PLEASE HELP!! will mark brainliest!
1 answer:
Answer:
1. Hypothesis: The ball is red
Conclusion: It will bounce higher
Converse: If the ball bounces higher, then it is red
2. Hypothesis: A plane contains two lines
Conclusion: They are coplanar
Inverse: If two lines are in a planes, then they are coplanar
3. Hypothesis: The light does not come on
Conclusion: The circuit is broken
Inverse: If the circuit is broken, then the light does not come on
4. Hypothesis: It is cold outside
Conclusion: You must wear your jacket
Inverse: If you must wear your jacket, then it is cold outside
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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.
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that
sin(2α) = 2 sinα cosα
So,
See what you can do with the others.