Heart 1 is translated 3 units down to heart 2. Which shows this transformation?
2 answers:
Answer:
Image IV
Step-by-step explanation:
We are given that
Heart 1 is translated 3 units down to heart 2.
We have to find the image which shows this transformation.
The translation rule when a figure is shift 3 units down is given by
The coordinates of a point lie on heart are (-2.5,3)
After translation 3 units, the coordinates of corresponding point which lie on the heart
Therefore,the heart shift from II quadrant to III quadrant.
Image I is not true because the heart 1 shift to heart 2 in quadrant III not in IV quadrant.
In image II ,the corresponding point of the point (-2.5,3) is (-2.5,-3).
Image II is not true because the corresponding point is (-2.5 ,0) not (-2.5,-3).
Image III is not true because heart 2 should be in quadrant III not in quadrant I after translation 3 units down of heart 1.
Image IV is true because the corresponding point of the point (-2,5,3) is (-2.5,0) and heart 2 lies in quadrant III.
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Answer:
a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.
c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.
Step-by-step explanation:
There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.
Binomial probability
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem, we have that:
10 student are sampled, so
34% of college students say they use credit cards because of the rewards program, so
(a) exactly two
This is P(X = 2).
There is a 18.73% probability that exactly two students use credit cards because of the rewards program.
(b) more than two
This is .
Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:
In which
So
There is a 71.62% probability that more than two students use credit cards because of the rewards program.
(c) between two and five inclusive
This is:
There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.