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Galina-37 [17]
3 years ago
12

Find the sum of the geometric sequence.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

<u>Answer:</u>

\frac{31}{3}

<u>Step-by-step explanation:</u>

We are given the following geometric sequence and we are to find its sum:

\frac{1}{3} + \frac{2}{3} + \frac{4}{3} + \frac{8}{3} + \frac{16}{3}

For this, we just simply need to add these fractions by taking their LCM.

Since the denominator is same for all the fractions in the geometric sequence, we can take the same denominator and add all the numbers in the numerator to get:

\frac {1 + 2 + 4 + 8 + 16 } {3} = \frac{31}{3}

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What is the quotient (3x^2+8x-3)/ (x+3)
Dvinal [7]

Answer:

The quotient ix 3x - 1.

Explanation:

Use Long division:

        3x - 1     <------------quotient.

        ---------------------

x + 3) 3x^2 + 8x + 3

         3x^2 + 9x

          -------------

                      -x + 3

                      -x - 3

                        ------

                             6 <---------remainder.

6 0
3 years ago
P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They
creativ13 [48]

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.

8 0
3 years ago
The answer to this problem?
LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

Read more about expressions at:

brainly.com/question/723406

#SPJ1

5 0
1 year ago
PLEASE HELP WITH THIS
kodGreya [7K]
Hello,
Please, see the attached files.
Thanks.

6 0
3 years ago
Rewrite with only sin x and cos x.
amm1812

Answer:

  • sin2x-cosx
  • 2sinx.cosx -cosx
  • cosx (2sinx-1)
5 0
2 years ago
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