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3 years ago

When conducting an experiment, is it better to include 10 students or 30

Mathematics

1 answer:

emmainna [20.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

It is better to include 30 students for the sample. When conducting an experiment it is always best to have the largest sample size possible. The larger the sample size the more data that will be gathered and analyzed, which ultimately leads to much more precise results. Mainly, since you have more results to compare with one another. Therefore, providing a smaller margin of error while also allowing for a better chance of catching errors as opposed to smaller data/sample sizes.

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What is 204divided by 9

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The expression 4h−34h−3 factored is

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Determine the slope for the line that meets each condition stated. Show your work. Passes through the points ( 3 , 5 ) and ( − 1

Kamila [148]

Answer:

The slope of the line that passes through (-1, -7) and (3, 5) is 3

Explanation:

The slope of the line is calculated using the following rule:

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

We are given the following points:

(3 , 5) representing (x₁ , y₁)

(-1 , -7) representing (x₂ , y₂)

To get the slope, we will simply substitute with the givens in the above equation

This is done as follows:

$Slope = \frac{-7-5}{-1-3}=3$

You haven't attached the table for the second part. However, follow the same procedure. Pick two points from the table, substitute with them in the above equation and you'll get the slope

Hope this helps :)

4 0

3 years ago

Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes

Ivan

Answer:

14.86 knots.

Step-by-step explanation:

Given that:

The boats leave the port at noon.

Speed of boat 1 = 12 knots due east

Speed of boat 2 = 8 knots due south

At 2 pm:

Distance traveled by boat 1 = 24 units due east

Distance traveled by boat 2 = 16 units due south

Now, speed of boat 1 changes to 9 knots:

At 3 pm:

Distance traveled by boat 1 = 24 + 9= 33 units due east

Distance traveled by boat 2 = 16+8 = 24 units due south

Now, speed of boat 1 changes to 8+7 = 15 knots

At 5 pm:

Distance traveled by boat 1 = 33 + 2 $\times$ 9= 51 units due east

Distance traveled by boat 2 = 24 + 2 $\times$ 15 = 54 units due south

Now, the situation of distance traveled can be seen by the attached right angled $\triangle AOB$ .

O is the port and A is the location of boat 1

B is the location of boat 2.

Using pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units$