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frez [133]
3 years ago
11

Please try and help me with this question I need help

Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0
B) an=5^n−1
d) an=10^n−1
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A cylindrical canister contains 3 tennis balls. Its height is 8.75 inches and its radius is 1.5. The diameter of one tennis ball
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Find Volume of 1 tennis ball:----------------------------------------------Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
----------------------------------------------Find Volume of 3 tennis balls:----------------------------------------------Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
----------------------------------------------Find Volume of teh cylindrical canister:----------------------------------------------Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
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A random sample of 200 voters in a town is selected, and 114 are found to support an annexa- tion suit. Find the 96% confidence
EastWind [94]

Answer:

a) 96% CI: 0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

Step-by-step explanation:

The proportion of the sample is

p=\frac{114}{200}=0.57

The standard deviation of the sample proportion is

\sigma=\sqrt{\frac{p(1-p)}{n} } =\sqrt{\frac{0.57(1-0.57)}{200} } =\sqrt{\frac{0.2451}{200} } =0.035

For a 96% CI, the z-value is z=1.751.

Then, the 96% CI can be written as:

p-z\cdot \sigma\leq\pi\leq p+z\cdot \sigma\\\\0.57-1.751*0.035\leq\pi\leq 0.57+1.751*0.035\\\\0.57-0.06\leq\pi\leq 0.57+0.06\\\\0.51\leq\pi\leq 0.63

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.

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3 years ago
HELP ME PLZ<br>jplz answer ill give branily ​
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The answer should be 0 I’m not sure tho
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