"y-axis, x-axis, y-axis, x-axis" is the set of reflections among the following choices given in the question that <span>would carry parallelogram ABCD onto itself. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope that this is the answer that has helped you.</span>
Answer:
The value of x is 27
because 2 times 27 equals 54 minus 7 equals 47
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
The voltage is 10 + 2j volts.
Step-by-step explanation:
Ohm's first law:
By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:
![V = R*i](https://tex.z-dn.net/?f=V%20%3D%20R%2Ai)
The voltage is measured in Volts, the current in amps and the resistance in ohms.
In this question:
Both the current and the resistance have complex parts. We have to know that:
![j^{2} = -1](https://tex.z-dn.net/?f=j%5E%7B2%7D%20%3D%20-1)
We have that:
![R = 3 - 2j, i = 2 + 2j](https://tex.z-dn.net/?f=R%20%3D%203%20-%202j%2C%20i%20%3D%202%20%2B%202j)
Then
![V = R*i](https://tex.z-dn.net/?f=V%20%3D%20R%2Ai)
![V = (3 - 2j)*(2 + 2j)](https://tex.z-dn.net/?f=V%20%3D%20%283%20-%202j%29%2A%282%20%2B%202j%29)
![V = 6 + 6j - 4j - 4j^{2}](https://tex.z-dn.net/?f=V%20%3D%206%20%2B%206j%20-%204j%20-%204j%5E%7B2%7D)
![V = 6 + 2j - 4(-1)](https://tex.z-dn.net/?f=V%20%3D%206%20%2B%202j%20-%204%28-1%29)
![V = 10 + 2j](https://tex.z-dn.net/?f=V%20%3D%2010%20%2B%202j)
The voltage is 10 + 2j volts.
Answer:
b
Step-by-step explanation: