Answer:
slope : 1/15
Step-by-step explanation:
slope = change in y / change in x
change in y = 1 / change in x = 15
therefore, 1/15 = slope
Answer:
The other rational number in the operation given is:
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
(We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.
Answer: the circumference is 25.13 and the area is 50.26 if rounding up then 50.27
Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2
Question has missing details (Full question below)
Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage
Answer:
Mean = 219
Variance = 4
Step-by-step explanation:
Given
Let X be a random variable measurement error.
X has a discrete uniform distribution as follows
a = 219 - 3 = 216
b = 219 + 3 = 222
Mean or Expected value is calculated as follows;
E(x) = ½(216+222)
E(x) = ½ * 438
E(x) = 219
Variance is calculated as follows;
Var(x) = ((b-a+1)²-1)/12
Var(x) = ((222-216+1)²-1)/12
Var(x) = (7²-1)/12
Var(x) = 48/12
Var(x) = 4
