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allochka39001 [22]
2 years ago
11

Find the reciprocal of. ​

Mathematics
2 answers:
antiseptic1488 [7]2 years ago
8 0

Answer:

a. 3

b. \frac{8}{7}

c. \frac{3}{8}

d. \frac{1}{5}

e. \frac{6}{37}

Step-by-step explanation:

a. \frac{1}{3}

Just flip the fraction , you will get:

=  \frac{3}{1}

= 3

b. \frac{7}{8}

flip the fraction

=  \frac{8}{7}

c. 2 \frac{2}{3}

The first thing you have to do is that convert mixed fraction into improper fraction

\frac{8}{3}

Flip the fraction

=  \frac{3}{8}

d. 5

flip the fraction

=  \frac{1}{5}

e. 6 \frac{1}{6}

Convert mixed fraction into improper fraction

=  \frac{37}{6}

Flip the fraction in order to get reciprocal

=  \frac{6}{37}

Hope this helps...

Best regards!!

alexandr402 [8]2 years ago
4 0

Answer:

a) 3/1 that is 3

b) 8/7

c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3

therefore the reciprocal is 3/8

d) 1/5

e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6

therefore the reciprocal is 6/37.

plz mark my ans as branlliest and like it upvote it

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Answer:

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

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Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

\hat p=0.54 estimated proportion of residents that favored the annexation

p_o=0.5 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:  

Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info required we can replace in formula (1) like this:  

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.530)=0.0057  

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