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bixtya [17]
3 years ago
6

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

C_{15,8} = \frac{15!}{8!(15-8)!} = 6435

The exam can be answered with exactly 8 answers correct in 6435 ways.

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Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The
den301095 [7]

The geometric mean of the numbers is 5.38

Given the values a, b, c and d

Geometric mean of the values will be expressed as:

GM = (abcd)^1/4

Given the values 4, 5, 6 and 7, the geometric mean will be expressed as:

GM = (4×5×6×7)^1/4

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Learn more: brainly.com/question/23875011

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3 years ago
rudie earn 942 each month. last month gis fixed expense month were 625 and his variable expenses were 259. how much did he save
mel-nik [20]

Answer:

He saved 58 last month.

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7 0
3 years ago
a basket of oranges weighs 25lb 3oz. The empty basket weighs 1lb 4oz. What is the weight of the oranges?​
marysya [2.9K]

Answer:

383 Oz, or 23.9375 Ibs

Step-by-step explanation:

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3 0
2 years ago
Please help me thanks
Harlamova29_29 [7]

Answer:

5\frac{7}{8}

Step-by-step explanation:

You subtract all those distances from 22 to calculate the remaining distance.

22-4\frac{3}{4}= 17\frac{1}{4}

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(Yes I did these in my head)

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3 years ago
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