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qaws [65]
3 years ago
10

Help me some one plz (only part b)

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

The school can expect to raise 1500p for charity.

<u>Explanation:</u>

(a)

The possibility space is solved in the image attached.

(b)

20p for each player

30p for lollipop

Number of people = 120

Charity amount = ?

Out of 12 outcomes, the probability of getting 7 is 3

So, probability of getting 7 for 120 people = \frac{3}{12} X 120

                                                                  = 30

Money earned from the players = 20p X 120

                                                  = 2400p

Cost of 30 lollipops = 30p X 30

                               = 900p

Money received for charity = 2400p - 900p

                                          = 1500p

                                         

Therefore, the school can expect to raise 1500p for charity.                                

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il63 [147K]

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4 years ago
For the polynomial below, -1 is a zero of multiplicity of two.
mrs_skeptik [129]

Answer:

h(x)=(x+1)^2(x-1-5i)(x-1+5i)

Step-by-step explanation:

Given that -1 is a zero of multiplicity of two for the polynomial h(x) = x^4+23x^2+50x+26. This means that x-(-1)=x+1 is twice the linear factor.

Rewrite the polynomial h(x) = x^4+23x^2+50x+26 as follows:

h(x)\\ \\= x^4+23x^2+50x+26\\ \\=x^4+x^3-x^3-x^2+24x^2+24x+26x+26\\ \\=x^3(x+1)-x^2(x+1)+24x(x+1)+26(x+1)\\ \\=(x+1)(x^3-x^2+24x+26)\\ \\=(x+1)(x^3+x^2-2x^2-2x+26x+26)\\ \\=(x+1)(x^2(x+1)-2x(x+1)+26(x+1))\\ \\=(x+1)(x+1)(x^2-2x+26)

Find linear factors of the quadratic polynomial x^2-2x+26:

D=(-2)^2-4\cdot 1\cdot 26=4-104=-100=100i^2\\ \\\sqrt{D}=\sqrt{100i^2}=10i\\ \\x_{1,2}=\dfrac{-(-2)\pm 10i}{2\cdot 1}=\dfrac{2\pm 10i}{2}=1\pm 5i

Hence,

x^2-2x+26=(x-(1+5i))(x-(1-5i))=(x-1-5i)(x-1+5i)

and the initial polynomial factorization is

h(x)=(x+1)^2(x-1-5i)(x-1+5i)

5 0
3 years ago
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k0ka [10]

Answer:

23s-7

Step-by-step explanation:

expand

17s-10+6s+3

simplify

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3 0
3 years ago
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mr_godi [17]

Answer: It is 2.

Step-by-step explanation:

Make both equation equal to each other and solve for x, as following:

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- Factor the equation.

8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2

Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.

Then, this is:

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Vlada [557]

Answer:

D, F.

Step-by-step explanation:

D and F contain x^2.

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