All categories

3 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

Answer:

1.25.

Step-by-step explanation:

The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity = a1 / (1 - r)

= 1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

Stolb23 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

1.25

You might be interested in

Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing

Marysya12 [62]

There are 10 chips altogether. 4 of them are white.
4/10 is the chance of lifting out a white chip
There are 3 of them left and 9 chips altogehter.
4/10 * 3/9
12/90
4/30
2/15

Comment
(my edit) it is not that 2/15 is wrong (although it is not entirely right).
1/3 is the correct answer if you assume that what happened during the first draw has nothing to do with what will happen on the second. It is like saying if you throw 11 heads in a row with a fair coin, what are the chances of throwing a heads on the 12th throw? The answer is 1/2. That is the same kind of question you have asked.

The two of us who have responded have really responded to what are the chances of drawing 2 white chips. The question really does not restrict us in a way that prevents us from saying that. I'll stick with
B <<<< answer
but I think it would be nice if the writer of the question made it clear that 1/3 should be the proper answer. I am glad you came back and posted the right answer. It makes me think.

The semi right answer is B <<<<----

If my reasoning bothers anybody, I'll reedit again. I'm only leaving it because sometimes a mistake is more instructive than a given answer.

5 0

3 years ago

Read 2 more answers

the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers

notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

$y = k * x$

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

$476 = k * 17$

From here, we clear the value of k:

$k = \frac{476}{17}\\k = 28$

Therefore, the relationship is:

$y = 28x$

For 1428 kilometers we have:

$1428 = 28x$

Clearing the amount of fuel we have:

$x = \frac{1428}{28}\\x = 51$

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0

3 years ago

Please find the missing side of this triangle

Strike441 [17]

The answer is 15.01

First you need to find the other angle of the triangle so you do 90+25 which gives you 115 and subtract that by 180 because all angles of a triangle add up to 180. That gives you 65 then you will use TAN(65) and get 2.144506920509559 which you will then multiple by 7 to get 15.01154844356691 which you then round to get 15.01!

7 0

2 years ago

What is the approximate volume of the cone?

Vlad [161]

Volume=1/3π<span>×</span>r²×h^(Applies for any "right cone")^
Therefore your answer would be
A.1206 cm³

8 0

3 years ago

Read 2 more answers

What does 1+1 equal i need help

masya89 [10]

The answer is 2 duh but it also equals window :)

3 0

2 years ago