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Kamila [148]
3 years ago
8

Determine the 5th term in the geometric sequence whose first 4 and whose common ratio is 3

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer: 324

The values in a geometric sequence are calculated by multiplying the preceding term by a "common ratio". For example, with a geometric sequence with a common ratio of 2 and the first value of 1, the sequence would be 1, 2, 4, 8, 16, and so on. Each value after the first one is multiplied by the value prior and 2. 2 * 2 = 4, 4 * 2 = 8, and so on.

For your question, the first value is 4 and the common ratio is 3. Multiply 4 by 3 to get the second value: 12. 12 times 3 is 36. 36 times 3 is 108, and finally, 108 times 3 is 324. The fifth term is 324.

4, 12, 36, 108, 324.

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A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a
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Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

8 0
3 years ago
How do you do this!???
german

Answer:

x=2

Step-by-step explanation:

assuming this shape is euclidean (don't pay attention to this just some extra info, assume that all triangles on a sheet of paper have angles summing to 180)

The sum of all angles in a triangle is 180, so

90+60+15x=180

150+15x=180

15x=30

x=2

5 0
3 years ago
What is the GCF of 32 and 5
Bas_tet [7]

Answer:

You can use a table to find the answer which is 1!

Step-by-step explanation:


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Step-by-step explanation:

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