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Yuliya22 [10]
3 years ago
13

The Powerball lottery is played twice each week in 28 states, the Virgin Islands, and the District of Columbia. To play Powerbal

l a participant must purchase a ticket and then select five numbers from the digits 1 through 55 and a Powerball number from the digits 1 through 42. To determine the winning numbers for each game, lottery officials draw five white balls out of a drum with 55 white balls, and then one red ball out of a drum with 42 red balls. To win the jackpot, a participant’s numbers must match the numbers on the five white balls and the number on the red Powerball. Compute the number of ways the first five numbers can be selected.
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

There are 3478761 ways to select the first 5 numbers

Step-by-step explanation:

As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.

In this case it is a combination.

So, what we want to know is how many ways you can choose 5 white balls out of 55.

Then we use the formula of combinations:

C(n, x) = \frac{n!}{x! (n-x)!}

Where you have n elements and choose x from them.

Then we look for:

C(55, 5) = \frac{55!}{5!(55-5)!}\\\\C(55, 5) = \frac{55!}{5!(50)!}\\\\C(55, 5) = 3478761

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91, I just kept adding 5 until I got to the 20th term

7 0
3 years ago
For every 8 knee bends that Zoey did during the physical fitness test, Cole did 5. Zoey was able to do 33 more knee bends than C
Ludmilka [50]

Answer:

55

Step-by-step explanation:

difference=8-5=3

if difference is 3 Cole bends=5 times

if difference is 33 Cole bends=(5/3)×33=55 times

5 0
2 years ago
After the first term in a sequence, the ratio of each term to the preceding term is r. If the first term is a, what is the third
irinina [24]

Answer:

The 3rd term is

ar^2

Step-by-step explanation:

From the given information, the first term of the sequence is

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The common ratio of the sequence is

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The explicit formula for a geometric sequence is :

a_n=a_1(r^{n-1})

To find the third term, we put n=3 to get:

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This simplifies to:

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7 0
3 years ago
Oakley charged $795 to his credit card last month. What is the first minimum payment he must make? (2 points)$25.00
DaniilM [7]

Answer:

$31.80

Step-by-step explanation:

<u><em>The complete question is</em></u>

Use the details of Oakley's new credit card to answer the question that follows. APR 11.9% compounded monthly Grace Period 28 days Minimum Payment 4% of the remaining balance or $25, whichever is higher Oakley charged $795 to his credit card last month. What is the first minimum payment he must make?

step 1

Find out the 4% of the balance of $795

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so

\$31.80 >\$25

This amount is higher than $25,

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4 0
2 years ago
7.3 x 10^5 + 3.7 x 10^5=
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Answer:

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Step-by-step explanation:

5 0
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