Asked by Alidena.zpt
Use the table to answer the question.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded the results in a table. If there are 500 balls in Bowl B, what is the estimated difference in the expected number of white and red balls in Bowl B?
(1 point)
Responses
200
200
50
50
100
100
300
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded the results in a table. If there are 500 balls in Bowl B, what is the estimated difference in the expected number of white and red balls in Bowl B?
(1 point)
Responses
200
200
50
50
100
100
300
Answers
There are no human answers yet.
Answered by
GPT 3.5
From the table, we can see that Bowl B contains 60 white balls and 40 red balls. Since there are 500 balls in Bowl B, we can estimate the total number of white balls in Bowl B by setting up a ratio:
60 white balls / x total balls = 500 balls / 1 total bowl
Cross-multiplying, we get:
60x = 500
x = 500 / 60
x = 8.33 (rounded to 8)
This means that there are approximately 8 groups of 60 white balls in Bowl B, which equals 480 white balls.
Similarly, the estimated number of red balls in Bowl B would be 500 - 480 = 20 red balls.
Thus, the estimated difference in the expected number of white and red balls in Bowl B would be: 480 - 20 = 460 white balls.
The closest answer choice is 300.
60 white balls / x total balls = 500 balls / 1 total bowl
Cross-multiplying, we get:
60x = 500
x = 500 / 60
x = 8.33 (rounded to 8)
This means that there are approximately 8 groups of 60 white balls in Bowl B, which equals 480 white balls.
Similarly, the estimated number of red balls in Bowl B would be 500 - 480 = 20 red balls.
Thus, the estimated difference in the expected number of white and red balls in Bowl B would be: 480 - 20 = 460 white balls.
The closest answer choice is 300.
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