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xenn
2 months ago
11

A tobacco company claims that the amount of nicotine in its cigarettes is a randomvariable with mean 2.2 mg and standard deviati

on .3 mg. However, the sample mean nicotine content of100 randomly chosen cigarettes was 3.1 mg. What is the approximate probability that the sample meanwould have been as high or higher than 3.1 if the company’s claims were true?
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
8 0

Response:

0.0000

Unusual

To explain step-by-step:

A tobacco company asserts that the nicotine content in its cigarettes behaves as a random variable with a mean of 2.2 mg and a standard deviation of.3 mg.

This means the population parameters are

\mu =2.2 \\s = 0.3

The likelihood that the sample average would equal or exceed 3.1

=P(X\geq 3.1)\\=P(Z\geq \frac{3.1-2.2}{\frac{0.3}{\sqrt{100} } } )\\=P(Z\geq 30)\\

equals 0.0000

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A company purchased a delivery van for $28,000 with a salvage value of $3,000 on September 1, Year 1. It has an estimated useful
Svet_ta [12734]

Response:

Depreciation as of December 31, Year 1 will amount to $1,250

Detailed explanation:

Cost of Purchase = $28,000

Salvage Value = $3,000

Total Depreciation:

The total depreciation over 5 years (60 months) is calculated as Purchasing Cost minus Salvage Value

Total Depreciation over 5 years (60 months) = 28,000 - 3,000

Total Depreciation over 5 years (60 months) equals $25,000

Calculating Monthly Depreciation:

Monthly depreciation is derived from the overall depreciation divided by the total number of months as follows:

Total Depreciation for a single month = 25,000/60

Depreciation per month = 416.67$ (Monthly Depreciation)

Depreciation until December 31, Year 1

As this spans from September 1 to December 31 of Year 1, three months have passed, yielding total depreciation = 3 * Monthly Depreciation

Thus, Depreciation as of December 31, Year 1 = 3 * 416.67

Total Depreciation by December 31, Year 1 = $1,250

4 0
1 month ago
Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an e
babunello [11817]

Answer:

Katherine will create at least 8 playlists. Each of these will feature 4 pop songs and 9 rock songs.

Detailed Explanation:

Katherine has a library of 32 pop songs and 72 rock songs on her mp3 player. She intends to distribute these into playlists, ensuring an equal count of pop and rock songs in each.

To determine the minimum number of playlists, we find the GCF of the two numbers provided.

For 32, we can express it as 2^5, and 72 can be described as 2^3*3^2

Thus, the GCF for the two figures is 2^3, equaling 8.

Consequently, she will generate 8 playlists, with each containing 4 pop songs and 9 rock songs.

6 0
2 months ago
Fredric worked 46 hours last week. his hourly rate is $8.50. What was his gross pay?
lawyer [12517]

Answer:

$391

Step-by-step explanation:

4 0
1 month ago
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