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VLD [36.1K]
3 years ago
13

Find the 75th term of the following arithmetic sequence. 14, 22, 30, 38,

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

<h3>             a₇₅ = 606</h3>

Step-by-step explanation:

a_1=14\\a_2=22\\\\d=a_2-a_1=22-14=8\\\\a_n=a_1+d(n-1)\\\\a_{75}=14+8(75-1)=14+8\cdot74=14+592=606

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Zepler [3.9K]

The size of the sample they should take to estimate p with a 2% margin of error and 90% confidence is n = 1691.

In statistics, the margin of error is just the degree of a significant error in the outcomes of random sample surveys.

The formula of margin error is, E = z√((p-vector)(1 - (p-vector)) ÷ n)

E = 2% = 0.02

Confidence level = 90%

Now, the proportion is not given so adopt nominal (p-vector) = 0.05

The critical value at CL of 90% is 1.645.

Thus, making n the subject,

n = z²(((p-vector) × (1 - (p-vector))) ÷ E²)

n = 1.645²((0.5 × 0.5) ÷ 0.02²)

n = 1691.266

n ≈ 1691

Read more about the margin of error at

brainly.com/question/16141482?referrer=searchResults

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4 0
11 months ago
Find the solutions of the system y = –2x – 1 and y = 3–x–1. What are the x-coordinates of the solutions? Choose all that apply.
Wittaler [7]
Hello : 
<span>y = –2x – 1....(1)
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5 0
3 years ago
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Answer:

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y=-6x+8

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