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pshichka [43]
3 years ago
14

What is the slope of the graph shown?

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0
Slope is going down so it’s gonna be y=6x+2
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In a Match 6 Lotto, winning the jackpot requires that you select six different numbers from 1 to 49, and that the same six numbe
zimovet [89]

Answer:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Step-by-step explanation:

Consider the following characteristics of the problem:

The numbers that are selected are different between 1 and 49. This means that the same number is not repeated twice.

The order in which the selected numbers appear does not matter:

This means that (123) = (312)

With this in mind, we know that it is a problem of combinations without repetition. It is not calculated using permutations because in the permutations the order of selection is important, for example: (123) is not equal to (312)

The formula for calculating combinations without repetition is:

nCr=\frac{n!}{r!(n-r)!}

Where n is the number of "elements" you can choose and choose r from them

In this case:

n=49

r=6

So:

49C6=\frac{49!}{6!(49-6)!}

49C6=13,983,816\ outcomes

There are 13,983,816 possible results

This is the best method to calculate the number of possible outcomes.

<em><u>"Besides your method, is there another method to determine the number of outcomes?"</u></em>

Sure, make a list of the 13,983,816 different sets of 6 numbers.

To win it is necessary to obtain the 6 winning numbers in any order. The number of ways this can occur is calculated by combining 6 in 6

6C6=\frac{6!}{6!(6-6)!}=1

Finally the probability of winning is:

P=\frac{1}{13,983,816}=7.2\ x\ 10^{-8}

Note that the probability of winning is very close to 0. It is practically impossible to win the lottery, you will probably never win anything. Therefore it is better not to invest money in this

6 0
3 years ago
20,884 divided by 92​
Alenkasestr [34]

20884/92 math problems division = 227. Therefore 227 to 2 decimal places= 227

7 0
2 years ago
Read 2 more answers
GCF of 72 and 81 (pls show work 20 pts each)
Ostrovityanka [42]

Answer:

9

Step-by-step explanation:

9x8 is 72

9x9 is 81

9x8

3x3x4x4

3x3x2x2x2x2

9x9

3x3x3x3

8 0
2 years ago
Read 2 more answers
Solve the system using the elimination method.
spayn [35]

Answer:

  (x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

  (3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

  10x +2z = -16 . . . . collect terms

  5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

  2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

  16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

  11(5x +z) -(16x +11z) = 11(-8) -(-22)

  39x = -66

  x = -66/39 = -22/13

From [eq4], we can find z as ...

  z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

  y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0
2 years ago
Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
WARRIOR [948]

Answer:

$564

Step-by-step explanation:

6% of 600 is 36

So 600-36= $564

7 0
3 years ago
Read 2 more answers
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