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OleMash [197]
2 years ago
15

You roll a number cube and record an even number 10 times in a row. As the number of times, you roll an even number increases, w

hat happens to the theoretical probability that you roll an even number
Mathematics
1 answer:
balu736 [363]2 years ago
4 0

Answer:

it stays the same

Step-by-step explanation:

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3. Which two expressions are equivalent for any value of y? *
-Dominant- [34]

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

3(3y+3)=3(3y)+3(3)

3(3y+3)=9y+9

Clearly, 3(3y+3) is not equivalent to 6y+6 or 9y+6. So, options A and B are incorrect.

9(y+3)=9(y)+9(3)

9(y+3)=9y+27

9(y+3)=27+9y

The expression 9(y+3) is not equivalent to 12+9y. So, option C is incorrect.

The expression 9(y+3) is equivalent to 27+9y.

Therefore, the correct option is D.

5 0
3 years ago
Use the Remainder Theorem to completely factor p(x) = x ^3 + 7x ^2 + 11x + 5.
tigry1 [53]

In order to use the remainder theorem, you need to have some idea what to divide by. The rational root theorem tells you rational roots will be from the list derived from the factors of the constant term, {±1, ±5}. When we compare coefficients of odd power terms to those of even power terms, we find their sums are equal, which means -1 is a root and (x +1) is a factor.

Dividing that from the cubic, we get a quotient of x² +6x +5 (and a remainder of zero). We recognize that 6 is the sum of the factors 1 and 5 of the constant term 5, so the factorization is

... = (x +1)(x +1)(x +5)

... = (x +1)²(x +5)

_____

The product of factors (x +a)(x +b) will be x² + (a+b)x + ab. That is, the factorization can be found by looking for factors of the constant term (ab) that add to give the coefficient of the linear term (a+b). The numbers found can be put directly into the binomial factors to make (x+a)(x+b).

When we have 1·5 = 5 and 1+5 = 6, we know the factorization of x²+6x+5 is (x+1)(x+5).

4 0
3 years ago
Read 2 more answers
What property is 6+(2x+2z)=(6+2x)+2z
timofeeve [1]
It would be the Associative property of addition i believe <span />
4 0
2 years ago
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2/3x=10 thankyou for helping me
Novay_Z [31]
(2/3)x = 10
(3/2)(2/3)x = 10(3/2)
x = 30/2 = 15
6 0
3 years ago
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What is the approximate volume of a cone if the radius is 10 in the heights at 12
mr_godi [17]
The answer should be
12ft^3
12cm^3
12yd^3
12in^3
7 0
3 years ago
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