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AURORKA [14]
3 years ago
8

A student is working on a project for which he records the revolutions per minute (rpm) for a small electric motor as he increas

es the voltage in a circuit. Here is the table showing the results:
Voltage
(volt) Motor Speed
(rpm)
0 0
1 25
2 50
3 75
4 100
Create a graph showing the relationship in the table. Think about the title, axis labels, and whether you need to connect the points with a line.
Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

See below ↓

Step-by-step explanation:

The relation is :

  • Let y = Motor Speed and x = Voltage
  • y = 25x

<u>Title</u> : Variation of Motor Speed with Applied Voltage

<u>x-axis label</u> : Voltage (volt)

<u>y-axis label</u> : Motor speed (rpm)

As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.

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4 years ago
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Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probabil
elena-14-01-66 [18.8K]

Answer: The probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

Step-by-step explanation:

Since we have given that

Number of times a coin tossed = 500

Number of times head occurs = 416

So, our Z-score would be

Z_\alpha =\dfrac{416}{500}=0.832

So, At significance level of 0.01, p-value of Z-score is .202704.

and p-value < 0.01, i.e. 0.202704<0.832.

Hence, the probability of this ocurring by chance is less than 0.01.

The meaning of the significance level is that it tells that there is difference of 1% level when there is no actual difference.

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x \geqslant 42
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What is a equilateral triangle?
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The pans shown are balanced. Use the SubtractionProperty of Equality to find which shapes are equalto one purple pyramid.
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According to the Subtraction property of equality, the equality of an expression holds true if the same finite number is subtracted from both sides of the equality,

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Now, observe the given figure carefully.

We will use the above-mentioned property to get rid of the common shapes that exist on both sides. Here, the balance represents equality between both sides.

Consider that the pans are initially balanced. And both sides contain a red cube. So we can subtract or eliminate the red cube and the equality will still hold true.

Similarly, we can eliminate the blue sphere.

At this point, we have the purple pyramid and a yellow diamond on the left side, and on the right side, we have 4 pieces of yellow diamond.

Observe that one piece of yellow diamond is common to both sides, so it can also be eliminated from both sides.

After this, the left side will contain only the purple pyramid while the right side contains 3 yellow diamonds. Since we are always using the subtraction property to eliminate the shapes, the balance must be maintained throughout the process.

At last, there must exist a balance between the left side containing the purple pyramid only, and the right side containing 3 yellow diamonds.

Therefore, it can be concluded that one purple pyramid is equal to 3 yellow diamonds.

6 0
1 year ago
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