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Ksivusya [100]
2 years ago
9

verron tossed a coin 20 times the results were 8 heads and 12 tails, What is the best comparison between the theoretical and exp

erimental probability of tossing heads?​
Mathematics
1 answer:
natta225 [31]2 years ago
6 0

Answer:

exp prob is less than theoret prob

Step-by-step explanation:

experimental   8 out of 20    8/20

theoretical      10 out of 20    10/20

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If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.
Lelechka [254]

Answer:

\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)

So we can say that

a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab

and we can notice that

a^2+b^2=(a+b)^2-2ab so

(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab

it comes

x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}

multiply by 3

3x^2-20x+2*16+5=3x^2-20x+37

4 0
3 years ago
Select the correct answer.
charle [14.2K]

Answer: C

Step-by-step explanation:

4^{-11/3 -(-2/3)=4^{-11/3 + 2/3}=4^{-3}=1/64

5 0
2 years ago
Carmen is mailing packages. Each small package costs her $2.60 to send. Each large package costs her $3.40. How much will it cos
Fantom [35]

Answer:

By themselves $18.20, $13.60, and together $31.80

Step-by-step explanation:

$2.60 multiplied by 7 equals $18.20

$3.40 multiplied by 4 equals $13.60

Together this equals $31.80

6 0
3 years ago
I need help fast...........
Gennadij [26K]
15x - 5(3x-7) = 14
15x - 15x+ 35 = 14
35 = 14 ...NOT TRUE

answer
NO solution

you got it correct
5 0
3 years ago
What is the answer to -10y+90=80​
Elza [17]

Answer:

y=1

Step-by-step explanation:

3 0
3 years ago
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