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FromTheMoon [43]
2 years ago
12

Use the equation 3m + 65 = 18 to complete the table.

Mathematics
1 answer:
Alla [95]2 years ago
3 0
The answer to these blanks are :
1. 6 (m)
2. 1 (s)
3. 0 (m)
4. 4 (s)
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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
Help me with writing this exression please
k0ka [10]

Answer:

3 * n^(1/6)

Step-by-step explanation:

The square root can be written as ^ 1/2

The cube root can be written as ^ 1/3

So the sixth root can be written as ^ 1/6

3 * n^(1/6)

5 0
3 years ago
. 1. A consistent system of equations is a system with __________.. . the same line. . parallel lines. . intersecting lines and
madreJ [45]

A consistent system of equations is a system with intersecting lines and lines that have the same equation.

A consistent system is the system of equations with at least one solution or infinite number of solutions.

So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.

The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.

3 0
3 years ago
What is 0,-4/7,-1/3,0.1,-0.1 in form least to greatest
Rashid [163]

Answer:

-4/7, -1/3, -0.1, 0, 0.1

Step-by-step explanation:

5 0
3 years ago
Elena ate 2/8 of a pizza and Dylan ate 1/5. Use the number lines and benchmark fractions to estimate how much of the pizza they
netineya [11]

Answer:

18/40

Step-by-step explanation:

1. Find a common denominator

8, 16, 24, 32, 40

5, 10, 15, 20, 25, 30, 35, 40

2/8 times 5= 10/40

1/5 times 8= 8/40

10/40 plus 8/40= 18/40

7 0
3 years ago
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