Answer: 3/55
Step-by-step explanation:
From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.
If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.
Therefore, the probability he will win a prize on both picks will be:
= 3/11 × 2/10
= 6/110
= 3/55
Answer: 
Step-by-step explanation:
You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:

You know that:

Then KE is:



Now you can substitute the value of KE and the value of KH into
and solve for JK. Then the result is:
Answer:
30 centimeters
Step-by-step explanation:
12 times 2.5 = 30
Answer: 4/45
Step-by-step explanation:
To find the answer, to convert a improper into mixed, first take the denominator (9) and find how many times it can go into the numerator (16) FULLY. The answer is 1 time. 1 is the whole number. Then whatever is leftover is the new numerator, and the old denominator is the same. So your answer is 1 7/9
Hope this helps!