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2 years ago

You flip a coin and roll a dice.

Mathematics

1 answer:

Viktor [21]2 years ago

7 0

Answer:

25%

Step-by-step explanation: :On a coin, the probability of heads: if you flip it and its not rigged 50% although nothing is random just the lack off knowledge but yeah typically you would say 50% or .5 or half

ON a die, the probability of getting a number less than 3 is also half of 6 so it would be 25%.

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Answer:

x = 4, ∠I = 33°

Step-by-step explanation:

<u>Question 1</u>

Converse to Base Angles Theorem: 28 = 9x - 8,

28 = 9x - 8 (add 8 to both sides)

9x = 36 (divide both sides by 9)

x = 4

<u>Question 2</u>

Since the triangles are congruent, ∠A ≅ ∠G:

∠A = 55 = ∠G

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Answer:

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Step-by-step explanation:

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2 years ago

2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

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$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

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and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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