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olya-2409 [2.1K]
2 years ago
12

You want to estimate the mean number of sentences in a magazine advertisement.How many magazines advertisements must be included

in the sample if you want to be 95% confident that the sample mean is within one sentence of the population mean
Mathematics
1 answer:
saul85 [17]2 years ago
3 0

Complete question:

You want to estimate the mean number of sentences in a magazineadvertisement. How many magazine advertisements must beincluded in the sample if you want to be 95% confident that thesample mean is within 1 sentence of the population mean ? (sigma =5)

Answer:

96

Step-by-step explanation:

We have level of confidence = 95%

Alpha = 1-0.95

= 0.05

Alpha/2 = 0.025

Z-alpha/2 = 1.96

E = margin of error = 1

For this question the formula to derthe sample size is given as:

n = [(Za/2 x sigma)/E]²

n = (1.96 x 5/1)²

n = 9.8²

= 96.04

So 96 magazines advertisement must be included in the sample to be 95% confident.

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What is the mean deviation of the following numbers 2 4 6 8 10 12​
olga nikolaevna [1]

Step-by-step explanation:

mean is always equal to additon of total no.s by total no.s

2 + 4 + 6 + 8 + 10 + 12

=42

total no.s = 6 no.s

42/6

=7

therefore 7 is the answer which is the mean deviation of the following no.s .

3 0
3 years ago
Thomas’s gross salary in 2017 was $68,000. If he qualifies for an $8,350 exemption when filing his taxes, how much does he owe f
aalyn [17]

Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

5 0
3 years ago
A collection of quarters and dimes has a total value of$5.00 and contains 32 coins. How many of each kind of coins are there in
vaieri [72.5K]

9514 1404 393

Answer:

  12 quarters

  20 dimes

Step-by-step explanation:

If all were dimes the value would be $3.20. It is $1.80 more than that. Each replacement of a dime with a quarter adds $0.15 to the value, so there must be $1.80/$0.15 = 12 such replacements.

There are 12 quarters and 20 dimes.

_____

Let q represent the number of quarters.

  0.25q +0.10(32 -q) = 5.00 . . . . . total value

  0.15q +3.20 = 5.00 . . . . . . . . . simplify

  q = (5.00 -3.20)/0.15 . . . . . . subtract 3.20 and divide by 0.15

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8 0
2 years ago
Simplify 6/10X^2 divided by 6/10^3 -60^2
CaHeK987 [17]
Answer: x - 6


Explanation:

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= \cfrac{6}{10x^2}  \times  \cfrac{10x^2(x - 6)}{6}

= x - 6
7 0
3 years ago
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