"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"
1 answer:
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:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
"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
The exam can be answered with exactly 8 answers correct in 6435 ways.
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Anwers:
1. line A
2. line D
3. line B
4. line C
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the original function:
f(x) = 10x
and g(x) = a · 10x is the general from of all transformed functions from the above original function.
- p(x) = 4 · 10x
The graph of this function is stretched vertically => line A
- q(x) = –4 · 10x
The graph of this function is stretched vertically and is reflected through the x-asix => line D.
- r(x) = (1/4) x 10x
The graph of this function is compressed vertically => line B
- s(x) = (-1/4) x 10x
The graph of this function is compressed vertically and is reflected through the x-asix => line C
Hope it will find you well.
