Tanya drives to work every day and passes two independently operated traffic lights. The probability that both lights are red is 0.55. The probability that the first light is red is 0.69. What is the probability that the second light is red, given that the first light is red? A. 0.83
B. 0.75
C. 0.80
D. 0.73

Step-by-step explanation: Call A to the event that represents a red light at the first traffic light Then, call B the event that represents a red light at the second traffic light. Then we know that: P(A∩B) = 0.55 P(A) = 0.69 Then the probability that the second light is red because the first one is red is: Then: There is a 79.7% chance that the second light is in red

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.