4. Two hockey players, Sid and Alex, each independently take a penalty shot. The odds of Sid scoring are 5:3 in favor. The odds of Alex scoring are 1:2
against
a
Determine the probability that Sid scores
5:3 = 5/8
b. Determine the probability that Alex scores
1:2 = 1/3 against Alex, so its
2/3
in favourof Alex
C. Draw a probability tree diagram and determine the probability that
i. Both score
ii. Both miss
iii. Only one scores
iv. At least one scores

The volume of a cube is 8 in to the 3rd power. how long is each side?

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.