Answer: x=11.67
<u>Step 1</u>
Use the following equation to find x. We can use this equation because Triangle 1 (triangle within triangle ABC) and Triangle 2 (triangle ABC) are proportional and we can use the system of equations below to create and equation.
<u>Step 2</u>
We can then use the equation below by cross multiplying the previous equation in step 1.
12x= 9x+35
<u>Step 3</u>
Then solve the equation to find x!
12x=9x+35
3x=35
x=11.67 (rounded to the nearest hundredth)
when solving for y
y = -7x/3-6
so y does not vary directly with x
the answer is no
I believe the answer is x=-14
Part (a)
The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26
<h3>Answer: 0.26</h3>
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Part (b)
Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3
<h3>Answer: 0.3</h3>
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Part (c)
<h3>Answer: Choice A) </h3>
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.
If you divide the 2 in 3 you get .6 and if you divide 2 in 5 ou get ,4 now add them you and get 1 now add that 1 to 30 your answer should be 31
