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MArishka [77]
3 years ago
13

I need help with both of these questions please

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

\frac{22}{30} = \frac{11}{15}

and

\frac{176}{7} = 25 \frac{1}{7}

Step-by-step explanation:

First make all the fractions into improper fractions

1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}

After doing that put them back into the problems

Problem 1)

1\frac{5}{6}  ÷ 2\frac{1}{2} , plug in the improper fractions

\frac{11}{6} ÷ \frac{5}{2}

to divide, you need to flip the second fraction and multiply

\frac{11}{6}· \frac{2}{5} = \frac{22}{30}

then reduce

\frac{22}{30} = \frac{11}{15}

Problem 2)

3\frac{1}{7}÷ \frac{1}{8}\\

Plug in improper fraction

\frac{22}{7} ÷ \frac{1}{8}\\

Then flip second fraction and multiply

\frac{22}{7} · \frac{8}{1}

Multiply

\frac{176}{7}

Reduce, or make it a mixed number

\frac{176}{7} = 25 \frac{1}{7}

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Answer:

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Step-by-step explanation:

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H_{0}: p \geq 0.16

Testing this hypothesis, means that the alternate hypothesis is:

H_{a}: p > 0.16

The test statistic is:

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In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

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Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

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The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

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