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KIM [24]
3 years ago
10

Does the infinite geometric series diverge or converge? Explain.

Mathematics
1 answer:
enot [183]3 years ago
6 0

Answer:

C- It Converges, it has a sum

Step-by-step explanation:

Geometric Series Quiz Part 1

1-D NO

2-D 0.972

3-A 12 FEET

4-C 250

5-A 10En=1 (N+2)

6-D 165

7-A 1,365

8-A 19,662

9-C 12,276

10-A 138,037.53

11-C It Converges, it has a sum.

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Solve and graph the inequality. −x4−6≥−8 {"version":"1.1","math":"-x4-6≥-8"} Question 6 options: x ≤ 8 x < –4 x > 8 x ≥ –8
aleksandrvk [35]
1. Answer: x < –4
The question is a bit ambiguous since x4 can be interpreted as x^4. Since there was no option for −x^4−6 ≥ −8 ,  I will solve the question assuming that the original question was −x(4−6)≥−8 
−x(4−6)≥−8 −x(-2)≥−8           ---> multiply x with -2 2x≥−8              ----> divide by 2x≥−4 
2.  Answer: x≥ -11
To solve inequality using > or < sign, you must be careful because multiplying the inequality with -1 will cause the sign to change direction(< will become > or vice versa). In this case, will solve the question without multiplying it with -1

6.7 ≥−0.2x + 4.5                 ----> move -0.2x to left, 6.7 to right
0.2x ≥ 4.5 - 6.7
0.2x ≥ -2.2
x≥ -11
8 0
3 years ago
Read 2 more answers
You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Associat
Ad libitum [116K]

Answer:

A sample size of at least 228 must be needed.

Step-by-step explanation:

We are given that in the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $61,238. Assume that the standard deviation is $3850.

And we have to find that what sample size do we need to have a margin of error equal to $500 with 95% confidence.

As we know that the Margin of error formula is given by;

 <u>Margin of error</u> = Z_\frac{\alpha}{2} \times \frac{\sigma}{\sqrt{n} }

where, \alpha = significance level = 1 - 0.95 = 0.05 and  (\frac{\alpha}{2}) = 0.025.

            \sigma = standard deviation = $3,850

            n = sample size

<em>Also, at 0.025 significance level the z table gives critical value of 1.96.</em>

So, margin of error is ;

                        500=1.96 \times \frac{3,850}{\sqrt{n} }

                         \sqrt{n} = \frac{1.96 \times 3,850}{500}

                          \sqrt{n} = 15.092

 Squaring both sides we get,

                            n = 15.092^{2} = 227.8 ≈ 228

So, we must need at least a sample size of 228 to have a margin of error equal to $500 with 95% confidence.

4 0
3 years ago
Which of the following is a statistical question?
Elena L [17]
C how many students attend natashas school
7 0
3 years ago
Helphelphelp helphelphelp helphelphelp helphelphelp​
lorasvet [3.4K]

Answer:

b

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Write an explicit formula for a_na
Masja [62]

Explicit formula for the sequence 29,20,11....... is a_n=38-9n

Given :

term of the sequence 29, 20, 11, ...

We need to find out the formula for the nth term of the given sequence

Lets find out whether the given sequence is arithmetic or geometric

In the given sequence , common difference is 9

20-29=-9\\11-20=-9

we can say difference =-9

General explicit formula

a_n=a_1+(n-1)d

where a1 is the first term

common difference d=-9

substitute the values

a_n=a_1+(n-1)d\\a_n=29+(n-1)(-9)\\a_n=29-9n+9\\a_n=38-9n

Explicit formula for the sequence 29,20,11....... is a_n=38-9n

Learn more :  brainly.com/question/23243640

5 0
3 years ago
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