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1 answer:
Answer:
about 10,652 balls
Step-by-step explanation:
The length of the court is 94 ft × 12 in/ft = 1128 in. That is 1128/8.5 ≈ 132.7 times the diameter of a ball.
The width of the court is 50 ft × 12 in/ft = 600 in. That is 600/8.5 ≈ 70.6 times the diameter of a ball.
When the balls are hexagonally packed, their row spacing is only (√3)/2 ≈ 0.866 times the ball diameter, so by cutting out one ball per row on alternate rows, about 15% more rows can be put in place. That is, there can be 81 rows of balls, alternating between 132 and 131 balls per row.
The number of balls that fit in that arrangement is ...
132×81 - 40 = 10,652
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Since there is some extra space beyond the last row, the balls can be "randomized" and a few more balls added, probably at least 2 or 3.
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Answer:
He must survey 123 adults.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is:
Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that
90% confidence level
So , z is the value of Z that has a p-value of
, so
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How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. So
Rounding up:
He must survey 123 adults.
Answer:
24 square inches
Step-by-step explanation:
the explanation is in the picture
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