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3 years ago

Which equation represents the formula for the general term, gn, of the geometric sequence 3, 1, 1/3, 1/9, . . .?

Mathematics

1 answer:

Ulleksa [173]3 years ago

3 0

By dividing each general term by 3.

Example:

(3/3=1)

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The number forty one to the power of negative start fraction two over five end fraction end power can be written in the form sta

Fantom [35]

From the description we can infer that we have the expression: $41^{- \frac{2}{5} }$ .
Now, to write our expression as a as a root, we are going to apply the law of exponents: $x^{-n}= \frac{1}{x^n}$ first
$41^{- \frac{2}{5} }= \frac{1}{41^{ \frac{2}{5} }}$

Next, we are going to apply the law about fractional exponents: $x^{ \frac{m}{n}}= \sqrt[n]{x^m}$
$\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }$

We can conclude that the value of B is 2.

3 0

3 years ago

If the life in years of a television set is normally distributed with a mean of 36 years and a standard deviation of 8 years wha

TiliK225 [7]

Answer:

The company should guarantee a lifetime of less than equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 36 years

Standard Deviation, σ = 8 years

We are given that the distribution of life of television sets is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.03.

$P( X < x) = P( z < \displaystyle\frac{x - 36}{8})=0.03$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 36}{8} =-1.881\\\\x = 20.952\approx 20.95$

Thus, the company should guarantee a lifetime of less than or equal to 20.95 years so that less than 3% of the television sets fail while under warranty.

3 0

3 years ago

I really need help A school band ordered hats for $2 and large T-shirts for $5. They bought 100 items in all for $380. Use a gra

Montano1993 [528]

3.8 in all is your answert

3 0

3 years ago

Read 2 more answers

The scale on a map is 1 inch = 50 miles. What is the distance on the map between two towns that are exactly 318.75 miles apart?

Snezhnost [94]

You would divide 318.75 by 50 and get an answer of 6.375 inches

8 0

3 years ago

Please explain if you can

Sonja [21]

Using it's concept, the probabilities are given as follows:

19. A. 1/3.

20. F. 1/6.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 1 + 1 + 3 + 4 + 3 = 12 papers. 4 have a score of 6, hence, in item 19, the probability is:

p = 4/12 = 1/3.

Which means that option A is correct.

2 papers have a score greater than 12, hence the probability in item 20 is given by:

p = 2/12 = 1/6.

Which means that option F is correct.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

8 0

2 years ago