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
Formula:
x + 2(x+1) = 17
x + 2x + 2 = 17
3x + 2 = 17
3x = 15
x = 5
So, the answer is 5 and 6
Hope this helped!
Answer:
x = 42 degrees.
Step-by-step explanation:
We see a cyclic quadrilateral, so by the cyclic quadrilateral theorem we notice that the angle marked with x degrees is equal to the angle marked with 42 degrees. Hence, x = 42 degrees.
Answer:
7.92
Step-by-step explanation:
Given
c² + 0.1c - 24 ← substitute c = - 5.7 into the expression
= (- 5.7)² + 0.1(- 5.7) - 24
= 32.49 - 0.57 - 24
= 31.92 - 24
= 7.92
Answer:
The cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.
Step-by-step explanation:
Since a clothes shop has some special offers, for which T-shirts are buy one get one free and jumpers are 3 for 2, and the normal price of a T-shirt is £ 4.80 and the normal price of a jumper is £ 14.60, to determine how much does it cost to get 5 jumpers and 4 T-shirts using this offer as appropriate, the following calculation must be performed:
4 T shirts = 2 + 2
4.80 x 2 = 9.60
5 jumpers = 2 (+1) + 2
4 x 14.60 = 58.40
Therefore, the cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.
