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TEA [102]
2 years ago
8

A recipe calls for 2 cups of flour and 3 cups of sugar. How many cups of flour would be needed if the amount of sugar were incre

ased to 12 cups?
Mathematics
2 answers:
Sergeu [11.5K]2 years ago
5 0

Answer:

It would be 8 cups of flour.

nika2105 [10]2 years ago
4 0

Answer:

8 cups

Step-by-step explanation:

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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

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:

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

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

Rounding up:

A sample of 16577 is required.

8 0
2 years ago
What is the value of the digit 8 in 686,293
e-lub [12.9K]
80,000 is the value
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2 years ago
Read 3 more answers
I need Geometry help!!!
choli [55]
Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2

Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4

The values of interest are
.. x = 14
.. y = 15
6 0
2 years ago
Please help asap ;-;
Maksim231197 [3]

Answer:

1: 11

2: 1

3: -9

4: -49

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2 years ago
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What is the perimeter of a triangle if the lengths of the sides are 8", 10", and x?
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