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irga5000 [103]
2 years ago
12

50 POINTS!!!!!!

Mathematics
1 answer:
spin [16.1K]2 years ago
3 0
Answer:
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.
-------------------
Explanation:

Theoretical probability is the mathematically calculated probability of the circumstances occurring. 

There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.

Since the question asks for the possibility of both happening, multiply those together to find the probability:

\frac{1}{2} *   \frac{1}{2} =  \frac{1}{4}

The theoretical probability of rolling an even number and then flipping a head is 1/4.

Now we'll focus on Taka's trials.

Experimental probability is the probability that is taken from results of a trial.

Take the results, and see if they match the criteria of rolling an even number and flipping heads.

The results that are bolded fit the criteria:
<span>1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
</span>
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6.
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Seiji and Gavin both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How m
schepotkina [342]
S + g = 425
g = s + 25
-----------------
We will use the method of substitution:
s + s + 25 = 425
2 s = 425 - 25
2 s = 400
s = 400 : 2
s = $425
g = 200 + 25
g = $225
Answer: Seiji earned $200 and Gavin earned $225.
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2 years ago
What type of triangle is a 45-45-90 triangle?
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The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of th
Nataly_w [17]

Answer:

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Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

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* Now lets solve the problem

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∵  (x – h)² + (y – k)² = r² and  (x + 3)² + (y - 5)² = 81

# x - h = x + 3

∴ -h = 3 ⇒ divide both sides by -1

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# y - k = y - 5

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# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

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