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saveliy_v [14]
3 years ago
5

Sixty people purchase raffle tickets. Three winning tickets are selected at random. If each prize is $3000, in how many differen

t ways can the prizes be awarded?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:^{60}C_{3} ways.

Step-by-step explanation:

^{n}C_{k} is the number of ways in which k distinct objects are selected from a pile of n distinct objects.

In our question,there are a total of 60 people.

So,n=60.

Given that three are selected at random.

So,k=3.

So,the answer is ^{60}C_{3} ways.

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A rectangle has a length of x+7 and a width of 2x-3. If it’s perimeter is 32, what is the value of 3x? A.4/B.12/C.14/D.36/E.42/
Tamiku [17]

Answer:

The correct option is C. 14.

Step-by-step explanation:

First you have that the perimeter of a rectangle = (2·length) + (2·width)

⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]

⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)

⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.

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Convert 4.824 meters per second to kilometers per hour.
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Answer:

Step-by-step explanation:

17.3664

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san4es73 [151]
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What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?
zysi [14]

Answer:

B. 199

Step-by-step explanation:

We are given an Arithmetic sequence : 3, 7, 11, 15, ...

We are supposed to find the 50th term .

So, first consider the formula of nth term in Arithmetic mean:

a_{n} = a+(n-1)*d

where

a is first term of sequence

n is term position

d is common difference

a_{n}= the term you are supposed to find

Now,

a = 3 ( first term )

n = 50 th term ( given )

d = 7-3 = 11-7 = 4(common difference

Substitute these value in the formula given above

⇒a_{50} = 3+(50-1)*4

⇒a_{50} = 3+(49)*4

⇒a_{50} = 3+196

⇒a_{50} = 199

Hence ,The 50th term of given arithmetic sequence is 199

So, OPTION B is correct .


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