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Genrish500 [490]
2 years ago
13

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

o find the amount of flour, x Mrs. Stewart needs when she uses 5 cups of shortening
Mathematics
1 answer:
zloy xaker [14]2 years ago
3 0

Answer:

The amount of flour Mrs.Stewart needs for 5 cups of shortening =\frac{75}{4} =18\tfrac{3}{4} cups.

Step-by-step explanation:

Mrs.Stewart pie dough needs  \frac{2}{3} cups of shortening for 2\tfrac{1}{2}=\frac{5}{2} cups of flour.

Now we assume that the shortening needed for x cups of flour is y cups.

Accordingly we can arrange the ratios.

So for one cup of shortening how many cups of flour is needed we have to use the unitary method:

\frac{cups\ of flour\ (x)}{cups\ of\ shortening\ (y)} =\frac{x}{y} =\frac{5/2}{2/3}

Plugging the value of y=5 as it is number of cups of shortening Mrs.Stewart have used.

And multiplying both sides with 5.

Number of cups of flour needed when 5 cups of shortenings are used (x) =\frac{x}{y} =\frac{5/2}{2/3}.

So, (x)=\frac{5\times 3\times 5}{2\times 2} =\frac{75}{4} = 18\tfrac{3}{4}

The amount of floor Mrs.Stewart needed for 5 cups of shortening = 18\tfrac{3}{4}\ cups of floor.

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Answer:

The statistic for this case would be given by:

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Step-by-step explanation:

Infromation provided

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X=18 represent the people who rates Pepsi as being "concerned with my health"

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For this case we can assume that the interest is check if the proportion of people who rates Pepsi as being "concerned with my health" is equal to 0.1 or not , then the system of hypothesis are:

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The satistic for this one sample proportion test is given by:

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Replacing the info given we got:

z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67  

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