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Bas_tet [7]
3 years ago
8

a student rolled two dice. what is the probability that the first die landed on a number less than 3 and the second die landed o

n a number greater than 4?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0
For the first die, the probability that the number is less than 3 is 2/6 or 1/3 because there are only 2 numbers (1 and 2) which are less than 3. For the second die, the probability that the number is greater than 4 is also 1/3 for only the numbers 5 and 6 satisfy the condition. To obtain the total probability, multiply the two probabilities because of the conjunction "and".

Thus, the answer is 1/9. 
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Express the product in simplest form.
Dmitry [639]

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

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

Therefore,

x^2-16 = x^2-4^2 =(x+4)(x-4)

Substitute these in given expression

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}

Cancel the common factors,

\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

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3 years ago
There are (4^9)^5 x 4^0 books at the library. What is the total number of books at the library?
sergejj [24]

Answer:

You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!

Step-by-step explanation:

3 0
3 years ago
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The cost of 10 days at Healthy Gym is $ .
liq [111]

Answer: $25

Step-by-step explanation:

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To play the lottery in a certain state a person has to correctly select 5 out of 45 numbers
nika2105 [10]

is that a true or false kind of question or what is it meant to be?

5 0
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Someone help me with this ASAP
romanna [79]

Answer:

<em>Circumference:</em> 18.84 cm

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Step-by-step explanation:

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3 years ago
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