All categories

3 years ago

Insert five numbers between 1/27 and 27 to form a geometric sequence. there are 2 answers

Mathematics

1 answer:

sattari [20]3 years ago

6 0

Answer:

1/27, 1/9, 1/3, 1, 3, 9, 27

27, 9, 3, 1, 1/3, 1/9, 1/27

Step-by-step explanation:

The nth term of a geometric sequence is:

aₙ = a₁ rⁿ⁻¹

If 1/27 is the first term, and 27 is the 7th term, then:

27 = 1/27 r⁷⁻¹

27 = 1/27 r⁶

27² = r⁶

27 = r³

r = 3

This sequence is 1/27, 1/9, 1/3, 1, 3, 9, 27.

On the other hand, if 27 is the first term, and 1/27 is the 7th term, then:

1/27 = 27 r⁷⁻¹

1/27 = 27 r⁶

1/27² = r⁶

1/27 = r³

r = 1/3

This sequence is 27, 9, 3, 1, 1/3, 1/9, 1/27.

You might be interested in

Ciara is naking a new outfit she needs 2 1/2 yards of the fabric for the shawl and 1 3/4 yards of fabric for the dress. If she h

valentina_108 [34]

Answer:

1 1/4 yards

$20

Step-by-step explanation:

The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has

sum of the yards needed for the shawl and the dress =

$2\frac{1}{2} + 1\frac{3}{4}$

$3\frac{2 + 3}{4}$ = $3\frac{5}{4}$ = $4\frac{1}{4}$

Yards needed

$4\frac{1}{4} - 3$ = $1\frac{1}{4}$

cost of dance outfit = $16 x $1\frac{1}{4}$

$\frac{5}{4}$ × $16 = $20

6 0

3 years ago

The value of y varies directly with x, and y = 18 when x = 12. find y when x = 132.

sveta [45]

This would be 198 because 12 times 1.5 equals 18 so when you multiply 132 by 1.5 you get 198

4 0

3 years ago

A shopping mall has $99 to spend on new tiles for the floor. If each tile costs $9, how many tiles can the mall buy?

SVETLANKA909090 [29]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 99/9 = 11

The mall can buy 11 tiles

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

6 0

3 years ago

Read 2 more answers

Write In (4/9) in terms of In 2 and In 3.

Gnesinka [82]

Answer

A) 2 ln 2 - 2 ln 3

Explanation

Using the laws of logarithms:

ln (x/y) = ln (x) - ln (y)

ln (4/9) = ln (4) - ln (9)

This can be written as

ln (2^2) - ln (3^2)

Another law is:

ln (n^m) = m ln(n)

So finally:

2ln (2) - 2ln 3

7 0

3 years ago

PLEASE HELP ASAP I REALLY NEED HELP AND EXPLINATION I WILL GIVE BRAINLIEST!!

Lady bird [3.3K]

The given data can be completed in a tabular form by using the given data

points row and column totals.

Responses:

Part A: The percentage of the respondents that do not like both hamburgers and burritos is approximately 26.34%

Part B: The marginal relative frequency is approximately 0.537

Part C: The data point that has strongest association of its two factors is the data point for the respondents that like hamburger but do not like burritos which is 81

<h3>Methods used for the calculations:</h3>

The given data is presented as follows;

$\begin{tabular}{|l|c|c|c|}&Like hamburgers&Does not like hamburgers& Total\\Likes burritos&29&41&\\Does not like burritos &&54&135\\Total&110&&205\end{array}\right]$

Number of respondents that do not like burritos = 135 - 54 = 81

The total number of respondents that do not like hamburgers = 41 + 54 = 95

The total number of respondents that like burritos = 29 + 41 = 70

Part A:

Number of respondents that do not like both hamburgers and burritos = 54

The percentage of the survey that do not like both hamburgers and burritos (H∩B)' is therefore;

$Percentage \ of \ (H \cap B)' = \mathbf{\dfrac{54}{205} \times 100} = 26.\overline{34146} \ \% \approx 26.34 \ \%$

The percentage that do not like both hamburgers and burritos is approximately <u>26.34%</u>

Part B:

Marginal relative frequency of all customers that like hamburgers.

$Marginal \ relative \ frequency = \mathbf{\dfrac{Total \ number \ of \ customers \ that \ like \ hamburgers}{Grand \ total \ of \ repondents \ in \ the \ survey}}$

Therefore;

$Marginal \ relative \ frequency = \dfrac{110}{205} = \dfrac{22}{41} \approx \underline{ 0.537}$

Part C:

The completed table is presented as follows;

$\begin{tabular}{|l|c|c|c|}&Like hamburgers&Does not like hamburgers&Total\\Likes burritos&29&41&70\\Does not like burritos&81&54&135\\Total&110&95& 205\end{array}\right]$

The conditional relative frequencies are presented as follows;

$Conditional \ relative \ frequency \ (row)\\\begin{tabular}{|l|c|c|c|}& Cond. Rel. Frequency&&Total\\Likes burritos&29 \div 70 \approx 0.414&41 \div 70 \approx 0.586 &70 \div 70 = 1 \\Does not like burritos&81 \div 135 = 0.6&54 \div 135= 0.4&135 \div 135 = 1\end{array}\right]$

$Conditional\ Relative \ Frequencies \ (column)\\\begin{tabular}{|l|c|c|c|}&Like hamburgers&Does not like hamburgers\\Likes burritos&29 \div 110 \approx 0.263&41 \div 95 \approx 0.432\\Does not like burritos&81 \div 110 \approx 0.763&54 \div 95 \approx 0.568 \\&110 \div 110 = 1&95 \div 95 = 1\end{array}\right]$

A strong association variables relates to how much a variable depends on another variable, which is the level of relationship.

Based on the above relative frequency tables, we have that the data point

for those that like hamburger (29, 81) is such that only approximately 26.3%

of those that like hamburgers like burritos, while 76.3% that like hamburger

do not like burritos, which can be interpreted as follows;

Majority of customers that like hamburgers (76.3%) do not like burritos

Therefore;

A data point that has the strongest association is the data point for the customers that like hamburgers and do not like burritos which is <u>81</u>.

Learn more conditional relative frequency table

brainly.com/question/7013423

brainly.com/question/2815014

3 0

2 years ago