1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lina2011 [118]
3 years ago
14

In the state of Pennsylvania, each standard automobile license plate number consists of three letters followed by a four-digit n

umber. How many distinct license plate numbers can be formed in Pennsylvania?
Mathematics
1 answer:
Ann [662]3 years ago
8 0

Answer:

17,576,000

Step-by-step explanation:

From A to Z, there are 26 possible letter characters (L).

From 0 to 9, there are 10 possible numeric characters (N)

If each standard automobile license plate number in Pennsylvania follows the pattern LLLNNNN, the number of license plates that can be formed is:

n=26*26*26*10*10*10*10\\n=17,576,000

17,576,000 distinct license plate numbers can be formed in Pennsylvania.

You might be interested in
-5 5/6-(-2 1/3)+5 1/6
Umnica [9.8K]

Answer: 1.66666666667

5 0
2 years ago
ASSIGNMENT: Show that the correct solution to the following system of equations is (-2, 0). Upload a photo of your work or neatl
ki77a [65]

Answer:

Step-by-step explanation:

5 0
3 years ago
Please answer this! 30 points
shepuryov [24]

Answer:

i think light blue

Step-by-step explanation:

that or dark blue but you have to graph the answer to find where it lands.

7 0
2 years ago
Admission to a county fair is $8 for adults and $5 for children. Find the total cost of admission for 3 adults and 4 children. *
son4ous [18]

Answer:

44$

Step-by-step explanation:

u multiply 8 by 3 and 5 by 4 and you get 24 and 20 and add 24 and 20 and u get 44

4 0
3 years ago
Read 2 more answers
Let X1,X2......X7 denote a random sample from a population having mean μ and variance σ. Consider the following estimators of μ:
Viefleur [7K]

Answer:

a) In order to check if an estimator is unbiased we need to check this condition:

E(\theta) = \mu

And we can find the expected value of each estimator like this:

E(\theta_1 ) = \frac{1}{7} E(X_1 +X_2 +... +X_7) = \frac{1}{7} [E(X_1) +E(X_2) +....+E(X_7)]= \frac{1}{7} 7\mu= \mu

So then we conclude that \theta_1 is unbiased.

For the second estimator we have this:

E(\theta_2) = \frac{1}{2} [2E(X_1) -E(X_3) +E(X_5)]=\frac{1}{2} [2\mu -\mu +\mu] = \frac{1}{2} [2\mu]= \mu

And then we conclude that \theta_2 is unbiaed too.

b) For this case first we need to find the variance of each estimator:

Var(\theta_1) = \frac{1}{49} (Var(X_1) +...+Var(X_7))= \frac{1}{49} (7\sigma^2) = \frac{\sigma^2}{7}

And for the second estimator we have this:

Var(\theta_2) = \frac{1}{4} (4\sigma^2 -\sigma^2 +\sigma^2)= \frac{1}{4} (4\sigma^2)= \sigma^2

And the relative efficiency is given by:

RE= \frac{Var(\theta_1)}{Var(\theta_2)}=\frac{\frac{\sigma^2}{7}}{\sigma^2}= \frac{1}{7}

Step-by-step explanation:

For this case we assume that we have a random sample given by: X_1, X_2,....,X_7 and each X_i \sim N (\mu, \sigma)

Part a

In order to check if an estimator is unbiased we need to check this condition:

E(\theta) = \mu

And we can find the expected value of each estimator like this:

E(\theta_1 ) = \frac{1}{7} E(X_1 +X_2 +... +X_7) = \frac{1}{7} [E(X_1) +E(X_2) +....+E(X_7)]= \frac{1}{7} 7\mu= \mu

So then we conclude that \theta_1 is unbiased.

For the second estimator we have this:

E(\theta_2) = \frac{1}{2} [2E(X_1) -E(X_3) +E(X_5)]=\frac{1}{2} [2\mu -\mu +\mu] = \frac{1}{2} [2\mu]= \mu

And then we conclude that \theta_2 is unbiaed too.

Part b

For this case first we need to find the variance of each estimator:

Var(\theta_1) = \frac{1}{49} (Var(X_1) +...+Var(X_7))= \frac{1}{49} (7\sigma^2) = \frac{\sigma^2}{7}

And for the second estimator we have this:

Var(\theta_2) = \frac{1}{4} (4\sigma^2 -\sigma^2 +\sigma^2)= \frac{1}{4} (4\sigma^2)= \sigma^2

And the relative efficiency is given by:

RE= \frac{Var(\theta_1)}{Var(\theta_2)}=\frac{\frac{\sigma^2}{7}}{\sigma^2}= \frac{1}{7}

5 0
4 years ago
Other questions:
  • Divide the following polynomial, then place the answer in the proper location on the grid.
    9·2 answers
  • 52. What is the range of the function f(x) = x2 - 6<br>when the domain is {3,4,5} ?​
    7·1 answer
  • Nigel borrows $250 and pays 5.5% simple interest each year. if he pays back the money in one year, what is the total amount that
    9·1 answer
  • 2/9 equals what fraction of 54
    11·2 answers
  • Write the equation of the vertical line that passes through the given point. (0, 0)
    12·1 answer
  • What is the answer to 7?
    8·2 answers
  • Evaluate 9x - 11 for x = -3 and x = 7.
    6·1 answer
  • V = ar2h<br> 12 cm<br> 5 cm <br><br> V ~ [?]cm<br> PLEASE HELP MEEEMEMEE
    9·1 answer
  • Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15<br>​
    13·1 answer
  • Find the measure of the indicated angle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!