Read the statement given below and choose which of the following arguments proves that the statement is false.
1 answer:
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Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
--- cosine formula i.e. adj/hyp
Solve for y
In radical form, we have:
To solve for x, we make use of Pythagoras theorem
Substitute for y
Collect like terms
Solve for x
For this case we have the following inequality:
3y - 2x> 8
The first thing we should do is to graph the function.
Then, see the set of points that are the solution of the inequality.
The solution set is given by the shaded region.
See attached image.
Answer:
Shaded region.
See attached image.
3y - 2x> 8
The first thing we should do is to graph the function.
Then, see the set of points that are the solution of the inequality.
The solution set is given by the shaded region.
See attached image.
Answer:
Shaded region.
See attached image.
Answer:
He expects that his bonus will be $210,000.
Step-by-step explanation:
For each plate appearence, there are only two possible outcomes. Either he gets on base(base hit or bases-on-balls), or he does not. The probability of getting on base on each plate appearence is independent of other plate appearences. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
600 plate appearances this year
So n = 600.
Expected number of hits
So
Expected number of base on balls.
So
Bonus
$1,000 for each hit and $100 for each base-on-balls he gets.
200*1,000 + 100*100 = 210,000
He expects that his bonus will be $210,000.