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3 years ago

WILL MARK BRAINLIEST In this geometric sequence, what is the common ratio? 104, -52, 26, -13, ...

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

r = - $\frac{1}{2}$

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = $\frac{a_{2} }{a_{1} }$ = $\frac{a_{3} }{a_{2} }$ = .....

Hence

r = $\frac{-52}{104}$ = $\frac{26}{-52}$ = - $\frac{1}{2}$

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Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.

3241004551 [841]

Using proportions, it is found that Mason ran 620 meters.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the ratio, the <em>rule of three</em> is given as follows:

2 laps for Mason - 3 laps for Laney.

n meters for Mason - 930 meters for Mason.

Applying cross multiplication:

3n = 930 x 2

n = 930 x 2/3

n = 620

Mason ran 620 meters.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if ne

AysviL [449]

Answer:

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

ΔLMN = ΔOPR ----- (<em>given</em>)

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

6 0

3 years ago

Forty percent of the 30 members of the drama club were members of the senior class

andriy [413]

10%of30=3

3x4=12

A. 40%of 30=12 senior class members.

B. 60% of the class were not senior class members

4 0

2 years ago

Read 2 more answers

A resident of Bayport claims to the City Council that the proportion of Westside residents

Kazeer [188]

Answer:

The test statistics is $z = -1.56$

The p-value is $p-value = 0.05938$

Step-by-step explanation:

From the question we are told

The West side sample size is $n_1 = 578$

The number of residents on the West side with income below poverty level is $k = 76$

The East side sample size $n_2=688$

The number of residents on the East side with income below poverty level is $u = 112$

The null hypothesis is $H_o : p_1 = p_2$

The alternative hypothesis is $H_a : p_1 < p_2$

Generally the sample proportion of West side is

$\^{p} _1 = \frac{k}{n_1}$

=> $\^{p} _1 = \frac{76}{578}$

=> $\^{p} _1 = 0.1315$

Generally the sample proportion of West side is

$\^{p} _2 = \frac{u}{n_2}$

=> $\^{p} _2 = \frac{112}{688}$

=> $\^{p} _2 = 0.1628$

Generally the pooled sample proportion is mathematically represented as

$p = \frac{k + u}{ n_1 + n_2 }$

=> $p = \frac{76 + 112}{ 578 + 688 }$

=> $p =0.1485$

Generally the test statistics is mathematically represented as

$z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }$

=> $z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }$

=> $z = -1.56$

Generally the p-value is mathematically represented as

$p-value = P(z < -1.56 )$

From z-table

$P(z < -1.56 ) = 0.05938$

$p-value = 0.05938$

3 0

3 years ago

Solution for 8x-3(2x-4)=3(x-6)

NNADVOKAT [17]

The solution is x=30

4 0

3 years ago