt{3} = \sqrt{3}i

So, the solutions are

x = \cfrac{-3+i\sqrt{3}}{2} \text{ or } x = \cfrac{-3-i\sqrt{3}}{2}

4 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through point (4 -6) and has a slope of -3
Natalija [7]

Answer:

y-y1=m(x-x1)

y-(-6)=-3(x-4)

y+6=-3x+12

y=-3x+6the final answer

5 0
3 years ago
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