we are given
Firstly, we will change it into standard equation of circle
that is
where r is radius
(h,k) is center
now, we can change our equation into this form
To change our equation into this form, we need to complete x square and y square
step-1: Move 2 on right side
step-2: Complete x square
step-3: Complete y square
step-4: Combine right side terms
now, we can compare with our equation
and we will get
radius =r=6...............Answer
center=(h,k)=(3,-5)........................Answer
Test to see how many boxes of Lucky Chocolate Oat Crunch need to be purchased to collect all eight dinosaurs. Use the spinner provided to simulate the purchase of the cereal boxes. Each time the spinner is spun, it represents the purchase of one cereal box. As you spin, you will need to keep track of your results. You will use the results to compute the experimental probability, which you will compare with the theoretical probability. Use the spinner below to determine how many boxes of cereal you might need to purchase to collect all eight dinosaurs. Continue until the spinner has landed on each dinosaur once. Be sure to stop spinning once the spinner has landed on each dinosaur one time. Each number on this spinner represents a different dinosaur. You need to complete the simulation three times. That is, after each dinosaur has been spun one time, record your results. Then, create a new chart for the next set of results. When you are finished, you will have three sets of data that will most likely not match.
(ALREADY COMPLETED THIS PART, THE CHARTS ARE BELOW)
Use all three sets of data to answer the following questions in complete sentences. For this exercise, the probabilities refer to the probability of getting any one dinosaur when making any one purchase. You do not need to determine the probability of the compound event of getting all eight of the dinosaurs. Make sure to have all three simulations done to help you answer these questions in the writer's box:
(NEED HELP WITH THIS. ANSWERED A FEW ALREADY, NEED HELP WITH THE ONES SHOWN)
1. How does the number of spins correlate to the number of boxes of cereal that you would need to purchase?
2. What was the experimental probability for EACH dinosaur from Trial 1? Trial 2? Trial 3?
3. How does the experimental probability of getting each dinosaur differ from the theoretical probability? Here, you are comparing the experimental vs. theoretical probability of getting each type of dinosaur in a single purchase. In other words, you are determining the probability for a single event, not a compound event.
4. If someone bought eight boxes of cereal and got all eight dinosaurs, would you be surprised? Why or why not?
5. How did the experimental probabilities change between the trials?
6. What are the advantages of using a simulation versus actually buying boxes of cereal?
have you finished this yet? im doing it rn and i need help on some of them. if you havent i can help you with a couple answers
Answer:
As per the statement:
The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.
We draw the figure for this problem as shown below:
Height of the lighthouse(BC) = 100 foot
Angle of depression = 20 degrees.
Since, angle of depression is equal to the angles of elevation
i.e,
using tangent ratio:
Here,
Opposite side = BC = 100 foot
Adjacent side = AB
Angle of elevation:
Substitute these to solve for AB:
or
Simplify:
AB = 294.375362123 foot
Therefore, the distance to the boat approximately is 294.4 foot
By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.
In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.
Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).
Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.
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