I need help please fast

A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher

tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

$10^{4}*26^{3} = 175760000$ possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

$P = \frac{78624000}{175760000} = 0.4473$

There is a 44.73% probability that all symbols are different.

7 0

3 years ago

A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W

crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

6 0

3 years ago

Can you guys help me <br> Thank you ☺

Jobisdone [24]

3/10 > 3/100

You turn 3/10 into 30/100 and 30 is greater than 3

8 0

3 years ago

Read 2 more answers

Simplify:<br> -11√21-11√/21

alex41 [277]

Step-by-step explanation:

by using the radical and suds rule

6 0

2 years ago

Please answer as many as possible (DON'T ADD LINKS) If you have any questions put them in the comments. There will be another qu

DIA [1.3K]

1.G 2.A 3.I think A 4. F. 5. I hope F could be wrong.

3 0

2 years ago