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LuckyWell [14K]
2 years ago
14

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 9 terms and select the correct answer below.

Mathematics
1 answer:
ZanzabumX [31]2 years ago
3 0
The correct answer to the question presented above would be letter A. -976, 563. I got this through solving with the first number of the set, then getting the ratio of the data set (which is -5) and the number of terms in the set. Thus, I arrived with the answer, -976, 563.
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Someone answer this please, I’ll give you brainliest and your getting a lot of points.
ANTONII [103]

Answer:

Step-by-step explanation:

Recursive formula

tn = t_n-1 / 4

t2 = t1 / 4

t2 = 10240

t1 = 10240 / 4 = 2560

Explicit formula

tn = 10240 / 4^(n-1)

t4 = 10240 / 4^(4 - 1)

t4 = 10240 / 4^3

t4 = 10240 / 64

t4 = 160

t8 = 10240 / 4^7

t8 = 0,625

6 0
2 years ago
Rewrite these in increasing order of length:<br> 133 dm. 433 cm, 308 km, 91 mm
Oksi-84 [34.3K]

\boxed{91mm

<h2>Explanation:</h2>

First of all, let's transform each measurement into meter knowing the following relationships:

1dm=0.1m \\ \\ 1cm=0.01m \\ \\ 1km=1000 m \\ \\ 1mm=0.001m

Therefore, we can compute the following:

\bullet \ 133dm \rightarrow 133dm(\frac{0.1m}{1dm})=13.3m \\ \\ \bullet \ 433cm \rightarrow 433cm(\frac{0.01m}{1cm})=4.33m \\ \\ \bullet \ 308km \rightarrow 308km(\frac{1000m}{1km})=308,000m \\ \\ \bullet \ 91mm \rightarrow 91mm(\frac{0.001m}{1mm})=0.091m

Writing this in increasing order:

0.091m

<h2>Learn more:</h2>

jovian planets in order of increasing distance from the Sun: brainly.com/question/12534549

#LearnWithBrainly

7 0
3 years ago
Which formula can be used to describe the sequence?
statuscvo [17]
Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity.  If that is not what you are given, there is no answer.

Discussion
The  minus sign is misplaced. There are 2 reasons. 
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1

Answer: There is no answer, but you could try C if D does not work.

6 0
2 years ago
Read 2 more answers
I rlly need help with this :(
kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 72.6, \sigma = 2.7.

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{74.2 - 72.6}{2.7}

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 72.6}{2.7}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

Z = \frac{X - \mu}{\sigma}

Z = \frac{70 - 72.6}{2.7}

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0
2 years ago
How much interest is earned in 8 months if $6000 is invested at an 5% annual interest rate?
liberstina [14]

Answer:

its 2,400

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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