The time series graph gives some information about the number of umbrellas sold in the first six months of 2015

Mathematics

1 answer:

tatiyna3 years ago

4 0

Answer:

For Part B let's add up how many scores there were in total which is 3 + 7 + 7 + 8 + 5 = 30. 30 / 5 = 6 so the answer is 6 rounds.

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of

slega [8]

<span>Let r(x,y) = (x, y, 9 - x^2 - y^2)

So, dr/dx x dr/dy = (2x, 2y, 1)

So, integral(S) F * dS
= integral(x in [0,1], y in [0,1]) (xy, y(9 - x^2 - y^2), x(9 - x^2 - y^2)) * (2x, 2y, 1) dy dx
= integral(x in [0,1], y in [0,1]) (2x^2y + 18y^2 - 2x^2y^2 - 2y^4 + 9x - x^3 - xy^2) dy dx
= integral(x in [0,1]) (x^2 + 6 - 2x^2/3 - 2/5 + 9x - x^3 - x/3) dx
= integral(x in [0,1]) (28/5 + x^2/3 + 26x/3 - x^3) dx
= 28/5 + 40/9 - 1/4
= 1763/180 </span>

6 0

3 years ago

A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss

EastWind [94]

Answer:

$5.3044992\times 10^{10}$

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Total number of possible different license plates = $5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22$ = $5.3044992\times 10^{10}$