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2 years ago

7

The property tax on a house, t, is directly proportional to the assessed value, v. If the tax on the house with an assessed valu

e of $155,000 is $2325, find the property tax on a house with an assessed value of $210,000.?

1 answer:

Brut [27]2 years ago

8 0

Answer:

3150

Step-by-step explanation:

2325/155,000 = 0.015 = 1.5%

210,000 x 1.5% = 210,000 x 0.015 = 3150

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2 years ago

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

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As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

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∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

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