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Natalija [7]
3 years ago
11

At a certain real estate firm, realtors selling homes receive a commission of: 7% for the first $100,000 of the selling price, a

nd 6% for any amount exceeding $100,000. A realtor for the firm received $7,540 for selling a house. What was its selling Commision 71. (100,000+ 31. (X - The house sold for $ price?
Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer: The actual price of house sold at $109000.

Step-by-step explanation:

Since we have given that

Selling price = $100000

Rate of commission = 7%

So, Amount of commission would be

\dfrac{7}{100}\times 100000\\\\\=\$7000

Total commission = $7540

So, Remaining amount of commission would be

\$7540-\$7000\\\\=\$540

Rate of commission exceeding $100000 = 6%

Let the selling price of house be 'x'.

According to question,

\dfrac{6}{100}\times x=540\\\\0.06x=540\\\\x=\dfrac{540}{0.06}\\\\x=\$9000

Hence, the actual price of house sold at

$100000+$9000=$109000.

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Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

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At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

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The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

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In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

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The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

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