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Marizza181 [45]
3 years ago
9

A total of 28 students have entered a spelling contest. There are 6 medals for first through sixth place will be awarded. In how

many different ways can the medals be awarded?
A. 178,340
B. 376,740
C. 271,252,800
D. 96, 860

(I am terrible at probability questions.)
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
This is a permutation / combination problem.

For the 1st position there are 28 possibilities.

<span>For the 2nd position there will be 27 possibilities left.</span>

For the 3rd position there will be<span> 26 possibilities left</span><span>.
</span>
For the 4th position there will be 25 possibilities left<span>.
</span>
For the 5th position there will be 24 possibilities left<span>.
</span>
For the 6th position there will be 23 possibilities left<span>.
</span>
Total = 28*27*26*25*24*23 = <span>271,252,800</span>

C. 271,252,800
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8 0
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Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is
mart [117]
There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property:  7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.
7 0
3 years ago
What exponential function is the best fit for the data in the table?
gogolik [260]
Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
6 0
3 years ago
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What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?
ch4aika [34]
3,6,12...

this is a geometric sequence with a common ratio of 2. That means u multiply each term by 2 to find the next term.

start with 3
3 * 2 = 6
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so ur answer is : multiply by 2
8 0
3 years ago
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