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guajiro [1.7K]
3 years ago
14

The vertices of figure BCDE have coordinates B(4, 4) , C(−4, 4), D(−4, −4) , and E(4, −4) . The vertices of figure B'C'D'E' have

coordinates B'(2, 6) , C′(−6, 6), D′(−6, −2) , and E′(2, −2) . Which transformation of ​ figure BCDE ​ produces ​ figure B'C'D'E' ​ ? a translation 2 units right and 2 units down a reflection across the x-axis a translation 2 units left and 2 units up a reflection across the y-axis
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0
The transformation used was a translation because the numbers changed. Since the x is becoming a smaller number the figure is moving to the left and since the y is getting larger the figure is also moving up. So the answer is: translation, 2 units to the left and 2 units up
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The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

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