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Murrr4er [49]
3 years ago
11

Evaluate log3 (8), given log3 (2) ≈ 0.631

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer: 1.893 Welcome

Step-by-step explanation:

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A letter is chosen from the word shown.
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The following items appear on the balance sheet of a company with a
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Answer: 1. C,  2. C

Step-by-step explanation:

Salaries payable is C (a Current Liability) This is so because the company owes salaries to its workers which were left unpaid as at the end of the year. This amount is reported on the balance sheet as one of the company's current liabilities.

2. Current portion of a long term debt is C(a current liability) This is so because the amount of the loan principal that will be due within one year of the date of the balance sheet is yet to be paid. This amount is reported on the balance sheet as one of the company's current liabilities.

4 0
3 years ago
2.According to www.city-data, the mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know t
igor_vitrenko [27]

Answer:

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean price for a detached house in Franklin County, OH in 2009 was $192,723. Suppose we know that the standard deviation was $42,000.

This means that \mu = 192723, \sigma = 42000

Sample of 75:

This means that n = 75, s = \frac{42000}{\sqrt{75}}

What is the probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009?

1 subtracted by the p-value of Z when X = 190000. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{190000 - 192723}{\frac{42000}{\sqrt{75}}}

Z = -0.56

Z = -0.56 has a p-value of 0.2877

1 - 0.2877 = 0.7123

0.7123 = 71.23% probability that a random sample of 75 detached houses in Franklin County had a mean price greater than $190,000 in 2009.

5 0
3 years ago
20 POINTS What is the area of the figure pictured below? the figure is not drawn to scale :)
Lostsunrise [7]

Answer:

b. 158cm^2

Step-by-step explanation:

A=(b)(h)

(7)(17)=119

A=1/2(b)(h)

1/2(6)(13)=39

119+39=158

8 0
3 years ago
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