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Juliette [100K]
3 years ago
9

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 32​). If one ticket is​ purchased, what is the probability of winning the​ jackpot?
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

39,096,288

Step-by-step explanation:

as we know that

The number of ways to pick 5 numbers from 45  are

45C_5

\frac{45\times44\times43\times42\times41}{5\times4\times3\times2\times1}|

= 1,221,759.

There are 32 ways to pick a gold ball so total number of ways to get  6 matching numbers is

1221759×32

= 39,096,288

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81 is 45% of what number
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X + 2/3 = 8/9 x=__ ..........................................
stepladder [879]

Answer:

x = -6

Step-by-step explanation:

x+\frac{2}{3}=\frac{8}{9}x\\\\x  = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6

6 0
3 years ago
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Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1
Semenov [28]

ANSWER

B.

- \cos^{2} x

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

(x + 1)(x - 1) =  {x}^{2}  - 1

This implies that,

( \sin \: x + 1)( \sin \: x - 1)  =   \sin^{2} x - 1

We can factor -1 on the right hand side to get,

( \sin \: x + 1)( \sin \: x - 1)  =    - (1 - \sin^{2} x )

Note that from the Pythagorean Identity

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4 0
3 years ago
50 point for this question
finlep [7]

Answer:

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c = 55.2

Thus, we can say, range of c is:

55.2° ≤ c ≤ 55.8°

4 0
3 years ago
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