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3 years ago

What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?

2 answers:

4 0

No matter the number of times you rolled the dice, the probability of getting a number is always 1/6. But here we can choose 4 numbers ( 1 to 4) hence the probability P( 1 or 2 or 3 or 4) = 4/6 2/3 = 0.6667 = 66.67% (A)

torisob [31]3 years ago

4 0

The answer is B. 1/3.

Hope this helps!!
~Kiwi

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3 years ago

Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x

AveGali [126]

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B) $3^{2x}$

C) $(3 * 3)^{x}$

Step-by-step explanation:

Given the exponential expression, $9^{x}$ :

A) $3^{x}*3^{x}$ is equivalent to $9^{x}$ due to the Product Rule of exponents: $a^{m} a^{n} = a^{m + n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x}$

Next, apply the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x} = 9^{x}$

B) $3^{2x}$ is equivalent to $9^{x}$ due to the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}$ .

C) $(3 * 3)^{x}$ is equivalent to $9^{x}$ due to the Product-to-Power Rule of exponents: $(ab)^{m} = a^{m} b^{m}$ .

$(3 * 3)^{x} = (9)^{x} = 9^{x}$

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