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mixer [17]
3 years ago
9

PLEASE HELP

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer: 5x+12.50=62.50

5*12.50=62.50

Step-by-step explanation:

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A line extends infinitely far in two directions.<br><br> A. True<br> B. False
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Yes, a line does extend infinitely far in two directions, so it is true.
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Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. ​(b) Find the critical​ value(s) and identify the
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Answer:

See explanation

Step-by-step explanation:

Solution:-

- The claim made was made on the customer ( population ) that more than 27% of the consumers have stopped buying the product due to environmental concern.

- We will denote ( p ) as the population proportion for which the claim was made. The hypothesis would be:

           Null Hypothesis : p ≥ 0.27 .. ( 27 ) %

- Then the only possibility to rejects or disband the claim made would be if the proportion ( p ) of consumers who stopped buying a certain product due to environmental issues is less than the value claimed.

           Alternate Hypothesis : p < 0.27 ... ( 27 ) %

- A random sample of n = 1040 customers were taken. The sample proportion ( p^ ) = 0.3 .. ( 30 )%. The population standard deviation ( σ ) as follows:

                 σ = √p*( 1 - p ) / n

                 σ = √0.27*( 1 - 0.27 ) / 1040

                σ = √0.00018 = 0.01376

- Then we will evaluate the Z-statistics value:

                 Z-test = ( p^ - p ) / σ

                 Z-test = ( 0.3 - 0.27 ) / 0.01376

                 Z-test = 2.180

- The p-value is the probability of standard normal less than Z-test value:

                 P ( Z < Z-test ) = P ( Z < 2.18 )

                 P ( Z < 2.18 ) = 0.985

- To reject the Null hypothesis the p-value must be less than significance level α = 0.04.

                p-value > α

                0.985 > 0.04

Conclusion:- There isn't sufficient evidence to reject the claim made by the researcher. Hence, the claim made is statistically correct as per sample obtained.  

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Evaluate <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%20%20for%20x%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20and%20y%20%3D%2
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 \displaystyle\\&#10;\frac{x}{y} ~~~ \Big( \texttt{ for } x =  \frac{2}{3} \texttt{ and }  y = \frac{6}{7} \Big)= ?\\  \\  \\ &#10;\Longrightarrow~~~\frac{x}{y}= \frac{~\frac{2}{3} ~}{\frac{6}{7} }= \frac{2}{3} \cdot \frac{7}{6} =\frac{2\cdot 7}{3\cdot6 }= \frac{7}{3\cdot 3 }= \boxed{\frac{7}{9}} \\  \\  \\ &#10;\texttt{Correct ansver: A}



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