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TEA [102]
3 years ago
5

A certain builder is selling five homes for the following prices: $157,000, $168,000, $195,000, $235,000, and $256,000. If the p

rice of the most expensive home is increased $10,000, which of the following statements best describes the change in the mean and the median of the home prices?
Mathematics
1 answer:
N76 [4]3 years ago
6 0
Answer: $266,000

Explanation: $256,000 + $10,000 = $266,000
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The ground, the building and the line of sight between the ground camera and the top of the building form right triangle with hypotenuse equal to 45 feet and angle adjacent to this hypotenuse and ground - 50°. The building is an opposite leg to the given angle, then you should write sine function:

\sin 50^{\circ}=\dfrac{height}{45} \\ \\ 0.766=\dfrac{height}{45}\\  \\ height=45\cdot 0.766=34.47.

The answer to the nearest tenth of a foot is 34.5 feet

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What is the formula for the nth term of the given sequence? -17, -8, 1
Citrus2011 [14]

Answer:

The n^{th} term of A.P sequence

tₙ = 9 n - 26

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given sequence

                   - 17 , -8 , 1 .......

first term   = -17

Second term =  - 8

The difference of first two terms

                        d = - 8 -(-17) = -8+17 = <em>9</em>

The difference of next two terms

                        d = 1 - (-8) = 1+8 =   9

∴ The given sequence is  in A.P ( Arthimetic progression)

<u><em>Step(ii):-</em></u>

The n^{th} term of A.P sequence

                t_{n}  = a + ( n-1 ) d

Given a = - 17 and  d = 9

                t_{n}  = -17 + ( n-1 ) 9 = - 17 + 9 n -9 = 9 n - 26

<u><em>Final answer</em></u>:-

The n^{th} term of A.P sequence

tₙ = 9 n - 26

4 0
2 years ago
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