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Inga [223]
3 years ago
6

Can someone help please? ​

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

x^{2}  + 2x =6\\\\x^{2} +2x + 1^{2}  = 6 + 1^{2} \\\\(x+1)^{2} =  (\sqrt{7})^{2}

x+1 = \sqrt{7}

x = -1 ± \sqrt{7}

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Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to
konstantin123 [22]

Answer:

C. 47.5%

Step-by-step explanation:

The  summary of the given statistics include:

mean =150000

standard deviation: 1200

The  objective is to use tributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid: between $150,000 and $152,400

The z score formula can be use to calculate the percentage of the buyer who paid.

z = \dfrac{X - \mu}{\sigma}

For the sample mean x = 150000

z = \dfrac{150000 - 150000}{1200}

z = \dfrac{0}{1200}

z = 0

For the sample mean x = 152400

z = \dfrac{152400 - 150000}{1200}

z = \dfrac{2400 }{1200}

z  = 2

From the standard normal distribution tables

P(150000 < X < 152400) = P(0 < z < 2 )

P(150000 < X < 152400) =P(z<2) -P(z<0)

P(150000 < X < 152400) =0.9772 -0.5

P(150000 < X < 152400) = 0.4772

P(150000 < X < 152400) = 47.7%  which is close to 47.5% therefore option C is correct

3 0
3 years ago
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