What is the coefficient of 12s + 4t

Mathematics

1 answer:

marshall27 [118]2 years ago

5 0

Answer:

12 and 4

Step-by-step explanation:

it is the number being multiplied by the variable

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Is 4/7 bigger or smaller than 3/5

blondinia [14]

$\frac{4}{7}=\frac{4 \times 5}{7 \times 5}=\frac{20}{35} \\
\frac{3}{5}=\frac{3 \times 7}{5 \times 7}=\frac{21}{35} \\ \\
\frac{20}{35} < \frac{21}{35} \\ 
\Downarrow \\
\frac{4}{7} < \frac{3}{5}$

4/7 is smaller than 3/5.

3 0

3 years ago

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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.