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scoundrel [369]
3 years ago
8

Help plzzzzzzz......​

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

Step-by-step explanation:

A. England = 5.60*10000000

=56000000

B. Wale = 3.14*1000000 = 3140000

Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

C. Total population as at 2018 = 66460000

expected population by 2041 = 72900000

increase or change = (72900000 - 66460000) = 6440000

% change = (6440000/66460000)*100

= 0.0969003912 * 100

= 9.69003912

= 9.7 to 2sf

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How do the values in Pascal’s triangle connect to the coefficients?
damaskus [11]

Explanation:

Each row in Pascal's triangle is a listing of the values of nCk = n!/(k!(n-k)!) for some fixed n and k in the range 0 to n. nCk is <em>the number of combinations of n things taken k at a time</em>.

If you consider what happens when you multiply out the product (a +b)^n, you can see where the coefficients nCk come from. For example, consider the cube ...

  (a +b)^3 = (a +b)(a +b)(a +b)

The highest-degree "a" term will be a^3, the result of multiplying together the first terms of each of the binomials.

The term a^b will have a coefficient that reflects the sum of all the ways you can get a^b by multiplying different combinations of the terms. Here they are ...

  • (a +_)(a +_)(_ +b) = a·a·b = a^2b
  • (a +_)(_ +b)(a +_) = a·b·a = a^2b
  • (_ +b)(a +_)(a +_) = b·a·a = a^2b

Adding these three products together gives 3a^2b, the second term of the expansion.

For this cubic, the third term of the expansion is the sum of the ways you can get ab^2. It is essentially what is shown above, but with "a" and "b" swapped. Hence, there are 3 combinations, and the total is 3ab^2.

Of course, there is only one way to get b^3.

So the expansion of the cube (a+b)^3 is ...

  (a +b)^3 = a^3 + 3a^2b +3ab^2 +b^3 . . . . . with coefficients 1, 3, 3, 1 matching the 4th row of Pascal's triangle.

__

In short, the values in Pascal's triangle are the values of the number of combinations of n things taken k at a time. The coefficients of a binomial expansion are also the number of combinations of n things taken k at a time. Each term of the expansion of (a+b)^n is of the form (nCk)·a^(n-k)·b^k for k =0 to n.

6 0
3 years ago
I'm horrible at this please help:((((​
wel

Step-by-step explanation:

You can insert different values of x to find y

For example:

x = 4

Plug in x into the equation

y = -1/2(4) + 5

y = -2 + 5

y = 3

So your point will be (4, 3)

If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.

Hope this helped you!!

8 0
3 years ago
How much chocolate will each person get if 3 people share a half pound equally?
SIZIF [17.4K]
Each person would get 1/6 of the half pound. 

1/2 divided by 3= 1/6
7 0
3 years ago
Read 2 more answers
Due in 30 minutes!!<br><br> Thank you:)
Fynjy0 [20]

Answer:

The 3rd one as it's cubic

8 0
2 years ago
Read 2 more answers
What are the values of AB and DE in parallelogram<br><br> ABCD?<br><br> AB=?<br><br> PLEASE HELP
GarryVolchara [31]

Answer:

AB=12

ED=6

Step-by-step explanation:

AB=CD=12

BC=AD=26

ED=26-20=6

5 0
2 years ago
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