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IgorC [24]
3 years ago
6

What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:First three terms: 11,20,29 .

Step-by-step explanation:

Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).

I hope this is right

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A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

      E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }    

Here assume that Z_{\frac{\alpha }{2} } \ and \  \sigma \ is constant so

     E =  \frac{k}{\sqrt{n} }

=>  E \sqrt{n} = K

=>   E_1 \sqrt{n}_1 =  E_2 \sqrt{n}_2

So  let  n_1 = 400 and n_2 =  100

=>   E_1 \sqrt{400} =  E_2 \sqrt{100}

=>  E_1 =  \frac{\sqrt{100} }{\sqrt{400} } E_2

=>  E_1 =  \frac{1}{2 } E_2

So From this we see that  the confidence interval for a sample size of 400 will be half that with a sample size of 100

   

     

   

7 0
2 years ago
Don’t know much about geometry
Mariana [72]

Answer:

Step-by-step explanation:

J is a tangent to the circle and it is at right angle,

So applying Pythagorean theorem

HK² = KJ² + HJ²

HK² = 8²+ 15²

HK² = 64 + 225

HK² = 289

HK = √289

HK = 17 mi

7 0
3 years ago
-4 y over 5 equals -20
AlladinOne [14]

y = 25 is the answer.

8 0
3 years ago
When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, and when it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw. Mar
aleksandrvk [35]

Answer:

b. 13 hour, 20 min

Step-by-step explanation:

When it is 4:00 a.m. in Halifax, it is 1:00 p.m. in Karachi, this means Karachi is 9 hour ahead of Halifax.

When it is 9:00 a.m. in Karachi, it is 5:00 a.m. in Warsaw, this means that Warsaw is 4 hours behind  Karachi.

She arrived to Karachi at 3:00 pm, Tuesday. Local time. When is 3:00 pm in Karachi is 11:00 am in Warsaw.

The difference between 9:40 am, Monday and 11:00 am, Tuesday, both in Warsaw local time is 13 hour 20 min.

4 0
3 years ago
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kolbaska11 [484]

Answer:

9 baskets             (Do you have a gacha channel?)

Step-by-step explanation:

348/39= around 9 baskets

7 0
2 years ago
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