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Oksi-84 [34.3K]
3 years ago
5

Last week, 108 cars received parking violations in the main university parking lot. Of these, 27 had unpaid parking tickets from

a previous violation. Assuming that last week was a random sample of all parking violators, find the 95 percent confidence interval for the percentage of parking violations that have prior unpaid parking tickets.
Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

95 percent confidence interval

[0.208,0.29166]

Step-by-step explanation:

First we identificate the sample proportion p = 27 /108, and we find the 95 percent confidence interval for P(population proportion) in this context the parking violations that have prior unpaid parking tickets.

Then α = 0.05 and 1 - α/2 = 0.975

Thus Z_{0.975} = 1.96

The 95 percent confidence interval is

[ p ± 1.96 \sqrt{\frac{p(1-p)}{n} } ]

[0.25  ± 1.96 \sqrt{\frac{0.25*0.75}{108} } ]

[0.208,0.29166]

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<h3>What is the  integer represents Omar’s score?</h3>

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Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of pape
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Answer:

Option C. is the correct option.

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.

Cone with diameter six inches and slant height eight inches.

What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.

A.  About 70 in2; Aubrey found the surface area of the cone, but did not include the base.

B.  About 70 in2; Aubrey used the diameter instead of the radius to find the surface area of a cone.

C.  About 75 in2; Aubrey found the surface area of the cone and included the base.

D.  About 75 in2; Aubrey found the volume of the cone instead of the surface area.

Lateral surface area of a cone = Paper required to for each hat

Lateral surface area = πrl

Here r = radius of the cone

l = lateral height of the cone

Lateral surface area = π(3)(8)

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Therefore, total paper required for each cap is about 75 square inches.

Total surface area of the cone (Lateral area + Area of the base)

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Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.

Therefore, option C. is the correct option.

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3 years ago
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