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andrey2020 [161]
3 years ago
10

Find the product thanks

Mathematics
1 answer:
damaskus [11]3 years ago
7 0
9s^2 - 3st -6t^2 here it is
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A person participates in a state lottery by selecting six numbers from 1 through 51. If the six numbers match the six drawn by t
Licemer1 [7]

There are

\dbinom{51}6=\dfrac{51!}{6!(51-6)!}=18,009,460

total ways to draw any 6 numbers from the range 1 to 51, regardless of order.

Given 6 selected numbers that match those drawn by the lottery, there are

6!=720

ways of rearranging them. So the probability of winning 1st prize is

\dfrac{720}{18,009,460}=\dfrac{36}{900,473}\approx0.0000399790

Next, given 6 selected numbers of which 5 match those drawn by the lottery, there are

5!=120

ways of rearranging those 5 matching numbers. There are 46 remaining numbers that didn't get drawn, so the probability of winning 2nd prize is

\dfrac{46\cdot120}{18,009,460}=\dfrac{12}{39,151}\approx0.0003065

7 0
3 years ago
PLSSSSS HELP ME
Nikitich [7]
Well, the graph of 1/4x+5 would be shifted 5 units up since the y-intercept would pass through 5. Due to the y- intercept being different, however the slope would still be the same
3 0
3 years ago
Read 2 more answers
Given f(x)-3X- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Aleksandr [31]

Answer:

  x = 4

Step-by-step explanation:

You want x when ...

  g(x) = f(2)

  2x -3 = 3(2) -1

  2x = 8 . . . . . . . . add 3, simplify

  x = 4 . . . . . . . . . divide by 2

6 0
3 years ago
Given the equation 4x2 − 8x 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 k = 0?
Westkost [7]

The vertex form of the given quadratic equation is

4(x-1)^{2} + 16 =0.

According to the given question.

We have a quadratic equation

4x^{2} -8x + 20 = 0

Since, for the standard quadratic form is ax^{2} +bx + c = y, the vertex form of a quadratic equation is y = a(x -h)^{2} + k where (h, k) is the vertex.    

And h and k can be calculated as

h = -b/2a and y = k

So, for the given equation 4x^{2} -8x + 20 =0 the vertex (h, k) is given by

h = -(-8)/2(4) = 8/8 = 1   (X coordinate of vertex)

and,

y =4x^{2} -8x+ 20

substitute x = 1 in the above equation for the value of k

Y = 4(1)(1) - 8(1) + 20

⇒ Y = 4 - 8 + 20

⇒ Y = -4 + 20

⇒ Y = 16

so, k = 16          (Y coordinate of vertex)

Now, substitute the value of a, k and h in y = a(x-h)^{2} + k.

⇒  0 =4(x-1)^{2} + 16

Therefore, the vertex form of the given quadratic equation is

4(x-1)^{2} + 16 =0.

Find out more information about vertex form of a quadratic equation here:

brainly.com/question/12223454

#SPJ4

6 0
2 years ago
Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 <
Darya [45]

Answer: Sabric is correct because 3.613 is smaller than 3.63. Therefore, –3.613 lies to the left of –3.63 on a number line.

Step-by-step explanation:

Given that:

Sabric's claim = –3.613 > –3.63

Jessica's claim = –3.613 < –3.63

From the claims above, - 3.613 is greater than - 3.63, this is because both numbers are negative and as such moving towards the left hand side of the number line from 0. - 3.613 will be encountered first before - 3.630, which signifies that - 3.613 is greater than - 3.630

3 0
3 years ago
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