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Effectus [21]
2 years ago
10

measurement error that is continuous and uniformly distributed from millivolts is added to the true voltage of a circuit. then t

he 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
Mathematics
1 answer:
satela [25.4K]2 years ago
8 0

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

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170.27

Step-by-step explanation:

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3 years ago
Adult tickets for the school play are $12.00 and children's tickets are $8.00. If a theatre holds 300 seats and the sold out per
Vaselesa [24]
Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.

Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.

Using the substitution method:

x + y = 300   ⇒   y = 300 - x   ⇒   Equation (3)

12x + 8y = 3280   ⇒   12x + 8(300-x) = 3280   ⇒   x = 220

y = 300 - x   ⇒   y = 300-220 ⇒ 80

Therefore 220 adult tickets and 80 children's tickets were sold.
6 0
3 years ago
5+x+(−2)=−85+x+(−2)=−8<br><br><br> x=?
sashaice [31]
5+x+(-2)=-85+x+(-2)=-8\\&#10;x-3=x-87=-8
x has no solution.
5 0
2 years ago
What would the answer be???
Korolek [52]

Answer:

The solution is obtained by adding the two equations.

The solution is: (x, y) = ($ - \frac{2}{3} $, $ - \frac{7}{3} $)

Step-by-step explanation:

We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.

The two equations are:

$ 7x + y = - 7 \hspace{15mm} \hdots (1) $

$ 2x - y = 1 \hspace{15mm} \hdots (2) $

Adding both the equations, we get:

$ 7x + 2x + y - y = - 7 + 1 $

$ \implies 9x = - 6 $

$ \implies x = - \frac{2}{3} $

Substituting the value of 'x', we get the value of y.

We substitute in (2). [Can be substituted in any equation].

We get: y = 2x - 1

$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $

$ \implies -\frac{4}{3} - 1 $

$ \implies y = -\frac{7}{3} $

So, we get the corresponding values of x and y which is the solution of the two equations.

4 0
3 years ago
Rob invests $3,715 in a retirement account
lions [1.4K]

Answer:

$14,048.62

Step-by-step explanation:

The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%

The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.

So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:

A = P (1 + [ r / n ]) ^ nt

A= amount of the balance after a period of t

P= principal, the initial money deposit( $3,715)

r= rate(9%)

n= number of compound per unit of time(3 times per year)

t= time(15 years)

The calculation will be:

A = P (1 + [ r / n ]) ^ nt

A = $3,715(\frac{1+0.09}{3} )^{3*15}

A = $14,048.62

4 0
3 years ago
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