Rhonda is painting four pictures on paper. She has 1/8 of a gallon of paint to paint all the pictures. How much paint will she u
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The equivalent resistance of a series circuit is found by finding the sum of the individual resistances
The series resistor required is <u>1.25 Ω</u>
The power rating of the resistor, is <u>2,000 W</u>
The reason why the above values are correct are as follows;
The given parameter are;
Applied DC Voltage, V = 250 V
The full load armature current, I = 50 A
Required reduced armature current, = 40 A
Solution:
First part
The resistance, <em>R</em>, of the circuit, is given as follows;
Therefore;
The voltage, V = I·R, therefore, with a series resistor, , we can have;
V = I·R = ·(
+ R) (given that the same current flows through both resistor)
Where the required current is = 40 A, we get;
Which gives;
The required series resistor, = <u>1.25 Ω</u>
Second part;
Power, P = I²·R
The power rating of the resistor, which is added to the circuit to regulate the current to 40A is therefore, given as follows;
=
²·
∴ = 40² × 1.25 = 2,000
The power rating of the resistor is <u>2,000 W</u>
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Learn more about series circuit here:
Answer:
Type I error is : to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same.
Step-by-step explanation:
We are given that an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. For this fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0 hours.
Let Null Hypothesis, :
4.5 hours {means that the current mean hours per week is less than or equal to 4.5}
Alternate Hypothesis, :
> 4.5 hours {means that the current mean hours per week is higher than 4.5}
<em>Now, T</em><u><em>ype I error states that</em></u><em> : Probability of rejecting null hypothesis given the fact that it was true or Rejecting the true null hypothesis.</em>
<u>So, according our question;</u>
Type I error is to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same.