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stiv31 [10]
3 years ago
7

A recipe calls for 2 1/4 cups of milk. If Jamal wants to make 2/3 of the​ recipe, how many cups of milk should he​ use?

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

1 1/12 cups

Step-by-step explanation:

2 1/4 = 9/4

9/4 - 1/3

27/12 - 4/12

23/12 = 1 1/12

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What is the least common denominator of the expressions?<br> x + 1/4x and 3(X + 1)/2x2​
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Answer:

LCD =  4 x^2

Step-by-step explanation:

The least common denominator  : LCD

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factor  2x^2 :   2, x, x^2

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3 years ago
A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
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Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

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