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2 years ago

Which sets of numbers represent geometric sequences? Check all that apply.

Mathematics

1 answer:

mart [117]2 years ago

8 0

Answer:

Geometric sequences are below in bold.

Step-by-step explanation:

First one is 2/5, 2/10, 2/20, 2/40

2/10 = 2/5 * 1/2 ; 2/20 = 2/10 * 1/2

This is geometric with common ratio 1/2.

Second is 11/12, 8/12, 5/12, 2/12

This is not geometric It is arithmetic with common difference -3/12.

25, 19, 13, 7.... is arithmetic with d = -6

4, 12, 36, 108

12 = 3*4, 36 = 3*12 and so on

This is geometric with r = 3.

-5, 5, -5, 5,...

Each term is obtained from the prievious by multiplying by - 1. S

this is geometric with r = -1.

-3, 0, 3, 6 is arithmetic with d = 3.

-8, -2, 1/2, 1/8

This is not geometric as there is no common ratio.

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koban [17]

Answer:

The 90% confidence interval is $\$ \ 30313.9< \mu < \$ \ 33686.13$

Step-by-step explanation:

From the question we are told that

The sample size is n = 64

The sample mean is $\= x = \$ 32, 000$

The standard deviation is $\sigma= \$ 8, 200$

Given that the confidence interval is 90% then the level of significance is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha = 10 \%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

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

=> $E = 1.645 * \frac{ 8200 }{ \sqrt{64} }$

=> $E = 1686.13$

The 90% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $32000 - 1689.13 < \mu < 32000 + 1689.13$

=> $\$ \ 30313.9< \mu < \$ \ 33686.13$

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4 years ago

Pe lingNeed 2 yards of fabric for a craft project she has 3 feet already how many inches of fabric does she need still need

icang [17]

Answer:

36 inches

Step-by-step explanation:

12 inches equals 1 foot

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1 yard equals 36 inches

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4 years ago

Order the values from least to greatest. |-6|, -7, 8, |5|, -6

adelina 88 [10]

Answer:

-1/8 < 0.33 < 3/8 < 75% < 1 5/8

7 0

3 years ago

A line has a slope of -2 and passes through the point (3, 1). What is the equation of this line in slope-intercept form?

Zepler [3.9K]

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3 years ago

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Naddik [55]

Answer:

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Step-by-step explanation:

Cost = 30 x months + 25

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7 0

3 years ago