To answer the question above, we will have to use some calculus approach to this problem.
<span>volume of sphere = (4/3)(pi)(radius^3) = (4/3)(pi)(9^3) = 972pi </span>
<span>mass = (density)(volume) = (972pi)(1,000) = 972,000pi </span>
<span>force = (mass)(acceleration or gravity here) = (972,000pi)(9.8) = 9,525,600pi </span>
<span>work = (force)(distance) = (9,525,600pi)(4.5) = 42,865,200pi J
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I hope my answer helped you with your problem
70%
i found that by just multiplying 50 by .7
Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
