A spinner is divided into five sections, labeled A, B, C, D, and E. Devon spins the spinner 50 times and records the results in
the table.
Based on the table above, make a prediction for 200 trials.
Choose how you will answer this question below. Then, answer the question.
How many times will the pointer land on a vowel? (The vowels in this table are A and E.) Answer in complete sentences. Be sure to explain how you found your answer. Include calculations if necessary.
Based on the table above, make a prediction for 200 trials.
Choose how you will answer this question below. Then, answer the question.
How many times will the pointer land on a vowel? (The vowels in this table are A and E.) Answer in complete sentences. Be sure to explain how you found your answer. Include calculations if necessary.
1 answer:
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Answer:
100
Step-by-step explanation:
Forming algebraic equations and solving:
Let the number of boys originally at the stop = 'x'
Let the number of girls originally at the stop = 'y'
25 girls get on the first bus.
⇒ The number of girls now at the stop = y -25
Ratio of boys to girls:
(I)
15 boys get on the second bus.
Now, the number of boys at the stop = x - 15
Number of girls at the stop = y - 25
Ratio of boys to girls,
x = y -25 + 15
x = y - 10
Plugin x = y - 10 in equation (I)
2*(y-10) = 3y -75
2y - 20 = 3y -75
-20 = 3y - 75 - 2y
-20 = y -75
-20 +75 = y
Plugin y = 55 in equation (I)
x = 55 -10
Number of students originally at the stop = x + y
= 55 + 45
= 100