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Ket [755]
3 years ago
13

Write an equation for the nth term of the arithmetic sequence 44, 62,80,98

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

a_{n} = 18n + 26

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 44 and d = 62 - 44 = 18 , thus

a_{n} = 44 + 18(n - 1) = 44 + 18n - 18 = 18n + 26

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The height (in inches) of adult men in the United States is believed to be Normally distributed with mean μ . The average height
Jlenok [28]

Answer: a. 69.72 ± 1.37

Step-by-step explanation:

We want to determine a 90% confidence interval for the mean height (in inches) of adult men in the United States.

Number of sample, n = 25

Mean, u = 69.72 inches

Standard deviation, s = 4.15

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z × standard deviation/√n

It becomes

69.72 ± 1.645 × 4.15/√25

= 69.72 ± 1.645 × 0.83

= 69.72 ± 1.37

The lower end of the confidence interval is 69.72 - 1.37 = 68.35

The upper end of the confidence interval is 69.72 + 1.37 = 71.09

5 0
3 years ago
Joey had a balance of $250.50 in his account, and then he made a purchase for $317.25. What is the new
aivan3 [116]

Answer:

Joey has no money in his account. He is now indebted for $66.75

Step-by-step explanation:

250.5 - 317.25 = -66.75

4 0
3 years ago
What is 4/9 divded by 1/3
andrezito [222]
<span>Easiest way is to flip the divisor and multply.

4/9 divided by 1/3
is the same as 4/9 times 3/1

Should be pretty easy to go the rest of the way yourself.</span>
6 0
3 years ago
Read 2 more answers
If the cost is a function depending in the number of sections, how much will 200 sections cost?
julsineya [31]
I would say the answer is D. 7837. Since the common ratio between the x’s and y’s were are 39.5 so multiplying that times 200 gives something around 7900 so, (rounding down) the answer would be D. I really hope that helped! Also please correct me if I am wrong... thanks!
4 0
3 years ago
Read 2 more answers
Simplity: (3(2a)^1/3) 2<br> 24a3<br> 216a3<br> 72a3<br> 342a
marta [7]
72a3 is the right answer
8 0
3 years ago
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