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Oxana [17]
3 years ago
8

In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the

number on the gold ball​ (1 through 35​). If one ticket is​ purchased, what is the probability of winning the​ jackpot?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

the probability of winning the​ jackpot is <em>1 in 42 761 565</em>.

Step-by-step explanation:

The number of ways to select five numbers from 45 is:

ⁿCₐ = n! / (n - a)! × a!

where

  • a is the number of objects
  • n is the number of distinct objects

Therefore,

⁴⁵C₅ = 45! / (45 - 5)! × 5!

      = (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)

      = 1221759

There are 35 ways to select a gold ball. Therefore, the total number of ways to get 6 matching numbers is:

1221759 × 35 = <em>42 761 565</em>

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Angles 1 and 2 are complementary. If Angle 1 measures 29.6º, then what is the measure of Angle 2? º
tangare [24]

Answer:

60.4 degrees

Step-by-step explanation:

Complementary angles are 2 angles that add up to the sum of 90 degrees.

90-29.6=60.4 degrees

Hope this helps!

8 0
3 years ago
Which statements are true the ordered pair (1, 2) and the system of equations?
galina1969 [7]

Answer:

when (1.2) is substituted into the second equation the equation is true

Step-by-step explanation:

further you substitute x and the then solve

4 0
2 years ago
Subject: Pre-algebra
charle [14.2K]

Answer:

1: true

2: false

Step-by-step explanation:

1: congruent = equal while supplementary = 180-degrees

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8 0
2 years ago
Read 2 more answers
Neeeeed help please
Nikolay [14]
A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one.  In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry      Tim
2              1
2              1
2              1
2              1
2              1
2              1
10            1  (Henry's own vote)
1          100  (Tim's own vote)
------------------
17        107  TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.



3 0
3 years ago
Read 2 more answers
HELP!
artcher [175]

Answer:

B.Obtuse

as shown in the pictures that you put the angel is obtuse

6 0
2 years ago
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