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goblinko [34]
3 years ago
8

1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . . Notice that the denominator of each fraction in the sum is twice the denominator t

hat comes before it. If you continue adding on fractions according to this pattern, when will you reach a sum of 2?
Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

a_1=1\\ q=\dfrac{1}{2}

|q| therefore, the sum of this infinite geometric series can be calculated using the formula S=\dfrac{a}{1-q}.

So, S=\dfrac{1}{1-\dfrac{1}{2}}=\dfrac{1}{\dfrac{1}{2}}=2

If 2 is the sum of this infinite series, then you'll never reach it.

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A regression analysis between sales (in $1000) and advertising (in $) resulted in the following least squares line: Y= 32 + 8X.
goblinko [34]

Answer:

Step-by-step explanation: This is a question under linear regression analysis.

The question is trying to relate sales (in $1000) and and advertising.

Both sales and advertising are variables and are connected by the equation

Y = 32x + 8

Which is a linear regression equation of 2 variables.

Where x is the independent variable which represents advertising in this case and Y is the dependent variable which represents sales.

At $1 of adverts, we have $40 of sales.

We just simply put the fact that x = $1 (advertising) into the linear regression equation, we have the value of Y ( sales)

Y = 32(1) + 8

Y = 32 + 8

Y = $40.

3 0
3 years ago
What is the value of x? 6x−2(x+4)=12 Enter your answer in the box.
xeze [42]
<span>6x−2(x+4)=12
6x - 2x - 8 = 12
4x = 20
  x = 5</span>
8 0
3 years ago
Read 2 more answers
Marley has marbles of the same size and shape in a bag. There are 2 green, 5
mars1129 [50]

Answer:

B.) 1/15

Step-by-step explanation:

  1. 10 total marbles
  2. 3/10 - 1/1 = 2/9
  3. 3/10 × 2/9 = 1/15
6 0
3 years ago
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartbo
pentagon [3]

Answer:

Pls varienton of trigonometric position

Step-by-step explanation:

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cfrac%7B5%7D%7B4%7D%20" id="TexFormula1" title="2 \times \frac{5}{4} " alt="2
podryga [215]

Answer:

=  \frac{5}{2}  = 2 \frac{1}{2}

Step-by-step explanation:

2 \times  \frac{5}{4}

2 \div 2 \times  \frac{5}{4 \div 2}

\boxed{\green{=  \frac{5}{2}  = 2 \frac{1}{2} }}

3 0
3 years ago
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