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Nat2105 [25]
2 years ago
15

What is the 12th term in the geometric sequence -9,27,-81...?

Mathematics
1 answer:
AnnyKZ [126]2 years ago
4 0

Answer:

  • B) 1594323

Step-by-step explanation:

<h3>Given GP</h3>
  • -9, 27, -81, ...
<h3>To find</h3>
  • 12th term
<h3>Solution</h3>

<u>nth term formula</u>

  • aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the term

<u>We have</u>

  • a₁ = -9
  • r = 27/-9 = -81/27 = -3

<u>Find a₁₂</u>

  • a₁₂ = (-9)*(-3)¹¹ = 1594323

Correct choice is B

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Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are
viktelen [127]

Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.

<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.

To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.

Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

X = 322, \mu = 267, \sigma = 39

The z-score is:

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

Z = \frac{322 - 267}{39}

Z = 1.41

Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

X = 176, \mu = 155, \sigma = 28

The z-score is:

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

Z = \frac{176 - 155}{28}

Z = 0.75.

Hence Stewart caught the longer fish relative to the same specie.

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

#SPJ1

8 0
1 year ago
On Monday a stock sold for $12 a share at closing. On Tuesday the selling price for the stock was down $3 a share at closing. On
Anika [276]

Answer:the price of the stock at closing on Wednesday is $10

Step-by-step explanation:

On Monday a stock sold for $12 a share at closing. On Tuesday the selling price for the stock was down $3 a share at closing. This means that the amount at which the stock sold a share at closing on Tuesday is 12 - 3 = $9

On Wednesday the price of the stock at closing was up $1 from Tuesday. This means that the amount at which the stock sold a share at closing on Wednesday is

9 +1 = $10

5 0
3 years ago
What is the lcm of 12 and 18
tekilochka [14]
Answer: 36

Explanation: 36 is the smallest number divisible by both 12 and 18.
12x3 and 18x2 = 36
8 0
2 years ago
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11) The sum of four consecutive integers is 290.
n200080 [17]

Answer:

71, 72, 73, 74 . for details, check below

Step-by-step explanation:

a)  Let's assume that among the four consecutive numbers, the first one is x,

so, the four consecutive numbers should be:

  1. x
  2. x+1
  3. x+2
  4. x+3.

According to the question,

(x) + (x + 1) + (x + 2) + (x + 3) = 290

<h2>b)</h2>

(x) + (x + 1) + (x + 2) + (x + 3) = 290

4x + 6 = 290

4x = 284

x = 284÷ 4

x = 71.

So, the numbers are,

71, 72, 73, 74

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2 years ago
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Can someone help me? ​
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Answer:

b

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