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statuscvo [17]
3 years ago
14

Please please help me

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0

Answer:

\large\boxed{\dfrac{\boxed{8}}{81}}

Step-by-step explanation:

\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}

\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}

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OR

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Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

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At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

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z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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0.4 is tested at the null hypothesis:

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74 out of the 200 workers sampled said they would return to work

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7 0
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Sedbober [7]

7/12,  3/4,  4/7,  5/8,  4/7

Answer:  

Order from Least to Greatest

4/7    =       4/7     <       7/12    <    5/8   <   3/4  

Showing Work  

Rewriting as fractions if necessary:  

7/12, 3/4, 4/7, 5/8, 4/7  

The least common denominator (LCD) is: 168.  

Rewriting as equivalent fractions with the LCD:  

98/168, 126/168, 96/168, 105/168, 96/168  

Ordering these fractions by the numerator in order from least to greatest:  

96/168    =    96/168     <     98/168    < 105/168    < 126/168  

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Answer   =======>   4/7    =   4/7    <    7/12    <     5/8    < 3/4


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Number of Inputs  ======>    4

Answer  ==> Ascending order (Least to Greatest ====>    81/100, 815/1000, 0.819, 0.8199



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Number of Inputs:  4

Answer ==>  Ascending Order(Least to Greatest) ==> 90/29, 245/70, 3.572, 3 4/7




Hope that helps!!!!                                              : )

     


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