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Ne4ueva [31]
3 years ago
15

Choose what the expressions below best represent within the context of the word problem.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0
The number is 10x + y
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In another state, all license plates consist of from four to six symbols chosen from the 26 letters of the alphabet together wit
fredd [130]
A)
First note that the plates can have between 4 and 6 symbols so we will need to find the number of plates with 4 symbols, 5 symbols and 6 symbols. We add these to get the total. In this part repetition of symbols is allowed. Since there are 26 + 10 =36 possible symbols we look at each position on the plate and think of how many choices there are. We multiply the number f choices using the counting principal since the choices are each independent -- one symbol does not affect another. There are 36 choices for the first symbol, 35 for the second and so on. The number of plates is:
4-symbols = (36)(36)(36)(36)=36^4
5 symbols = (36)^5
6 symbols = 36^6
So the total here is: 36^4+36^5+36^6

B) Here we do not repeat symbols so there are 36 choices for the first symbol but only 35 for the next and 34 for the one after and so on.
4-symbols = (36)(35)(34)(33)
5 symbols = (36)(35)(34)(33)(32)
6 symbols = (36)(35)(34)(33)(32)(31)
So the total here is: (36)(35)(34)(33)+(36)(35)(34)(33)(32)+(36)(35)(34)(33)(32)(31)

c)
In order for there to be a repeated symbol we have 36 choices for the first symbol, 36 for the next and so on. However, for the last symbol we have to pick from one of the ones already selected so there are 3, 4 or 5 choices respectively.
4-symbols = (36)(36)(36)(3)
5 symbols = (36)(36)(36)(36)(4)
6 symbols = (36)(36)(36)(36)(36)(5)
So the total here is: (36^3)(3)+(36^4)(4)+(36^5)(5)

D)
The probability is given by (the number of plates with at least one repeated symbol)/(the total number of plates if repetitions are allowed) = (the answer to c) / (the answer to a)
3 0
3 years ago
Need help on the blanks. Pretty lost atm
nlexa [21]

Answer:

  • -108.26
  • -108.13
  • -108.052
  • -108.026
  • -108

Step-by-step explanation:

A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.

The average velocity on the interval [a,b] will be ...

  v avg = (y(b) - y(a))/(b-a)

Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...

  v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t

This can be computed for each of the t-values given. The results are shown in the attached table.

__

We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.

The estimated instantaneous velocity is -108 ft/s.

_____

We can simplify the average velocity equation to ...

  v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t

  = (48t -26(t^2 +6t))/t

  = 48 -26t -156

<em>   v avg = -108 -26t</em>

Then the average velocity at t=0 is -108.

5 0
3 years ago
Can someone help me​
kogti [31]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A fund-raising company is putting together a student kit of candy bars for a school to use in its annual support campaign. To ma
Bess [88]

Answer:

jhf jfcqaife 8 joqa'  fhiaP

f

Step-by-step explanation:

7 0
3 years ago
Please help me with these questions
Gnoma [55]

1. -(6)^-1 = -1/6

2. -4.7^0 = 1

3. -1/p^-6 = -p^6

4. 4^6 × 4³ = 4^9

7 0
3 years ago
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