A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2

1 answer:

3 0

There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).

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GenaCL600 [577]

Answer:

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hoa [83]

Convert the fraction 3/4 to decimal form to get 3/4 = 0.75

To factor out 3/4, we divide each term by 3/4 or 0.75
It might be easier to divide by 0.75 to avoid two division symbols

So (3/4)z+6 = 0.75z+6
Divide each term (0.75z and 6) by 0.75 which is what we want to factor out

0.75z/0.75 = z
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Therefore,
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Note how we can distribute the 0.75 back through to each term inside (z and 8) and we'll end up with 0.75z+6 again.

The answer in fraction form is $\frac{3}{4}(z+8)$ which is 3/4 outside the parenthesis multiplied by the group (z+8)

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Vilka [71]

Answer:

Step-by-step explanation:

3.1.1 What do you mean by SARS

Answer 3.1.2

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2 years ago

1/4x plus 5 equals -4, what is x

morpeh [17]

1/4x + 5 = =4
subtract 5 to both sides
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Factor the following problems SHOW YOUR WORK 1. x^2+16x+24 2. x^2-10a+25

nalin [4]

x^2+16x+24: Think: What are the integer factors of 24? I'd list 1, 2, 3, 4, 6, 8, 12 and 24. Next: Look for a pair of factors from that list that:

(1)ADD up to 16 AND (2) whose product is 24. Unfortunately there seems to be no such pair from the above list.

So: Use the quadratic formula to find the roots of x^2+16x+24:

-16 plus or minus sqrt[ 256-4(1)(24) ]
x = --------------------------------------------------
2
-16 plus or minus sqrt(160) -16 plus or minus 4 sqrt(10)
= --------------------------------------- = ----------------------------------------
2 2
2(-8 plus or minus 2 sqrt(10) )
= ------------------------------------------- = -8 plus or minus 2sqrt(10)
2

If c is a root, (x-c) is a factor. Thus, if -8 plus 2sqrt(10) is a root,

(x+8-2sqrt(10) is a factor. Can you find the other factor?

x^2-10a+25 is much easier to factor. The sqrt of 25 is 5, so try x= -5 as a root. Dividing x-5 into x^2-10a+25, we get x-5. Therefore, the factors are

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3 years ago