9 Given: p + q = 25. r + s = 25. q = r. Prove: p=s
1 answer:
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To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:
So, the graph of the dilated triangle is shown in the Figure below
Answer:
0.688 or 68.8%
Step-by-step explanation:
Percentage of high school dropouts = P(D) = 9.3% = 0.093
Percentage of high school dropouts who are white = = 6.4% = 0.064
We need to find the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old. This is conditional probability which can be expressed as: P(W | D)
Using the formula of conditional probability, we ca write:
Using the values, we get:
P( W | D) =
Therefore, the probability that a randomly selected dropout is white, given that he or she is 16 to 17 years old is 0.688 or 68.8%